def pack(values, name="pack"): """Packs a list of rank-`R` tensors into one rank-`(R+1)` tensor. Packs tensors in `values` into a tensor with rank one higher than each tensor in `values` and shape `[len(values)] + values[0].shape`. The output satisfies `output[i, ...] = values[i][...]`. This is the opposite of unpack. The numpy equivalent is tf.pack([x, y, z]) = np.asarray([x, y, z]) Args: values: A list of `Tensor` objects with the same shape and type. name: A name for this operation (optional). Returns: output: A packed `Tensor` with the same type as `values`. """ return gen_array_ops._pack(values, name=name)
def attention_decoder(decoder_inputs, initial_state, attention_states, cell, output_size=None, num_heads=1, loop_function=None, dtype=None, scope=None, initial_state_attention=False): """RNN decoder with attention for the sequence-to-sequence model. In this context "attention" means that, during decoding, the RNN can look up information in the additional tensor attention_states, and it does this by focusing on a few entries from the tensor. This model has proven to yield especially good results in a number of sequence-to-sequence tasks. This implementation is based on http://arxiv.org/abs/1412.7449 (see below for details). It is recommended for complex sequence-to-sequence tasks. Args: decoder_inputs: A list of 2D Tensors [batch_size x input_size]. initial_state: 2D Tensor [batch_size x cell.state_size]. attention_states: 3D Tensor [batch_size x attn_length x attn_size]. cell: rnn_cell.RNNCell defining the cell function and size. output_size: Size of the output vectors; if None, we use cell.output_size. num_heads: Number of attention heads that read from attention_states. loop_function: If not None, this function will be applied to i-th output in order to generate i+1-th input, and decoder_inputs will be ignored, except for the first element ("GO" symbol). This can be used for decoding, but also for training to emulate http://arxiv.org/abs/1506.03099. Signature -- loop_function(prev, i) = next * prev is a 2D Tensor of shape [batch_size x output_size], * i is an integer, the step number (when advanced control is needed), * next is a 2D Tensor of shape [batch_size x input_size]. dtype: The dtype to use for the RNN initial state (default: tf.float32). scope: VariableScope for the created subgraph; default: "attention_decoder". initial_state_attention: If False (default), initial attentions are zero. If True, initialize the attentions from the initial state and attention states -- useful when we wish to resume decoding from a previously stored decoder state and attention states. Returns: A tuple of the form (outputs, state), where: outputs: A list of the same length as decoder_inputs of 2D Tensors of shape [batch_size x output_size]. These represent the generated outputs. Output i is computed from input i (which is either the i-th element of decoder_inputs or loop_function(output {i-1}, i)) as follows. First, we run the cell on a combination of the input and previous attention masks: cell_output, new_state = cell(linear(input, prev_attn), prev_state). Then, we calculate new attention masks: new_attn = softmax(V^T * tanh(W * attention_states + U * new_state)) and then we calculate the output: output = linear(cell_output, new_attn). state: The state of each decoder cell the final time-step. It is a 2D Tensor of shape [batch_size x cell.state_size]. Raises: ValueError: when num_heads is not positive, there are no inputs, shapes of attention_states are not set, or input size cannot be inferred from the input. """ if not decoder_inputs: raise ValueError("Must provide at least 1 input to attention decoder.") if num_heads < 1: raise ValueError( "With less than 1 heads, use a non-attention decoder.") if attention_states.get_shape()[2].value is None: raise ValueError("Shape[2] of attention_states must be known: %s" % attention_states.get_shape()) if output_size is None: output_size = cell.output_size with variable_scope.variable_scope(scope or "attention_decoder", dtype=dtype) as scope: dtype = scope.dtype batch_size = array_ops.shape( decoder_inputs[0])[0] # Needed for reshaping. attn_length = attention_states.get_shape()[1].value if attn_length is None: attn_length = shape(attention_states)[1] attn_size = attention_states.get_shape()[2].value # To calculate W1 * h_t we use a 1-by-1 convolution, need to reshape before. hidden = array_ops.reshape(attention_states, [-1, attn_length, 1, attn_size]) hidden_features = [] v = [] attention_vec_size = attn_size # Size of query vectors for attention. for a in xrange(num_heads): k = variable_scope.get_variable( "AttnW_%d" % a, [1, 1, attn_size, attention_vec_size]) hidden_features.append( nn_ops.conv2d(hidden, k, [1, 1, 1, 1], "SAME")) v.append( variable_scope.get_variable("AttnV_%d" % a, [attention_vec_size])) state = initial_state def attention(query): """Put attention masks on hidden using hidden_features and query.""" ds = [] # Results of attention reads will be stored here. if nest.is_sequence(query): # If the query is a tuple, flatten it. query_list = nest.flatten(query) for q in query_list: # Check that ndims == 2 if specified. ndims = q.get_shape().ndims if ndims: assert ndims == 2 query = array_ops.concat(axis=1, values=query_list) for a in xrange(num_heads): with variable_scope.variable_scope("Attention_%d" % a): y = linear(query, attention_vec_size, True) y = array_ops.reshape(y, [-1, 1, 1, attention_vec_size]) # Attention mask is a softmax of v^T * tanh(...). s = math_ops.reduce_sum( v[a] * math_ops.tanh(hidden_features[a] + y), [2, 3]) a = nn_ops.softmax(s) # Now calculate the attention-weighted vector d. d = math_ops.reduce_sum( array_ops.reshape(a, [-1, attn_length, 1, 1]) * hidden, [1, 2]) ds.append(array_ops.reshape(d, [-1, attn_size])) return ds outputs = [] prev = None batch_attn_size = gen_array_ops._pack([batch_size, attn_size]) attns = [ array_ops.zeros(batch_attn_size, dtype=dtype) for _ in xrange(num_heads) ] for a in attns: # Ensure the second shape of attention vectors is set. a.set_shape([None, attn_size]) if initial_state_attention: attns = attention(initial_state) for i, inp in enumerate(decoder_inputs): if i > 0: variable_scope.get_variable_scope().reuse_variables() # If loop_function is set, we use it instead of decoder_inputs. if loop_function is not None and prev is not None: with variable_scope.variable_scope("loop_function", reuse=True): inp = loop_function(prev, i) # Merge input and previous attentions into one vector of the right size. input_size = inp.get_shape().with_rank(2)[1] if input_size.value is None: raise ValueError("Could not infer input size from input: %s" % inp.name) x = linear([inp] + attns, input_size, True) # Run the RNN. cell_output, state = cell(x, state) # Run the attention mechanism. if i == 0 and initial_state_attention: with variable_scope.variable_scope( variable_scope.get_variable_scope(), reuse=True): attns = attention(state) else: attns = attention(state) with variable_scope.variable_scope("AttnOutputProjection"): output = linear([cell_output] + attns, output_size, True) if loop_function is not None: prev = output outputs.append(output) return outputs, state