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/*
 * Copyright 2018 Amazon.com, Inc. or its affiliates. All Rights Reserved.
 *
 * Licensed under the Apache License, Version 2.0 (the "License"). You may not use this file except in compliance
 * with the License. A copy of the License is located at
 *
 * http://aws.amazon.com/apache2.0/
 *
 * or in the "license" file accompanying this file. This file is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES
 * OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions
 * and limitations under the License.
 */
package ai.djl.nn.convolutional;

import ai.djl.Device;
import ai.djl.MalformedModelException;
import ai.djl.ndarray.NDArray;
import ai.djl.ndarray.NDList;
import ai.djl.ndarray.types.LayoutType;
import ai.djl.ndarray.types.Shape;
import ai.djl.nn.AbstractBlock;
import ai.djl.nn.Block;
import ai.djl.nn.Parameter;
import ai.djl.training.ParameterStore;
import ai.djl.util.PairList;
import java.io.DataInputStream;
import java.io.IOException;

/**
 * A convolution layer does a dot product calculation on each channel of \(k\)-channel input data by
 * specified number of filters, each containing \(k\) kernels for calculating each channel in the
 * input data and then summed per filter, hence the number of filters denote the number of output
 * channels of a convolution layer. Some modifications may be set on a convolution layer, namely
 * stride which shows the distance between each convolved input data in a channel, and padding which
 * shows the preservation of input size (width and/or height and/or depth) by adding specified
 * padding to the sides of the output. A convolution layer extracts features of input data with
 * different representations where each representation lies per channel in the output, often known
 * as feature map or feature vector.
 *
 * 

While convolution process itself has been around for quite some time in mathematics, in 1998 * LeCun et al. implemented the very first convolution layers forming a network called * LeNet-5 for character recognition task; details of the network's implementation can be find in * LeNet-5's paper. When other * approaches at that time used handcrafted features with external stage of feature extraction, * convolution layer performed feature extraction on its own with no human interference. This marks * a new era of machine-extracted features, but it was not until 2012 that the published * paper of AlexNet marked the beginning of convolutional neural networks, which by the name * itself heavily relies on convolution layer. * *

Convolution layer is usually used in image-related tasks due to its well-renowned performance * as shown by existing works and currently, other non-image-related fields of study are beginning * to incorporate convolution layer as an addition or replacement of previous approaches, with one * example being time series processing with 1-dimensional convolution layer. Due to the nature of * convolution that processes all points in the input data, it is computationally expensive, hence * the use of GPU is strongly recommended for faster performance as opposed to using CPU. Note that * it is also common to stack convolution layers with different output channels for more * representations of the input data. * *

Current implementations of {@code Convolution} are {@link Conv1d} with input dimension of * {@link LayoutType#WIDTH}, {@link Conv2d} with input dimension of {@link LayoutType#WIDTH} and * {@link LayoutType#HEIGHT}, and lastly {@link Conv3d} with input dimension of {@link * LayoutType#WIDTH}, {@link LayoutType#HEIGHT}, and {@link LayoutType#DEPTH}. These implementations * share the same core principal as a {@code Convolution} layer does, with the difference being the * number of input dimension each operates on as denoted by {@code ConvXD} for {@code X} * dimension(s). * * @see The D2L * chapters on convolution */ public abstract class Convolution extends AbstractBlock { private static final byte VERSION = 3; protected Shape kernelShape; protected Shape stride; protected Shape padding; protected Shape dilation; protected int filters; protected int groups; protected boolean includeBias; protected Parameter weight; protected Parameter bias; /** * Creates a {@link Convolution} object. * * @param builder the {@code Builder} that has the necessary configurations */ public Convolution(ConvolutionBuilder builder) { super(VERSION); kernelShape = builder.kernelShape; stride = builder.stride; padding = builder.padding; dilation = builder.dilation; filters = builder.filters; groups = builder.groups; includeBias = builder.includeBias; weight = addParameter( Parameter.builder() .setName("weight") .setType(Parameter.Type.WEIGHT) .build()); if (includeBias) { bias = addParameter( Parameter.builder() .setName("bias") .setType(Parameter.Type.BIAS) .build()); } } /** * Returns the expected layout of the input. * * @return the expected layout of the input */ protected abstract LayoutType[] getExpectedLayout(); /** * Returns the string representing the layout of the input. * * @return the string representing the layout of the input */ protected abstract String getStringLayout(); /** * Returns the number of dimensions of the input. * * @return the number of dimensions of the input */ protected abstract int numDimensions(); /** {@inheritDoc} */ @Override protected NDList forwardInternal( ParameterStore parameterStore, NDList inputs, boolean training, PairList params) { NDArray input = inputs.singletonOrThrow(); Device device = input.getDevice(); NDArray weightArr = parameterStore.getValue(weight, device, training); NDArray biasArr = parameterStore.getValue(bias, device, training); return convolution(input, weightArr, biasArr, stride, padding, dilation, groups); } /** {@inheritDoc} */ @Override protected void beforeInitialize(Shape... inputShapes) { super.beforeInitialize(inputShapes); Block.validateLayout(getExpectedLayout(), inputShapes[0].getLayout()); } /** {@inheritDoc} */ @Override protected void prepare(Shape[] inputs) { long inputChannel = inputs[0].get(1); weight.setShape(new Shape(filters, inputChannel / groups).addAll(kernelShape)); if (bias != null) { bias.setShape(new Shape(filters)); } } /** {@inheritDoc} */ @Override public Shape[] getOutputShapes(Shape[] inputs) { long[] shape = new long[numDimensions()]; shape[0] = inputs[0].get(0); shape[1] = filters; for (int i = 0; i < numDimensions() - 2; i++) { shape[2 + i] = (inputs[0].get(2 + i) + 2 * padding.get(i) - dilation.get(i) * (kernelShape.get(i) - 1) - 1) / stride.get(i) + 1; } return new Shape[] {new Shape(shape)}; } /** {@inheritDoc} */ @Override public void loadMetadata(byte version, DataInputStream is) throws IOException, MalformedModelException { if (version == VERSION) { readInputShapes(is); } else if (version != 1) { throw new MalformedModelException("Unsupported encoding version: " + version); } } /** * Applies N-D convolution over an input signal composed of several input planes. * * @param input the input {@code NDArray} of shape (batchSize, inputChannel, ...) * @param weight filters {@code NDArray} of shape (outChannel, inputChannel/groups, ...) * @param bias bias {@code NDArray} of shape (outChannel) * @param stride the stride of the convolving kernel: Shape(w), Shape(h, w) or Shape(d, h, w) * @param padding implicit paddings on both sides of the input: Shape(w), Shape(h, w) or * Shape(d, h, w) * @param dilation the spacing between kernel elements: Shape(w), Shape(h, w) or Shape(d, h, w) * @param groups split input into groups: input channel(input.size(1)) should be divisible by * the number of groups * @return the output of the convolution operation */ static NDList convolution( NDArray input, NDArray weight, NDArray bias, Shape stride, Shape padding, Shape dilation, int groups) { return input.getNDArrayInternal() .convolution(input, weight, bias, stride, padding, dilation, groups); } /** * A builder that can build any {@code Convolution} block. * * @param the type of {@code Convolution} block to build */ @SuppressWarnings("rawtypes") public abstract static class ConvolutionBuilder { protected Shape kernelShape; protected Shape stride; protected Shape padding; protected Shape dilation; protected int filters; protected int groups = 1; protected boolean includeBias = true; /** * Sets the shape of the kernel. * * @param kernelShape the shape of the kernel * @return this Builder */ public T setKernelShape(Shape kernelShape) { this.kernelShape = kernelShape; return self(); } /** * Sets the stride of the convolution. Defaults to 1 in each dimension. * * @param stride the shape of the stride * @return this Builder */ public T optStride(Shape stride) { this.stride = stride; return self(); } /** * Sets the padding along each dimension. Defaults to 0 along each dimension. * * @param padding the shape of padding along each dimension * @return this Builder */ public T optPadding(Shape padding) { this.padding = padding; return self(); } /** * Sets the dilation along each dimension. Defaults to 1 along each dimension. * * @param dilate the shape of dilation along each dimension * @return this Builder */ public T optDilation(Shape dilate) { this.dilation = dilate; return self(); } /** * Sets the Required number of filters. * * @param filters the number of convolution filters(channels) * @return this Builder */ public T setFilters(int filters) { this.filters = filters; return self(); } /** * Sets the number of group partitions. * * @param groups the number of group partitions * @return this Builder */ public T optGroups(int groups) { this.groups = groups; return self(); } /** * Sets the optional parameter of whether to include a bias vector. Includes bias by * default. * * @param includeBias whether to use a bias vector parameter * @return this Builder */ public T optBias(boolean includeBias) { this.includeBias = includeBias; return self(); } /** * Validates that the required arguments are set. * * @throws IllegalArgumentException if the required arguments are not set */ protected void validate() { if (kernelShape == null || filters == 0) { throw new IllegalArgumentException("Kernel and numFilters must be set"); } } protected abstract T self(); } }





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