@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};