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moments.ts
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moments.ts
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/**
* @license
* Copyright 2020 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 {Tensor} from '../tensor';
import {convertToTensor} from '../tensor_util_env';
import {TensorLike} from '../types';
import {parseAxisParam} from '../util';
import {expandShapeToKeepDim} from './axis_util';
import {cast} from './cast';
import {mean} from './mean';
import {op} from './operation';
import {reshape} from './reshape';
import {square} from './square';
import {sub} from './sub';
/**
* Calculates the mean and variance of `x`. The mean and variance are
* calculated by aggregating the contents of `x` across `axes`. If `x` is
* 1-D and `axes = [0]` this is just the mean and variance of a vector.
*
* @param x The input tensor.
* @param axis The dimension(s) along with to compute mean and
* variance. By default it reduces all dimensions.
* @param keepDims If true, the moments have the same dimensionality as the
* input.
* @return An object with two keys: `mean` and `variance`.
*
* @doc {heading: 'Operations', subheading: 'Normalization'}
*/
function moments_(
x: Tensor|TensorLike, axis: number|number[] = null,
keepDims = false): {mean: Tensor, variance: Tensor} {
x = convertToTensor(x, 'x', 'moments');
const axes = parseAxisParam(axis, x.shape);
const xMean = mean(x, axes, keepDims);
let keepDimsShape = xMean.shape;
if (!keepDims) {
keepDimsShape = expandShapeToKeepDim(xMean.shape, axes);
}
const devSquared =
square(sub(cast(x, 'float32'), reshape(xMean, keepDimsShape)));
const variance = mean(devSquared, axes, keepDims);
return {mean: xMean, variance};
}
export const moments = /* @__PURE__ */ op({moments_});