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DL4S

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Supports Linux, macOS, iOS, tvOS and watchOS Build Status

DL4S provides a high-level API for many accelerated operations common in neural networks and deep learning. It furthermore has automatic differentiation builtin, which allows you to create and train neural networks without needing to manually implement backpropagation - without needing a special Swift toolchain.

Features include implementations for many basic binary and unary operators, broadcasting, matrix operations, convolutional and recurrent neural networks, commonly used optimizers, second derivatives and much more. DL4S provides implementations for common network architectures, such as VGG, AlexNet, ResNet and Transformers.

While its primary purpose is deep learning and optimization, DL4S can be used as a library for vectorized mathematical operations like numpy.

Read the full documentation

Overview

  1. Installation
  2. Features
    1. Layers
    2. Optimizers
    3. Losses
    4. Tensor Operations
    5. Engines
    6. Architectures
  3. Examples

Installation

iOS / tvOS / macOS

  1. In Xcode, select "File" > "Swift Packages" > "Add Package Dependency"
  2. Enter https://github.com/palle-k/DL4S.git into the Package URL field and click "Next".
  3. Select "Branch", "master" and click "Next".
  4. Enable the Package Product DL4S, your app in the "Add to Target" column and click "Next".

Note: Installation via CocoaPods is no longer supported for newer versions.

Swift Package

Add the dependency to your Package.swift file:

.package(url: "https://github.com/palle-k/DL4S.git", .branch("master"))

Then add DL4S as a dependency to your target:

.target(name: "MyPackage", dependencies: ["DL4S"])

MKL / IPP / OpenMP Support

On Apple devices, DL4S uses the vectorized functions of the builtin Accelerate framework by default.

On x86_64 Linux (Intel / AMD), DL4S can use the Intel oneAPI Math Kernel Library (MKL) and Integrated Performance Primitives (IPP) through the MKL package trait (off by default).

If no acceleration library is available, a slower generic fallback is used.

To use MKL in a package that depends on DL4S, enable the trait in the dependency declaration:

.package(url: "https://github.com/palle-k/DL4S.git", branch: "master", traits: ["MKL"])

Make sure that oneAPI MKL and IPP are installed from the Intel apt repository following the (installation guide).

Then export PKG_CONFIG_PATH and CPATH so that the build process discovers MKL and IPP:

# Sets PKG_CONFIG_PATH
source /opt/intel/oneapi/setvars.sh
export CPATH=${IPPROOT}/include${CPATH:+:${CPATH}}

swift build -c release --traits MKL
swift test --traits MKL

TensorBoard Support

DL4S-Tensorboard provides a summary writer that can write tensorboard compatible logs.

LLDB Extension

DL4S includes a LLDB python script that provides custom descriptions for Tensors (util/debugger_support/tensor.py).

To use enhanced summaries, execute command script import /path/to/DL4S/util/debugger_support/tensor.py either directly in LLDB or add the command to your ~/.lldbinit file.

Then you can use the print or frame variable commands to print human-readable descriptions of tensors.

Features

Layers

Core:

  • Convolution
  • Transposed Convolution
  • Dense/Linear/Fully Connected
  • LSTM
  • Gated Recurrent Unit (GRU)
  • Vanilla RNN
  • Embedding
  • Multi-head Attention
  • Transformer Block

Pooling:

  • Max Pooling
  • Average Pooling
  • Adaptive Max Pooling
  • Adaptive Average Pooling

Norm:

  • Batch Norm
  • Layer Norm

Utility:

  • Bidirectional RNNs
  • Sequential
  • Lambda
  • Dropout
  • Lambda

Activation:

  • Relu
  • LeakyRelu
  • Gelu
  • Tanh
  • Sigmoid
  • Softmax
  • Log Softmax
  • Dropout
  • Gelu
  • Swish
  • Mish
  • LiSHT

Transformer:

  • Positional Encoding
  • Scaled Dot Product Attention
  • Multihead Attention
  • Pointwise Feed Forward
  • Transformer Encoder Block
  • Transformer Decoder Block

Optimizers

  • SGD
  • Momentum
  • Adam
  • AMSGrad
  • AdaGrad
  • AdaDelta
  • RMSProp

Losses

  • Binary Cross-Entropy
  • Categorical Cross-Entropy
  • Negative Log Likelihood (NLL Loss)
  • MSE
  • L1 & L2 regularization

Tensor Operations

Behavior of broadcast operations is consistent with numpy rules.

  • broadcast-add
  • broadcast-sub
  • broadcast-mul
  • broadcast-div
  • matmul
  • neg
  • exp
  • pow
  • log
  • sqrt
  • sin
  • cos
  • tan
  • tanh
  • sum
  • max
  • relu
  • leaky relu
  • gelu
  • elu
  • elementwise min
  • elementwise max
  • reduce sum
  • reduce max
  • scatter
  • gather
  • conv2d
  • transposed conv2d
  • max pool
  • avg pool
  • subscript
  • subscript range
  • transpose
  • axis permute
  • reverse
  • im2col
  • col2im
  • stack / concat
  • swish activation
  • mish activation
  • lisht activation
  • diagonal matrix generation
  • diagonal extraction
  • band matrix generation

Engines

  • CPU (Accelerate framework for Apple Devices)
  • CPU (Intel Math Kernel Library and Integrated Performance Primitives)
  • CPU (Generic)
  • GPU (ArrayFire: OpenCL, CUDA)

For an experimental, early stage GPU accelerated version, check out feature/arrayfire.

Architectures

Default implementations are provided for the following architectures:

  • ResNet18
  • VGG (11, 13, 16, 19)
  • AlexNet
  • Transformer

Examples

Some high level examples have been implemented in other repositories:

Arithmetic & Differentiation

DL4S provides a high-level interface to many vectorized operations on tensors.

let a = Tensor<Float, CPU>([[1,2],[3,4],[5,6]], requiresGradient: true)
let prod = a.transposed().matrixMultipled(with: a)
let s = prod.reduceSum()
let l = log(s)
print(l) // 5.1873856

When a tensor is marked to require a gradient, a compute graph will be captured. The graph stores all operations, which use that tensor directly or indirectly as an operand.

It is then possible to backpropagate through that graph using the gradients(of:) function:

// Backpropagate
let dl_da = l.gradients(of: [a])[0]

print(dl_da)
/*
[[0.034, 0.034]
 [0.078, 0.078]
 [0.123, 0.123]]
*/

Second derivatives

The operations used during backpropagation are themselves differentiable. Therefore, second derivatives can be computed by computing the gradient of the gradient.

When higher order derivatives are required, the compute graph of the backwards pass has to be explicitly retained.

let t = Tensor<Float, CPU>([1,2,3,4], requiresGradient: true)

let result = t * t * t
print(result) // [1, 8, 27, 64]

let grad = result.gradients(of: [t], retainBackwardsGraph: true)[0]
print(grad) // [3, 12, 27, 48]

let secondGrad = grad.gradients(of: [t], retainBackwardsGraph: true)[0]
print(secondGrad) // [6, 12, 18, 24]

let thirdGrad = secondGrad.gradients(of: [t])[0]
print(thirdGrad) // [6, 6, 6, 6]

Convolutional Networks

Example for MNIST classification

// Input must be batchSizex1x28x28
var model = Sequential {
   Convolution2D<Float, CPU>(inputChannels: 1, outputChannels: 6, kernelSize: (5, 5))
   Relu<Float, CPU>()
   MaxPool2D<Float, CPU>(windowSize: 2, stride: 2)
   
   Convolution2D<Float, CPU>(inputChannels: 6, outputChannels: 16, kernelSize: (5, 5))
   Relu<Float, CPU>()
   MaxPool2D<Float, CPU>(windowSize: 2, stride: 2)
   
   Flatten<Float, CPU>()
   
   Dense<Float, CPU>(inputSize: 256, outputSize: 120)
   Relu<Float, CPU>()
   
   Dense<Float, CPU>(inputSize: 120, outputSize: 10)
   LogSoftmax<Float, CPU>()
}

var optimizer = Adam<Float, CPU>(learningRate: 0.001)

// Single iteration of minibatch gradient descent
let batch: Tensor<Float, CPU> = ... // shape: [batchSize, 1, 28, 28]
let y_true: Tensor<Int32, CPU> = ... // shape: [batchSize]

let pred = model(batch)
let loss = categoricalNegativeLogLikelihood(expected: y_true, actual: pred)

model.update { parameters in
    optimizer.update(&parameters, along: loss.gradients(of: parameters))
}

Recurrent Networks

Example for MNIST classification

The Gated Reccurent Unit scans the image from top to bottom and uses the final hidden state for classification.

var model = Sequential {
    GRU<Float, CPU>(inputSize: 28, hiddenSize: 128, direction: .forward)
    Lambda<GRU<Float, CPU>.Outputs, Tensor<Float, CPU>, Float, CPU> { inputs in
        inputs.0
    }
    Dense<Float, CPU>(inputSize: 128, outputSize: 10)
    LogSoftmax<Float, CPU>()
}

var optimizer = Adam<Float, CPU>(learningRate: 0.001)

let batch: Tensor<Float, CPU> = ... // shape: [batchSize, 28, 28]
let y_true: Tensor<Int32, CPU> = ... // shape: [batchSize]

let x = batch.permuted(to: 1, 0, 2) // Swap first and second axis
let pred = model(x)
let loss = categoricalNegativeLogLikelihood(expected: y_true, actual: pred)

model.update { parameters in
    optimizer.update(&parameters, along: loss.gradients(of: parameters))
}

Custom Layers

Layers and entire models are declared with the @Layer macro. This auto-synthesizes any necessary utilities for model updates. Parameters that are not updated must be declared as let or @Frozen.

@Layer
struct Classifier {
    typealias Element = Float
    typealias Device = CPU

    @Frozen var backbone: ResNet18<Float, CPU>
    var head: Dense<Float, CPU>

    func callAsFunction(_ inputs: Tensor<Float, CPU>) -> Tensor<Float, CPU> {
        head(backbone(inputs))
    }
}

var model = Classifier(backbone: pretrained, head: Dense(inputSize: 512, outputSize: 10))
print(model.weightPaths) // ["head.weights", "head.bias"]

model.head.freeze()      // stops the training of the head
model.head.unfreeze()    // makes it trainable again

To get fine-grained control over the behavior of a layer, conformance to the LayerType protocol may be written by hand.

Model Loading and Saving

DL4S uses the safetensors format.

try SafetensorsEncoder().encode(model, to: URL(filePath: "model.safetensors"))

var restoredModel = MyModel()
try SafetensorsDecoder().load(into: &restoredModel, from: URL(filePath: "model.safetensors"))

Loading / persisting sharded safetensors is supported:

let encoder = SafetensorsEncoder(options: .init(sharding: .maximumBytes(2 << 30)))
try encoder.encode(transformer, to: URL(filePath: "checkpoint/", directoryHint: .isDirectory))
try SafetensorsDecoder().load(into: &transformer, from: URL(filePath: "checkpoint/", directoryHint: .isDirectory))

Optimizers store their state (excluding learning rates, momentums, and other hyperparameters) in safetensors as well.

try SafetensorsEncoder().encode(optimizer, to: URL(filePath: "optimizer.safetensors"))

var restoredOptimizer = Adam<Float, CPU>(learningRate: 0.001)
try SafetensorsDecoder().load(into: &restoredOptimizer, from: URL(filePath: "optimizer.safetensors"))

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Accelerated tensor operations and dynamic neural networks based on reverse mode automatic differentiation for every device that can run Swift - from watchOS to Linux

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