@tensorflow/tfjs-core
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Hardware-accelerated JavaScript library for machine intelligence
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JavaScript
/**
* @license
* Copyright 2018 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 * as tf from '../index';
import { ALL_ENVS, describeWithFlags } from '../jasmine_util';
import { expectArraysClose } from '../test_util';
describeWithFlags('MomentumOptimizer', ALL_ENVS, () => {
it('basic', async () => {
const learningRate = .1;
const momentum = .5;
const optimizer = tf.train.momentum(learningRate, momentum);
const x = tf.tensor1d([1, 2]).variable();
const f = () => x.square().sum();
let numTensors = tf.memory().numTensors;
let cost = optimizer.minimize(f, /* returnCost */ true);
// Cost & velocity should be the only additional arrays.
expect(tf.memory().numTensors).toBe(numTensors + 2);
// newAccumulation = momentum * accumulation + gradient
// newVariable += -learningRate * newAccumulation + variable
//
// de/dx = [2, 4]
// newAccumulation = [2, 4]
// x = [.8, 1.6]
expectArraysClose(await x.data(), [.8, 1.6]);
cost.dispose();
numTensors = tf.memory().numTensors;
cost = optimizer.minimize(f, /* returnCost */ false);
// de/dx = [1.6, 3.2]
// accumulation = [2, 4]
// newAccumulation = [2.6, 5.2]
// x = [0.54, 1.08]
expectArraysClose(await x.data(), [0.54, 1.08]);
// There should be no new additional Tensors.
expect(tf.memory().numTensors).toBe(numTensors);
expect(cost).toBe(null);
x.dispose();
numTensors = tf.memory().numTensors;
optimizer.dispose();
// The optimizer.dispose() call should have disposed the m variable and the
// momentum variable for x.
expect(tf.memory().numTensors).toBe(numTensors - 2);
});
it('basic - with Nesterov', async () => {
const learningRate = .1;
const momentum = .5;
const useNesterov = true;
const optimizer = tf.train.momentum(learningRate, momentum, useNesterov);
const x = tf.tensor1d([1, 2]).variable();
const f = () => x.square().sum();
let numTensors = tf.memory().numTensors;
let cost = optimizer.minimize(f, /* returnCost */ true);
// Cost and velocity should be the only additional arrays.
expect(tf.memory().numTensors).toBe(numTensors + 2);
// newAccumulation = momentum * accumulation + gradient
// newVariable = -learningRate * (newAccumulation * momentum + gradient) +
// variable
//
// de/dx = [2, 4]
// newAccumulation = [2, 4]
// newVariable = -0.1 * ([2, 4] * 0.5 + [2, 4]) + [1, 2]
// x = [.7, 1.4]
expectArraysClose(await x.data(), [.7, 1.4]);
cost.dispose();
numTensors = tf.memory().numTensors;
cost = optimizer.minimize(f, /* returnCost */ false);
// de/dx = [1.4, 2.8]
// accumulation = [2, 4]
// newAccumulation = [0.5 * 2 + 1.4, 0.5 * 4 + 2.8] = [2.4, 4.8]
// newVariable = -0.1 * ([2.4, 4.8] * 0.5 + [1.4, 2.8]) + [0.7, 1.4]
// x = [0.44, 0.88]
expectArraysClose(await x.data(), [0.44, 0.88]);
// There should be no new additional Tensors.
expect(tf.memory().numTensors).toBe(numTensors);
expect(cost).toBe(null);
x.dispose();
numTensors = tf.memory().numTensors;
optimizer.dispose();
// The optimizer.dispose() call should have disposed the m variable and the
// momentum variable for x.
expect(tf.memory().numTensors).toBe(numTensors - 2);
});
it('Save, load weights and conntinue training', async () => {
const learningRate = .1;
const momentum = .5;
const useNesterov = true;
const optimizer1 = tf.train.momentum(learningRate, momentum, useNesterov);
const x = tf.tensor1d([1, 2]).variable();
const f = () => x.square().sum();
let cost = optimizer1.minimize(f, /* returnCost */ true);
// The iterations counter and the accumulation for the variable x.
const optimizer2 = tf.train.momentum(learningRate, momentum, useNesterov);
await optimizer2.setWeights(await optimizer1.getWeights());
cost = optimizer2.minimize(f, /* returnCost */ true);
expectArraysClose(await cost.data(), 2.45);
expectArraysClose(await x.data(), [0.44, 0.88]);
expect(optimizer2.iterations).toEqual(2);
});
it('serialization round-trip', () => {
const originalOpt = tf.train.momentum(0.1, 0.2, true);
const reserialized = tf.MomentumOptimizer.fromConfig(tf.MomentumOptimizer, originalOpt.getConfig());
expect(reserialized.getConfig()).toEqual(originalOpt.getConfig());
});
});
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