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# pylint: disable=arguments-differ, too-many-lines
# coding: utf-8
"""Definition of various recurrent neural network cells."""
__all__ = ['Conv1DRNNCell', 'Conv2DRNNCell', 'Conv3DRNNCell',
'Conv1DLSTMCell', 'Conv2DLSTMCell', 'Conv3DLSTMCell',
'Conv1DGRUCell', 'Conv2DGRUCell', 'Conv3DGRUCell']
from math import floor
from ....base import numeric_types
from ...rnn import HybridRecurrentCell
def _get_conv_out_size(dimensions, kernels, paddings, dilations):
return tuple(int(floor(x+2*p-d*(k-1)-1)+1) if x else 0 for x, k, p, d in
zip(dimensions, kernels, paddings, dilations))
class _BaseConvRNNCell(HybridRecurrentCell):
"""Abstract base class for convolutional RNNs"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad, i2h_dilate, h2h_dilate,
i2h_weight_initializer, h2h_weight_initializer,
i2h_bias_initializer, h2h_bias_initializer,
dims,
conv_layout, activation,
prefix=None, params=None):
super(_BaseConvRNNCell, self).__init__(prefix=prefix, params=params)
self._hidden_channels = hidden_channels
self._input_shape = input_shape
self._conv_layout = conv_layout
self._activation = activation
# Convolution setting
assert all(isinstance(spec, int) or len(spec) == dims
for spec in [i2h_kernel, i2h_pad, i2h_dilate,
h2h_kernel, h2h_dilate]), \
"For {dims}D convolution, the convolution settings can only be either int " \
"or list/tuple of length {dims}".format(dims=dims)
self._i2h_kernel = (i2h_kernel,) * dims if isinstance(i2h_kernel, numeric_types) \
else i2h_kernel
self._stride = (1,) * dims
self._i2h_pad = (i2h_pad,) * dims if isinstance(i2h_pad, numeric_types) \
else i2h_pad
self._i2h_dilate = (i2h_dilate,) * dims if isinstance(i2h_dilate, numeric_types) \
else i2h_dilate
self._h2h_kernel = (h2h_kernel,) * dims if isinstance(h2h_kernel, numeric_types) \
else h2h_kernel
assert all(k % 2 == 1 for k in self._h2h_kernel), \
"Only support odd number, get h2h_kernel= %s" % str(h2h_kernel)
self._h2h_dilate = (h2h_dilate,) * dims if isinstance(h2h_dilate, numeric_types) \
else h2h_dilate
self._channel_axis, \
self._in_channels, \
i2h_param_shape, \
h2h_param_shape, \
self._h2h_pad, \
self._state_shape = self._decide_shapes()
self.i2h_weight = self.params.get('i2h_weight', shape=i2h_param_shape,
init=i2h_weight_initializer,
allow_deferred_init=True)
self.h2h_weight = self.params.get('h2h_weight', shape=h2h_param_shape,
init=h2h_weight_initializer,
allow_deferred_init=True)
self.i2h_bias = self.params.get('i2h_bias', shape=(hidden_channels*self._num_gates,),
init=i2h_bias_initializer,
allow_deferred_init=True)
self.h2h_bias = self.params.get('h2h_bias', shape=(hidden_channels*self._num_gates,),
init=h2h_bias_initializer,
allow_deferred_init=True)
def _decide_shapes(self):
channel_axis = self._conv_layout.find('C')
input_shape = self._input_shape
in_channels = input_shape[channel_axis - 1]
hidden_channels = self._hidden_channels
if channel_axis == 1:
dimensions = input_shape[1:]
else:
dimensions = input_shape[:-1]
total_out = hidden_channels * self._num_gates
i2h_param_shape = (total_out,)
h2h_param_shape = (total_out,)
state_shape = (hidden_channels,)
conv_out_size = _get_conv_out_size(dimensions,
self._i2h_kernel,
self._i2h_pad,
self._i2h_dilate)
h2h_pad = tuple(d*(k-1)//2 for d, k in zip(self._h2h_dilate, self._h2h_kernel))
if channel_axis == 1:
i2h_param_shape += (in_channels,) + self._i2h_kernel
h2h_param_shape += (hidden_channels,) + self._h2h_kernel
state_shape += conv_out_size
else:
i2h_param_shape += self._i2h_kernel + (in_channels,)
h2h_param_shape += self._h2h_kernel + (hidden_channels,)
state_shape = conv_out_size + state_shape
return channel_axis, in_channels, i2h_param_shape, \
h2h_param_shape, h2h_pad, state_shape
def __repr__(self):
s = '{name}({mapping}'
if hasattr(self, '_activation'):
s += ', {_activation}'
s += ', {_conv_layout}'
s += ')'
attrs = self.__dict__
shape = self.i2h_weight.shape
in_channels = shape[1 if self._channel_axis == 1 else -1]
mapping = ('{0} -> {1}'.format(in_channels if in_channels else None, shape[0]))
return s.format(name=self.__class__.__name__,
mapping=mapping,
**attrs)
@property
def _num_gates(self):
return len(self._gate_names)
def _conv_forward(self, F, inputs, states,
i2h_weight, h2h_weight, i2h_bias, h2h_bias,
prefix):
i2h = F.Convolution(data=inputs,
num_filter=self._hidden_channels*self._num_gates,
kernel=self._i2h_kernel,
stride=self._stride,
pad=self._i2h_pad,
dilate=self._i2h_dilate,
weight=i2h_weight,
bias=i2h_bias,
layout=self._conv_layout,
name=prefix+'i2h')
h2h = F.Convolution(data=states[0],
num_filter=self._hidden_channels*self._num_gates,
kernel=self._h2h_kernel,
dilate=self._h2h_dilate,
pad=self._h2h_pad,
stride=self._stride,
weight=h2h_weight,
bias=h2h_bias,
layout=self._conv_layout,
name=prefix+'h2h')
return i2h, h2h
def state_info(self, batch_size=0):
raise NotImplementedError("_BaseConvRNNCell is abstract class for convolutional RNN")
def hybrid_forward(self, F, inputs, states):
raise NotImplementedError("_BaseConvRNNCell is abstract class for convolutional RNN")
class _ConvRNNCell(_BaseConvRNNCell):
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel, i2h_pad, i2h_dilate, h2h_dilate,
i2h_weight_initializer, h2h_weight_initializer,
i2h_bias_initializer, h2h_bias_initializer,
dims, conv_layout, activation, prefix, params):
super(_ConvRNNCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
activation=activation,
i2h_kernel=i2h_kernel,
i2h_pad=i2h_pad, i2h_dilate=i2h_dilate,
h2h_kernel=h2h_kernel, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=dims,
conv_layout=conv_layout,
prefix=prefix, params=params)
def state_info(self, batch_size=0):
return [{'shape': (batch_size,)+self._state_shape, '__layout__': self._conv_layout}]
def _alias(self):
return 'conv_rnn'
@property
def _gate_names(self):
return ('',)
def hybrid_forward(self, F, inputs, states, i2h_weight,
h2h_weight, i2h_bias, h2h_bias):
prefix = 't%d_'%self._counter
i2h, h2h = self._conv_forward(F, inputs, states,
i2h_weight, h2h_weight, i2h_bias, h2h_bias,
prefix)
output = self._get_activation(F, i2h + h2h, self._activation,
name=prefix+'out')
return output, [output]
[docs]class Conv1DRNNCell(_ConvRNNCell):
r"""1D Convolutional RNN cell.
.. math::
h_t = tanh(W_i \ast x_t + R_i \ast h_{t-1} + b_i)
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCW' the shape should be (C, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0,)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1,)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1,)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCW'
Layout for all convolution inputs, outputs and weights. Options are 'NCW' and 'NWC'.
activation : str or Block, default 'tanh'
Type of activation function.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_rnn_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0,), i2h_dilate=(1,), h2h_dilate=(1,),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCW', activation='tanh',
prefix=None, params=None):
super(Conv1DRNNCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=1,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv2DRNNCell(_ConvRNNCell):
r"""2D Convolutional RNN cell.
.. math::
h_t = tanh(W_i \ast x_t + R_i \ast h_{t-1} + b_i)
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCHW' the shape should be (C, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCHW' and 'NHWC'.
activation : str or Block, default 'tanh'
Type of activation function.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_rnn_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0), i2h_dilate=(1, 1), h2h_dilate=(1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCHW', activation='tanh',
prefix=None, params=None):
super(Conv2DRNNCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=2,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv3DRNNCell(_ConvRNNCell):
r"""3D Convolutional RNN cells
.. math::
h_t = tanh(W_i \ast x_t + R_i \ast h_{t-1} + b_i)
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCDHW' the shape should be (C, D, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCDHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCDHW' and 'NDHWC'.
activation : str or Block, default 'tanh'
Type of activation function.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_rnn_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0, 0),
i2h_dilate=(1, 1, 1), h2h_dilate=(1, 1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCDHW', activation='tanh',
prefix=None, params=None):
super(Conv3DRNNCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=3,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
class _ConvLSTMCell(_BaseConvRNNCell):
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad, i2h_dilate, h2h_dilate,
i2h_weight_initializer, h2h_weight_initializer,
i2h_bias_initializer, h2h_bias_initializer,
dims, conv_layout, activation, prefix, params):
super(_ConvLSTMCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=dims,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
def state_info(self, batch_size=0):
return [{'shape': (batch_size,)+self._state_shape, '__layout__': self._conv_layout},
{'shape': (batch_size,)+self._state_shape, '__layout__': self._conv_layout}]
def _alias(self):
return 'conv_lstm'
@property
def _gate_names(self):
return ['_i', '_f', '_c', '_o']
def hybrid_forward(self, F, inputs, states, i2h_weight,
h2h_weight, i2h_bias, h2h_bias):
prefix = 't%d_'%self._counter
i2h, h2h = self._conv_forward(F, inputs, states,
i2h_weight, h2h_weight, i2h_bias, h2h_bias,
prefix)
gates = i2h + h2h
slice_gates = F.SliceChannel(gates, num_outputs=4, name=prefix+'slice',
axis=self._channel_axis)
in_gate = F.Activation(slice_gates[0], act_type="sigmoid", name=prefix+'i')
forget_gate = F.Activation(slice_gates[1], act_type="sigmoid", name=prefix+'f')
in_transform = self._get_activation(F, slice_gates[2], self._activation, name=prefix+'c')
out_gate = F.Activation(slice_gates[3], act_type="sigmoid", name=prefix+'o')
next_c = F._internal._plus(forget_gate * states[1], in_gate * in_transform,
name=prefix+'state')
next_h = F._internal._mul(out_gate, self._get_activation(F, next_c, self._activation),
name=prefix+'out')
return next_h, [next_h, next_c]
[docs]class Conv1DLSTMCell(_ConvLSTMCell):
r"""1D Convolutional LSTM network cell.
`"Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcasting"
`_ paper. Xingjian et al. NIPS2015
.. math::
\begin{array}{ll}
i_t = \sigma(W_i \ast x_t + R_i \ast h_{t-1} + b_i) \\
f_t = \sigma(W_f \ast x_t + R_f \ast h_{t-1} + b_f) \\
o_t = \sigma(W_o \ast x_t + R_o \ast h_{t-1} + b_o) \\
c^\prime_t = tanh(W_c \ast x_t + R_c \ast h_{t-1} + b_c) \\
c_t = f_t \circ c_{t-1} + i_t \circ c^\prime_t \\
h_t = o_t \circ tanh(c_t) \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCW' the shape should be (C, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0,)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1,)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1,)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCW'
Layout for all convolution inputs, outputs and weights. Options are 'NCW' and 'NWC'.
activation : str or Block, default 'tanh'
Type of activation function used in c^\prime_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_lstm_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0,),
i2h_dilate=(1,), h2h_dilate=(1,),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCW', activation='tanh',
prefix=None, params=None):
super(Conv1DLSTMCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=1,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv2DLSTMCell(_ConvLSTMCell):
r"""2D Convolutional LSTM network cell.
`"Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcasting"
`_ paper. Xingjian et al. NIPS2015
.. math::
\begin{array}{ll}
i_t = \sigma(W_i \ast x_t + R_i \ast h_{t-1} + b_i) \\
f_t = \sigma(W_f \ast x_t + R_f \ast h_{t-1} + b_f) \\
o_t = \sigma(W_o \ast x_t + R_o \ast h_{t-1} + b_o) \\
c^\prime_t = tanh(W_c \ast x_t + R_c \ast h_{t-1} + b_c) \\
c_t = f_t \circ c_{t-1} + i_t \circ c^\prime_t \\
h_t = o_t \circ tanh(c_t) \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCHW' the shape should be (C, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCHW' and 'NHWC'.
activation : str or Block, default 'tanh'
Type of activation function used in c^\prime_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_lstm_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0),
i2h_dilate=(1, 1), h2h_dilate=(1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCHW', activation='tanh',
prefix=None, params=None):
super(Conv2DLSTMCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=2,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv3DLSTMCell(_ConvLSTMCell):
r"""3D Convolutional LSTM network cell.
`"Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcasting"
`_ paper. Xingjian et al. NIPS2015
.. math::
\begin{array}{ll}
i_t = \sigma(W_i \ast x_t + R_i \ast h_{t-1} + b_i) \\
f_t = \sigma(W_f \ast x_t + R_f \ast h_{t-1} + b_f) \\
o_t = \sigma(W_o \ast x_t + R_o \ast h_{t-1} + b_o) \\
c^\prime_t = tanh(W_c \ast x_t + R_c \ast h_{t-1} + b_c) \\
c_t = f_t \circ c_{t-1} + i_t \circ c^\prime_t \\
h_t = o_t \circ tanh(c_t) \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCDHW' the shape should be (C, D, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCDHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCDHW' and 'NDHWC'.
activation : str or Block, default 'tanh'
Type of activation function used in c^\prime_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_lstm_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0, 0),
i2h_dilate=(1, 1, 1), h2h_dilate=(1, 1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCDHW', activation='tanh',
prefix=None, params=None):
super(Conv3DLSTMCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=3,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
class _ConvGRUCell(_BaseConvRNNCell):
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel, i2h_pad, i2h_dilate, h2h_dilate,
i2h_weight_initializer, h2h_weight_initializer,
i2h_bias_initializer, h2h_bias_initializer,
dims, conv_layout, activation, prefix, params):
super(_ConvGRUCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=dims,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
def state_info(self, batch_size=0):
return [{'shape': (batch_size,)+self._state_shape, '__layout__': self._conv_layout}]
def _alias(self):
return 'conv_gru'
@property
def _gate_names(self):
return ['_r', '_z', '_o']
def hybrid_forward(self, F, inputs, states, i2h_weight,
h2h_weight, i2h_bias, h2h_bias):
prefix = 't%d_'%self._counter
i2h, h2h = self._conv_forward(F, inputs, states,
i2h_weight, h2h_weight, i2h_bias, h2h_bias,
prefix)
i2h_r, i2h_z, i2h = F.SliceChannel(i2h, num_outputs=3,
name=prefix+'i2h_slice',
axis=self._channel_axis)
h2h_r, h2h_z, h2h = F.SliceChannel(h2h, num_outputs=3,
name=prefix+'h2h_slice',
axis=self._channel_axis)
reset_gate = F.Activation(i2h_r + h2h_r, act_type="sigmoid",
name=prefix+'r_act')
update_gate = F.Activation(i2h_z + h2h_z, act_type="sigmoid",
name=prefix+'z_act')
next_h_tmp = self._get_activation(F, i2h + reset_gate * h2h, self._activation,
name=prefix+'h_act')
next_h = F._internal._plus((1. - update_gate) * next_h_tmp, update_gate * states[0],
name=prefix+'out')
return next_h, [next_h]
[docs]class Conv1DGRUCell(_ConvGRUCell):
r"""1D Convolutional Gated Rectified Unit (GRU) network cell.
.. math::
\begin{array}{ll}
r_t = \sigma(W_r \ast x_t + R_r \ast h_{t-1} + b_r) \\
z_t = \sigma(W_z \ast x_t + R_z \ast h_{t-1} + b_z) \\
n_t = tanh(W_i \ast x_t + b_i + r_t \circ (R_n \ast h_{t-1} + b_n)) \\
h^\prime_t = (1 - z_t) \circ n_t + z_t \circ h \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCW' the shape should be (C, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0,)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1,)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1,)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCW'
Layout for all convolution inputs, outputs and weights. Options are 'NCW' and 'NWC'.
activation : str or Block, default 'tanh'
Type of activation function used in n_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_gru_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0,),
i2h_dilate=(1,), h2h_dilate=(1,),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCW', activation='tanh',
prefix=None, params=None):
super(Conv1DGRUCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=1,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv2DGRUCell(_ConvGRUCell):
r"""2D Convolutional Gated Rectified Unit (GRU) network cell.
.. math::
\begin{array}{ll}
r_t = \sigma(W_r \ast x_t + R_r \ast h_{t-1} + b_r) \\
z_t = \sigma(W_z \ast x_t + R_z \ast h_{t-1} + b_z) \\
n_t = tanh(W_i \ast x_t + b_i + r_t \circ (R_n \ast h_{t-1} + b_n)) \\
h^\prime_t = (1 - z_t) \circ n_t + z_t \circ h \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCHW' the shape should be (C, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCHW' and 'NHWC'.
activation : str or Block, default 'tanh'
Type of activation function used in n_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_gru_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0),
i2h_dilate=(1, 1), h2h_dilate=(1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCHW', activation='tanh',
prefix=None, params=None):
super(Conv2DGRUCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=2,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
[docs]class Conv3DGRUCell(_ConvGRUCell):
r"""3D Convolutional Gated Rectified Unit (GRU) network cell.
.. math::
\begin{array}{ll}
r_t = \sigma(W_r \ast x_t + R_r \ast h_{t-1} + b_r) \\
z_t = \sigma(W_z \ast x_t + R_z \ast h_{t-1} + b_z) \\
n_t = tanh(W_i \ast x_t + b_i + r_t \circ (R_n \ast h_{t-1} + b_n)) \\
h^\prime_t = (1 - z_t) \circ n_t + z_t \circ h \\
\end{array}
Parameters
----------
input_shape : tuple of int
Input tensor shape at each time step for each sample, excluding dimension of the batch size
and sequence length. Must be consistent with `conv_layout`.
For example, for layout 'NCDHW' the shape should be (C, D, H, W).
hidden_channels : int
Number of output channels.
i2h_kernel : int or tuple of int
Input convolution kernel sizes.
h2h_kernel : int or tuple of int
Recurrent convolution kernel sizes. Only odd-numbered sizes are supported.
i2h_pad : int or tuple of int, default (0, 0, 0)
Pad for input convolution.
i2h_dilate : int or tuple of int, default (1, 1, 1)
Input convolution dilate.
h2h_dilate : int or tuple of int, default (1, 1, 1)
Recurrent convolution dilate.
i2h_weight_initializer : str or Initializer
Initializer for the input weights matrix, used for the input convolutions.
h2h_weight_initializer : str or Initializer
Initializer for the recurrent weights matrix, used for the input convolutions.
i2h_bias_initializer : str or Initializer, default zeros
Initializer for the input convolution bias vectors.
h2h_bias_initializer : str or Initializer, default zeros
Initializer for the recurrent convolution bias vectors.
conv_layout : str, default 'NCDHW'
Layout for all convolution inputs, outputs and weights. Options are 'NCDHW' and 'NDHWC'.
activation : str or Block, default 'tanh'
Type of activation function used in n_t.
If argument type is string, it's equivalent to nn.Activation(act_type=str). See
:func:`~mxnet.ndarray.Activation` for available choices.
Alternatively, other activation blocks such as nn.LeakyReLU can be used.
prefix : str, default ``'conv_gru_``'
Prefix for name of layers (and name of weight if params is None).
params : RNNParams, default None
Container for weight sharing between cells. Created if None.
"""
def __init__(self, input_shape, hidden_channels,
i2h_kernel, h2h_kernel,
i2h_pad=(0, 0, 0),
i2h_dilate=(1, 1, 1), h2h_dilate=(1, 1, 1),
i2h_weight_initializer=None, h2h_weight_initializer=None,
i2h_bias_initializer='zeros', h2h_bias_initializer='zeros',
conv_layout='NCDHW', activation='tanh',
prefix=None, params=None):
super(Conv3DGRUCell, self).__init__(input_shape=input_shape,
hidden_channels=hidden_channels,
i2h_kernel=i2h_kernel, h2h_kernel=h2h_kernel,
i2h_pad=i2h_pad,
i2h_dilate=i2h_dilate, h2h_dilate=h2h_dilate,
i2h_weight_initializer=i2h_weight_initializer,
h2h_weight_initializer=h2h_weight_initializer,
i2h_bias_initializer=i2h_bias_initializer,
h2h_bias_initializer=h2h_bias_initializer,
dims=3,
conv_layout=conv_layout,
activation=activation,
prefix=prefix, params=params)
