encoding.nn¶
Customized NN modules in Encoding Package. For Synchronized CrossGPU Batch Normalization, please visit encoding.nn.BatchNorm2d
.
Encoding¶

class
encoding.nn.
Encoding
(D, K)[source]¶ Encoding Layer: a learnable residual encoder.
Encoding Layer accpets 3D or 4D inputs. It considers an input featuremaps with the shape of \(C\times H\times W\) as a set of Cdimentional input features \(X=\{x_1, ...x_N\}\), where N is total number of features given by \(H\times W\), which learns an inherent codebook \(D=\{d_1,...d_K\}\) and a set of smoothing factor of visual centers \(S=\{s_1,...s_K\}\). Encoding Layer outputs the residuals with softassignment weights \(e_k=\sum_{i=1}^Ne_{ik}\), where
\[e_{ik} = \frac{exp(s_k\r_{ik}\^2)}{\sum_{j=1}^K exp(s_j\r_{ij}\^2)} r_{ik}\]and the residuals are given by \(r_{ik} = x_i  d_k\). The output encoders are \(E=\{e_1,...e_K\}\).
Parameters:  D – dimention of the features or feature channels
 K – number of codeswords
 Shape:
 Input: \(X\in\mathcal{R}^{B\times N\times D}\) or \(\mathcal{R}^{B\times D\times H\times W}\) (where \(B\) is batch, \(N\) is total number of features or \(H\times W\).)
 Output: \(E\in\mathcal{R}^{B\times K\times D}\)
Variables:  codewords (Tensor) – the learnable codewords of shape (\(K\times D\))
 scale (Tensor) – the learnable scale factor of visual centers
 Reference:
Hang Zhang, Kristin Dana, Jianping Shi, Zhongyue Zhang, Xiaogang Wang, Ambrish Tyagi, Amit Agrawal. “Context Encoding for Semantic Segmentation. The IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2018
Hang Zhang, Jia Xue, and Kristin Dana. “Deep TEN: Texture Encoding Network.” The IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2017
Examples
>>> import encoding >>> import torch >>> import torch.nn.functional as F >>> from torch.autograd import Variable >>> B,C,H,W,K = 2,3,4,5,6 >>> X = Variable(torch.cuda.DoubleTensor(B,C,H,W).uniform_(0.5,0.5), requires_grad=True) >>> layer = encoding.Encoding(C,K).double().cuda() >>> E = layer(X)

forward
(X)[source]¶ Defines the computation performed at every call.
Should be overridden by all subclasses.
Note
Although the recipe for forward pass needs to be defined within this function, one should call the
Module
instance afterwards instead of this since the former takes care of running the registered hooks while the latter silently ignores them.
BatchNorm2d¶

class
encoding.nn.
BatchNorm2d
(num_features, eps=1e05, momentum=0.1, affine=True)[source]¶ CrossGPU Synchronized Batch normalization (SyncBN)
Standard BN [1] implementation only normalize the data within each device (GPU). SyncBN normalizes the input within the whole minibatch. We follow the synconece implmentation described in the paper [2] . Please see the design idea in the notes.
Note
We adapt the awesome python API from another PyTorch SyncBN Implementation and provide efficient CUDA backend.
\[y = \frac{x  mean[x]}{ \sqrt{Var[x] + \epsilon}} * gamma + beta\]The mean and standarddeviation are calculated perchannel over the minibatches and gamma and beta are learnable parameter vectors of size C (where C is the input size).
During training, this layer keeps a running estimate of its computed mean and variance. The running sum is kept with a default momentum of 0.1.
During evaluation, this running mean/variance is used for normalization.
Because the BatchNorm is done over the C dimension, computing statistics on (N, H, W) slices, it’s common terminology to call this Spatial BatchNorm
Parameters:  num_features – num_features from an expected input of size batch_size x num_features x height x width
 eps – a value added to the denominator for numerical stability. Default: 1e5
 momentum – the value used for the running_mean and running_var computation. Default: 0.1
 affine – a boolean value that when set to
True
, gives the layer learnable affine parameters. Default:True
 Shape:
 Input: \((N, C, H, W)\)
 Output: \((N, C, H, W)\) (same shape as input)
 Reference:
[1] Ioffe, Sergey, and Christian Szegedy. “Batch normalization: Accelerating deep network training by reducing internal covariate shift.” ICML 2015 [2] Hang Zhang, Kristin Dana, Jianping Shi, Zhongyue Zhang, Xiaogang Wang, Ambrish Tyagi, and Amit Agrawal. “Context Encoding for Semantic Segmentation.” CVPR 2018
Examples
>>> m = BatchNorm2d(100) >>> net = torch.nn.DataParallel(m) >>> encoding.parallel.patch_replication_callback(net) >>> output = net(input)
BatchNorm1d¶

class
encoding.nn.
BatchNorm1d
(num_features, eps=1e05, momentum=0.1, affine=True)[source]¶ Please see the docs in
encoding.nn.BatchNorm2d
BatchNorm3d¶

class
encoding.nn.
BatchNorm3d
(num_features, eps=1e05, momentum=0.1, affine=True)[source]¶ Please see the docs in
encoding.nn.BatchNorm2d
Inspiration¶

class
encoding.nn.
Inspiration
(C, B=1)[source]¶ Inspiration Layer (CoMatch Layer) enables the multistyle transfer in feedforward network, which learns to match the target feature statistics during the training. This module is differentialble and can be inserted in standard feedforward network to be learned directly from the loss function without additional supervision.
\[Y = \phi^{1}[\phi(\mathcal{F}^T)W\mathcal{G}]\]Please see the example of MSGNet training multistyle generative network for realtime transfer.
 Reference:
 Hang Zhang and Kristin Dana. “Multistyle Generative Network for Realtime Transfer.” arXiv preprint arXiv:1703.06953 (2017)

forward
(X)[source]¶ Defines the computation performed at every call.
Should be overridden by all subclasses.
Note
Although the recipe for forward pass needs to be defined within this function, one should call the
Module
instance afterwards instead of this since the former takes care of running the registered hooks while the latter silently ignores them.
UpsampleConv2d¶

class
encoding.nn.
UpsampleConv2d
(in_channels, out_channels, kernel_size, stride=1, padding=0, dilation=1, groups=1, scale_factor=1, bias=True)[source]¶ To avoid the checkerboard artifacts of standard Fractionallystrided Convolution, we adapt an integer stride convolution but producing a \(2\times 2\) outputs for each convolutional window.
 Reference:
 Hang Zhang and Kristin Dana. “Multistyle Generative Network for Realtime Transfer.” arXiv preprint arXiv:1703.06953 (2017)
Parameters:  in_channels (int) – Number of channels in the input image
 out_channels (int) – Number of channels produced by the convolution
 kernel_size (int or tuple) – Size of the convolving kernel
 stride (int or tuple, optional) – Stride of the convolution. Default: 1
 padding (int or tuple, optional) – Zeropadding added to both sides of the input. Default: 0
 output_padding (int or tuple, optional) – Zeropadding added to one side of the output. Default: 0
 groups (int, optional) – Number of blocked connections from input channels to output channels. Default: 1
 bias (bool, optional) – If True, adds a learnable bias to the output. Default: True
 dilation (int or tuple, optional) – Spacing between kernel elements. Default: 1
 scale_factor (int) – scaling factor for upsampling convolution. Default: 1
 Shape:
 Input: \((N, C_{in}, H_{in}, W_{in})\)
 Output: \((N, C_{out}, H_{out}, W_{out})\) where \(H_{out} = scale * (H_{in}  1) * stride[0]  2 * padding[0] + kernel\_size[0] + output\_padding[0]\) \(W_{out} = scale * (W_{in}  1) * stride[1]  2 * padding[1] + kernel\_size[1] + output\_padding[1]\)
Variables:  weight (Tensor) – the learnable weights of the module of shape (in_channels, scale * scale * out_channels, kernel_size[0], kernel_size[1])
 bias (Tensor) – the learnable bias of the module of shape (scale * scale * out_channels)
Examples
>>> # With square kernels and equal stride >>> m = nn.UpsampleCov2d(16, 33, 3, stride=2) >>> # nonsquare kernels and unequal stride and with padding >>> m = nn.UpsampleCov2d(16, 33, (3, 5), stride=(2, 1), padding=(4, 2)) >>> input = autograd.Variable(torch.randn(20, 16, 50, 100)) >>> output = m(input) >>> # exact output size can be also specified as an argument >>> input = autograd.Variable(torch.randn(1, 16, 12, 12)) >>> downsample = nn.Conv2d(16, 16, 3, stride=2, padding=1) >>> upsample = nn.UpsampleCov2d(16, 16, 3, stride=2, padding=1) >>> h = downsample(input) >>> h.size() torch.Size([1, 16, 6, 6]) >>> output = upsample(h, output_size=input.size()) >>> output.size() torch.Size([1, 16, 12, 12])

forward
(input)[source]¶ Defines the computation performed at every call.
Should be overridden by all subclasses.
Note
Although the recipe for forward pass needs to be defined within this function, one should call the
Module
instance afterwards instead of this since the former takes care of running the registered hooks while the latter silently ignores them.
GramMatrix¶

class
encoding.nn.
GramMatrix
[source]¶ Gram Matrix for a 4D convolutional featuremaps as a minibatch
\[\mathcal{G} = \sum_{h=1}^{H_i}\sum_{w=1}^{W_i} \mathcal{F}_{h,w}\mathcal{F}_{h,w}^T\]
forward
(y)[source]¶ Defines the computation performed at every call.
Should be overridden by all subclasses.
Note
Although the recipe for forward pass needs to be defined within this function, one should call the
Module
instance afterwards instead of this since the former takes care of running the registered hooks while the latter silently ignores them.
