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PyTorch: Layers

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* TOC {:toc}

Goal

Layers, layers, everywhere. If you understand PyTorch layers then you understand most of PyTorch. Well, and torch.tensor...

Questions to David Rotermund

Open Book & Website recommendation If you don't know what these layers mean then don't be ashamed and check out these resources: 

Dive into Deep Learning https://d2l.ai/

as well as corresponding Youtube channel from Alex Smola

torch.tensor

Before we can use layers we need to understand torch.tensor a bit more. You can understand them as a np.ndarray with additional properties and options. Most of it is like with numpy arrays. However, the tensor can shelter an additional gradient!

There are official tutorials about tensors:

Let's be very blunt here: If you don't understand the basics of Numpy ndarray then you will be lost. If you know the usual stuff about np.ndarrays then you understand most of torch.tensor too. You only need some extra information, which I will try to provide here. 

The torch.tensor data types (for the CPU) are very similar to the Numpy. e.g. np.float32 -> torch.float32

There and back again (np.ndarray <-> torch.tensor)

Let us convert x_np: np.ndarray into a torch.Tensor:

x_torch: torch.Tensor = torch.tensor(x_np)

And we convert it back into a torch.Tensor:

x_np: np.ndarray = x_torch.detach().numpy()

or if x_torch is on the GPU:

x_np : np.ndarray= x_torch.cpu().detach().numpy()
  • Tensor.detach() : Get rid of the gradient.
  • Tensor.numpy() : "Returns self tensor as a NumPy ndarray. This tensor and the returned ndarray share the same underlying storage. Changes to self tensor will be reflected in the ndarray and vice versa."
  • torch.tensor() : Put stuff in there and get a torch.tensor out of it.
  • Tensor.type() : numpy's .astype()

GPU interactions

torch.tensor.to  : tensors and layers can life on different devices e.g. CPU and GPU. You need to move them where you need then. Typically only objects on the same device can interact. 

device_gpu = torch.device("cuda:0")
device_cpu = torch.device("cpu")

something_on_gpu =  something_on_cpu.to(device_gpu)
something_on_cpu =  something_on_gpu.to(device_cpu)
something_on_cpu =  something_on_gpu.cpu()

Dimensions 

Layers (i.e. basic building blocks)

Obviously there are a lot of available layer. I want to list only the relevant ones for the typical daily use.

Please note the first upper case letter. If the thing you want to use doesn't have a first upper case letter then something is wrong and it is not a layer.

I will skip the following layer types (because you will not care about them):

In the following I will mark the relevant layers.

torch.nn.Conv1d Applies a 1D convolution over an input signal composed of several input planes.
torch.nn.Conv2d Applies a 2D convolution over an input signal composed of several input planes.
torch.nn.Conv3d Applies a 3D convolution over an input signal composed of several input planes.
torch.nn.ConvTranspose1d Applies a 1D transposed convolution operator over an input image composed of several input planes.
torch.nn.ConvTranspose2d Applies a 2D transposed convolution operator over an input image composed of several input planes.
torch.nn.ConvTranspose3d Applies a 3D transposed convolution operator over an input image composed of several input planes.
torch.nn.LazyConv1d A torch.nn.Conv1d module with lazy initialization of the in_channels argument of the Conv1d that is inferred from the input.size(1).
torch.nn.LazyConv2d A torch.nn.Conv2d module with lazy initialization of the in_channels argument of the Conv2d that is inferred from the input.size(1).
torch.nn.LazyConv3d A torch.nn.Conv3d module with lazy initialization of the in_channels argument of the Conv3d that is inferred from the input.size(1).
torch.nn.LazyConvTranspose1d A torch.nn.ConvTranspose1d module with lazy initialization of the in_channels argument of the ConvTranspose1d that is inferred from the input.size(1).
torch.nn.LazyConvTranspose2d A torch.nn.ConvTranspose2d module with lazy initialization of the in_channels argument of the ConvTranspose2d that is inferred from the input.size(1).
torch.nn.LazyConvTranspose3d A torch.nn.ConvTranspose3d module with lazy initialization of the in_channels argument of the ConvTranspose3d that is inferred from the input.size(1).
torch.nn.Unfold Extracts sliding local blocks from a batched input tensor.
torch.nn.Fold Combines an array of sliding local blocks into a large containing tensor.
torch.nn.MaxPool1d Applies a 1D max pooling over an input signal composed of several input planes.
torch.nn.MaxPool2d Applies a 2D max pooling over an input signal composed of several input planes.
torch.nn.MaxPool3d Applies a 3D max pooling over an input signal composed of several input planes.
torch.nn.MaxUnpool1d Computes a partial inverse of MaxPool1d.
torch.nn.MaxUnpool2d Computes a partial inverse of MaxPool2d.
torch.nn.MaxUnpool3d Computes a partial inverse of MaxPool3d.
torch.nn.AvgPool1d Applies a 1D average pooling over an input signal composed of several input planes.
torch.nn.AvgPool2d Applies a 2D average pooling over an input signal composed of several input planes.
torch.nn.AvgPool3d Applies a 3D average pooling over an input signal composed of several input planes.
torch.nn.FractionalMaxPool2d Applies a 2D fractional max pooling over an input signal composed of several input planes.
torch.nn.FractionalMaxPool3d Applies a 3D fractional max pooling over an input signal composed of several input planes.
torch.nn.LPPool1d Applies a 1D power-average pooling over an input signal composed of several input planes.
torch.nn.LPPool2d Applies a 2D power-average pooling over an input signal composed of several input planes.
torch.nn.AdaptiveMaxPool1d Applies a 1D adaptive max pooling over an input signal composed of several input planes.
torch.nn.AdaptiveMaxPool2d Applies a 2D adaptive max pooling over an input signal composed of several input planes.
torch.nn.AdaptiveMaxPool3d Applies a 3D adaptive max pooling over an input signal composed of several input planes.
torch.nn.AdaptiveAvgPool1d Applies a 1D adaptive average pooling over an input signal composed of several input planes.
torch.nn.AdaptiveAvgPool2d Applies a 2D adaptive average pooling over an input signal composed of several input planes.
torch.nn.AdaptiveAvgPool3d Applies a 3D adaptive average pooling over an input signal composed of several input planes.
torch.nn.ReflectionPad1d Pads the input tensor using the reflection of the input boundary.
torch.nn.ReflectionPad2d Pads the input tensor using the reflection of the input boundary.
torch.nn.ReflectionPad3d Pads the input tensor using the reflection of the input boundary.
torch.nn.ReplicationPad1d Pads the input tensor using replication of the input boundary.
torch.nn.ReplicationPad2d Pads the input tensor using replication of the input boundary.
torch.nn.ReplicationPad3d Pads the input tensor using replication of the input boundary.
torch.nn.ZeroPad1d Pads the input tensor boundaries with zero.
torch.nn.ZeroPad2d Pads the input tensor boundaries with zero.
torch.nn.ZeroPad3d Pads the input tensor boundaries with zero.
torch.nn.ConstantPad1d Pads the input tensor boundaries with a constant value.
torch.nn.ConstantPad2d Pads the input tensor boundaries with a constant value.
torch.nn.ConstantPad3d Pads the input tensor boundaries with a constant value.
torch.nn.ELU Applies the Exponential Linear Unit (ELU) function, element-wise, as described in the paper: Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs).
torch.nn.Hardshrink Applies the Hard Shrinkage (Hardshrink) function element-wise.
torch.nn.Hardsigmoid Applies the Hardsigmoid function element-wise.
torch.nn.Hardtanh Applies the HardTanh function element-wise.
torch.nn.Hardswish Applies the Hardswish function, element-wise, as described in the paper: Searching for MobileNetV3.
torch.nn.LeakyReLU Applies the element-wise function:
torch.nn.LogSigmoid Applies the element-wise function:
torch.nn.MultiheadAttention Allows the model to jointly attend to information from different representation subspaces as described in the paper: Attention Is All You Need.
torch.nn.PReLU Applies the element-wise function:
torch.nn.ReLU Applies the rectified linear unit function element-wise:
torch.nn.ReLU6 Applies the element-wise function:
torch.nn.RReLU Applies the randomized leaky rectified liner unit function, element-wise, as described in the paper:
torch.nn.SELU Applied element-wise...
torch.nn.CELU Applies the element-wise function...
torch.nn.GELU Applies the Gaussian Error Linear Units function:
torch.nn.Sigmoid Applies the element-wise function:...
torch.nn.SiLU Applies the Sigmoid Linear Unit (SiLU) function, element-wise.
torch.nn.Mish Applies the Mish function, element-wise.
torch.nn.Softplus Applies the Softplus function
torch.nn.Softshrink Applies the soft shrinkage function elementwise:
torch.nn.Softsign Applies the element-wise function:...
torch.nn.Tanh Applies the Hyperbolic Tangent (Tanh) function element-wise.
torch.nn.Tanhshrink Applies the element-wise function:
torch.nn.Threshold Thresholds each element of the input Tensor.
torch.nn.GLU Applies the gated linear unit function
torch.nn.Softmin Applies the Softmin function to an n-dimensional input Tensor rescaling them so that the elements of the n-dimensional output Tensor lie in the range [0, 1] and sum to 1.
torch.nn.Softmax Applies the Softmax function to an n-dimensional input Tensor rescaling them so that the elements of the n-dimensional output Tensor lie in the range [0,1] and sum to 1.
torch.nn.Softmax2d Applies SoftMax over features to each spatial location.
torch.nn.LogSoftmax Applies the LogSoftmax
torch.nn.AdaptiveLogSoftmaxWithLoss Efficient softmax approximation as described in Efficient softmax approximation for GPUs by Edouard Grave, Armand Joulin, Moustapha Cissé, David Grangier, and Hervé Jégou.
torch.nn.BatchNorm1d Applies Batch Normalization over a 2D or 3D input as described in the paper Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift .
torch.nn.BatchNorm2d Applies Batch Normalization over a 4D input (a mini-batch of 2D inputs with additional channel dimension) as described in the paper Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift .
torch.nn.BatchNorm3d Applies Batch Normalization over a 5D input (a mini-batch of 3D inputs with additional channel dimension) as described in the paper Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift .
torch.nn.LazyBatchNorm1d A torch.nn.BatchNorm1d module with lazy initialization of the num_features argument of the BatchNorm1d that is inferred from the input.size(1).
torch.nn.LazyBatchNorm2d A torch.nn.BatchNorm2d module with lazy initialization of the num_features argument of the BatchNorm2d that is inferred from the input.size(1).
torch.nn.LazyBatchNorm3d A torch.nn.BatchNorm3d module with lazy initialization of the num_features argument of the BatchNorm3d that is inferred from the input.size(1).
torch.nn.GroupNorm Applies Group Normalization over a mini-batch of inputs as described in the paper Group Normalization
torch.nn.SyncBatchNorm Applies Batch Normalization over a N-Dimensional input (a mini-batch of [N-2]D inputs with additional channel dimension) as described in the paper Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift .
torch.nn.InstanceNorm1d Applies Instance Normalization over a 2D (unbatched) or 3D (batched) input as described in the paper Instance Normalization: The Missing Ingredient for Fast Stylization.
torch.nn.InstanceNorm2d Applies Instance Normalization over a 4D input (a mini-batch of 2D inputs with additional channel dimension) as described in the paper Instance Normalization: The Missing Ingredient for Fast Stylization.
torch.nn.InstanceNorm3d Applies Instance Normalization over a 5D input (a mini-batch of 3D inputs with additional channel dimension) as described in the paper Instance Normalization: The Missing Ingredient for Fast Stylization.
torch.nn.LazyInstanceNorm1d A torch.nn.InstanceNorm1d module with lazy initialization of the num_features argument of the InstanceNorm1d that is inferred from the input.size(1).
torch.nn.LazyInstanceNorm2d A torch.nn.InstanceNorm2d module with lazy initialization of the num_features argument of the InstanceNorm2d that is inferred from the input.size(1).
torch.nn.LazyInstanceNorm3d A torch.nn.InstanceNorm3d module with lazy initialization of the num_features argument of the InstanceNorm3d that is inferred from the input.size(1).
torch.nn.LayerNorm Applies Layer Normalization over a mini-batch of inputs as described in the paper Layer Normalization
torch.nn.LocalResponseNorm Applies local response normalization over an input signal composed of several input planes, where channels occupy the second dimension.

RNN, GRU, LSTM and such lives here. If you don't know what this means then you don't need them...

torch.nn.RNNBase Base class for RNN modules (RNN, LSTM, GRU).
torch.nn.RNN Applies a multi-layer Elman
torch.nn.LSTM Applies a multi-layer long short-term memory (LSTM) RNN to an input sequence.
torch.nn.GRU Applies a multi-layer gated recurrent unit (GRU) RNN to an input sequence.
torch.nn.RNNCell An Elman RNN cell with tanh or ReLU non-linearity.
torch.nn.LSTMCell A long short-term memory (LSTM) cell.
torch.nn.GRUCell A gated recurrent unit (GRU) cell
torch.nn.Transformer A transformer model.
torch.nn.TransformerEncoder TransformerEncoder is a stack of N encoder layers.
torch.nn.TransformerDecoder TransformerDecoder is a stack of N decoder layers
torch.nn.TransformerEncoderLayer TransformerEncoderLayer is made up of self-attn and feedforward network.
torch.nn.TransformerDecoderLayer TransformerDecoderLayer is made up of self-attn, multi-head-attn and feedforward network.
torch.nn.Identity A placeholder identity operator that is argument-insensitive
torch.nn.Linear Applies a linear transformation to the incoming data
torch.nn.Bilinear Applies a bilinear transformation to the incoming data
torch.nn.LazyLinear A torch.nn.Linear module where in_features is inferred.
torch.nn.Dropout During training, randomly zeroes some of the elements of the input tensor with probability p using samples from a Bernoulli distribution.
torch.nn.Dropout1d Randomly zero out entire channels (a channel is a 1D feature map).
torch.nn.Dropout2d Randomly zero out entire channels (a channel is a 2D feature map).
torch.nn.Dropout3d Randomly zero out entire channels (a channel is a 3D feature map)
torch.nn.AlphaDropout Applies Alpha Dropout over the input.
torch.nn.FeatureAlphaDropout Randomly masks out entire channels (a channel is a feature map)
torch.nn.Embedding A simple lookup table that stores embeddings of a fixed dictionary and size.
torch.nn.EmbeddingBag Computes sums or means of 'bags' of embeddings, without instantiating the intermediate embeddings.
torch.nn.CosineSimilarity Returns cosine similarity
torch.nn.PairwiseDistance Computes the pairwise distance between input vectors, or between columns of input matrices.

There is a huge amount of loss function and I will only list a few selected ones. However, in 90% of the cases you will only use

torch.nn.L1Loss Creates a criterion that measures the mean absolute error (MAE) between each element in the input
torch.nn.MSELoss Creates a criterion that measures the mean squared error (squared L2 norm) between each element in the input
torch.nn.CrossEntropyLoss This criterion computes the cross entropy loss between input logits and target.
torch.nn.CTCLoss The Connectionist Temporal Classification loss.
torch.nn.NLLLoss The negative log likelihood loss.
torch.nn.PoissonNLLLoss Negative log likelihood loss with Poisson distribution of target.
torch.nn.GaussianNLLLoss Gaussian negative log likelihood loss.
torch.nn.KLDivLoss The Kullback-Leibler divergence loss.
torch.nn.BCELoss Creates a criterion that measures the Binary Cross Entropy between the target and the input probabilities:
torch.nn.BCEWithLogitsLoss This loss combines a Sigmoid layer and the BCELoss in one single class.
torch.nn.MarginRankingLoss Creates a criterion that measures the loss
torch.nn.HingeEmbeddingLoss Measures the loss given an input tensor
torch.nn.MultiLabelMarginLoss Creates a criterion that optimizes a multi-class multi-classification hinge loss (margin-based loss)
torch.nn.HuberLoss Creates a criterion that uses a squared term if the absolute element-wise error falls below delta and a delta-scaled L1 term otherwise.
torch.nn.SmoothL1Loss Creates a criterion that uses a squared term if the absolute element-wise error falls below beta and an L1 term otherwise.
torch.nn.SoftMarginLoss Creates a criterion that optimizes a two-class classification logistic loss
torch.nn.MultiLabelSoftMarginLoss Creates a criterion that optimizes a multi-label one-versus-all loss based on max-entropy
torch.nn.CosineEmbeddingLoss Creates a criterion that measures the loss given input tensors and a Tensor label
torch.nn.MultiMarginLoss Creates a criterion that optimizes a multi-class classification hinge loss (margin-based loss)
torch.nn.TripletMarginLoss Creates a criterion that measures the triplet loss given an input tensors
torch.nn.TripletMarginWithDistanceLoss Creates a criterion that measures the triplet loss given input tensors

In this category you will find a lot of utility functions... A lot!

torch.nn.Flatten Flattens a contiguous range of dims into a tensor.
torch.nn.Unflatten Unflattens a tensor dim expanding it to a desired shape.

The probability that you need it is low but I listed it here because we are working on it. And if I need to find the link...