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@tensorflow/tfjs-core

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Hardware-accelerated JavaScript library for machine intelligence

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/** * @license * Copyright 2019 Google LLC. 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. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License 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. * ============================================================================= */ import {ENGINE} from '../engine'; import {conv2dDerFilter, conv2dDerInput} from '../ops/conv'; import * as conv_util from '../ops/conv_util'; import {op} from '../ops/operation'; import {Tensor, Tensor3D, Tensor4D} from '../tensor'; import {makeTypesMatch} from '../tensor_util'; import {convertToTensor} from '../tensor_util_env'; import {TensorLike} from '../types'; import * as util from '../util'; import * as broadcast_util from './broadcast_util'; import {Activation} from './fused_util'; /** * Computes the dot product of two matrices with optional activation and bias. * * ```js * const a = tf.tensor2d([-1, -2], [1, 2]); * const b = tf.tensor2d([1, 2, 3, 4], [2, 2]); * const bias = tf.tensor2d([1, 2], [1, 2]); * * tf.fused.matMul(a, b, false, false, bias, 'relu').print(); * ``` * * @param a First matrix in dot product operation. * @param b Second matrix in dot product operation. * @param transposeA If true, `a` is transposed before multiplication. * @param transposeB If true, `b` is transposed before multiplication. * @param bias Matrix to be added to the result. * @param activation Name of activation kernel (defaults to `linear`). */ /** @doc {heading: 'Operations', subheading: 'Matrices', namespace: 'fused'} */ function matMul_<T extends Tensor>( a: T|TensorLike, b: T|TensorLike, transposeA = false, transposeB = false, bias?: Tensor|TensorLike, activation: Activation = 'linear'): T { let $a = convertToTensor(a, 'a', 'fused matMul'); let $b = convertToTensor(b, 'b', 'fused matMul'); [$a, $b] = makeTypesMatch($a, $b); const innerShapeA = transposeA ? $a.shape[$a.rank - 2] : $a.shape[$a.rank - 1]; const innerShapeB = transposeB ? $b.shape[$b.rank - 1] : $b.shape[$b.rank - 2]; const outerShapeA = transposeA ? $a.shape[$a.rank - 1] : $a.shape[$a.rank - 2]; const outerShapeB = transposeB ? $b.shape[$b.rank - 2] : $b.shape[$b.rank - 1]; const outerDimsA = $a.shape.slice(0, -2); const outerDimsB = $b.shape.slice(0, -2); const batchDimA = util.sizeFromShape(outerDimsA); const batchDimB = util.sizeFromShape(outerDimsB); util.assert( $a.rank >= 2 && $b.rank >= 2 && $a.rank === $b.rank, () => `Error in fused matMul: inputs must have the same rank of at least ` + `2, got ranks ${$a.rank} and ${$b.rank}.`); util.assert( util.arraysEqual(outerDimsA, outerDimsB), () => `Error in fused matMul: outer dimensions (${outerDimsA}) and (` + `${outerDimsB}) of Tensors with shapes ${$a.shape} and ` + `${$b.shape} must match.`); util.assert( innerShapeA === innerShapeB, () => `Error in fused matMul: inner shapes (${innerShapeA}) and (` + `${innerShapeB}) of Tensors with shapes ${$a.shape} and ` + `${$b.shape} and transposeA=${transposeA}` + ` and transposeB=${transposeB} must match.`); const outShape = $a.shape.slice(0, -2).concat([outerShapeA, outerShapeB]); const a3D = transposeA ? $a.as3D(batchDimA, innerShapeA, outerShapeA) : $a.as3D(batchDimA, outerShapeA, innerShapeA); const b3D = transposeB ? $b.as3D(batchDimB, outerShapeB, innerShapeB) : $b.as3D(batchDimB, innerShapeB, outerShapeB); let $bias: Tensor; if (bias != null) { $bias = convertToTensor(bias, 'bias', 'fused matMul'); [$bias] = makeTypesMatch($bias, $a); broadcast_util.assertAndGetBroadcastShape(outShape, $bias.shape); } const grad = (dy: Tensor3D, saved: Tensor[]) => { const [a3D, b3D, y] = saved; let dyActivation: Tensor3D; if (activation == null || activation === 'linear') { dyActivation = dy; } else if (activation === 'relu') { dyActivation = dy.mul(y.step()) as Tensor3D; } else { throw new Error( `Gradient for activation ${activation} has not been ` + `implemented yet.`); } let biasGradient = {}; if (bias != null) { biasGradient = { $bias: () => { let res = dyActivation; // Using dyActivation as reference shape because outputShape does not // account for the fact that we temporarily reshape inputs to 3D as // part of batched matMul. const reduceAxes = broadcast_util.getReductionAxes($bias.shape, dyActivation.shape); if (reduceAxes.length > 0) { res = res.sum(reduceAxes); } return res.reshape($bias.shape); } }; } if (!transposeA && !transposeB) { return Object.assign( { $a: () => dyActivation.matMul(b3D as Tensor3D, false, true), $b: () => a3D.matMul(dyActivation, true, false) }, biasGradient); } else if (!transposeA && transposeB) { return Object.assign( { $a: () => dyActivation.matMul(b3D as Tensor3D, false, false), $b: () => dyActivation.matMul(a3D as Tensor3D, true, false) }, biasGradient); } else if (transposeA && !transposeB) { return Object.assign( { $a: () => b3D.matMul(dyActivation, false, true), $b: () => a3D.matMul(dyActivation, false, false) }, biasGradient); } else { return Object.assign( { $a: () => b3D.matMul(dyActivation, true, true), $b: () => dyActivation.matMul(a3D as Tensor3D, true, true) }, biasGradient); } }; const inputs: {$a: Tensor, $b: Tensor, $bias?: Tensor} = {$a: a3D, $b: b3D}; if (bias != null) { inputs.$bias = $bias; } const res = ENGINE.runKernel((backend, save) => { const y = backend.fusedBatchMatMul( a3D, b3D, transposeA, transposeB, $bias, activation); save([a3D, b3D, y]); return y; }, inputs, grad); return res.reshape(outShape) as T; } /** * Computes a 2D convolution over the input x, optionally fused with adding a * bias and applying an activation. * * @param x The input tensor, of rank 4 or rank 3, of shape * `[batch, height, width, inChannels]`. If rank 3, batch of 1 is * assumed. * @param filter The filter, rank 4, of shape * `[filterHeight, filterWidth, inDepth, outDepth]`. * @param strides The strides of the convolution: `[strideHeight, * strideWidth]`. * @param pad The type of padding algorithm. * - `same` and stride 1: output will be of same size as input, * regardless of filter size. * - `valid`: output will be smaller than input if filter is larger * than 1x1. * - For more info, see this guide: * [https://www.tensorflow.org/api_guides/python/nn#Convolution]( * https://www.tensorflow.org/api_guides/python/nn#Convolution) * @param dataFormat: An optional string from: "NHWC", "NCHW". Defaults to * "NHWC". Specify the data format of the input and output data. With the * default format "NHWC", the data is stored in the order of: [batch, * height, width, channels]. Only "NHWC" is currently supported. * @param dilations The dilation rates: `[dilationHeight, dilationWidth]` * in which we sample input values across the height and width dimensions * in atrous convolution. Defaults to `[1, 1]`. If `dilations` is a single * number, then `dilationHeight == dilationWidth`. If it is greater than * 1, then all values of `strides` must be 1. * @param dimRoundingMode The rounding mode used when computing output * dimensions if pad is a number. If none is provided, it will not round * and error if the output is of fractional size. * @param bias Tensor to be added to the result. * @param activation Name of activation kernel (defaults to `linear`). */ /** @doc {heading: 'Operations', subheading: 'Convolution'} */ function conv2d_<T extends Tensor3D|Tensor4D>( x: T|TensorLike, filter: Tensor4D|TensorLike, strides: [number, number]|number, pad: 'valid'|'same'|number, dataFormat: 'NHWC'|'NCHW' = 'NHWC', dilations: [number, number]|number = [1, 1], dimRoundingMode?: 'floor'|'round'|'ceil', bias?: Tensor|TensorLike, activation: Activation = 'linear'): T { const $x = convertToTensor(x, 'x', 'conv2d'); const $filter = convertToTensor(filter, 'filter', 'conv2d'); let x4D = $x as Tensor4D; let reshapedTo4D = false; if ($x.rank === 3) { reshapedTo4D = true; x4D = $x.as4D(1, $x.shape[0], $x.shape[1], $x.shape[2]); } util.assert( x4D.rank === 4, () => `Error in fused conv2d: input must be rank 4, but got rank ` + `${x4D.rank}.`); util.assert( $filter.rank === 4, () => `Error in fused conv2d: filter must be rank 4, but got rank ` + `${$filter.rank}.`); if (dimRoundingMode != null) { util.assert( util.isInt(pad as number), () => `Error in fused conv2d: pad must be an integer when using, ` + `dimRoundingMode ${dimRoundingMode} but got pad ${pad}.`); } util.assert( x4D.shape[3] === $filter.shape[2], () => `Error in conv2d: depth of input (${x4D.shape[3]}) must match ` + `input depth for filter ${$filter.shape[2]}.`); util.assert( conv_util.eitherStridesOrDilationsAreOne(strides, dilations), () => 'Error in conv2D: Either strides or dilations must be 1. ' + `Got strides ${strides} and dilations '${dilations}'`); util.assert( dataFormat === 'NHWC', () => `Error in conv2d: got dataFormat of ${ dataFormat} but only NHWC is currently supported.`); const convInfo = conv_util.computeConv2DInfo( x4D.shape, $filter.shape, strides, dilations, pad, dimRoundingMode); let $bias: Tensor; if (bias != null) { $bias = convertToTensor(bias, 'bias', 'fused conv2d'); [$bias] = makeTypesMatch($bias, $x); broadcast_util.assertAndGetBroadcastShape(convInfo.outShape, $bias.shape); } const grad = (dy: Tensor4D, saved: Tensor[]) => { const [$filter, x4D, y] = saved as [Tensor4D, Tensor4D, Tensor4D]; let dyActivation: Tensor4D; if (activation == null || activation === 'linear') { dyActivation = dy; } else if (activation === 'relu') { dyActivation = dy.mul(y.step()) as Tensor4D; } else { throw new Error( `Gradient for activation ${activation} has not been ` + `implemented yet.`); } util.assert( conv_util.tupleValuesAreOne(dilations), () => 'Error in gradient of fused conv2D: ' + `dilation rates greater than 1 ` + `are not yet supported in gradients. Got dilations '${dilations}'`); let biasGradient = {}; if (bias != null) { biasGradient = { $bias: () => { let res = dyActivation; const reduceAxes = broadcast_util.getReductionAxes($bias.shape, dyActivation.shape); if (reduceAxes.length > 0) { res = res.sum(reduceAxes); } return res.reshape($bias.shape); } }; } return Object.assign( { x: () => conv2dDerInput(x4D.shape, dyActivation, $filter, strides, pad), $filter: () => conv2dDerFilter(x4D, dyActivation, $filter.shape, strides, pad) }, biasGradient); }; const inputs: {x: Tensor, $filter: Tensor, $bias?: Tensor} = {x: x4D, $filter}; if (bias != null) { inputs.$bias = $bias; } const res = ENGINE.runKernel((backend, save) => { const res = backend.fusedConv2d( x4D, $filter, convInfo, $bias as Tensor4D, activation); save([$filter, x4D, res]); return res; }, inputs, grad); if (reshapedTo4D) { return res.as3D(res.shape[1], res.shape[2], res.shape[3]) as T; } return res as T; } export const matMul = op({matMul_}); export const conv2d = op({conv2d_}); export {Activation};