def __init__(self, train_X=None, valid_X=None, test_X=None, args=None, logger=None):
     # Output logger
     self.logger = logger
     self.outdir = args.get("output_path", defaults["output_path"])
     if self.outdir[-1] != '/':
         self.outdir = self.outdir+'/'
     # Input data - make sure it is a list of shared datasets
     self.train_X = raise_data_to_list(train_X)
     self.valid_X = raise_data_to_list(valid_X)
     self.test_X  = raise_data_to_list(test_X)
     
     # variables from the dataset that are used for initialization and image reconstruction
     if train_X is None:
         self.N_input = args.get("input_size")
         if args.get("input_size") is None:
             raise AssertionError("Please either specify input_size in the arguments or provide an example train_X for input dimensionality.")
     else:
         self.N_input = train_X[0].eval().shape[1]
     self.root_N_input = numpy.sqrt(self.N_input)
     
     self.is_image = args.get('is_image', defaults['is_image'])
     if self.is_image:
         self.image_width  = args.get('width', self.root_N_input)
         self.image_height = args.get('height', self.root_N_input)
     
     #######################################
     # Network and training specifications #
     #######################################
     self.layers          = args.get('layers', defaults['layers']) # number hidden layers
     self.walkbacks       = args.get('walkbacks', defaults['walkbacks']) # number of walkbacks
     self.learning_rate   = theano.shared(cast32(args.get('learning_rate', defaults['learning_rate'])))  # learning rate
     self.init_learn_rate = cast32(args.get('learning_rate', defaults['learning_rate']))
     self.momentum        = theano.shared(cast32(args.get('momentum', defaults['momentum']))) # momentum term
     self.annealing       = cast32(args.get('annealing', defaults['annealing'])) # exponential annealing coefficient
     self.noise_annealing = cast32(args.get('noise_annealing', defaults['noise_annealing'])) # exponential noise annealing coefficient
     self.batch_size      = args.get('batch_size', defaults['batch_size'])
     self.n_epoch         = args.get('n_epoch', defaults['n_epoch'])
     self.early_stop_threshold = args.get('early_stop_threshold', defaults['early_stop_threshold'])
     self.early_stop_length = args.get('early_stop_length', defaults['early_stop_length'])
     self.save_frequency  = args.get('save_frequency', defaults['save_frequency'])
     
     self.noiseless_h1           = args.get('noiseless_h1', defaults["noiseless_h1"])
     self.hidden_add_noise_sigma = theano.shared(cast32(args.get('hidden_add_noise_sigma', defaults["hidden_add_noise_sigma"])))
     self.input_salt_and_pepper  = theano.shared(cast32(args.get('input_salt_and_pepper', defaults["input_salt_and_pepper"])))
     self.input_sampling         = args.get('input_sampling', defaults["input_sampling"])
     self.vis_init               = args.get('vis_init', defaults['vis_init'])
     
     self.layer_sizes = [self.N_input] + [args.get('hidden_size', defaults['hidden_size'])] * self.layers # layer sizes, from h0 to hK (h0 is the visible layer)
     
     self.f_recon = None
     self.f_noise = None
     
     # Activation functions!            
     if args.get('hidden_activation') is not None:
         log.maybeLog(self.logger, 'Using specified activation for hiddens')
         self.hidden_activation = args.get('hidden_activation')
     elif args.get('hidden_act') is not None:
         self.hidden_activation = get_activation_function(args.get('hidden_act'))
         log.maybeLog(self.logger, 'Using {0!s} activation for hiddens'.format(args.get('hidden_act')))
     else:
         log.maybeLog(self.logger, "Using default activation for hiddens")
         self.hidden_activation = defaults['hidden_activation']
         
     # Visible layer activation
     if args.get('visible_activation') is not None:
         log.maybeLog(self.logger, 'Using specified activation for visible layer')
         self.visible_activation = args.get('visible_activation')
     elif args.get('visible_act') is not None:
         self.visible_activation = get_activation_function(args.get('visible_act'))
         log.maybeLog(self.logger, 'Using {0!s} activation for visible layer'.format(args.get('visible_act')))
     else:
         log.maybeLog(self.logger, 'Using default activation for visible layer')
         self.visible_activation = defaults['visible_activation']
         
     # Cost function!
     if args.get('cost_function') is not None:
         log.maybeLog(self.logger, '\nUsing specified cost function for training\n')
         self.cost_function = args.get('cost_function')
     elif args.get('cost_funct') is not None:
         self.cost_function = get_cost_function(args.get('cost_funct'))
         log.maybeLog(self.logger, 'Using {0!s} for cost function'.format(args.get('cost_funct')))
     else:
         log.maybeLog(self.logger, '\nUsing default cost function for training\n')
         self.cost_function = defaults['cost_function']
     
     ############################
     # Theano variables and RNG #
     ############################
     self.X   = T.fmatrix('X') # for use in sampling
     self.MRG = RNG_MRG.MRG_RandomStreams(1)
     rng.seed(1)
     
     ###############
     # Parameters! #
     ###############
     # initialize a list of weights and biases based on layer_sizes for the GSN
     if args.get('weights_list') is None:
         self.weights_list = [get_shared_weights(self.layer_sizes[layer], self.layer_sizes[layer+1], name="W_{0!s}_{1!s}".format(layer,layer+1)) for layer in range(self.layers)] # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
     else:
         self.weights_list = args.get('weights_list')
     if args.get('bias_list') is None:
         self.bias_list    = [get_shared_bias(self.layer_sizes[layer], name='b_'+str(layer)) for layer in range(self.layers + 1)] # initialize each layer to 0's.
     else:
         self.bias_list    = args.get('bias_list')
     self.params = self.weights_list + self.bias_list
     
     #################
     # Build the GSN #
     #################
     log.maybeLog(self.logger, "\nBuilding GSN graphs for training and testing")
     # GSN for training - with noise
     add_noise = True
     p_X_chain, _ = build_gsn(self.X,
                              self.weights_list,
                              self.bias_list,
                              add_noise,
                              self.noiseless_h1,
                              self.hidden_add_noise_sigma,
                              self.input_salt_and_pepper,
                              self.input_sampling,
                              self.MRG,
                              self.visible_activation,
                              self.hidden_activation,
                              self.walkbacks,
                              self.logger)
     
     # GSN for reconstruction checks along the way - no noise
     add_noise = False
     p_X_chain_recon, _ = build_gsn(self.X,
                                    self.weights_list,
                                    self.bias_list,
                                    add_noise,
                                    self.noiseless_h1,
                                    self.hidden_add_noise_sigma,
                                    self.input_salt_and_pepper,
                                    self.input_sampling,
                                    self.MRG,
                                    self.visible_activation,
                                    self.hidden_activation,
                                    self.walkbacks,
                                    self.logger)
     
     #######################
     # Costs and gradients #
     #######################
     log.maybeLog(self.logger, 'Cost w.r.t p(X|...) at every step in the graph for the GSN')
     gsn_costs     = [self.cost_function(rX, self.X) for rX in p_X_chain]
     show_gsn_cost = gsn_costs[-1] # for logging to show progress
     gsn_cost      = numpy.sum(gsn_costs)
     
     gsn_costs_recon     = [self.cost_function(rX, self.X) for rX in p_X_chain_recon]
     show_gsn_cost_recon = gsn_costs_recon[-1]
     
     log.maybeLog(self.logger, ["gsn params:", self.params])
     
     # Stochastic gradient descent!
     gradient        =   T.grad(gsn_cost, self.params)              
     gradient_buffer =   [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in self.params] 
     m_gradient      =   [self.momentum * gb + (cast32(1) - self.momentum) * g for (gb, g) in zip(gradient_buffer, gradient)]
     param_updates   =   [(param, param - self.learning_rate * mg) for (param, mg) in zip(self.params, m_gradient)]
     gradient_buffer_updates = zip(gradient_buffer, m_gradient)
     updates         =   OrderedDict(param_updates + gradient_buffer_updates)
     
     ############
     # Sampling #
     ############
     # the input to the sampling function
     X_sample = T.fmatrix("X_sampling")
     self.network_state_input = [X_sample] + [T.fmatrix("H_sampling_"+str(i+1)) for i in range(self.layers)]
    
     # "Output" state of the network (noisy)
     # initialized with input, then we apply updates
     self.network_state_output = [X_sample] + self.network_state_input[1:]
     visible_pX_chain = []
 
     # ONE update
     log.maybeLog(self.logger, "Performing one walkback in network state sampling.")
     update_layers(self.network_state_output,
                   self.weights_list,
                   self.bias_list,
                   visible_pX_chain, 
                   True,
                   self.noiseless_h1,
                   self.hidden_add_noise_sigma,
                   self.input_salt_and_pepper,
                   self.input_sampling,
                   self.MRG,
                   self.visible_activation,
                   self.hidden_activation,
                   self.logger)
     
     #################################
     #     Create the functions      #
     #################################
     log.maybeLog(self.logger, "Compiling functions...")
     t = time.time()
     
     self.f_learn = theano.function(inputs  = [self.X],
                               updates = updates,
                               outputs = show_gsn_cost,
                               name='gsn_f_learn')
 
     self.f_cost  = theano.function(inputs  = [self.X],
                               outputs = show_gsn_cost,
                               name='gsn_f_cost')
     
     # used for checkpoints and testing - no noise in network
     self.f_recon = theano.function(inputs  = [self.X],
                                    outputs = [show_gsn_cost_recon, p_X_chain_recon[-1]],
                                    name='gsn_f_recon')
     
     self.f_noise = theano.function(inputs = [self.X],
                                    outputs = salt_and_pepper(self.X, self.input_salt_and_pepper),
                                    name='gsn_f_noise')
 
     if self.layers == 1: 
         self.f_sample = theano.function(inputs = [X_sample], 
                                         outputs = visible_pX_chain[-1], 
                                         name='gsn_f_sample_single_layer')
     else:
         # WHY IS THERE A WARNING????
         # because the first odd layers are not used -> directly computed FROM THE EVEN layers
         # unused input = warn
         self.f_sample = theano.function(inputs = self.network_state_input,
                                         outputs = self.network_state_output + visible_pX_chain,
                                         on_unused_input='warn',
                                         name='gsn_f_sample')
     
     log.maybeLog(self.logger, "Compiling done. Took "+make_time_units_string(time.time() - t)+".\n")
    def __init__(self, train_X=None, train_Y=None, valid_X=None, valid_Y=None, test_X=None, test_Y=None, args=None, logger=None):
        # Output logger
        self.logger = logger
        self.outdir = args.get("output_path", defaults["output_path"])
        if self.outdir[-1] != '/':
            self.outdir = self.outdir+'/'
        # Input data
        self.train_X = train_X
        self.train_Y = train_Y
        self.valid_X = valid_X
        self.valid_Y = valid_Y
        self.test_X  = test_X
        self.test_Y  = test_Y
        
        # variables from the dataset that are used for initialization and image reconstruction
        if train_X is None:
            self.N_input = args.get("input_size")
            if args.get("input_size") is None:
                raise AssertionError("Please either specify input_size in the arguments or provide an example train_X for input dimensionality.")
        else:
            self.N_input = train_X.eval().shape[1]
        self.root_N_input = numpy.sqrt(self.N_input)
        
        self.is_image = args.get('is_image', defaults['is_image'])
        if self.is_image:
            self.image_width  = args.get('width', self.root_N_input)
            self.image_height = args.get('height', self.root_N_input)
            
        #######################################
        # Network and training specifications #
        #######################################
        self.gsn_layers      = args.get('gsn_layers', defaults['gsn_layers']) # number hidden layers
        self.walkbacks       = args.get('walkbacks', defaults['walkbacks']) # number of walkbacks
        self.learning_rate   = theano.shared(cast32(args.get('learning_rate', defaults['learning_rate'])))  # learning rate
        self.init_learn_rate = cast32(args.get('learning_rate', defaults['learning_rate']))
        self.momentum        = theano.shared(cast32(args.get('momentum', defaults['momentum']))) # momentum term
        self.annealing       = cast32(args.get('annealing', defaults['annealing'])) # exponential annealing coefficient
        self.noise_annealing = cast32(args.get('noise_annealing', defaults['noise_annealing'])) # exponential noise annealing coefficient
        self.batch_size      = args.get('batch_size', defaults['batch_size'])
        self.gsn_batch_size = args.get('gsn_batch_size', defaults['gsn_batch_size'])
        self.n_epoch         = args.get('n_epoch', defaults['n_epoch'])
        self.early_stop_threshold = args.get('early_stop_threshold', defaults['early_stop_threshold'])
        self.early_stop_length = args.get('early_stop_length', defaults['early_stop_length'])
        self.save_frequency  = args.get('save_frequency', defaults['save_frequency'])
        
        self.noiseless_h1           = args.get('noiseless_h1', defaults["noiseless_h1"])
        self.hidden_add_noise_sigma = theano.shared(cast32(args.get('hidden_add_noise_sigma', defaults["hidden_add_noise_sigma"])))
        self.input_salt_and_pepper  = theano.shared(cast32(args.get('input_salt_and_pepper', defaults["input_salt_and_pepper"])))
        self.input_sampling         = args.get('input_sampling', defaults["input_sampling"])
        self.vis_init               = args.get('vis_init', defaults['vis_init'])
        self.load_params            = args.get('load_params', defaults['load_params'])
        self.hessian_free           = args.get('hessian_free', defaults['hessian_free'])
        
        self.layer_sizes = [self.N_input] + [args.get('hidden_size', defaults['hidden_size'])] * self.gsn_layers # layer sizes, from h0 to hK (h0 is the visible layer)
        self.recurrent_hidden_size = args.get('recurrent_hidden_size', defaults['recurrent_hidden_size'])
        self.top_layer_sizes = [self.recurrent_hidden_size] + [args.get('hidden_size', defaults['hidden_size'])] * self.gsn_layers # layer sizes, from h0 to hK (h0 is the visible layer)
        
        self.f_recon = None
        self.f_noise = None
        
        # Activation functions!
        # For the GSN:
        if args.get('hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for GSN hiddens')
            self.hidden_activation = args.get('hidden_activation')
        elif args.get('hidden_act') == 'sigmoid':
            log.maybeLog(self.logger, 'Using sigmoid activation for GSN hiddens')
            self.hidden_activation = T.nnet.sigmoid
        elif args.get('hidden_act') == 'rectifier':
            log.maybeLog(self.logger, 'Using rectifier activation for GSN hiddens')
            self.hidden_activation = lambda x : T.maximum(cast32(0), x)
        elif args.get('hidden_act') == 'tanh':
            log.maybeLog(self.logger, 'Using hyperbolic tangent activation for GSN hiddens')
            self.hidden_activation = lambda x : T.tanh(x)
        elif args.get('hidden_act') is not None:
            log.maybeLog(self.logger, "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for GSN hiddens".format(args.get('hidden_act')))
            raise NotImplementedError("Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for GSN hiddens".format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for GSN hiddens")
            self.hidden_activation = defaults['hidden_activation']
        # For the RNN:
        if args.get('recurrent_hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for RNN hiddens')
            self.recurrent_hidden_activation = args.get('recurrent_hidden_activation')
        elif args.get('recurrent_hidden_act') == 'sigmoid':
            log.maybeLog(self.logger, 'Using sigmoid activation for RNN hiddens')
            self.recurrent_hidden_activation = T.nnet.sigmoid
        elif args.get('recurrent_hidden_act') == 'rectifier':
            log.maybeLog(self.logger, 'Using rectifier activation for RNN hiddens')
            self.recurrent_hidden_activation = lambda x : T.maximum(cast32(0), x)
        elif args.get('recurrent_hidden_act') == 'tanh':
            log.maybeLog(self.logger, 'Using hyperbolic tangent activation for RNN hiddens')
            self.recurrent_hidden_activation = lambda x : T.tanh(x)
        elif args.get('recurrent_hidden_act') is not None:
            log.maybeLog(self.logger, "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for RNN hiddens".format(args.get('hidden_act')))
            raise NotImplementedError("Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for RNN hiddens".format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for RNN hiddens")
            self.recurrent_hidden_activation = defaults['recurrent_hidden_activation']
        # Visible layer activation
        if args.get('visible_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for visible layer')
            self.visible_activation = args.get('visible_activation')
        elif args.get('visible_act') == 'sigmoid':
            log.maybeLog(self.logger, 'Using sigmoid activation for visible layer')
            self.visible_activation = T.nnet.sigmoid
        elif args.get('visible_act') == 'softmax':
            log.maybeLog(self.logger, 'Using softmax activation for visible layer')
            self.visible_activation = T.nnet.softmax
        elif args.get('visible_act') is not None:
            log.maybeLog(self.logger, "Did not recognize visible activation {0!s}, please use sigmoid or softmax".format(args.get('visible_act')))
            raise NotImplementedError("Did not recognize visible activation {0!s}, please use sigmoid or softmax".format(args.get('visible_act')))
        else:
            log.maybeLog(self.logger, 'Using default activation for visible layer')
            self.visible_activation = defaults['visible_activation']
            
        # Cost function!
        if args.get('cost_function') is not None:
            log.maybeLog(self.logger, '\nUsing specified cost function for GSN training\n')
            self.cost_function = args.get('cost_function')
        elif args.get('cost_funct') == 'binary_crossentropy':
            log.maybeLog(self.logger, '\nUsing binary cross-entropy cost!\n')
            self.cost_function = lambda x,y: T.mean(T.nnet.binary_crossentropy(x,y))
        elif args.get('cost_funct') == 'square':
            log.maybeLog(self.logger, "\nUsing square error cost!\n")
            #cost_function = lambda x,y: T.log(T.mean(T.sqr(x-y)))
            self.cost_function = lambda x,y: T.log(T.sum(T.pow((x-y),2)))
        elif args.get('cost_funct') is not None:
            log.maybeLog(self.logger, "\nDid not recognize cost function {0!s}, please use binary_crossentropy or square\n".format(args.get('cost_funct')))
            raise NotImplementedError("Did not recognize cost function {0!s}, please use binary_crossentropy or square".format(args.get('cost_funct')))
        else:
            log.maybeLog(self.logger, '\nUsing default cost function for GSN training\n')
            self.cost_function = defaults['cost_function']
        
        ############################
        # Theano variables and RNG #
        ############################
        self.X = T.fmatrix('X') #single (batch) for training gsn
        self.Xs = T.fmatrix('Xs') #sequence for training rnn
        self.MRG = RNG_MRG.MRG_RandomStreams(1)
        
        ###############
        # Parameters! #
        ###############
        #visible gsn
        self.weights_list = [get_shared_weights(self.layer_sizes[i], self.layer_sizes[i+1], name="W_{0!s}_{1!s}".format(i,i+1)) for i in range(self.gsn_layers)] # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.bias_list    = [get_shared_bias(self.layer_sizes[i], name='b_'+str(i)) for i in range(self.gsn_layers + 1)] # initialize each layer to 0's.
        
        #recurrent
        self.recurrent_to_gsn_weights_list = [get_shared_weights(self.recurrent_hidden_size, self.layer_sizes[layer], name="W_u_h{0!s}".format(layer)) for layer in range(self.gsn_layers+1) if layer%2 != 0]
        self.W_u_u = get_shared_weights(self.recurrent_hidden_size, self.recurrent_hidden_size, name="W_u_u")
        self.W_ins_u = get_shared_weights(args.get('hidden_size', defaults['hidden_size']), self.recurrent_hidden_size, name="W_ins_u")
        self.recurrent_bias = get_shared_bias(self.recurrent_hidden_size, name='b_u')
        
        #top layer gsn
        self.top_weights_list = [get_shared_weights(self.top_layer_sizes[i], self.top_layer_sizes[i+1], name="Wtop_{0!s}_{1!s}".format(i,i+1)) for i in range(self.gsn_layers)] # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.top_bias_list    = [get_shared_bias(self.top_layer_sizes[i], name='btop_'+str(i)) for i in range(self.gsn_layers + 1)] # initialize each layer to 0's.
        
        #lists for use with gradients
        self.gsn_params = self.weights_list + self.bias_list
        self.u_params   = [self.W_u_u, self.W_ins_u, self.recurrent_bias]
        self.top_params = self.top_weights_list + self.top_bias_list
        self.params     = self.gsn_params + self.recurrent_to_gsn_weights_list + self.u_params + self.top_params
        
        ###################################################
        #          load initial parameters                #
        ###################################################
        if self.load_params:
            params_to_load = 'gsn_params.pkl'
            log.maybeLog(self.logger, "\nLoading existing GSN parameters\n")
            loaded_params = cPickle.load(open(params_to_load,'r'))
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(self.weights_list)], self.weights_list)]
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.weights_list):], self.bias_list)]
            
            params_to_load = 'rnn_params.pkl'
            log.maybeLog(self.logger, "\nLoading existing RNN parameters\n")
            loaded_params = cPickle.load(open(params_to_load,'r'))
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(self.recurrent_to_gsn_weights_list)], self.recurrent_to_gsn_weights_list)]
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.recurrent_to_gsn_weights_list):len(self.recurrent_to_gsn_weights_list)+1], self.W_u_u)]
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.recurrent_to_gsn_weights_list)+1:len(self.recurrent_to_gsn_weights_list)+2], self.W_ins_u)]
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.recurrent_to_gsn_weights_list)+2:], self.recurrent_bias)]
            
            params_to_load = 'top_gsn_params.pkl'
            log.maybeLog(self.logger, "\nLoading existing top level GSN parameters\n")
            loaded_params = cPickle.load(open(params_to_load,'r'))
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(self.top_weights_list)], self.top_weights_list)]
            [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.top_weights_list):], self.top_bias_list)]
                
        self.gsn_args = {'weights_list':       self.weights_list,
                         'bias_list':          self.bias_list,
                         'hidden_activation':  self.hidden_activation,
                         'visible_activation': self.visible_activation,
                         'cost_function':      self.cost_function,
                         'layers':             self.gsn_layers,
                         'walkbacks':          self.walkbacks,
                         'hidden_size':        args.get('hidden_size', defaults['hidden_size']),
                         'learning_rate':      args.get('learning_rate', defaults['learning_rate']),
                         'momentum':           args.get('momentum', defaults['momentum']),
                         'annealing':          self.annealing,
                         'noise_annealing':    self.noise_annealing,
                         'batch_size':         self.gsn_batch_size,
                         'n_epoch':            self.n_epoch,
                         'early_stop_threshold':   self.early_stop_threshold,
                         'early_stop_length':      self.early_stop_length,
                         'save_frequency':         self.save_frequency,
                         'noiseless_h1':           self.noiseless_h1,
                         'hidden_add_noise_sigma': args.get('hidden_add_noise_sigma', defaults['hidden_add_noise_sigma']),
                         'input_salt_and_pepper':  args.get('input_salt_and_pepper', defaults['input_salt_and_pepper']),
                         'input_sampling':      self.input_sampling,
                         'vis_init':            self.vis_init,
                         'output_path':         self.outdir+'gsn/',
                         'is_image':            self.is_image,
                         'input_size':          self.N_input
                         }
        
        self.top_gsn_args = {'weights_list':       self.top_weights_list,
                             'bias_list':          self.top_bias_list,
                             'hidden_activation':  self.hidden_activation,
                             'visible_activation': self.recurrent_hidden_activation,
                             'cost_function':      self.cost_function,
                             'layers':             self.gsn_layers,
                             'walkbacks':          self.walkbacks,
                             'hidden_size':        args.get('hidden_size', defaults['hidden_size']),
                             'learning_rate':      args.get('learning_rate', defaults['learning_rate']),
                             'momentum':           args.get('momentum', defaults['momentum']),
                             'annealing':          self.annealing,
                             'noise_annealing':    self.noise_annealing,
                             'batch_size':         self.gsn_batch_size,
                             'n_epoch':            self.n_epoch,
                             'early_stop_threshold':   self.early_stop_threshold,
                             'early_stop_length':      self.early_stop_length,
                             'save_frequency':         self.save_frequency,
                             'noiseless_h1':           self.noiseless_h1,
                             'hidden_add_noise_sigma': args.get('hidden_add_noise_sigma', defaults['hidden_add_noise_sigma']),
                             'input_salt_and_pepper':  args.get('input_salt_and_pepper', defaults['input_salt_and_pepper']),
                             'input_sampling':      self.input_sampling,
                             'vis_init':            self.vis_init,
                             'output_path':         self.outdir+'top_gsn/',
                             'is_image':            False,
                             'input_size':          self.recurrent_hidden_size
                             }
            
        ############
        # Sampling #
        ############
        # the input to the sampling function
        X_sample = T.fmatrix("X_sampling")
        self.network_state_input = [X_sample] + [T.fmatrix("H_sampling_"+str(i+1)) for i in range(self.gsn_layers)]
       
        # "Output" state of the network (noisy)
        # initialized with input, then we apply updates
        self.network_state_output = [X_sample] + self.network_state_input[1:]
        visible_pX_chain = []
    
        # ONE update
        log.maybeLog(self.logger, "Performing one walkback in network state sampling.")
        generative_stochastic_network.update_layers(self.network_state_output,
                          self.weights_list,
                          self.bias_list,
                          visible_pX_chain, 
                          True,
                          self.noiseless_h1,
                          self.hidden_add_noise_sigma,
                          self.input_salt_and_pepper,
                          self.input_sampling,
                          self.MRG,
                          self.visible_activation,
                          self.hidden_activation,
                          self.logger)
    
               
        ##############################################
        #        Build the graphs for the SEN        #
        ##############################################
        # If `x_t` is given, deterministic recurrence to compute the u_t. Otherwise, first generate
        def recurrent_step(x_t, u_tm1, add_noise):
            # Make current guess for hiddens based on U
            for i in range(self.gsn_layers):
                if i%2 == 0:
                    log.maybeLog(self.logger, "Using {0!s} and {1!s}".format(self.recurrent_to_gsn_weights_list[(i+1)/2],self.bias_list[i+1]))
            h_t = T.concatenate([self.hidden_activation(self.bias_list[i+1] + T.dot(u_tm1, self.recurrent_to_gsn_weights_list[(i+1)/2])) for i in range(self.gsn_layers) if i%2 == 0],axis=0)
            
            # Make a GSN to update U
            _, hs = generative_stochastic_network.build_gsn(x_t, self.weights_list, self.bias_list, add_noise, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.logger)
            htop_t = hs[-1]
            ins_t = htop_t
            
            ua_t = T.dot(ins_t, self.W_ins_u) + T.dot(u_tm1, self.W_u_u) + self.recurrent_bias
            u_t = self.recurrent_hidden_activation(ua_t)
            return [ua_t, u_t, h_t]
        
        log.maybeLog(self.logger, "\nCreating recurrent step scan.")
        # For training, the deterministic recurrence is used to compute all the
        # {h_t, 1 <= t <= T} given Xs. Conditional GSNs can then be trained
        # in batches using those parameters.
        u0 = T.zeros((self.recurrent_hidden_size,))  # initial value for the RNN hidden units
        (ua, u, h_t), updates_recurrent = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, True),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        
        log.maybeLog(self.logger, "Now for reconstruction sample without noise")
        (_, _, h_t_recon), updates_recurrent_recon = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, False),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        # put together the hiddens list
        h_list = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list.append(T.zeros_like(T.dot(h_list[-1], w)))
            else:
                h_list.append((h_t.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
                
        h_list_recon = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list_recon.append(T.zeros_like(T.dot(h_list_recon[-1], w)))
            else:
                h_list_recon.append((h_t_recon.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
        
        #with noise
        _, cost, show_cost = generative_stochastic_network.build_gsn_given_hiddens(self.Xs, h_list, self.weights_list, self.bias_list, True, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function, self.logger)
        #without noise for reconstruction
        x_sample_recon, _, _ = generative_stochastic_network.build_gsn_given_hiddens(self.Xs, h_list_recon, self.weights_list, self.bias_list, False, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function, self.logger)
        
        updates_train = updates_recurrent
        updates_cost = updates_recurrent
        
        #############
        #   COSTS   #
        #############
        log.maybeLog(self.logger, '\nCost w.r.t p(X|...) at every step in the graph')
        start_functions_time = time.time()

        # if we are not using Hessian-free training create the normal sgd functions
        if not self.hessian_free:
            gradient      = T.grad(cost, self.params)      
            gradient_buffer = [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in self.params]
            
            m_gradient    = [self.momentum * gb + (cast32(1) - self.momentum) * g for (gb, g) in zip(gradient_buffer, gradient)]
            param_updates = [(param, param - self.learning_rate * mg) for (param, mg) in zip(self.params, m_gradient)]
            gradient_buffer_updates = zip(gradient_buffer, m_gradient)
                
            updates = OrderedDict(param_updates + gradient_buffer_updates)
            updates_train.update(updates)
        
            log.maybeLog(self.logger, "rnn-gsn learn...")
            self.f_learn = theano.function(inputs  = [self.Xs],
                                      updates = updates_train,
                                      outputs = show_cost,
                                      on_unused_input='warn',
                                      name='rnngsn_f_learn')
            
            log.maybeLog(self.logger, "rnn-gsn cost...")
            self.f_cost  = theano.function(inputs  = [self.Xs],
                                      updates = updates_cost,
                                      outputs = show_cost, 
                                      on_unused_input='warn',
                                      name='rnngsn_f_cost')
        
        log.maybeLog(self.logger, "Training/cost functions done.")
        
        # Denoise some numbers : show number, noisy number, predicted number, reconstructed number
        log.maybeLog(self.logger, "Creating graph for noisy reconstruction function at checkpoints during training.")
        self.f_recon = theano.function(inputs=[self.Xs],
                                       outputs=x_sample_recon[-1],
                                       updates=updates_recurrent_recon,
                                       name='rnngsn_f_recon')
        
        # a function to add salt and pepper noise
        self.f_noise = theano.function(inputs = [self.X],
                                       outputs = salt_and_pepper(self.X, self.input_salt_and_pepper),
                                       name='rnngsn_f_noise')
        # Sampling functions
        log.maybeLog(self.logger, "Creating sampling function...")
        if self.gsn_layers == 1: 
            self.f_sample = theano.function(inputs = [X_sample],
                                            outputs = visible_pX_chain[-1],
                                            name='rnngsn_f_sample_single_layer')
        else:
            # WHY IS THERE A WARNING????
            # because the first odd layers are not used -> directly computed FROM THE EVEN layers
            # unused input = warn
            self.f_sample = theano.function(inputs = self.network_state_input,
                                            outputs = self.network_state_output + visible_pX_chain,
                                            on_unused_input='warn',
                                            name='rnngsn_f_sample')
         
    
        log.maybeLog(self.logger, "Done compiling all functions.")
        compilation_time = time.time() - start_functions_time
        # Show the compile time with appropriate easy-to-read units.
        log.maybeLog(self.logger, "Total compilation time took "+make_time_units_string(compilation_time)+".\n\n")
Exemple #3
0
    def __init__(self, train_X=None, train_Y=None, valid_X=None, valid_Y=None, test_X=None, test_Y=None, args=None, logger=None):
        # Output logger
        self.logger = logger
        self.outdir = args.get("output_path", defaults["output_path"])
        if self.outdir[-1] != '/':
            self.outdir = self.outdir+'/'
            
        data.mkdir_p(self.outdir)
        
        # Configuration
        config_filename = self.outdir+'config'
        logger.log('Saving config')
        with open(config_filename, 'w') as f:
            f.write(str(args))
 
        # Input data - make sure it is a list of shared datasets if it isn't. THIS WILL KEEP 'NONE' AS 'NONE' no need to worry :)
        self.train_X = raise_to_list(train_X)
        self.train_Y = raise_to_list(train_Y)
        self.valid_X = raise_to_list(valid_X)
        self.valid_Y = raise_to_list(valid_Y)
        self.test_X  = raise_to_list(test_X)
        self.test_Y  = raise_to_list(test_Y)
                
        # variables from the dataset that are used for initialization and image reconstruction
        if self.train_X is None:
            self.N_input = args.get("input_size")
            if args.get("input_size") is None:
                raise AssertionError("Please either specify input_size in the arguments or provide an example train_X for input dimensionality.")
        else:
            self.N_input = self.train_X[0].get_value(borrow=True).shape[1]
        
        self.is_image = args.get('is_image', defaults['is_image'])
        if self.is_image:
            (_h, _w) = closest_to_square_factors(self.N_input)
            self.image_width  = args.get('width', _w)
            self.image_height = args.get('height', _h)
            
        #######################################
        # Network and training specifications #
        #######################################
        self.layers          = args.get('layers', defaults['layers']) # number hidden layers
        self.walkbacks       = args.get('walkbacks', defaults['walkbacks']) # number of walkbacks
        self.learning_rate   = theano.shared(cast32(args.get('learning_rate', defaults['learning_rate'])))  # learning rate
        self.init_learn_rate = cast32(args.get('learning_rate', defaults['learning_rate']))
        self.momentum        = theano.shared(cast32(args.get('momentum', defaults['momentum']))) # momentum term
        self.annealing       = cast32(args.get('annealing', defaults['annealing'])) # exponential annealing coefficient
        self.noise_annealing = cast32(args.get('noise_annealing', defaults['noise_annealing'])) # exponential noise annealing coefficient
        self.batch_size      = args.get('batch_size', defaults['batch_size'])
        self.gsn_batch_size = args.get('gsn_batch_size', defaults['gsn_batch_size'])
        self.n_epoch         = args.get('n_epoch', defaults['n_epoch'])
        self.early_stop_threshold = args.get('early_stop_threshold', defaults['early_stop_threshold'])
        self.early_stop_length = args.get('early_stop_length', defaults['early_stop_length'])
        self.save_frequency  = args.get('save_frequency', defaults['save_frequency'])
        
        self.noiseless_h1           = args.get('noiseless_h1', defaults["noiseless_h1"])
        self.hidden_add_noise_sigma = theano.shared(cast32(args.get('hidden_add_noise_sigma', defaults["hidden_add_noise_sigma"])))
        self.input_salt_and_pepper  = theano.shared(cast32(args.get('input_salt_and_pepper', defaults["input_salt_and_pepper"])))
        self.input_sampling         = args.get('input_sampling', defaults["input_sampling"])
        self.vis_init               = args.get('vis_init', defaults['vis_init'])
        self.initialize_gsn         = args.get('initialize_gsn', defaults['initialize_gsn'])
        self.hessian_free           = args.get('hessian_free', defaults['hessian_free'])
        
        self.hidden_size = args.get('hidden_size', defaults['hidden_size'])
        self.layer_sizes = [self.N_input] + [self.hidden_size] * self.layers # layer sizes, from h0 to hK (h0 is the visible layer)
        self.recurrent_hidden_size = args.get('recurrent_hidden_size', defaults['recurrent_hidden_size'])
        
        self.f_recon = None
        self.f_noise = None
        
        # Activation functions!
        # For the GSN:
        if args.get('hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for GSN hiddens')
            self.hidden_activation = args.get('hidden_activation')
        elif args.get('hidden_act') is not None:
            self.hidden_activation = get_activation_function(args.get('hidden_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for GSN hiddens'.format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for GSN hiddens")
            self.hidden_activation = defaults['hidden_activation']
            
        # For the RNN:
        if args.get('recurrent_hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for RNN hiddens')
            self.recurrent_hidden_activation = args.get('recurrent_hidden_activation')
        elif args.get('recurrent_hidden_act') is not None:
            self.recurrent_hidden_activation = get_activation_function(args.get('recurrent_hidden_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for RNN hiddens'.format(args.get('recurrent_hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for RNN hiddens")
            self.recurrent_hidden_activation = defaults['recurrent_hidden_activation']
            
        # Visible layer activation
        if args.get('visible_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for visible layer')
            self.visible_activation = args.get('visible_activation')
        elif args.get('visible_act') is not None:
            self.visible_activation = get_activation_function(args.get('visible_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for visible layer'.format(args.get('visible_act')))
        else:
            log.maybeLog(self.logger, 'Using default activation for visible layer')
            self.visible_activation = defaults['visible_activation']
            
        # Cost function!
        if args.get('cost_function') is not None:
            log.maybeLog(self.logger, '\nUsing specified cost function for GSN training\n')
            self.cost_function = args.get('cost_function')
        elif args.get('cost_funct') is not None:
            self.cost_function = get_cost_function(args.get('cost_funct'))
            log.maybeLog(self.logger, 'Using {0!s} for cost function'.format(args.get('cost_funct')))
        else:
            log.maybeLog(self.logger, '\nUsing default cost function for GSN training\n')
            self.cost_function = defaults['cost_function']
        
        ############################
        # Theano variables and RNG #
        ############################
        self.X = T.fmatrix('X') #single (batch) for training gsn
        self.Xs = T.fmatrix('Xs') #sequence for training rnn-gsn
        self.MRG = RNG_MRG.MRG_RandomStreams(1)
        
        ###############
        # Parameters! #
        ###############
        #gsn
        self.weights_list = [get_shared_weights(self.layer_sizes[i], self.layer_sizes[i+1], name="W_{0!s}_{1!s}".format(i,i+1)) for i in range(self.layers)] # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.bias_list    = [get_shared_bias(self.layer_sizes[i], name='b_'+str(i)) for i in range(self.layers + 1)] # initialize each layer to 0's.
        
        #recurrent
        self.recurrent_to_gsn_weights_list = [get_shared_weights(self.recurrent_hidden_size, self.layer_sizes[layer], name="W_u_h{0!s}".format(layer)) for layer in range(self.layers+1) if layer%2 != 0]
        self.W_u_u = get_shared_weights(self.recurrent_hidden_size, self.recurrent_hidden_size, name="W_u_u")
        self.W_x_u = get_shared_weights(self.N_input, self.recurrent_hidden_size, name="W_x_u")
        self.recurrent_bias = get_shared_bias(self.recurrent_hidden_size, name='b_u')
        
        #lists for use with gradients
        self.gsn_params = self.weights_list + self.bias_list
        self.u_params   = [self.W_u_u, self.W_x_u, self.recurrent_bias]
        self.params     = self.gsn_params + self.recurrent_to_gsn_weights_list + self.u_params
        
        ###########################################################
        #           load initial parameters of gsn                #
        ###########################################################
        self.train_gsn_first = False
        if self.initialize_gsn:
            params_to_load = 'gsn_params_epoch_30.pkl'
            if not os.path.isfile(params_to_load):
                self.train_gsn_first = True 
            else:
                log.maybeLog(self.logger, "\nLoading existing GSN parameters\n")
                loaded_params = cPickle.load(open(params_to_load,'r'))
                [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(self.weights_list)], self.weights_list)]
                [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.weights_list):], self.bias_list)]
                
        if self.initialize_gsn:
            self.gsn_args = {'weights_list':       self.weights_list,
                             'bias_list':          self.bias_list,
                             'hidden_activation':  self.hidden_activation,
                             'visible_activation': self.visible_activation,
                             'cost_function':      self.cost_function,
                             'layers':             self.layers,
                             'walkbacks':          self.walkbacks,
                             'hidden_size':        self.hidden_size,
                             'learning_rate':      args.get('learning_rate', defaults['learning_rate']),
                             'momentum':           args.get('momentum', defaults['momentum']),
                             'annealing':          self.annealing,
                             'noise_annealing':    self.noise_annealing,
                             'batch_size':         self.gsn_batch_size,
                             'n_epoch':            self.n_epoch,
                             'early_stop_threshold':   self.early_stop_threshold,
                             'early_stop_length':      self.early_stop_length,
                             'save_frequency':         self.save_frequency,
                             'noiseless_h1':           self.noiseless_h1,
                             'hidden_add_noise_sigma': args.get('hidden_add_noise_sigma', defaults['hidden_add_noise_sigma']),
                             'input_salt_and_pepper':  args.get('input_salt_and_pepper', defaults['input_salt_and_pepper']),
                             'input_sampling':      self.input_sampling,
                             'vis_init':            self.vis_init,
                             'output_path':         self.outdir+'gsn/',
                             'is_image':            self.is_image,
                             'input_size':          self.N_input
                             }
            
        ############
        # Sampling #
        ############
        # the input to the sampling function
        X_sample = T.fmatrix("X_sampling")
        self.network_state_input = [X_sample] + [T.fmatrix("H_sampling_"+str(i+1)) for i in range(self.layers)]
       
        # "Output" state of the network (noisy)
        # initialized with input, then we apply updates
        self.network_state_output = [X_sample] + self.network_state_input[1:]
        visible_pX_chain = []
    
        # ONE update
        _add_noise = True
        log.maybeLog(self.logger, "Performing one walkback in network state sampling.")
        GSN.update_layers(self.network_state_output,
                          self.weights_list,
                          self.bias_list,
                          visible_pX_chain, 
                          _add_noise,
                          self.noiseless_h1,
                          self.hidden_add_noise_sigma,
                          self.input_salt_and_pepper,
                          self.input_sampling,
                          self.MRG,
                          self.visible_activation,
                          self.hidden_activation,
                          self.logger)
    
               
        #############################################
        #      Build the graphs for the RNN-GSN     #
        #############################################
        # If `x_t` is given, deterministic recurrence to compute the u_t. Otherwise, first generate
        def recurrent_step(x_t, u_tm1, add_noise):
            # Make current guess for hiddens based on U
            for i in range(self.layers):
                if i%2 == 0:
                    log.maybeLog(self.logger, "Using {0!s} and {1!s}".format(self.recurrent_to_gsn_weights_list[(i+1)/2],self.bias_list[i+1]))
            h_t = T.concatenate([self.hidden_activation(self.bias_list[i+1] + T.dot(u_tm1, self.recurrent_to_gsn_weights_list[(i+1)/2])) for i in range(self.layers) if i%2 == 0],axis=0)
            
            generate = x_t is None
            if generate:
                pass
            
            # Make a GSN to update U
    #         chain, hs = gsn.build_gsn(x_t, weights_list, bias_list, add_noise, state.noiseless_h1, state.hidden_add_noise_sigma, state.input_salt_and_pepper, state.input_sampling, MRG, visible_activation, hidden_activation, walkbacks, logger)
    #         htop_t = hs[-1]
    #         denoised_x_t = chain[-1]
            # Update U
    #         ua_t = T.dot(denoised_x_t, W_x_u) + T.dot(htop_t, W_h_u) + T.dot(u_tm1, W_u_u) + recurrent_bias
            ua_t = T.dot(x_t, self.W_x_u) + T.dot(u_tm1, self.W_u_u) + self.recurrent_bias
            u_t = self.recurrent_hidden_activation(ua_t)
            return None if generate else [ua_t, u_t, h_t]
        
        log.maybeLog(self.logger, "\nCreating recurrent step scan.")
        # For training, the deterministic recurrence is used to compute all the
        # {h_t, 1 <= t <= T} given Xs. Conditional GSNs can then be trained
        # in batches using those parameters.
        u0 = T.zeros((self.recurrent_hidden_size,))  # initial value for the RNN hidden units
        (ua, u, h_t), updates_recurrent = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, True),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        
        log.maybeLog(self.logger, "Now for reconstruction sample without noise")
        (_, _, h_t_recon), updates_recurrent_recon = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, False),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        # put together the hiddens list
        h_list = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list.append(T.zeros_like(T.dot(h_list[-1], w)))
            else:
                h_list.append((h_t.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
                
        h_list_recon = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list_recon.append(T.zeros_like(T.dot(h_list_recon[-1], w)))
            else:
                h_list_recon.append((h_t_recon.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
        
        #with noise
        _, _, cost, show_cost, error = GSN.build_gsn_given_hiddens(self.Xs, h_list, self.weights_list, self.bias_list, True, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function)
        #without noise for reconstruction
        x_sample_recon, _, _, recon_show_cost, _ = GSN.build_gsn_given_hiddens(self.Xs, h_list_recon, self.weights_list, self.bias_list, False, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function)
        
        updates_train = updates_recurrent
        updates_cost = updates_recurrent
        
        #############
        #   COSTS   #
        #############
        log.maybeLog(self.logger, '\nCost w.r.t p(X|...) at every step in the graph')
        start_functions_time = time.time()

        # if we are not using Hessian-free training create the normal sgd functions
        if not self.hessian_free:
            gradient      = T.grad(cost, self.params)      
            gradient_buffer = [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in self.params]
            
            m_gradient    = [self.momentum * gb + (cast32(1) - self.momentum) * g for (gb, g) in zip(gradient_buffer, gradient)]
            param_updates = [(param, param - self.learning_rate * mg) for (param, mg) in zip(self.params, m_gradient)]
            gradient_buffer_updates = zip(gradient_buffer, m_gradient)
                
            updates = OrderedDict(param_updates + gradient_buffer_updates)
            updates_train.update(updates)
        
            log.maybeLog(self.logger, "rnn-gsn learn...")
            self.f_learn = theano.function(inputs  = [self.Xs],
                                      updates = updates_train,
                                      outputs = [show_cost, error],
                                      on_unused_input='warn',
                                      name='rnngsn_f_learn')
            
            log.maybeLog(self.logger, "rnn-gsn cost...")
            self.f_cost  = theano.function(inputs  = [self.Xs],
                                      updates = updates_cost,
                                      outputs = [show_cost, error],
                                      on_unused_input='warn',
                                      name='rnngsn_f_cost')
        
        log.maybeLog(self.logger, "Training/cost functions done.")
        
        # Denoise some numbers : show number, noisy number, predicted number, reconstructed number
        log.maybeLog(self.logger, "Creating graph for noisy reconstruction function at checkpoints during training.")
        self.f_recon = theano.function(inputs=[self.Xs],
                                       outputs=[x_sample_recon[-1], recon_show_cost],
                                       name='rnngsn_f_recon')
        
        # a function to add salt and pepper noise
        self.f_noise = theano.function(inputs = [self.X],
                                       outputs = salt_and_pepper(self.X, self.input_salt_and_pepper),
                                       name='rnngsn_f_noise')
        # Sampling functions
        log.maybeLog(self.logger, "Creating sampling function...")
        if self.layers == 1: 
            self.f_sample = theano.function(inputs = [X_sample],
                                            outputs = visible_pX_chain[-1],
                                            name='rnngsn_f_sample_single_layer')
        else:
            self.f_sample = theano.function(inputs = self.network_state_input,
                                            outputs = self.network_state_output + visible_pX_chain,
                                            on_unused_input='warn',
                                            name='rnngsn_f_sample')
        
    
        log.maybeLog(self.logger, "Done compiling all functions.")
        compilation_time = time.time() - start_functions_time
        # Show the compile time with appropriate easy-to-read units.
        log.maybeLog(self.logger, "Total compilation time took "+make_time_units_string(compilation_time)+".\n\n")
Exemple #4
0
    def __init__(self,
                 train_X=None,
                 valid_X=None,
                 test_X=None,
                 args=None,
                 logger=None):
        # Output logger
        self.logger = logger
        self.outdir = args.get("output_path", defaults["output_path"])
        if self.outdir[-1] != '/':
            self.outdir = self.outdir + '/'
        # Input data - make sure it is a list of shared datasets
        self.train_X = raise_data_to_list(train_X)
        self.valid_X = raise_data_to_list(valid_X)
        self.test_X = raise_data_to_list(test_X)

        # variables from the dataset that are used for initialization and image reconstruction
        if train_X is None:
            self.N_input = args.get("input_size")
            if args.get("input_size") is None:
                raise AssertionError(
                    "Please either specify input_size in the arguments or provide an example train_X for input dimensionality."
                )
        else:
            self.N_input = train_X[0].eval().shape[1]
        self.root_N_input = numpy.sqrt(self.N_input)

        self.is_image = args.get('is_image', defaults['is_image'])
        if self.is_image:
            self.image_width = args.get('width', self.root_N_input)
            self.image_height = args.get('height', self.root_N_input)

        #######################################
        # Network and training specifications #
        #######################################
        self.layers = args.get('layers',
                               defaults['layers'])  # number hidden layers
        self.walkbacks = args.get('walkbacks',
                                  defaults['walkbacks'])  # number of walkbacks
        self.learning_rate = theano.shared(
            cast32(args.get('learning_rate',
                            defaults['learning_rate'])))  # learning rate
        self.init_learn_rate = cast32(
            args.get('learning_rate', defaults['learning_rate']))
        self.momentum = theano.shared(
            cast32(args.get('momentum',
                            defaults['momentum'])))  # momentum term
        self.annealing = cast32(args.get(
            'annealing',
            defaults['annealing']))  # exponential annealing coefficient
        self.noise_annealing = cast32(
            args.get('noise_annealing', defaults['noise_annealing'])
        )  # exponential noise annealing coefficient
        self.batch_size = args.get('batch_size', defaults['batch_size'])
        self.n_epoch = args.get('n_epoch', defaults['n_epoch'])
        self.early_stop_threshold = args.get('early_stop_threshold',
                                             defaults['early_stop_threshold'])
        self.early_stop_length = args.get('early_stop_length',
                                          defaults['early_stop_length'])
        self.save_frequency = args.get('save_frequency',
                                       defaults['save_frequency'])

        self.noiseless_h1 = args.get('noiseless_h1', defaults["noiseless_h1"])
        self.hidden_add_noise_sigma = theano.shared(
            cast32(
                args.get('hidden_add_noise_sigma',
                         defaults["hidden_add_noise_sigma"])))
        self.input_salt_and_pepper = theano.shared(
            cast32(
                args.get('input_salt_and_pepper',
                         defaults["input_salt_and_pepper"])))
        self.input_sampling = args.get('input_sampling',
                                       defaults["input_sampling"])
        self.vis_init = args.get('vis_init', defaults['vis_init'])

        self.layer_sizes = [self.N_input] + [
            args.get('hidden_size', defaults['hidden_size'])
        ] * self.layers  # layer sizes, from h0 to hK (h0 is the visible layer)

        self.f_recon = None
        self.f_noise = None

        # Activation functions!
        if args.get('hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for hiddens')
            self.hidden_activation = args.get('hidden_activation')
        elif args.get('hidden_act') is not None:
            self.hidden_activation = get_activation_function(
                args.get('hidden_act'))
            log.maybeLog(
                self.logger, 'Using {0!s} activation for hiddens'.format(
                    args.get('hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for hiddens")
            self.hidden_activation = defaults['hidden_activation']

        # Visible layer activation
        if args.get('visible_activation') is not None:
            log.maybeLog(self.logger,
                         'Using specified activation for visible layer')
            self.visible_activation = args.get('visible_activation')
        elif args.get('visible_act') is not None:
            self.visible_activation = get_activation_function(
                args.get('visible_act'))
            log.maybeLog(
                self.logger, 'Using {0!s} activation for visible layer'.format(
                    args.get('visible_act')))
        else:
            log.maybeLog(self.logger,
                         'Using default activation for visible layer')
            self.visible_activation = defaults['visible_activation']

        # Cost function!
        if args.get('cost_function') is not None:
            log.maybeLog(self.logger,
                         '\nUsing specified cost function for training\n')
            self.cost_function = args.get('cost_function')
        elif args.get('cost_funct') is not None:
            self.cost_function = get_cost_function(args.get('cost_funct'))
            log.maybeLog(
                self.logger,
                'Using {0!s} for cost function'.format(args.get('cost_funct')))
        else:
            log.maybeLog(self.logger,
                         '\nUsing default cost function for training\n')
            self.cost_function = defaults['cost_function']

        ############################
        # Theano variables and RNG #
        ############################
        self.X = T.fmatrix('X')  # for use in sampling
        self.MRG = RNG_MRG.MRG_RandomStreams(1)
        rng.seed(1)

        ###############
        # Parameters! #
        ###############
        # initialize a list of weights and biases based on layer_sizes for the GSN
        if args.get('weights_list') is None:
            self.weights_list = [
                get_shared_weights(self.layer_sizes[layer],
                                   self.layer_sizes[layer + 1],
                                   name="W_{0!s}_{1!s}".format(
                                       layer, layer + 1))
                for layer in range(self.layers)
            ]  # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        else:
            self.weights_list = args.get('weights_list')
        if args.get('bias_list') is None:
            self.bias_list = [
                get_shared_bias(self.layer_sizes[layer],
                                name='b_' + str(layer))
                for layer in range(self.layers + 1)
            ]  # initialize each layer to 0's.
        else:
            self.bias_list = args.get('bias_list')
        self.params = self.weights_list + self.bias_list

        #################
        # Build the GSN #
        #################
        log.maybeLog(self.logger,
                     "\nBuilding GSN graphs for training and testing")
        # GSN for training - with noise
        add_noise = True
        p_X_chain, _ = build_gsn(
            self.X, self.weights_list, self.bias_list, add_noise,
            self.noiseless_h1, self.hidden_add_noise_sigma,
            self.input_salt_and_pepper, self.input_sampling, self.MRG,
            self.visible_activation, self.hidden_activation, self.walkbacks,
            self.logger)

        # GSN for reconstruction checks along the way - no noise
        add_noise = False
        p_X_chain_recon, _ = build_gsn(
            self.X, self.weights_list, self.bias_list, add_noise,
            self.noiseless_h1, self.hidden_add_noise_sigma,
            self.input_salt_and_pepper, self.input_sampling, self.MRG,
            self.visible_activation, self.hidden_activation, self.walkbacks,
            self.logger)

        #######################
        # Costs and gradients #
        #######################
        log.maybeLog(
            self.logger,
            'Cost w.r.t p(X|...) at every step in the graph for the GSN')
        gsn_costs = [self.cost_function(rX, self.X) for rX in p_X_chain]
        show_gsn_cost = gsn_costs[-1]  # for logging to show progress
        gsn_cost = numpy.sum(gsn_costs)

        gsn_costs_recon = [
            self.cost_function(rX, self.X) for rX in p_X_chain_recon
        ]
        show_gsn_cost_recon = gsn_costs_recon[-1]

        log.maybeLog(self.logger, ["gsn params:", self.params])

        # Stochastic gradient descent!
        gradient = T.grad(gsn_cost, self.params)
        gradient_buffer = [
            theano.shared(numpy.zeros(param.get_value().shape,
                                      dtype='float32'))
            for param in self.params
        ]
        m_gradient = [
            self.momentum * gb + (cast32(1) - self.momentum) * g
            for (gb, g) in zip(gradient_buffer, gradient)
        ]
        param_updates = [(param, param - self.learning_rate * mg)
                         for (param, mg) in zip(self.params, m_gradient)]
        gradient_buffer_updates = zip(gradient_buffer, m_gradient)
        updates = OrderedDict(param_updates + gradient_buffer_updates)

        ############
        # Sampling #
        ############
        # the input to the sampling function
        X_sample = T.fmatrix("X_sampling")
        self.network_state_input = [X_sample] + [
            T.fmatrix("H_sampling_" + str(i + 1)) for i in range(self.layers)
        ]

        # "Output" state of the network (noisy)
        # initialized with input, then we apply updates
        self.network_state_output = [X_sample] + self.network_state_input[1:]
        visible_pX_chain = []

        # ONE update
        log.maybeLog(self.logger,
                     "Performing one walkback in network state sampling.")
        update_layers(self.network_state_output, self.weights_list,
                      self.bias_list, visible_pX_chain, True,
                      self.noiseless_h1, self.hidden_add_noise_sigma,
                      self.input_salt_and_pepper, self.input_sampling,
                      self.MRG, self.visible_activation,
                      self.hidden_activation, self.logger)

        #################################
        #     Create the functions      #
        #################################
        log.maybeLog(self.logger, "Compiling functions...")
        t = time.time()

        self.f_learn = theano.function(inputs=[self.X],
                                       updates=updates,
                                       outputs=show_gsn_cost,
                                       name='gsn_f_learn')

        self.f_cost = theano.function(inputs=[self.X],
                                      outputs=show_gsn_cost,
                                      name='gsn_f_cost')

        # used for checkpoints and testing - no noise in network
        self.f_recon = theano.function(
            inputs=[self.X],
            outputs=[show_gsn_cost_recon, p_X_chain_recon[-1]],
            name='gsn_f_recon')

        self.f_noise = theano.function(inputs=[self.X],
                                       outputs=salt_and_pepper(
                                           self.X, self.input_salt_and_pepper),
                                       name='gsn_f_noise')

        if self.layers == 1:
            self.f_sample = theano.function(inputs=[X_sample],
                                            outputs=visible_pX_chain[-1],
                                            name='gsn_f_sample_single_layer')
        else:
            # WHY IS THERE A WARNING????
            # because the first odd layers are not used -> directly computed FROM THE EVEN layers
            # unused input = warn
            self.f_sample = theano.function(inputs=self.network_state_input,
                                            outputs=self.network_state_output +
                                            visible_pX_chain,
                                            on_unused_input='warn',
                                            name='gsn_f_sample')

        log.maybeLog(
            self.logger, "Compiling done. Took " +
            make_time_units_string(time.time() - t) + ".\n")
    def __init__(self, train_X=None, train_Y=None, valid_X=None, valid_Y=None, test_X=None, test_Y=None, args=None, logger=None):
        # Output logger
        self.logger = logger
        self.outdir = args.get("output_path", defaults["output_path"])
        if self.outdir[-1] != '/':
            self.outdir = self.outdir+'/'
            
        data.mkdir_p(self.outdir)
        
        # Configuration
        config_filename = self.outdir+'config'
        logger.log('Saving config')
        with open(config_filename, 'w') as f:
            f.write(str(args))
 
        # Input data - make sure it is a list of shared datasets if it isn't. THIS WILL KEEP 'NONE' AS 'NONE' no need to worry :)
        self.train_X = raise_to_list(train_X)
        self.train_Y = raise_to_list(train_Y)
        self.valid_X = raise_to_list(valid_X)
        self.valid_Y = raise_to_list(valid_Y)
        self.test_X  = raise_to_list(test_X)
        self.test_Y  = raise_to_list(test_Y)
                
        # variables from the dataset that are used for initialization and image reconstruction
        if self.train_X is None:
            self.N_input = args.get("input_size")
            if args.get("input_size") is None:
                raise AssertionError("Please either specify input_size in the arguments or provide an example train_X for input dimensionality.")
        else:
            self.N_input = self.train_X[0].get_value(borrow=True).shape[1]
        
        self.is_image = args.get('is_image', defaults['is_image'])
        if self.is_image:
            (_h, _w) = closest_to_square_factors(self.N_input)
            self.image_width  = args.get('width', _w)
            self.image_height = args.get('height', _h)
            
        #######################################
        # Network and training specifications #
        #######################################
        self.layers          = args.get('layers', defaults['layers']) # number hidden layers
        self.walkbacks       = args.get('walkbacks', defaults['walkbacks']) # number of walkbacks
        self.learning_rate   = theano.shared(cast32(args.get('learning_rate', defaults['learning_rate'])))  # learning rate
        self.init_learn_rate = cast32(args.get('learning_rate', defaults['learning_rate']))
        self.momentum        = theano.shared(cast32(args.get('momentum', defaults['momentum']))) # momentum term
        self.annealing       = cast32(args.get('annealing', defaults['annealing'])) # exponential annealing coefficient
        self.noise_annealing = cast32(args.get('noise_annealing', defaults['noise_annealing'])) # exponential noise annealing coefficient
        self.batch_size      = args.get('batch_size', defaults['batch_size'])
        self.gsn_batch_size = args.get('gsn_batch_size', defaults['gsn_batch_size'])
        self.n_epoch         = args.get('n_epoch', defaults['n_epoch'])
        self.early_stop_threshold = args.get('early_stop_threshold', defaults['early_stop_threshold'])
        self.early_stop_length = args.get('early_stop_length', defaults['early_stop_length'])
        self.save_frequency  = args.get('save_frequency', defaults['save_frequency'])
        
        self.noiseless_h1           = args.get('noiseless_h1', defaults["noiseless_h1"])
        self.hidden_add_noise_sigma = theano.shared(cast32(args.get('hidden_add_noise_sigma', defaults["hidden_add_noise_sigma"])))
        self.input_salt_and_pepper  = theano.shared(cast32(args.get('input_salt_and_pepper', defaults["input_salt_and_pepper"])))
        self.input_sampling         = args.get('input_sampling', defaults["input_sampling"])
        self.vis_init               = args.get('vis_init', defaults['vis_init'])
        self.initialize_gsn         = args.get('initialize_gsn', defaults['initialize_gsn'])
        self.hessian_free           = args.get('hessian_free', defaults['hessian_free'])
        
        self.hidden_size = args.get('hidden_size', defaults['hidden_size'])
        self.layer_sizes = [self.N_input] + [self.hidden_size] * self.layers # layer sizes, from h0 to hK (h0 is the visible layer)
        self.recurrent_hidden_size = args.get('recurrent_hidden_size', defaults['recurrent_hidden_size'])
        
        self.f_recon = None
        self.f_noise = None
        
        # Activation functions!
        # For the GSN:
        if args.get('hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for GSN hiddens')
            self.hidden_activation = args.get('hidden_activation')
        elif args.get('hidden_act') is not None:
            self.hidden_activation = get_activation_function(args.get('hidden_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for GSN hiddens'.format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for GSN hiddens")
            self.hidden_activation = defaults['hidden_activation']
            
        # For the RNN:
        if args.get('recurrent_hidden_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for RNN hiddens')
            self.recurrent_hidden_activation = args.get('recurrent_hidden_activation')
        elif args.get('recurrent_hidden_act') is not None:
            self.recurrent_hidden_activation = get_activation_function(args.get('recurrent_hidden_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for RNN hiddens'.format(args.get('recurrent_hidden_act')))
        else:
            log.maybeLog(self.logger, "Using default activation for RNN hiddens")
            self.recurrent_hidden_activation = defaults['recurrent_hidden_activation']
            
        # Visible layer activation
        if args.get('visible_activation') is not None:
            log.maybeLog(self.logger, 'Using specified activation for visible layer')
            self.visible_activation = args.get('visible_activation')
        elif args.get('visible_act') is not None:
            self.visible_activation = get_activation_function(args.get('visible_act'))
            log.maybeLog(self.logger, 'Using {0!s} activation for visible layer'.format(args.get('visible_act')))
        else:
            log.maybeLog(self.logger, 'Using default activation for visible layer')
            self.visible_activation = defaults['visible_activation']
            
        # Cost function!
        if args.get('cost_function') is not None:
            log.maybeLog(self.logger, '\nUsing specified cost function for GSN training\n')
            self.cost_function = args.get('cost_function')
        elif args.get('cost_funct') is not None:
            self.cost_function = get_cost_function(args.get('cost_funct'))
            log.maybeLog(self.logger, 'Using {0!s} for cost function'.format(args.get('cost_funct')))
        else:
            log.maybeLog(self.logger, '\nUsing default cost function for GSN training\n')
            self.cost_function = defaults['cost_function']
        
        ############################
        # Theano variables and RNG #
        ############################
        self.X = T.fmatrix('X') #single (batch) for training gsn
        self.Xs = T.fmatrix('Xs') #sequence for training rnn-gsn
        self.MRG = RNG_MRG.MRG_RandomStreams(1)
        
        ###############
        # Parameters! #
        ###############
        #gsn
        self.weights_list = [get_shared_weights(self.layer_sizes[i], self.layer_sizes[i+1], name="W_{0!s}_{1!s}".format(i,i+1)) for i in range(self.layers)] # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.bias_list    = [get_shared_bias(self.layer_sizes[i], name='b_'+str(i)) for i in range(self.layers + 1)] # initialize each layer to 0's.
        
        #recurrent
        self.recurrent_to_gsn_weights_list = [get_shared_weights(self.recurrent_hidden_size, self.layer_sizes[layer], name="W_u_h{0!s}".format(layer)) for layer in range(self.layers+1) if layer%2 != 0]
        self.W_u_u = get_shared_weights(self.recurrent_hidden_size, self.recurrent_hidden_size, name="W_u_u")
        self.W_x_u = get_shared_weights(self.N_input, self.recurrent_hidden_size, name="W_x_u")
        self.recurrent_bias = get_shared_bias(self.recurrent_hidden_size, name='b_u')
        
        #lists for use with gradients
        self.gsn_params = self.weights_list + self.bias_list
        self.u_params   = [self.W_u_u, self.W_x_u, self.recurrent_bias]
        self.params     = self.gsn_params + self.recurrent_to_gsn_weights_list + self.u_params
        
        ###########################################################
        #           load initial parameters of gsn                #
        ###########################################################
        self.train_gsn_first = False
        if self.initialize_gsn:
            params_to_load = 'gsn_params.pkl'
            if not os.path.isfile(params_to_load):
                self.train_gsn_first = True 
            else:
                log.maybeLog(self.logger, "\nLoading existing GSN parameters\n")
                loaded_params = cPickle.load(open(params_to_load,'r'))
                [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(self.weights_list)], self.weights_list)]
                [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(self.weights_list):], self.bias_list)]
                
        if self.initialize_gsn:
            self.gsn_args = {'weights_list':       self.weights_list,
                             'bias_list':          self.bias_list,
                             'hidden_activation':  self.hidden_activation,
                             'visible_activation': self.visible_activation,
                             'cost_function':      self.cost_function,
                             'layers':             self.layers,
                             'walkbacks':          self.walkbacks,
                             'hidden_size':        self.hidden_size,
                             'learning_rate':      args.get('learning_rate', defaults['learning_rate']),
                             'momentum':           args.get('momentum', defaults['momentum']),
                             'annealing':          self.annealing,
                             'noise_annealing':    self.noise_annealing,
                             'batch_size':         self.gsn_batch_size,
                             'n_epoch':            self.n_epoch,
                             'early_stop_threshold':   self.early_stop_threshold,
                             'early_stop_length':      self.early_stop_length,
                             'save_frequency':         self.save_frequency,
                             'noiseless_h1':           self.noiseless_h1,
                             'hidden_add_noise_sigma': args.get('hidden_add_noise_sigma', defaults['hidden_add_noise_sigma']),
                             'input_salt_and_pepper':  args.get('input_salt_and_pepper', defaults['input_salt_and_pepper']),
                             'input_sampling':      self.input_sampling,
                             'vis_init':            self.vis_init,
                             'output_path':         self.outdir+'gsn/',
                             'is_image':            self.is_image,
                             'input_size':          self.N_input
                             }
            
        ############
        # Sampling #
        ############
        # the input to the sampling function
        X_sample = T.fmatrix("X_sampling")
        self.network_state_input = [X_sample] + [T.fmatrix("H_sampling_"+str(i+1)) for i in range(self.layers)]
       
        # "Output" state of the network (noisy)
        # initialized with input, then we apply updates
        self.network_state_output = [X_sample] + self.network_state_input[1:]
        visible_pX_chain = []
    
        # ONE update
        _add_noise = True
        log.maybeLog(self.logger, "Performing one walkback in network state sampling.")
        GSN.update_layers(self.network_state_output,
                          self.weights_list,
                          self.bias_list,
                          visible_pX_chain, 
                          _add_noise,
                          self.noiseless_h1,
                          self.hidden_add_noise_sigma,
                          self.input_salt_and_pepper,
                          self.input_sampling,
                          self.MRG,
                          self.visible_activation,
                          self.hidden_activation,
                          self.logger)
    
               
        #############################################
        #      Build the graphs for the RNN-GSN     #
        #############################################
        # If `x_t` is given, deterministic recurrence to compute the u_t. Otherwise, first generate
        def recurrent_step(x_t, u_tm1, add_noise):
            # Make current guess for hiddens based on U
            for i in range(self.layers):
                if i%2 == 0:
                    log.maybeLog(self.logger, "Using {0!s} and {1!s}".format(self.recurrent_to_gsn_weights_list[(i+1)/2],self.bias_list[i+1]))
            h_t = T.concatenate([self.hidden_activation(self.bias_list[i+1] + T.dot(u_tm1, self.recurrent_to_gsn_weights_list[(i+1)/2])) for i in range(self.layers) if i%2 == 0],axis=0)
            
            generate = x_t is None
            if generate:
                pass
            
            # Make a GSN to update U
    #         chain, hs = gsn.build_gsn(x_t, weights_list, bias_list, add_noise, state.noiseless_h1, state.hidden_add_noise_sigma, state.input_salt_and_pepper, state.input_sampling, MRG, visible_activation, hidden_activation, walkbacks, logger)
    #         htop_t = hs[-1]
    #         denoised_x_t = chain[-1]
            # Update U
    #         ua_t = T.dot(denoised_x_t, W_x_u) + T.dot(htop_t, W_h_u) + T.dot(u_tm1, W_u_u) + recurrent_bias
            ua_t = T.dot(x_t, self.W_x_u) + T.dot(u_tm1, self.W_u_u) + self.recurrent_bias
            u_t = self.recurrent_hidden_activation(ua_t)
            return None if generate else [ua_t, u_t, h_t]
        
        log.maybeLog(self.logger, "\nCreating recurrent step scan.")
        # For training, the deterministic recurrence is used to compute all the
        # {h_t, 1 <= t <= T} given Xs. Conditional GSNs can then be trained
        # in batches using those parameters.
        u0 = T.zeros((self.recurrent_hidden_size,))  # initial value for the RNN hidden units
        (ua, u, h_t), updates_recurrent = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, True),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        
        log.maybeLog(self.logger, "Now for reconstruction sample without noise")
        (_, _, h_t_recon), updates_recurrent_recon = theano.scan(fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, False),
                                                           sequences=self.Xs,
                                                           outputs_info=[None, u0, None],
                                                           non_sequences=self.params)
        # put together the hiddens list
        h_list = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list.append(T.zeros_like(T.dot(h_list[-1], w)))
            else:
                h_list.append((h_t.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
                
        h_list_recon = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer%2 != 0:
                h_list_recon.append(T.zeros_like(T.dot(h_list_recon[-1], w)))
            else:
                h_list_recon.append((h_t_recon.T[(layer/2)*self.hidden_size:(layer/2+1)*self.hidden_size]).T)
        
        #with noise
        _, _, cost, show_cost, error = GSN.build_gsn_given_hiddens(self.Xs, h_list, self.weights_list, self.bias_list, True, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function)
        #without noise for reconstruction
        x_sample_recon, _, _, recon_show_cost, _ = GSN.build_gsn_given_hiddens(self.Xs, h_list_recon, self.weights_list, self.bias_list, False, self.noiseless_h1, self.hidden_add_noise_sigma, self.input_salt_and_pepper, self.input_sampling, self.MRG, self.visible_activation, self.hidden_activation, self.walkbacks, self.cost_function)
        
        updates_train = updates_recurrent
        updates_cost = updates_recurrent
        
        #############
        #   COSTS   #
        #############
        log.maybeLog(self.logger, '\nCost w.r.t p(X|...) at every step in the graph')
        start_functions_time = time.time()

        # if we are not using Hessian-free training create the normal sgd functions
        if not self.hessian_free:
            gradient      = T.grad(cost, self.params)      
            gradient_buffer = [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in self.params]
            
            m_gradient    = [self.momentum * gb + (cast32(1) - self.momentum) * g for (gb, g) in zip(gradient_buffer, gradient)]
            param_updates = [(param, param - self.learning_rate * mg) for (param, mg) in zip(self.params, m_gradient)]
            gradient_buffer_updates = zip(gradient_buffer, m_gradient)
                
            updates = OrderedDict(param_updates + gradient_buffer_updates)
            updates_train.update(updates)
        
            log.maybeLog(self.logger, "rnn-gsn learn...")
            self.f_learn = theano.function(inputs  = [self.Xs],
                                      updates = updates_train,
                                      outputs = [show_cost, error],
                                      on_unused_input='warn',
                                      name='rnngsn_f_learn')
            
            log.maybeLog(self.logger, "rnn-gsn cost...")
            self.f_cost  = theano.function(inputs  = [self.Xs],
                                      updates = updates_cost,
                                      outputs = [show_cost, error],
                                      on_unused_input='warn',
                                      name='rnngsn_f_cost')
        
        log.maybeLog(self.logger, "Training/cost functions done.")
        
        # Denoise some numbers : show number, noisy number, predicted number, reconstructed number
        log.maybeLog(self.logger, "Creating graph for noisy reconstruction function at checkpoints during training.")
        self.f_recon = theano.function(inputs=[self.Xs],
                                       outputs=[x_sample_recon[-1], recon_show_cost],
                                       name='rnngsn_f_recon')
        
        # a function to add salt and pepper noise
        self.f_noise = theano.function(inputs = [self.X],
                                       outputs = salt_and_pepper(self.X, self.input_salt_and_pepper),
                                       name='rnngsn_f_noise')
        # Sampling functions
        log.maybeLog(self.logger, "Creating sampling function...")
        if self.layers == 1: 
            self.f_sample = theano.function(inputs = [X_sample],
                                            outputs = visible_pX_chain[-1],
                                            name='rnngsn_f_sample_single_layer')
        else:
            self.f_sample = theano.function(inputs = self.network_state_input,
                                            outputs = self.network_state_output + visible_pX_chain,
                                            on_unused_input='warn',
                                            name='rnngsn_f_sample')
        
    
        log.maybeLog(self.logger, "Done compiling all functions.")
        compilation_time = time.time() - start_functions_time
        # Show the compile time with appropriate easy-to-read units.
        log.maybeLog(self.logger, "Total compilation time took "+make_time_units_string(compilation_time)+".\n\n")
Exemple #6
0
def experiment(state, outdir_base='./'):
    rng.seed(1)  # seed the numpy random generator
    R.seed(1)  # seed the other random generator (for reconstruction function indices)
    # Initialize the output directories and files
    data.mkdir_p(outdir_base)
    outdir = outdir_base + "/" + state.dataset + "/"
    data.mkdir_p(outdir)
    logger = Logger(outdir)
    train_convergence = outdir + "train_convergence.csv"
    valid_convergence = outdir + "valid_convergence.csv"
    test_convergence = outdir + "test_convergence.csv"
    regression_train_convergence = outdir + "regression_train_convergence.csv"
    regression_valid_convergence = outdir + "regression_valid_convergence.csv"
    regression_test_convergence = outdir + "regression_test_convergence.csv"
    init_empty_file(train_convergence)
    init_empty_file(valid_convergence)
    init_empty_file(test_convergence)
    init_empty_file(regression_train_convergence)
    init_empty_file(regression_valid_convergence)
    init_empty_file(regression_test_convergence)

    logger.log("----------MODEL 1, {0!s}--------------\n\n".format(state.dataset))

    # load parameters from config file if this is a test
    config_filename = outdir + 'config'
    if state.test_model and 'config' in os.listdir(outdir):
        config_vals = load_from_config(config_filename)
        for CV in config_vals:
            logger.log(CV)
            if CV.startswith('test'):
                logger.log('Do not override testing switch')
                continue
            try:
                exec('state.' + CV) in globals(), locals()
            except:
                exec('state.' + CV.split('=')[0] + "='" + CV.split('=')[1] + "'") in globals(), locals()
    else:
        # Save the current configuration
        # Useful for logs/experiments
        logger.log('Saving config')
        with open(config_filename, 'w') as f:
            f.write(str(state))

    logger.log(state)

    ####################################################
    # Load the data, train = train+valid, and sequence #
    ####################################################
    artificial = False  # internal flag to see if the dataset is one of my artificially-sequenced MNIST varieties.
    if state.dataset == 'MNIST_1' or state.dataset == 'MNIST_2' or state.dataset == 'MNIST_3' or state.dataset == 'MNIST_4':
        (train_X, train_Y), (valid_X, valid_Y), (test_X, test_Y) = data.load_mnist(state.data_path)
        train_X = numpy.concatenate((train_X, valid_X))
        train_Y = numpy.concatenate((train_Y, valid_Y))
        artificial = True
        try:
            dataset = int(state.dataset.split('_')[1])
        except:
            raise AssertionError("artificial dataset number not recognized. Input was " + state.dataset)
    else:
        raise AssertionError("dataset not recognized.")

    # transfer the datasets into theano shared variables
    train_X = theano.shared(train_X)
    train_Y = theano.shared(train_Y)
    valid_X = theano.shared(valid_X)
    valid_Y = theano.shared(valid_Y)
    test_X = theano.shared(test_X)
    test_Y = theano.shared(test_Y)

    if artificial:  # if it my MNIST sequence, appropriately sequence it.
        logger.log('Sequencing MNIST data...')
        logger.log(['train set size:', len(train_Y.eval())])
        logger.log(['valid set size:', len(valid_Y.eval())])
        logger.log(['test set size:', len(test_Y.eval())])
        data.sequence_mnist_data(train_X, train_Y, valid_X, valid_Y, test_X, test_Y, dataset, rng)
        logger.log(['train set size:', len(train_Y.eval())])
        logger.log(['valid set size:', len(valid_Y.eval())])
        logger.log(['test set size:', len(test_Y.eval())])
        logger.log('Sequencing done.\n')

    # variables from the dataset that are used for initialization and image reconstruction
    N_input = train_X.eval().shape[1]
    root_N_input = numpy.sqrt(N_input)

    # Network and training specifications
    layers = state.layers  # number hidden layers
    walkbacks = state.walkbacks  # number of walkbacks
    sequence_window_size = state.sequence_window_size  # number of previous hidden states to consider for the regression
    layer_sizes = [N_input] + [state.hidden_size] * layers  # layer sizes, from h0 to hK (h0 is the visible layer)
    learning_rate = theano.shared(cast32(state.learning_rate))  # learning rate
    regression_learning_rate = theano.shared(cast32(state.learning_rate))  # learning rate
    annealing = cast32(state.annealing)  # exponential annealing coefficient
    momentum = theano.shared(cast32(state.momentum))  # momentum term

    # Theano variables and RNG
    X = T.fmatrix('X')  # for use in sampling
    Xs = [T.fmatrix(name="X_t") if i == 0 else T.fmatrix(name="X_{t-" + str(i) + "}") for i in range(
        sequence_window_size + 1)]  # for use in training - need one X variable for each input in the sequence history window, and what the current one should be
    Xs_recon = [T.fvector(name="Xrecon_t") if i == 0 else T.fvector(name="Xrecon_{t-" + str(i) + "}") for i in range(
        sequence_window_size + 1)]  # for use in training - need one X variable for each input in the sequence history window, and what the current one should be
    # sequence_graph_output_index = T.lscalar("i")
    MRG = RNG_MRG.MRG_RandomStreams(1)

    ##############
    # PARAMETERS #
    ##############
    # initialize a list of weights and biases based on layer_sizes for the GSN
    weights_list = [
        get_shared_weights(layer_sizes[layer], layer_sizes[layer + 1], name="W_{0!s}_{1!s}".format(layer, layer + 1))
        for layer in range(layers)]  # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
    bias_list = [get_shared_bias(layer_sizes[layer], name='b_' + str(layer)) for layer in
                 range(layers + 1)]  # initialize each layer to 0's.
    # parameters for the regression - only need them for the odd layers in the network!
    regression_weights_list = [
        [get_shared_regression_weights(state.hidden_size, name="V_{t-" + str(window + 1) + "}_layer" + str(layer)) for
         layer in range(layers + 1) if (layer % 2) != 0] for window in
        range(sequence_window_size)]  # initialize to identity matrix the size of hidden layer.
    regression_bias_list = [get_shared_bias(state.hidden_size, name='vb_' + str(layer)) for layer in range(layers + 1)
                            if (layer % 2) != 0]  # initialize to 0's.
    # need initial biases (tau) as well for when there aren't sequence_window_size hiddens in the history.
    tau_list = [
        [get_shared_bias(state.hidden_size, name='tau_{t-' + str(window + 1) + "}_layer" + str(layer)) for layer in
         range(layers + 1) if (layer % 2) != 0] for window in range(sequence_window_size)]

    ###########################################################
    # load initial parameters of gsn to speed up my debugging #
    ###########################################################
    params_to_load = 'gsn_params.pkl'
    initialized_gsn = False
    if os.path.isfile(params_to_load):
        logger.log("\nLoading existing GSN parameters")
        loaded_params = cPickle.load(open(params_to_load, 'r'))
        [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[:len(weights_list)], weights_list)]
        [p.set_value(lp.get_value(borrow=False)) for lp, p in zip(loaded_params[len(weights_list):], bias_list)]
        initialized_gsn = True

    ########################
    # ACTIVATION FUNCTIONS #
    ########################
    if state.hidden_act == 'sigmoid':
        logger.log('Using sigmoid activation for hiddens')
        hidden_activation = T.nnet.sigmoid
    elif state.hidden_act == 'rectifier':
        logger.log('Using rectifier activation for hiddens')
        hidden_activation = lambda x: T.maximum(cast32(0), x)
    elif state.hidden_act == 'tanh':
        logger.log('Using hyperbolic tangent activation for hiddens')
        hidden_activation = lambda x: T.tanh(x)
    else:
        logger.log("Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid".format(
            state.hidden_act))
        raise AssertionError("Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid".format(
            state.hidden_act))

    if state.visible_act == 'sigmoid':
        logger.log('Using sigmoid activation for visible layer')
        visible_activation = T.nnet.sigmoid
    elif state.visible_act == 'softmax':
        logger.log('Using softmax activation for visible layer')
        visible_activation = T.nnet.softmax
    else:
        logger.log(
            "Did not recognize visible activation {0!s}, please use sigmoid or softmax".format(state.visible_act))
        raise AssertionError(
            "Did not recognize visible activation {0!s}, please use sigmoid or softmax".format(state.visible_act))

    ###############################################
    # COMPUTATIONAL GRAPH HELPER METHODS FOR TGSN #
    ###############################################
    def update_layers(hiddens, p_X_chain, noisy=True):
        logger.log('odd layer updates')
        update_odd_layers(hiddens, noisy)
        logger.log('even layer updates')
        update_even_layers(hiddens, p_X_chain, noisy)
        logger.log('done full update.\n')

    def update_layers_reverse(hiddens, p_X_chain, noisy=True):
        logger.log('even layer updates')
        update_even_layers(hiddens, p_X_chain, noisy)
        logger.log('odd layer updates')
        update_odd_layers(hiddens, noisy)
        logger.log('done full update.\n')

    # Odd layer update function
    # just a loop over the odd layers
    def update_odd_layers(hiddens, noisy):
        for i in range(1, len(hiddens), 2):
            logger.log(['updating layer', i])
            simple_update_layer(hiddens, None, i, add_noise=noisy)

    # Even layer update
    # p_X_chain is given to append the p(X|...) at each full update (one update = odd update + even update)
    def update_even_layers(hiddens, p_X_chain, noisy):
        for i in range(0, len(hiddens), 2):
            logger.log(['updating layer', i])
            simple_update_layer(hiddens, p_X_chain, i, add_noise=noisy)

    # The layer update function
    # hiddens   :   list containing the symbolic theano variables [visible, hidden1, hidden2, ...]
    #               layer_update will modify this list inplace
    # p_X_chain :   list containing the successive p(X|...) at each update
    #               update_layer will append to this list
    # i         :   the current layer being updated
    # add_noise :   pre (and post) activation gaussian noise flag
    def simple_update_layer(hiddens, p_X_chain, i, add_noise=True):
        # Compute the dot product, whatever layer
        # If the visible layer X
        if i == 0:
            logger.log('using ' + str(weights_list[i]) + '.T')
            hiddens[i] = T.dot(hiddens[i + 1], weights_list[i].T) + bias_list[i]
            # If the top layer
        elif i == len(hiddens) - 1:
            logger.log(['using', weights_list[i - 1]])
            hiddens[i] = T.dot(hiddens[i - 1], weights_list[i - 1]) + bias_list[i]
        # Otherwise in-between layers
        else:
            logger.log(["using {0!s} and {1!s}.T".format(weights_list[i - 1], weights_list[i])])
            # next layer        :   hiddens[i+1], assigned weights : W_i
            # previous layer    :   hiddens[i-1], assigned weights : W_(i-1)
            hiddens[i] = T.dot(hiddens[i + 1], weights_list[i].T) + T.dot(hiddens[i - 1], weights_list[i - 1]) + \
                         bias_list[i]

        # Add pre-activation noise if NOT input layer
        if i == 1 and state.noiseless_h1:
            logger.log('>>NO noise in first hidden layer')
            add_noise = False

        # pre activation noise            
        if i != 0 and add_noise:
            logger.log(['Adding pre-activation gaussian noise for layer', i])
            hiddens[i] = add_gaussian_noise(hiddens[i], state.hidden_add_noise_sigma)

        # ACTIVATION!
        if i == 0:
            logger.log('{} activation for visible layer'.format(state.visible_act))
            hiddens[i] = visible_activation(hiddens[i])
        else:
            logger.log(['Hidden units {} activation for layer'.format(state.hidden_act), i])
            hiddens[i] = hidden_activation(hiddens[i])

            # post activation noise
            # why is there post activation noise? Because there is already pre-activation noise, this just doubles the amount of noise between each activation of the hiddens.
        #         if i != 0 and add_noise:
        #             logger.log(['Adding post-activation gaussian noise for layer', i])
        #             hiddens[i]  =   add_gaussian(hiddens[i], state.hidden_add_noise_sigma)

        # build the reconstruction chain if updating the visible layer X
        if i == 0:
            # if input layer -> append p(X|...)
            p_X_chain.append(hiddens[i])

            # sample from p(X|...) - SAMPLING NEEDS TO BE CORRECT FOR INPUT TYPES I.E. FOR BINARY MNIST SAMPLING IS BINOMIAL. real-valued inputs should be gaussian
            if state.input_sampling:
                logger.log('Sampling from input')
                sampled = MRG.binomial(p=hiddens[i], size=hiddens[i].shape, dtype='float32')
            else:
                logger.log('>>NO input sampling')
                sampled = hiddens[i]
            # add noise
            sampled = salt_and_pepper(sampled, state.input_salt_and_pepper)

            # set input layer
            hiddens[i] = sampled

    def perform_regression_step(hiddens, sequence_history):
        logger.log(["Sequence history length:", len(sequence_history)])
        # only need to work over the odd layers of the hiddens
        odd_layers = [i for i in range(len(hiddens)) if (i % 2) != 0]
        # depending on the size of the sequence history, it could be 0, 1, 2, 3, ... sequence_window_size
        for (hidden_index, regression_index) in zip(odd_layers, range(len(odd_layers))):
            terms_used = []
            sequence_terms = []
            for history_index in range(sequence_window_size):
                if history_index < len(sequence_history):
                    # dot product with history term
                    sequence_terms.append(T.dot(sequence_history[history_index][regression_index],
                                                regression_weights_list[history_index][regression_index]))
                    terms_used.append(regression_weights_list[history_index][regression_index])
                else:
                    # otherwise, no history for necessary spot, so use the tau
                    sequence_terms.append(tau_list[history_index][regression_index])
                    terms_used.append(tau_list[history_index][regression_index])

            if len(sequence_terms) > 0:
                sequence_terms.append(regression_bias_list[regression_index])
                terms_used.append(regression_bias_list[regression_index])
                logger.log(["REGRESSION for hidden layer {0!s} using:".format(hidden_index), terms_used])
                hiddens[hidden_index] = numpy.sum(sequence_terms)

    def build_gsn_graph(x, noiseflag):
        p_X_chain = []
        if noiseflag:
            X_init = salt_and_pepper(x, state.input_salt_and_pepper)
        else:
            X_init = x
        # init hiddens with zeros
        hiddens = [X_init]
        for w in weights_list:
            hiddens.append(T.zeros_like(T.dot(hiddens[-1], w)))
        # The layer update scheme
        logger.log(["Building the gsn graph :", walkbacks, "updates"])
        for i in range(walkbacks):
            logger.log("GSN Walkback {!s}/{!s}".format(i + 1, walkbacks))
            update_layers(hiddens, p_X_chain, noisy=noiseflag)

        return p_X_chain

    def build_sequence_graph(xs, noiseflag):
        predicted_X_chains = []
        p_X_chains = []
        sequence_history = []
        # The layer update scheme
        logger.log(["Building the regression graph :", len(Xs), "updates"])
        for x_index in range(len(xs)):
            x = xs[x_index]
            # Predict what the current X should be
            ''' hidden layer init '''
            pred_hiddens = [T.zeros_like(x)]
            for w in weights_list:
                # init with zeros
                pred_hiddens.append(T.zeros_like(T.dot(pred_hiddens[-1], w)))
            logger.log("Performing regression step!")
            perform_regression_step(pred_hiddens, sequence_history)  # do the regression!
            logger.log("\n")

            predicted_X_chain = []
            for i in range(walkbacks):
                logger.log("Prediction Walkback {!s}/{!s}".format(i + 1, walkbacks))
                update_layers_reverse(pred_hiddens, predicted_X_chain,
                                      noisy=False)  # no noise in the prediction because x_prediction can't be recovered from x anyway
            predicted_X_chains.append(predicted_X_chain)

            # Now do the actual GSN step and add it to the sequence history
            # corrupt x if noisy
            if noiseflag:
                X_init = salt_and_pepper(x, state.input_salt_and_pepper)
            else:
                X_init = x
            ''' hidden layer init '''
            hiddens = [T.zeros_like(x)]
            for w in weights_list:
                # init with zeros
                hiddens.append(T.zeros_like(T.dot(hiddens[-1], w)))
            #             # substitute some of the zero layers for what was predicted - need to advance the prediction by 1 layer so it is the evens
            #             update_even_layers(pred_hiddens,[],noisy=False)
            #             for i in [layer for layer in range(len(hiddens)) if (layer%2 == 0)]:
            #                 hiddens[i] = pred_hiddens[i]
            hiddens[0] = X_init

            chain = []
            for i in range(walkbacks):
                logger.log("GSN walkback {!s}/{!s}".format(i + 1, walkbacks))
                update_layers(hiddens, chain, noisy=noiseflag)
            # Append the p_X_chain
            p_X_chains.append(chain)
            # Append the odd layers of the hiddens to the sequence history
            sequence_history.append([hiddens[layer] for layer in range(len(hiddens)) if (layer % 2) != 0])


            # select the prediction and reconstruction from the lists
        #         prediction_chain = T.stacklists(predicted_X_chains)[sequence_graph_output_index]
        #         reconstruction_chain = T.stacklists(p_X_chains)[sequence_graph_output_index]
        return predicted_X_chains, p_X_chains

    ##############################################
    #    Build the training graph for the GSN    #
    ##############################################
    logger.log("\nBuilding GSN graphs")
    p_X_chain_init = build_gsn_graph(X, noiseflag=True)
    predicted_X_chain_gsns, p_X_chains = build_sequence_graph(Xs, noiseflag=True)
    predicted_X_chain_gsn = predicted_X_chain_gsns[-1]
    p_X_chain = p_X_chains[-1]

    ###############################################
    # Build the training graph for the regression #
    ###############################################
    logger.log("\nBuilding regression graph")
    # no noise! noise is only used as regularization for GSN stage
    predicted_X_chains_regression, _ = build_sequence_graph(Xs, noiseflag=False)
    predicted_X_chain = predicted_X_chains_regression[-1]

    ######################
    # COST AND GRADIENTS #
    ######################
    if state.cost_funct == 'binary_crossentropy':
        logger.log('\nUsing binary cross-entropy cost!')
        cost_function = lambda x, y: T.mean(T.nnet.binary_crossentropy(x, y))
    elif state.cost_funct == 'square':
        logger.log("\nUsing square error cost!")
        # cost_function = lambda x,y: T.log(T.mean(T.sqr(x-y)))
        cost_function = lambda x, y: T.log(T.sum(T.pow((x - y), 2)))
    else:
        raise AssertionError(
            "Did not recognize cost function {0!s}, please use binary_crossentropy or square".format(state.cost_funct))

    logger.log('Cost w.r.t p(X|...) at every step in the graph for the TGSN')
    gsn_costs_init = [cost_function(rX, X) for rX in p_X_chain_init]
    show_gsn_cost_init = gsn_costs_init[-1]
    gsn_cost_init = numpy.sum(gsn_costs_init)
    gsn_init_mse = T.mean(T.sqr(p_X_chain_init[-1] - X), axis=0)
    gsn_init_error = T.mean(gsn_init_mse)

    # gsn_costs     = T.mean(T.mean(T.nnet.binary_crossentropy(p_X_chain, T.stacklists(Xs)[sequence_graph_output_index]),2),1)
    gsn_costs = [cost_function(rX, Xs[-1]) for rX in predicted_X_chain_gsn]
    show_gsn_cost = gsn_costs[-1]
    gsn_cost = T.sum(gsn_costs)
    gsn_mse = T.mean(T.sqr(predicted_X_chain_gsn[-1] - Xs[-1]), axis=0)
    gsn_error = T.mean(gsn_mse)

    gsn_params = weights_list + bias_list
    logger.log(["gsn params:", gsn_params])

    # l2 regularization
    # regression_regularization_cost = T.sum([T.sum(recurrent_weights ** 2) for recurrent_weights in regression_weights_list])
    regression_regularization_cost = 0
    regression_costs = [cost_function(rX, Xs[-1]) for rX in predicted_X_chain]
    show_regression_cost = regression_costs[-1]
    regression_cost = T.sum(regression_costs) + state.regularize_weight * regression_regularization_cost
    regression_mse = T.mean(T.sqr(predicted_X_chain[-1] - Xs[-1]), axis=0)
    regression_error = T.mean(regression_mse)

    # only using the odd layers update -> even-indexed parameters in the list because it starts at v1
    # need to flatten the regression list -> couldn't immediately find the python method so here is the implementation
    regression_weights_flattened = []
    for weights in regression_weights_list:
        regression_weights_flattened.extend(weights)
    tau_flattened = []
    for tau in tau_list:
        tau_flattened.extend(tau)

    regression_params = regression_weights_flattened + regression_bias_list  # + tau_flattened

    logger.log(["regression params:", regression_params])

    logger.log("creating functions...")
    t = time.time()

    gradient_init = T.grad(gsn_cost_init, gsn_params)
    gradient_buffer_init = [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in
                            gsn_params]
    m_gradient_init = [momentum * gb + (cast32(1) - momentum) * g for (gb, g) in
                       zip(gradient_buffer_init, gradient_init)]
    param_updates_init = [(param, param - learning_rate * mg) for (param, mg) in zip(gsn_params, m_gradient_init)]
    gradient_buffer_updates_init = zip(gradient_buffer_init, m_gradient_init)
    updates_init = OrderedDict(param_updates_init + gradient_buffer_updates_init)

    gsn_f_learn_init = theano.function(inputs=[X],
                                       updates=updates_init,
                                       outputs=[show_gsn_cost_init, gsn_init_error])

    gsn_f_cost_init = theano.function(inputs=[X],
                                      outputs=[show_gsn_cost_init, gsn_init_error])

    gradient = T.grad(gsn_cost, gsn_params)
    gradient_buffer = [theano.shared(numpy.zeros(param.get_value().shape, dtype='float32')) for param in gsn_params]
    m_gradient = [momentum * gb + (cast32(1) - momentum) * g for (gb, g) in zip(gradient_buffer, gradient)]
    param_updates = [(param, param - learning_rate * mg) for (param, mg) in zip(gsn_params, m_gradient)]
    gradient_buffer_updates = zip(gradient_buffer, m_gradient)

    updates = OrderedDict(param_updates + gradient_buffer_updates)

    gsn_f_cost = theano.function(inputs=Xs,
                                 outputs=[show_gsn_cost, gsn_error])

    gsn_f_learn = theano.function(inputs=Xs,
                                  updates=updates,
                                  outputs=[show_gsn_cost, gsn_error])

    regression_gradient = T.grad(regression_cost, regression_params)
    regression_gradient_buffer = [theano.shared(numpy.zeros(rparam.get_value().shape, dtype='float32')) for rparam in
                                  regression_params]
    regression_m_gradient = [momentum * rgb + (cast32(1) - momentum) * rg for (rgb, rg) in
                             zip(regression_gradient_buffer, regression_gradient)]
    regression_param_updates = [(rparam, rparam - regression_learning_rate * rmg) for (rparam, rmg) in
                                zip(regression_params, regression_m_gradient)]
    regression_gradient_buffer_updates = zip(regression_gradient_buffer, regression_m_gradient)

    regression_updates = OrderedDict(regression_param_updates + regression_gradient_buffer_updates)

    regression_f_cost = theano.function(inputs=Xs,
                                        outputs=[show_regression_cost, regression_error])

    regression_f_learn = theano.function(inputs=Xs,
                                         updates=regression_updates,
                                         outputs=[show_regression_cost, regression_error])

    logger.log("functions done. took " + make_time_units_string(time.time() - t) + ".\n")

    ############################################################################################
    # Denoise some numbers : show number, noisy number, predicted number, reconstructed number #
    ############################################################################################   
    # Recompile the graph without noise for reconstruction function
    # The layer update scheme
    logger.log("Creating graph for noisy reconstruction function at checkpoints during training.")
    predicted_X_chains_R, p_X_chains_R = build_sequence_graph(Xs_recon, noiseflag=False)
    predicted_X_chain_R = predicted_X_chains_R[-1]
    p_X_chain_R = p_X_chains_R[-1]
    f_recon = theano.function(inputs=Xs_recon, outputs=[predicted_X_chain_R[-1], p_X_chain_R[-1]])

    # Now do the same but for the GSN in the initial run
    p_X_chain_R = build_gsn_graph(X, noiseflag=False)
    f_recon_init = theano.function(inputs=[X], outputs=p_X_chain_R[-1])

    ############
    # Sampling #
    ############
    f_noise = theano.function(inputs=[X], outputs=salt_and_pepper(X, state.input_salt_and_pepper))
    # the input to the sampling function
    network_state_input = [X] + [T.fmatrix() for i in range(layers)]

    # "Output" state of the network (noisy)
    # initialized with input, then we apply updates
    # network_state_output    =   network_state_input

    network_state_output = [X] + network_state_input[1:]

    visible_pX_chain = []

    # ONE update
    logger.log("Performing one walkback in network state sampling.")
    update_layers(network_state_output, visible_pX_chain, noisy=True)

    if layers == 1:
        f_sample_simple = theano.function(inputs=[X], outputs=visible_pX_chain[-1])

    # WHY IS THERE A WARNING????
    # because the first odd layers are not used -> directly computed FROM THE EVEN layers
    # unused input = warn
    f_sample2 = theano.function(inputs=network_state_input, outputs=network_state_output + visible_pX_chain,
                                on_unused_input='warn')

    def sample_some_numbers_single_layer():
        x0 = test_X.get_value()[7:8]
        samples = [x0]
        x = f_noise(x0)
        for i in range(399):
            x = f_sample_simple(x)
            samples.append(x)
            x = numpy.random.binomial(n=1, p=x, size=x.shape).astype('float32')
            x = f_noise(x)
        return numpy.vstack(samples)

    def sampling_wrapper(NSI):
        # * is the "splat" operator: It takes a list as input, and expands it into actual positional arguments in the function call.
        out = f_sample2(*NSI)
        NSO = out[:len(network_state_output)]
        vis_pX_chain = out[len(network_state_output):]
        return NSO, vis_pX_chain

    def sample_some_numbers(N=400):
        # The network's initial state
        init_vis = test_X.get_value()[7:8]

        noisy_init_vis = f_noise(init_vis)

        network_state = [
            [noisy_init_vis] + [numpy.zeros((1, len(b.get_value())), dtype='float32') for b in bias_list[1:]]]

        visible_chain = [init_vis]

        noisy_h0_chain = [noisy_init_vis]

        for i in range(N - 1):
            # feed the last state into the network, compute new state, and obtain visible units expectation chain
            net_state_out, vis_pX_chain = sampling_wrapper(network_state[-1])

            # append to the visible chain
            visible_chain += vis_pX_chain

            # append state output to the network state chain
            network_state.append(net_state_out)

            noisy_h0_chain.append(net_state_out[0])

        return numpy.vstack(visible_chain), numpy.vstack(noisy_h0_chain)

    def plot_samples(epoch_number, iteration):
        to_sample = time.time()
        if layers == 1:
            # one layer model
            V = sample_some_numbers_single_layer()
        else:
            V, _ = sample_some_numbers()
        img_samples = PIL.Image.fromarray(tile_raster_images(V, (root_N_input, root_N_input), (20, 20)))

        fname = outdir + 'samples_iteration_' + str(iteration) + '_epoch_' + str(epoch_number) + '.png'
        img_samples.save(fname)
        logger.log('Took ' + str(time.time() - to_sample) + ' to sample 400 numbers')

    #############################
    # Save the model parameters #
    #############################
    def save_params_to_file(name, n, gsn_params, iteration):
        pass
        logger.log('saving parameters...')
        save_path = outdir + name + '_params_iteration_' + str(iteration) + '_epoch_' + str(n) + '.pkl'
        f = open(save_path, 'wb')
        try:
            cPickle.dump(gsn_params, f, protocol=cPickle.HIGHEST_PROTOCOL)
        finally:
            f.close()

    def save_params(params):
        values = [param.get_value(borrow=True) for param in params]
        return values

    def restore_params(params, values):
        for i in range(len(params)):
            params[i].set_value(values[i])

    ################
    # GSN TRAINING #
    ################
    def train_GSN(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y):
        logger.log('----------------TRAINING GSN FOR ITERATION ' + str(iteration) + "--------------\n")

        # TRAINING
        n_epoch = state.n_epoch
        batch_size = state.batch_size
        STOP = False
        counter = 0
        if iteration == 0:
            learning_rate.set_value(cast32(state.learning_rate))  # learning rate
        times = []
        best_cost = float('inf')
        best_params = None
        patience = 0

        logger.log(['learning rate:', learning_rate.get_value()])

        logger.log(['train X size:', str(train_X.shape.eval())])
        logger.log(['valid X size:', str(valid_X.shape.eval())])
        logger.log(['test X size:', str(test_X.shape.eval())])

        if state.vis_init:
            bias_list[0].set_value(logit(numpy.clip(0.9, 0.001, train_X.get_value().mean(axis=0))))

        if state.test_model:
            # If testing, do not train and go directly to generating samples, parzen window estimation, and inpainting
            logger.log('Testing : skip training')
            STOP = True

        while not STOP:
            counter += 1
            t = time.time()
            logger.append([counter, '\t'])

            # shuffle the data
            # data.sequence_mnist_data(train_X, train_Y, valid_X, valid_Y, test_X, test_Y, dataset, rng)

            # train
            train_costs = []
            train_errors = []
            if iteration == 0:
                for i in range(len(train_X.get_value(borrow=True)) / batch_size):
                    x = train_X.get_value(borrow=True)[i * batch_size: (i + 1) * batch_size]
                    cost, error = gsn_f_learn_init(x)
                    train_costs.append([cost])
                    train_errors.append([error])
            else:
                for i in range(len(train_X.get_value(borrow=True)) / batch_size):
                    xs = [train_X.get_value(borrow=True)[
                          (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                          range(len(Xs))]
                    xs, _ = fix_input_size(xs)
                    _ins = xs  # + [sequence_window_size]
                    cost, error = gsn_f_learn(*_ins)
                    train_costs.append(cost)
                    train_errors.append(error)

            train_costs = numpy.mean(train_costs)
            train_errors = numpy.mean(train_errors)
            logger.append(['Train: ', trunc(train_costs), trunc(train_errors), '\t'])
            with open(train_convergence, 'a') as f:
                f.write("{0!s},".format(train_costs))
                f.write("\n")

            # valid
            valid_costs = []
            if iteration == 0:
                for i in range(len(valid_X.get_value(borrow=True)) / batch_size):
                    x = valid_X.get_value(borrow=True)[i * batch_size: (i + 1) * batch_size]
                    cost, _ = gsn_f_cost_init(x)
                    valid_costs.append([cost])
            else:
                for i in range(len(valid_X.get_value(borrow=True)) / batch_size):
                    xs = [valid_X.get_value(borrow=True)[
                          (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                          range(len(Xs))]
                    xs, _ = fix_input_size(xs)
                    _ins = xs  # + [sequence_window_size]
                    costs, _ = gsn_f_cost(*_ins)
                    valid_costs.append(costs)

            valid_costs = numpy.mean(valid_costs)
            logger.append(['Valid: ', trunc(valid_costs), '\t'])
            with open(valid_convergence, 'a') as f:
                f.write("{0!s},".format(valid_costs))
                f.write("\n")

            # test
            test_costs = []
            test_errors = []
            if iteration == 0:
                for i in range(len(test_X.get_value(borrow=True)) / batch_size):
                    x = test_X.get_value(borrow=True)[i * batch_size: (i + 1) * batch_size]
                    cost, error = gsn_f_cost_init(x)
                    test_costs.append([cost])
                    test_errors.append([error])
            else:
                for i in range(len(test_X.get_value(borrow=True)) / batch_size):
                    xs = [test_X.get_value(borrow=True)[
                          (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                          range(len(Xs))]
                    xs, _ = fix_input_size(xs)
                    _ins = xs  # + [sequence_window_size]
                    costs, errors = gsn_f_cost(*_ins)
                    test_costs.append(costs)
                    test_errors.append(errors)

            test_costs = numpy.mean(test_costs)
            test_errors = numpy.mean(test_errors)
            logger.append(['Test: ', trunc(test_costs), trunc(test_errors), '\t'])
            with open(test_convergence, 'a') as f:
                f.write("{0!s},".format(test_costs))
                f.write("\n")

            # check for early stopping
            cost = numpy.sum(valid_costs)
            if cost < best_cost * state.early_stop_threshold:
                patience = 0
                best_cost = cost
                # save the parameters that made it the best
                best_params = save_params(gsn_params)
            else:
                patience += 1

            if counter >= n_epoch or patience >= state.early_stop_length:
                STOP = True
                if best_params is not None:
                    restore_params(gsn_params, best_params)
                save_params_to_file('gsn', counter, gsn_params, iteration)
                logger.log(["next learning rate should be", learning_rate.get_value() * annealing])

            timing = time.time() - t
            times.append(timing)

            logger.append('time: ' + make_time_units_string(timing))

            logger.log('remaining: ' + make_time_units_string((n_epoch - counter) * numpy.mean(times)))

            if (counter % state.save_frequency) == 0 or STOP is True:
                n_examples = 100
                if iteration == 0:
                    random_idx = numpy.array(R.sample(range(len(test_X.get_value())), n_examples))
                    numbers = test_X.get_value()[random_idx]
                    noisy_numbers = f_noise(test_X.get_value()[random_idx])
                    reconstructed = f_recon_init(noisy_numbers)
                    # Concatenate stuff
                    stacked = numpy.vstack([numpy.vstack(
                        [numbers[i * 10: (i + 1) * 10], noisy_numbers[i * 10: (i + 1) * 10],
                         reconstructed[i * 10: (i + 1) * 10]]) for i in range(10)])
                    number_reconstruction = PIL.Image.fromarray(
                        tile_raster_images(stacked, (root_N_input, root_N_input), (10, 30)))
                else:
                    n_examples = n_examples + sequence_window_size
                    # Checking reconstruction
                    # grab 100 numbers in the sequence from the test set
                    nums = test_X.get_value()[range(n_examples)]
                    noisy_nums = f_noise(test_X.get_value()[range(n_examples)])

                    reconstructed_prediction = []
                    reconstructed = []
                    for i in range(n_examples):
                        if i >= sequence_window_size:
                            xs = [noisy_nums[i - x] for x in range(len(Xs))]
                            xs.reverse()
                            _ins = xs  # + [sequence_window_size]
                            _outs = f_recon(*_ins)
                            prediction = _outs[0]
                            reconstruction = _outs[1]
                            reconstructed_prediction.append(prediction)
                            reconstructed.append(reconstruction)
                    nums = nums[sequence_window_size:]
                    noisy_nums = noisy_nums[sequence_window_size:]
                    reconstructed_prediction = numpy.array(reconstructed_prediction)
                    reconstructed = numpy.array(reconstructed)

                    # Concatenate stuff
                    stacked = numpy.vstack([numpy.vstack([nums[i * 10: (i + 1) * 10], noisy_nums[i * 10: (i + 1) * 10],
                                                          reconstructed_prediction[i * 10: (i + 1) * 10],
                                                          reconstructed[i * 10: (i + 1) * 10]]) for i in range(10)])
                    number_reconstruction = PIL.Image.fromarray(
                        tile_raster_images(stacked, (root_N_input, root_N_input), (10, 40)))

                # epoch_number    =   reduce(lambda x,y : x + y, ['_'] * (4-len(str(counter)))) + str(counter)
                number_reconstruction.save(
                    outdir + 'gsn_number_reconstruction_iteration_' + str(iteration) + '_epoch_' + str(
                        counter) + '.png')

                # sample_numbers(counter, 'seven')
                plot_samples(counter, iteration)

                # save gsn_params
                save_params_to_file('gsn', counter, gsn_params, iteration)

            # ANNEAL!
            new_lr = learning_rate.get_value() * annealing
            learning_rate.set_value(new_lr)

        # 10k samples
        logger.log('Generating 10,000 samples')
        samples, _ = sample_some_numbers(N=10000)
        f_samples = outdir + 'samples.npy'
        numpy.save(f_samples, samples)
        logger.log('saved digits')

    #######################
    # REGRESSION TRAINING #
    #######################        
    def train_regression(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y):
        logger.log('-------------TRAINING REGRESSION FOR ITERATION {0!s}-------------'.format(iteration))

        # TRAINING
        n_epoch = state.n_epoch
        batch_size = state.batch_size
        STOP = False
        counter = 0
        best_cost = float('inf')
        best_params = None
        patience = 0
        if iteration == 0:
            regression_learning_rate.set_value(cast32(state.learning_rate))  # learning rate
        times = []

        logger.log(['learning rate:', regression_learning_rate.get_value()])

        logger.log(['train X size:', str(train_X.shape.eval())])
        logger.log(['valid X size:', str(valid_X.shape.eval())])
        logger.log(['test X size:', str(test_X.shape.eval())])

        if state.test_model:
            # If testing, do not train and go directly to generating samples, parzen window estimation, and inpainting
            logger.log('Testing : skip training')
            STOP = True

        while not STOP:
            counter += 1
            t = time.time()
            logger.append([counter, '\t'])

            # shuffle the data
            # data.sequence_mnist_data(train_X, train_Y, valid_X, valid_Y, test_X, test_Y, dataset, rng)

            # train
            train_costs = []
            train_errors = []
            for i in range(len(train_X.get_value(borrow=True)) / batch_size):
                xs = [train_X.get_value(borrow=True)[
                      (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                      range(len(Xs))]
                xs, _ = fix_input_size(xs)
                _ins = xs  # + [sequence_window_size]
                cost, error = regression_f_learn(*_ins)
                # print trunc(cost)
                # print [numpy.asarray(a) for a in f_check(*_ins)]
                train_costs.append(cost)
                train_errors.append(error)

            train_costs = numpy.mean(train_costs)
            train_errors = numpy.mean(train_errors)
            logger.append(['rTrain: ', trunc(train_costs), trunc(train_errors), '\t'])
            with open(regression_train_convergence, 'a') as f:
                f.write("{0!s},".format(train_costs))
                f.write("\n")

            # valid
            valid_costs = []
            for i in range(len(valid_X.get_value(borrow=True)) / batch_size):
                xs = [valid_X.get_value(borrow=True)[
                      (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                      range(len(Xs))]
                xs, _ = fix_input_size(xs)
                _ins = xs  # + [sequence_window_size]
                cost, _ = regression_f_cost(*_ins)
                valid_costs.append(cost)

            valid_costs = numpy.mean(valid_costs)
            logger.append(['rValid: ', trunc(valid_costs), '\t'])
            with open(regression_valid_convergence, 'a') as f:
                f.write("{0!s},".format(valid_costs))
                f.write("\n")

            # test
            test_costs = []
            test_errors = []
            for i in range(len(test_X.get_value(borrow=True)) / batch_size):
                xs = [test_X.get_value(borrow=True)[
                      (i * batch_size) + sequence_idx: ((i + 1) * batch_size) + sequence_idx] for sequence_idx in
                      range(len(Xs))]
                xs, _ = fix_input_size(xs)
                _ins = xs  # + [sequence_window_size]
                cost, error = regression_f_cost(*_ins)
                test_costs.append(cost)
                test_errors.append(error)

            test_costs = numpy.mean(test_costs)
            test_errors = numpy.mean(test_errors)
            logger.append(['rTest: ', trunc(test_costs), trunc(test_errors), '\t'])
            with open(regression_test_convergence, 'a') as f:
                f.write("{0!s},".format(test_costs))
                f.write("\n")

            # check for early stopping
            cost = numpy.sum(valid_costs)
            if cost < best_cost * state.early_stop_threshold:
                patience = 0
                best_cost = cost
                # keep the best params so far
                best_params = save_params(regression_params)
            else:
                patience += 1

            if counter >= n_epoch or patience >= state.early_stop_length:
                STOP = True
                if best_params is not None:
                    restore_params(regression_params, best_params)
                save_params_to_file('regression', counter, regression_params, iteration)
                logger.log(["next learning rate should be", regression_learning_rate.get_value() * annealing])

            timing = time.time() - t
            times.append(timing)

            logger.append('time: ' + make_time_units_string(timing))

            logger.log('remaining: ' + make_time_units_string((n_epoch - counter) * numpy.mean(times)))

            if (counter % state.save_frequency) == 0 or STOP is True:
                n_examples = 100 + sequence_window_size
                # Checking reconstruction
                # grab 100 numbers in the sequence from the test set
                nums = test_X.get_value()[range(n_examples)]
                noisy_nums = f_noise(test_X.get_value()[range(n_examples)])

                reconstructed_prediction = []
                reconstructed = []
                for i in range(n_examples):
                    if i >= sequence_window_size:
                        xs = [noisy_nums[i - x] for x in range(len(Xs))]
                        xs.reverse()
                        _ins = xs  # + [sequence_window_size]
                        _outs = f_recon(*_ins)
                        prediction = _outs[0]
                        reconstruction = _outs[1]
                        reconstructed_prediction.append(prediction)
                        reconstructed.append(reconstruction)
                nums = nums[sequence_window_size:]
                noisy_nums = noisy_nums[sequence_window_size:]
                reconstructed_prediction = numpy.array(reconstructed_prediction)
                reconstructed = numpy.array(reconstructed)

                # Concatenate stuff
                stacked = numpy.vstack([numpy.vstack([nums[i * 10: (i + 1) * 10], noisy_nums[i * 10: (i + 1) * 10],
                                                      reconstructed_prediction[i * 10: (i + 1) * 10],
                                                      reconstructed[i * 10: (i + 1) * 10]]) for i in range(10)])

                number_reconstruction = PIL.Image.fromarray(
                    tile_raster_images(stacked, (root_N_input, root_N_input), (10, 40)))
                # epoch_number    =   reduce(lambda x,y : x + y, ['_'] * (4-len(str(counter)))) + str(counter)
                number_reconstruction.save(
                    outdir + 'regression_number_reconstruction_iteration_' + str(iteration) + '_epoch_' + str(
                        counter) + '.png')

                # save gsn_params
                save_params_to_file('regression', counter, regression_params, iteration)

            # ANNEAL!
            new_r_lr = regression_learning_rate.get_value() * annealing
            regression_learning_rate.set_value(new_r_lr)

    #####################
    # STORY 1 ALGORITHM #
    #####################
    # alternate training the gsn and training the regression
    for iteration in range(state.max_iterations):
        # if iteration is 0 and initialized_gsn is False:
        #     train_regression(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y)
        # else:
        #     train_GSN(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y)
        #     train_regression(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y)
        train_GSN(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y)
        train_regression(iteration, train_X, train_Y, valid_X, valid_Y, test_X, test_Y)
Exemple #7
0
    def __init__(self,
                 train_X=None,
                 train_Y=None,
                 valid_X=None,
                 valid_Y=None,
                 test_X=None,
                 test_Y=None,
                 args=None,
                 logger=None):
        # Output logger
        self.logger = logger
        self.outdir = args.get("output_path", defaults["output_path"])
        if self.outdir[-1] != '/':
            self.outdir = self.outdir + '/'
        # Input data
        self.train_X = train_X
        self.train_Y = train_Y
        self.valid_X = valid_X
        self.valid_Y = valid_Y
        self.test_X = test_X
        self.test_Y = test_Y

        # variables from the dataset that are used for initialization and image reconstruction
        if train_X is None:
            self.N_input = args.get("input_size")
            if args.get("input_size") is None:
                raise AssertionError(
                    "Please either specify input_size in the arguments or provide an example train_X for input dimensionality."
                )
        else:
            self.N_input = train_X.eval().shape[1]
        self.root_N_input = numpy.sqrt(self.N_input)

        self.is_image = args.get('is_image', defaults['is_image'])
        if self.is_image:
            self.image_width = args.get('width', self.root_N_input)
            self.image_height = args.get('height', self.root_N_input)

        #######################################
        # Network and training specifications #
        #######################################
        self.gsn_layers = args.get(
            'gsn_layers', defaults['gsn_layers'])  # number hidden layers
        self.walkbacks = args.get('walkbacks',
                                  defaults['walkbacks'])  # number of walkbacks
        self.learning_rate = theano.shared(
            cast32(args.get('learning_rate',
                            defaults['learning_rate'])))  # learning rate
        self.init_learn_rate = cast32(
            args.get('learning_rate', defaults['learning_rate']))
        self.momentum = theano.shared(
            cast32(args.get('momentum',
                            defaults['momentum'])))  # momentum term
        self.annealing = cast32(args.get(
            'annealing',
            defaults['annealing']))  # exponential annealing coefficient
        self.noise_annealing = cast32(
            args.get('noise_annealing', defaults['noise_annealing'])
        )  # exponential noise annealing coefficient
        self.batch_size = args.get('batch_size', defaults['batch_size'])
        self.gsn_batch_size = args.get('gsn_batch_size',
                                       defaults['gsn_batch_size'])
        self.n_epoch = args.get('n_epoch', defaults['n_epoch'])
        self.early_stop_threshold = args.get('early_stop_threshold',
                                             defaults['early_stop_threshold'])
        self.early_stop_length = args.get('early_stop_length',
                                          defaults['early_stop_length'])
        self.save_frequency = args.get('save_frequency',
                                       defaults['save_frequency'])

        self.noiseless_h1 = args.get('noiseless_h1', defaults["noiseless_h1"])
        self.hidden_add_noise_sigma = theano.shared(
            cast32(
                args.get('hidden_add_noise_sigma',
                         defaults["hidden_add_noise_sigma"])))
        self.input_salt_and_pepper = theano.shared(
            cast32(
                args.get('input_salt_and_pepper',
                         defaults["input_salt_and_pepper"])))
        self.input_sampling = args.get('input_sampling',
                                       defaults["input_sampling"])
        self.vis_init = args.get('vis_init', defaults['vis_init'])
        self.load_params = args.get('load_params', defaults['load_params'])
        self.hessian_free = args.get('hessian_free', defaults['hessian_free'])

        self.layer_sizes = [self.N_input] + [
            args.get('hidden_size', defaults['hidden_size'])
        ] * self.gsn_layers  # layer sizes, from h0 to hK (h0 is the visible layer)
        self.recurrent_hidden_size = args.get(
            'recurrent_hidden_size', defaults['recurrent_hidden_size'])
        self.top_layer_sizes = [self.recurrent_hidden_size] + [
            args.get('hidden_size', defaults['hidden_size'])
        ] * self.gsn_layers  # layer sizes, from h0 to hK (h0 is the visible layer)

        self.f_recon = None
        self.f_noise = None

        # Activation functions!
        # For the GSN:
        if args.get('hidden_activation') is not None:
            log.maybeLog(self.logger,
                         'Using specified activation for GSN hiddens')
            self.hidden_activation = args.get('hidden_activation')
        elif args.get('hidden_act') == 'sigmoid':
            log.maybeLog(self.logger,
                         'Using sigmoid activation for GSN hiddens')
            self.hidden_activation = T.nnet.sigmoid
        elif args.get('hidden_act') == 'rectifier':
            log.maybeLog(self.logger,
                         'Using rectifier activation for GSN hiddens')
            self.hidden_activation = lambda x: T.maximum(cast32(0), x)
        elif args.get('hidden_act') == 'tanh':
            log.maybeLog(
                self.logger,
                'Using hyperbolic tangent activation for GSN hiddens')
            self.hidden_activation = lambda x: T.tanh(x)
        elif args.get('hidden_act') is not None:
            log.maybeLog(
                self.logger,
                "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for GSN hiddens"
                .format(args.get('hidden_act')))
            raise NotImplementedError(
                "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for GSN hiddens"
                .format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger,
                         "Using default activation for GSN hiddens")
            self.hidden_activation = defaults['hidden_activation']
        # For the RNN:
        if args.get('recurrent_hidden_activation') is not None:
            log.maybeLog(self.logger,
                         'Using specified activation for RNN hiddens')
            self.recurrent_hidden_activation = args.get(
                'recurrent_hidden_activation')
        elif args.get('recurrent_hidden_act') == 'sigmoid':
            log.maybeLog(self.logger,
                         'Using sigmoid activation for RNN hiddens')
            self.recurrent_hidden_activation = T.nnet.sigmoid
        elif args.get('recurrent_hidden_act') == 'rectifier':
            log.maybeLog(self.logger,
                         'Using rectifier activation for RNN hiddens')
            self.recurrent_hidden_activation = lambda x: T.maximum(
                cast32(0), x)
        elif args.get('recurrent_hidden_act') == 'tanh':
            log.maybeLog(
                self.logger,
                'Using hyperbolic tangent activation for RNN hiddens')
            self.recurrent_hidden_activation = lambda x: T.tanh(x)
        elif args.get('recurrent_hidden_act') is not None:
            log.maybeLog(
                self.logger,
                "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for RNN hiddens"
                .format(args.get('hidden_act')))
            raise NotImplementedError(
                "Did not recognize hidden activation {0!s}, please use tanh, rectifier, or sigmoid for RNN hiddens"
                .format(args.get('hidden_act')))
        else:
            log.maybeLog(self.logger,
                         "Using default activation for RNN hiddens")
            self.recurrent_hidden_activation = defaults[
                'recurrent_hidden_activation']
        # Visible layer activation
        if args.get('visible_activation') is not None:
            log.maybeLog(self.logger,
                         'Using specified activation for visible layer')
            self.visible_activation = args.get('visible_activation')
        elif args.get('visible_act') == 'sigmoid':
            log.maybeLog(self.logger,
                         'Using sigmoid activation for visible layer')
            self.visible_activation = T.nnet.sigmoid
        elif args.get('visible_act') == 'softmax':
            log.maybeLog(self.logger,
                         'Using softmax activation for visible layer')
            self.visible_activation = T.nnet.softmax
        elif args.get('visible_act') is not None:
            log.maybeLog(
                self.logger,
                "Did not recognize visible activation {0!s}, please use sigmoid or softmax"
                .format(args.get('visible_act')))
            raise NotImplementedError(
                "Did not recognize visible activation {0!s}, please use sigmoid or softmax"
                .format(args.get('visible_act')))
        else:
            log.maybeLog(self.logger,
                         'Using default activation for visible layer')
            self.visible_activation = defaults['visible_activation']

        # Cost function!
        if args.get('cost_function') is not None:
            log.maybeLog(self.logger,
                         '\nUsing specified cost function for GSN training\n')
            self.cost_function = args.get('cost_function')
        elif args.get('cost_funct') == 'binary_crossentropy':
            log.maybeLog(self.logger, '\nUsing binary cross-entropy cost!\n')
            self.cost_function = lambda x, y: T.mean(
                T.nnet.binary_crossentropy(x, y))
        elif args.get('cost_funct') == 'square':
            log.maybeLog(self.logger, "\nUsing square error cost!\n")
            #cost_function = lambda x,y: T.log(T.mean(T.sqr(x-y)))
            self.cost_function = lambda x, y: T.log(T.sum(T.pow((x - y), 2)))
        elif args.get('cost_funct') is not None:
            log.maybeLog(
                self.logger,
                "\nDid not recognize cost function {0!s}, please use binary_crossentropy or square\n"
                .format(args.get('cost_funct')))
            raise NotImplementedError(
                "Did not recognize cost function {0!s}, please use binary_crossentropy or square"
                .format(args.get('cost_funct')))
        else:
            log.maybeLog(self.logger,
                         '\nUsing default cost function for GSN training\n')
            self.cost_function = defaults['cost_function']

        ############################
        # Theano variables and RNG #
        ############################
        self.X = T.fmatrix('X')  #single (batch) for training gsn
        self.Xs = T.fmatrix('Xs')  #sequence for training rnn
        self.MRG = RNG_MRG.MRG_RandomStreams(1)

        ###############
        # Parameters! #
        ###############
        #visible gsn
        self.weights_list = [
            get_shared_weights(self.layer_sizes[i],
                               self.layer_sizes[i + 1],
                               name="W_{0!s}_{1!s}".format(i, i + 1))
            for i in range(self.gsn_layers)
        ]  # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.bias_list = [
            get_shared_bias(self.layer_sizes[i], name='b_' + str(i))
            for i in range(self.gsn_layers + 1)
        ]  # initialize each layer to 0's.

        #recurrent
        self.recurrent_to_gsn_weights_list = [
            get_shared_weights(self.recurrent_hidden_size,
                               self.layer_sizes[layer],
                               name="W_u_h{0!s}".format(layer))
            for layer in range(self.gsn_layers + 1) if layer % 2 != 0
        ]
        self.W_u_u = get_shared_weights(self.recurrent_hidden_size,
                                        self.recurrent_hidden_size,
                                        name="W_u_u")
        self.W_ins_u = get_shared_weights(args.get('hidden_size',
                                                   defaults['hidden_size']),
                                          self.recurrent_hidden_size,
                                          name="W_ins_u")
        self.recurrent_bias = get_shared_bias(self.recurrent_hidden_size,
                                              name='b_u')

        #top layer gsn
        self.top_weights_list = [
            get_shared_weights(self.top_layer_sizes[i],
                               self.top_layer_sizes[i + 1],
                               name="Wtop_{0!s}_{1!s}".format(i, i + 1))
            for i in range(self.gsn_layers)
        ]  # initialize each layer to uniform sample from sqrt(6. / (n_in + n_out))
        self.top_bias_list = [
            get_shared_bias(self.top_layer_sizes[i], name='btop_' + str(i))
            for i in range(self.gsn_layers + 1)
        ]  # initialize each layer to 0's.

        #lists for use with gradients
        self.gsn_params = self.weights_list + self.bias_list
        self.u_params = [self.W_u_u, self.W_ins_u, self.recurrent_bias]
        self.top_params = self.top_weights_list + self.top_bias_list
        self.params = self.gsn_params + self.recurrent_to_gsn_weights_list + self.u_params + self.top_params

        ###################################################
        #          load initial parameters                #
        ###################################################
        if self.load_params:
            params_to_load = 'gsn_params.pkl'
            log.maybeLog(self.logger, "\nLoading existing GSN parameters\n")
            loaded_params = cPickle.load(open(params_to_load, 'r'))
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[:len(self.weights_list)], self.weights_list)
            ]
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[len(self.weights_list):], self.bias_list)
            ]

            params_to_load = 'rnn_params.pkl'
            log.maybeLog(self.logger, "\nLoading existing RNN parameters\n")
            loaded_params = cPickle.load(open(params_to_load, 'r'))
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[:len(self.recurrent_to_gsn_weights_list)],
                    self.recurrent_to_gsn_weights_list)
            ]
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[len(self.recurrent_to_gsn_weights_list
                                      ):len(self.recurrent_to_gsn_weights_list
                                            ) + 1], self.W_u_u)
            ]
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[len(self.recurrent_to_gsn_weights_list) +
                                  1:len(self.recurrent_to_gsn_weights_list) +
                                  2], self.W_ins_u)
            ]
            [
                p.set_value(lp.get_value(borrow=False)) for lp, p in zip(
                    loaded_params[len(self.recurrent_to_gsn_weights_list) +
                                  2:], self.recurrent_bias)
            ]

            params_to_load = 'top_gsn_params.pkl'
            log.maybeLog(self.logger,
                         "\nLoading existing top level GSN parameters\n")
            loaded_params = cPickle.load(open(params_to_load, 'r'))
            [
                p.set_value(lp.get_value(borrow=False))
                for lp, p in zip(loaded_params[:len(self.top_weights_list)],
                                 self.top_weights_list)
            ]
            [
                p.set_value(lp.get_value(borrow=False))
                for lp, p in zip(loaded_params[len(self.top_weights_list):],
                                 self.top_bias_list)
            ]

        self.gsn_args = {
            'weights_list':
            self.weights_list,
            'bias_list':
            self.bias_list,
            'hidden_activation':
            self.hidden_activation,
            'visible_activation':
            self.visible_activation,
            'cost_function':
            self.cost_function,
            'layers':
            self.gsn_layers,
            'walkbacks':
            self.walkbacks,
            'hidden_size':
            args.get('hidden_size', defaults['hidden_size']),
            'learning_rate':
            args.get('learning_rate', defaults['learning_rate']),
            'momentum':
            args.get('momentum', defaults['momentum']),
            'annealing':
            self.annealing,
            'noise_annealing':
            self.noise_annealing,
            'batch_size':
            self.gsn_batch_size,
            'n_epoch':
            self.n_epoch,
            'early_stop_threshold':
            self.early_stop_threshold,
            'early_stop_length':
            self.early_stop_length,
            'save_frequency':
            self.save_frequency,
            'noiseless_h1':
            self.noiseless_h1,
            'hidden_add_noise_sigma':
            args.get('hidden_add_noise_sigma',
                     defaults['hidden_add_noise_sigma']),
            'input_salt_and_pepper':
            args.get('input_salt_and_pepper',
                     defaults['input_salt_and_pepper']),
            'input_sampling':
            self.input_sampling,
            'vis_init':
            self.vis_init,
            'output_path':
            self.outdir + 'gsn/',
            'is_image':
            self.is_image,
            'input_size':
            self.N_input
        }

        self.top_gsn_args = {
            'weights_list':
            self.top_weights_list,
            'bias_list':
            self.top_bias_list,
            'hidden_activation':
            self.hidden_activation,
            'visible_activation':
            self.recurrent_hidden_activation,
            'cost_function':
            self.cost_function,
            'layers':
            self.gsn_layers,
            'walkbacks':
            self.walkbacks,
            'hidden_size':
            args.get('hidden_size', defaults['hidden_size']),
            'learning_rate':
            args.get('learning_rate', defaults['learning_rate']),
            'momentum':
            args.get('momentum', defaults['momentum']),
            'annealing':
            self.annealing,
            'noise_annealing':
            self.noise_annealing,
            'batch_size':
            self.gsn_batch_size,
            'n_epoch':
            self.n_epoch,
            'early_stop_threshold':
            self.early_stop_threshold,
            'early_stop_length':
            self.early_stop_length,
            'save_frequency':
            self.save_frequency,
            'noiseless_h1':
            self.noiseless_h1,
            'hidden_add_noise_sigma':
            args.get('hidden_add_noise_sigma',
                     defaults['hidden_add_noise_sigma']),
            'input_salt_and_pepper':
            args.get('input_salt_and_pepper',
                     defaults['input_salt_and_pepper']),
            'input_sampling':
            self.input_sampling,
            'vis_init':
            self.vis_init,
            'output_path':
            self.outdir + 'top_gsn/',
            'is_image':
            False,
            'input_size':
            self.recurrent_hidden_size
        }

        ############
        # Sampling #
        ############
        # the input to the sampling function
        X_sample = T.fmatrix("X_sampling")
        self.network_state_input = [X_sample] + [
            T.fmatrix("H_sampling_" + str(i + 1))
            for i in range(self.gsn_layers)
        ]

        # "Output" state of the network (noisy)
        # initialized with input, then we apply updates
        self.network_state_output = [X_sample] + self.network_state_input[1:]
        visible_pX_chain = []

        # ONE update
        log.maybeLog(self.logger,
                     "Performing one walkback in network state sampling.")
        generative_stochastic_network.update_layers(
            self.network_state_output, self.weights_list, self.bias_list,
            visible_pX_chain, True, self.noiseless_h1,
            self.hidden_add_noise_sigma, self.input_salt_and_pepper,
            self.input_sampling, self.MRG, self.visible_activation,
            self.hidden_activation, self.logger)

        ##############################################
        #        Build the graphs for the SEN        #
        ##############################################
        # If `x_t` is given, deterministic recurrence to compute the u_t. Otherwise, first generate
        def recurrent_step(x_t, u_tm1, add_noise):
            # Make current guess for hiddens based on U
            for i in range(self.gsn_layers):
                if i % 2 == 0:
                    log.maybeLog(
                        self.logger, "Using {0!s} and {1!s}".format(
                            self.recurrent_to_gsn_weights_list[(i + 1) / 2],
                            self.bias_list[i + 1]))
            h_t = T.concatenate([
                self.hidden_activation(self.bias_list[i + 1] + T.dot(
                    u_tm1, self.recurrent_to_gsn_weights_list[(i + 1) / 2]))
                for i in range(self.gsn_layers) if i % 2 == 0
            ],
                                axis=0)

            # Make a GSN to update U
            _, hs = generative_stochastic_network.build_gsn(
                x_t, self.weights_list, self.bias_list, add_noise,
                self.noiseless_h1, self.hidden_add_noise_sigma,
                self.input_salt_and_pepper, self.input_sampling, self.MRG,
                self.visible_activation, self.hidden_activation,
                self.walkbacks, self.logger)
            htop_t = hs[-1]
            ins_t = htop_t

            ua_t = T.dot(ins_t, self.W_ins_u) + T.dot(
                u_tm1, self.W_u_u) + self.recurrent_bias
            u_t = self.recurrent_hidden_activation(ua_t)
            return [ua_t, u_t, h_t]

        log.maybeLog(self.logger, "\nCreating recurrent step scan.")
        # For training, the deterministic recurrence is used to compute all the
        # {h_t, 1 <= t <= T} given Xs. Conditional GSNs can then be trained
        # in batches using those parameters.
        u0 = T.zeros((self.recurrent_hidden_size,
                      ))  # initial value for the RNN hidden units
        (ua, u, h_t), updates_recurrent = theano.scan(
            fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, True),
            sequences=self.Xs,
            outputs_info=[None, u0, None],
            non_sequences=self.params)

        log.maybeLog(self.logger,
                     "Now for reconstruction sample without noise")
        (_, _, h_t_recon), updates_recurrent_recon = theano.scan(
            fn=lambda x_t, u_tm1, *_: recurrent_step(x_t, u_tm1, False),
            sequences=self.Xs,
            outputs_info=[None, u0, None],
            non_sequences=self.params)
        # put together the hiddens list
        h_list = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer % 2 != 0:
                h_list.append(T.zeros_like(T.dot(h_list[-1], w)))
            else:
                h_list.append(
                    (h_t.T[(layer / 2) * self.hidden_size:(layer / 2 + 1) *
                           self.hidden_size]).T)

        h_list_recon = [T.zeros_like(self.Xs)]
        for layer, w in enumerate(self.weights_list):
            if layer % 2 != 0:
                h_list_recon.append(T.zeros_like(T.dot(h_list_recon[-1], w)))
            else:
                h_list_recon.append(
                    (h_t_recon.T[(layer / 2) *
                                 self.hidden_size:(layer / 2 + 1) *
                                 self.hidden_size]).T)

        #with noise
        _, cost, show_cost = generative_stochastic_network.build_gsn_given_hiddens(
            self.Xs, h_list, self.weights_list, self.bias_list, True,
            self.noiseless_h1, self.hidden_add_noise_sigma,
            self.input_salt_and_pepper, self.input_sampling, self.MRG,
            self.visible_activation, self.hidden_activation, self.walkbacks,
            self.cost_function, self.logger)
        #without noise for reconstruction
        x_sample_recon, _, _ = generative_stochastic_network.build_gsn_given_hiddens(
            self.Xs, h_list_recon, self.weights_list, self.bias_list, False,
            self.noiseless_h1, self.hidden_add_noise_sigma,
            self.input_salt_and_pepper, self.input_sampling, self.MRG,
            self.visible_activation, self.hidden_activation, self.walkbacks,
            self.cost_function, self.logger)

        updates_train = updates_recurrent
        updates_cost = updates_recurrent

        #############
        #   COSTS   #
        #############
        log.maybeLog(self.logger,
                     '\nCost w.r.t p(X|...) at every step in the graph')
        start_functions_time = time.time()

        # if we are not using Hessian-free training create the normal sgd functions
        if not self.hessian_free:
            gradient = T.grad(cost, self.params)
            gradient_buffer = [
                theano.shared(
                    numpy.zeros(param.get_value().shape, dtype='float32'))
                for param in self.params
            ]

            m_gradient = [
                self.momentum * gb + (cast32(1) - self.momentum) * g
                for (gb, g) in zip(gradient_buffer, gradient)
            ]
            param_updates = [(param, param - self.learning_rate * mg)
                             for (param, mg) in zip(self.params, m_gradient)]
            gradient_buffer_updates = zip(gradient_buffer, m_gradient)

            updates = OrderedDict(param_updates + gradient_buffer_updates)
            updates_train.update(updates)

            log.maybeLog(self.logger, "rnn-gsn learn...")
            self.f_learn = theano.function(inputs=[self.Xs],
                                           updates=updates_train,
                                           outputs=show_cost,
                                           on_unused_input='warn',
                                           name='rnngsn_f_learn')

            log.maybeLog(self.logger, "rnn-gsn cost...")
            self.f_cost = theano.function(inputs=[self.Xs],
                                          updates=updates_cost,
                                          outputs=show_cost,
                                          on_unused_input='warn',
                                          name='rnngsn_f_cost')

        log.maybeLog(self.logger, "Training/cost functions done.")

        # Denoise some numbers : show number, noisy number, predicted number, reconstructed number
        log.maybeLog(
            self.logger,
            "Creating graph for noisy reconstruction function at checkpoints during training."
        )
        self.f_recon = theano.function(inputs=[self.Xs],
                                       outputs=x_sample_recon[-1],
                                       updates=updates_recurrent_recon,
                                       name='rnngsn_f_recon')

        # a function to add salt and pepper noise
        self.f_noise = theano.function(inputs=[self.X],
                                       outputs=salt_and_pepper(
                                           self.X, self.input_salt_and_pepper),
                                       name='rnngsn_f_noise')
        # Sampling functions
        log.maybeLog(self.logger, "Creating sampling function...")
        if self.gsn_layers == 1:
            self.f_sample = theano.function(
                inputs=[X_sample],
                outputs=visible_pX_chain[-1],
                name='rnngsn_f_sample_single_layer')
        else:
            # WHY IS THERE A WARNING????
            # because the first odd layers are not used -> directly computed FROM THE EVEN layers
            # unused input = warn
            self.f_sample = theano.function(inputs=self.network_state_input,
                                            outputs=self.network_state_output +
                                            visible_pX_chain,
                                            on_unused_input='warn',
                                            name='rnngsn_f_sample')

        log.maybeLog(self.logger, "Done compiling all functions.")
        compilation_time = time.time() - start_functions_time
        # Show the compile time with appropriate easy-to-read units.
        log.maybeLog(
            self.logger, "Total compilation time took " +
            make_time_units_string(compilation_time) + ".\n\n")