def test_adversarial_example(learning_rate=0.01, L1_reg=0.00,
L2_reg=0.0001, n_epochs=100,
batch_size=128, n_hidden=500, n_hiddenLayers=3,
verbose=False, smaller_set=False):
"""
Wrapper function for experiment of noise injection at input
:type learning_rate: float
:param learning_rate: learning rate used (factor for the stochastic
gradient.
:type L1_reg: float
:param L1_reg: L1-norm's weight when added to the cost (see
regularization).
:type L2_reg: float
:param L2_reg: L2-norm's weight when added to the cost (see
regularization).
:type n_epochs: int
:param n_epochs: maximal number of epochs to run the optimizer.
:type batch_size: int
:param batch_szie: number of examples in minibatch.
:type n_hidden: int or list of ints
:param n_hidden: number of hidden units. If a list, it specifies the
number of units in each hidden layers, and its length should equal to
n_hiddenLayers.
:type n_hiddenLayers: int
:param n_hiddenLayers: number of hidden layers.
:type verbose: boolean
:param verbose: to print out epoch summary or not to.
:type smaller_set: boolean
:param smaller_set: to use the smaller dataset or not to.
"""
rng = np.random.RandomState(23455)
# Load down-sampled dataset in raw format (np.darray, not Theano.shared)
# train_set, valid_set, test_set format: tuple(input, target)
# input is a np.ndarray of 2 dimensions (a matrix), where each row
# corresponds to an example. target is a np.ndarray of 1 dimension
# (vector) that has the same length as the number of rows in the input.
# Load dataset in raw Format, since we need to preprocess it
train_set, valid_set, test_set = load_data(theano_shared=False)
# Convert raw dataset to Theano shared variables.
test_set_x, test_set_y = shared_dataset(test_set)
valid_set_x, valid_set_y = shared_dataset(valid_set)
train_set_x, train_set_y = shared_dataset(train_set)
# compute number of minibatches for training, validation and testing
n_train_batches = train_set_x.get_value(borrow=True).shape[0]
n_valid_batches = valid_set_x.get_value(borrow=True).shape[0]
n_test_batches = test_set_x.get_value(borrow=True).shape[0]
n_train_batches //= batch_size
n_valid_batches //= batch_size
n_test_batches //= batch_size
# allocate symbolic variables for the data
index = T.lscalar() # index to a [mini]batch
adv_error = T.vector() # error of adversarial example
x = T.matrix('x') # the data is presented as rasterized images
y = T.ivector('y') # the labels are presented as 1D vector of
# [int] labels
######################
# BUILD ACTUAL MODEL #
######################
print('... building the model')
# allocate symbolic variables for the data
index = T.lscalar() # index to a [mini]batch
x = T.matrix('x') # the data is presented as rasterized images
y = T.ivector('y') # the labels are presented as 1D vector of
# [int] labels
rng = np.random.RandomState(1234)
classifier = myMLP(
rng=rng,
input=x + adv_error,
n_in=32*32*3,
n_hidden=n_hidden,
n_hiddenLayers=n_hiddenLayers,
n_out=10
)
# the cost we minimize during training is the negative log likelihood of
# the model plus the regularization terms (L1 and L2); cost is expressed
# here symbolically
cost = (
classifier.negative_log_likelihood(y)
+ L1_reg * classifier.L1
+ L2_reg * classifier.L2_sqr
)
# compiling a Theano function that computes the mistakes that are made
# by the model on a minibatch
test_model = theano.function(
inputs=[index, adv_error],
outputs=classifier.errors(y),
givens={
x: test_set_x[index * batch_size:(index + 1) * batch_size],
y: test_set_y[index * batch_size:(index + 1) * batch_size]
}
)
validate_model = theano.function(
inputs=[index, adv_error],
outputs=classifier.errors(y),
givens={
x: valid_set_x[index * batch_size:(index + 1) * batch_size],
y: valid_set_y[index * batch_size:(index + 1) * batch_size]
}
)
# compute the gradient of cost with respect to theta (sotred in params)
# the resulting gradients will be stored in a list gparams
gparams = [T.grad(cost, param) for param in classifier.params]
# compute gradient with respect to input
ginparam = T.grad(cost, classifier.input)
# specify how to update the parameters of the model as a list of
# (variable, update expression) pairs
# given two lists of the same length, A = [a1, a2, a3, a4] and
# B = [b1, b2, b3, b4], zip generates a list C of same size, where each
# element is a pair formed from the two lists :
# C = [(a1, b1), (a2, b2), (a3, b3), (a4, b4)]
updates = [
(param, param - learning_rate * gparam)
for param, gparam in zip(classifier.params, gparams)
]
# compiling a Theano function `train_model` that returns the cost, but
# in the same time updates the parameter of the model based on the rules
# defined in `updates`
train_model = theano.function(
inputs=[index, adv_error],
outputs=cost,
updates=updates,
givens={
x: train_set_x[index * batch_size: (index + 1) * batch_size],
y: train_set_y[index * batch_size: (index + 1) * batch_size]
}
)
# TODO add sign
test_adv_model = theano.function(
inputs=[index, adv_error],
outputs=[ginparam, classifier.p_y_given_x],
givens={
x: test_set_x[index:index+1],
y: test_set_y[index:index+1]
}
)
test_adv_example = theano.function(
inputs=[index, adv_error],
outputs=classifier.p_y_given_x,
givens={
x: test_set_x[index:index+1]
}
)
###############
# TRAIN MODEL #
###############
print('... training')
train_nn(train_model, validate_model, test_model,
n_train_batches, n_valid_batches, n_test_batches,
n_epochs, verbose, np.zeros(shape=train_set_x.get_value()[0].shape,
dtype=np.float32))
adv_grad, p_y_given_x = test_adv_model(0, np.zeros(shape=train_set_x.get_value()[0].shape,
dtype=np.float32))
adv_p_y_given_x = test_adv_example(0, -1e-2*np.sign(adv_grad).flatten())
return p_y_given_x, adv_p_y_given_x
def test_mlp(learning_rate=0.01, L1_reg=0.00, L2_reg=0.0001, n_epochs=100,
batch_size=128, n_hidden=500, n_hiddenLayers=3,
verbose=False, smaller_set=False):
"""
Wrapper function for training and testing MLP
:type learning_rate: float
:param learning_rate: learning rate used (factor for the stochastic
gradient.
:type L1_reg: float
:param L1_reg: L1-norm's weight when added to the cost (see
regularization).
:type L2_reg: float
:param L2_reg: L2-norm's weight when added to the cost (see
regularization).
:type n_epochs: int
:param n_epochs: maximal number of epochs to run the optimizer.
:type batch_size: int
:param batch_szie: number of examples in minibatch.
:type n_hidden: int or list of ints
:param n_hidden: number of hidden units. If a list, it specifies the
number of units in each hidden layers, and its length should equal to
n_hiddenLayers.
:type n_hiddenLayers: int
:param n_hiddenLayers: number of hidden layers.
:type verbose: boolean
:param verbose: to print out epoch summary or not to.
:type smaller_set: boolean
:param smaller_set: to use the smaller dataset or not to.
"""
# load the dataset; download the dataset if it is not present
if smaller_set:
datasets = load_data(ds_rate=5)
else:
datasets = load_data()
train_set_x, train_set_y = datasets[0]
valid_set_x, valid_set_y = datasets[1]
test_set_x, test_set_y = datasets[2]
# compute number of minibatches for training, validation and testing
n_train_batches = train_set_x.get_value(borrow=True).shape[0] // batch_size
n_valid_batches = valid_set_x.get_value(borrow=True).shape[0] // batch_size
n_test_batches = test_set_x.get_value(borrow=True).shape[0] // batch_size
######################
# BUILD ACTUAL MODEL #
######################
print('... building the model')
# allocate symbolic variables for the data
index = T.lscalar() # index to a [mini]batch
x = T.matrix('x') # the data is presented as rasterized images
y = T.ivector('y') # the labels are presented as 1D vector of
# [int] labels
rng = np.random.RandomState(1234)
# TODO: construct a neural network
classifier = myMLP(
rng=rng,
input=x,
n_in=32*32*3,
n_hidden=n_hidden,
n_hiddenLayers=n_hiddenLayers,
n_out=10
)
# the cost we minimize during training is the negative log likelihood of
# the model plus the regularization terms (L1 and L2); cost is expressed
# here symbolically
cost = (
classifier.negative_log_likelihood(y)
+ L1_reg * classifier.L1
+ L2_reg * classifier.L2_sqr
)
# compiling a Theano function that computes the mistakes that are made
# by the model on a minibatch
test_model = theano.function(
inputs=[index],
outputs=classifier.errors(y),
givens={
x: test_set_x[index * batch_size:(index + 1) * batch_size],
y: test_set_y[index * batch_size:(index + 1) * batch_size]
}
)
validate_model = theano.function(
inputs=[index],
outputs=classifier.errors(y),
givens={
x: valid_set_x[index * batch_size:(index + 1) * batch_size],
y: valid_set_y[index * batch_size:(index + 1) * batch_size]
}
)
# compute the gradient of cost with respect to theta (sotred in params)
# the resulting gradients will be stored in a list gparams
gparams = [T.grad(cost, param) for param in classifier.params]
# specify how to update the parameters of the model as a list of
# (variable, update expression) pairs
# given two lists of the same length, A = [a1, a2, a3, a4] and
# B = [b1, b2, b3, b4], zip generates a list C of same size, where each
# element is a pair formed from the two lists :
# C = [(a1, b1), (a2, b2), (a3, b3), (a4, b4)]
updates = [
(param, param - learning_rate * gparam)
for param, gparam in zip(classifier.params, gparams)
]
# compiling a Theano function `train_model` that returns the cost, but
# in the same time updates the parameter of the model based on the rules
# defined in `updates`
train_model = theano.function(
inputs=[index],
outputs=cost,
updates=updates,
givens={
x: train_set_x[index * batch_size: (index + 1) * batch_size],
y: train_set_y[index * batch_size: (index + 1) * batch_size]
}
)
###############
# TRAIN MODEL #
###############
print('... training')
train_nn(train_model, validate_model, test_model,
n_train_batches, n_valid_batches, n_test_batches,
n_epochs, verbose)