lasagne.layers.corrmm

class lasagne.layers.corrmm.Conv2DMMLayer(incoming, num_filters, filter_size, stride=(1, 1), pad=0, untie_biases=False, W=lasagne.init.GlorotUniform(), b=lasagne.init.Constant(0.), nonlinearity=lasagne.nonlinearities.rectify, flip_filters=False, **kwargs)

2D convolutional layer

Performs a 2D convolution on its input and optionally adds a bias and applies an elementwise nonlinearity. This is an alternative implementation which uses theano.sandbox.cuda.blas.GpuCorrMM directly.

Parameters:

incoming : a Layer instance or a tuple

The layer feeding into this layer, or the expected input shape. The output of this layer should be a 4D tensor, with shape (batch_size, num_input_channels, input_rows, input_columns).

num_filters : int

The number of learnable convolutional filters this layer has.

filter_size : int or iterable of int

An integer or a 2-element tuple specifying the size of the filters.

stride : int or iterable of int

An integer or a 2-element tuple specifying the stride of the convolution operation.

pad : int, iterable of int, ‘full’, ‘same’ or ‘valid’ (default: 0)

By default, the convolution is only computed where the input and the filter fully overlap (a valid convolution). When stride=1, this yields an output that is smaller than the input by filter_size - 1. The pad argument allows you to implicitly pad the input with zeros, extending the output size.

A single integer results in symmetric zero-padding of the given size on all borders, a tuple of two integers allows different symmetric padding per dimension.

'full' pads with one less than the filter size on both sides. This is equivalent to computing the convolution wherever the input and the filter overlap by at least one position.

'same' pads with half the filter size on both sides (one less on the second side for an even filter size). When stride=1, this results in an output size equal to the input size.

'valid' is an alias for 0 (no padding / a valid convolution).

Note that 'full' and 'same' can be faster than equivalent integer values due to optimizations by Theano.

untie_biases : bool (default: False)

If False, the layer will have a bias parameter for each channel, which is shared across all positions in this channel. As a result, the b attribute will be a vector (1D).

If True, the layer will have separate bias parameters for each position in each channel. As a result, the b attribute will be a 3D tensor.

W : Theano shared variable, numpy array or callable

An initializer for the weights of the layer. This should initialize the layer weights to a 4D array with shape (num_filters, num_input_channels, filter_rows, filter_columns). See lasagne.utils.create_param() for more information.

b : Theano shared variable, numpy array, callable or None

An initializer for the biases of the layer. If None is provided, the layer will have no biases. This should initialize the layer biases to a 1D array with shape (num_filters,) if untied_biases is set to False. If it is set to True, its shape should be (num_filters, input_rows, input_columns) instead. See lasagne.utils.create_param() for more information.

nonlinearity : callable or None

The nonlinearity that is applied to the layer activations. If None is provided, the layer will be linear.

flip_filters : bool (default: False)

Whether to flip the filters and perform a convolution, or not to flip them and perform a correlation. Flipping adds a bit of overhead, so it is disabled by default. In most cases this does not make a difference anyway because the filters are learnt. However, flip_filters should be set to True if weights are loaded into it that were learnt using a regular lasagne.layers.Conv2DLayer, for example.

**kwargs

Any additional keyword arguments are passed to the Layer superclass.

Notes

Unlike lasagne.layers.Conv2DLayer, this layer properly supports pad='same'. It is not emulated. This should result in better performance.

Attributes

W	(Theano shared variable) Variable representing the filter weights.
b	(Theano shared variable) Variable representing the biases.