用js写一个卷积神经网络
时间: 2023-05-21 10:03:38 浏览: 37
当然可以,以下是一个简单的卷积神经网络的实现代码:
```javascript
// 定义卷积层
class ConvLayer {
constructor(inputDepth, inputWidth, inputHeight, filterSize, filterNum, stride, padding) {
this.inputDepth = inputDepth;
this.inputWidth = inputWidth;
this.inputHeight = inputHeight;
this.filterSize = filterSize;
this.filterNum = filterNum;
this.stride = stride;
this.padding = padding;
this.outputWidth = Math.floor((inputWidth - filterSize + 2 * padding) / stride + 1);
this.outputHeight = Math.floor((inputHeight - filterSize + 2 * padding) / stride + 1);
this.outputDepth = filterNum;
this.filters = [];
for (let i = 0; i < filterNum; i++) {
this.filters.push(new Filter(filterSize, inputDepth));
}
}
forward(input) {
this.input = input;
const output = new Array(this.outputWidth * this.outputHeight * this.outputDepth).fill(0);
for (let f = 0; f < this.filterNum; f++) {
const filter = this.filters[f];
let y = -this.padding;
for (let i = 0; i < this.outputHeight; i++) {
let x = -this.padding;
for (let j = 0; j < this.outputWidth; j++) {
let sum = 0;
for (let d = 0; d < this.inputDepth; d++) {
for (let h = 0; h < filter.size; h++) {
for (let w = 0; w < filter.size; w++) {
const inputIndex = (d * this.inputHeight + i * this.stride + h) * this.inputWidth + j * this.stride + w;
const filterIndex = (d * filter.size + h) * filter.size + w;
sum += input[inputIndex] * filter.weights[filterIndex];
}
}
}
const outputIndex = (f * this.outputHeight + i) * this.outputWidth + j;
output[outputIndex] = sum + filter.bias;
x += this.stride;
}
y += this.stride;
}
}
return output;
}
}
// 定义滤波器
class Filter {
constructor(size, depth) {
this.size = size;
this.weights = new Array(size * size * depth);
this.bias = 0;
for (let i = 0; i < this.weights.length; i++) {
this.weights[i] = Math.random() - 0.5;
}
}
}
// 定义池化层
class PoolLayer {
constructor(inputWidth, inputHeight, poolSize, stride) {
this.inputWidth = inputWidth;
this.inputHeight = inputHeight;
this.poolSize = poolSize;
this.stride = stride;
this.outputWidth = Math.floor((inputWidth - poolSize) / stride + 1);
this.outputHeight = Math.floor((inputHeight - poolSize) / stride + 1);
this.outputDepth = 1;
}
forward(input) {
this.input = input;
const output = new Array(this.outputWidth * this.outputHeight * this.outputDepth).fill(0);
for (let i = 0; i < this.outputHeight; i++) {
for (let j = 0; j < this.outputWidth; j++) {
let max = -Infinity;
for (let h = 0; h < this.poolSize; h++) {
for (let w = 0; w < this.poolSize; w++) {
const inputIndex = ((i * this.stride + h) * this.inputWidth + j * this.stride + w);
max = Math.max(max, input[inputIndex]);
}
}
const outputIndex = (i * this.outputWidth + j);
output[outputIndex] = max;
}
}
return output;
}
}
// 定义全连接层
class FCLayer {
constructor(inputSize, outputSize) {
this.inputSize = inputSize;
this.outputSize = outputSize;
this.weights = new Array(inputSize * outputSize);
this.bias = new Array(outputSize);
for (let i = 0; i < this.weights.length; i++) {
this.weights[i] = Math.random() - 0.5;
}
for (let i = 0; i < this.bias.length; i++) {
this.bias[i] = Math.random() - 0.5;
}
}
forward(input) {
this.input = input;
const output = new Array(this.outputSize).fill(0);
for (let i = 0; i < this.outputSize; i++) {
let sum = 0;
for (let j = 0; j < this.inputSize; j++) {
sum += input[j] * this.weights[j * this.outputSize + i];
}
output[i] = sum + this.bias[i];
}
return output;
}
}
// 定义激活函数
function relu(x) {
return Math.max(0, x);
}
// 定义损失函数
function crossEntropyLoss(y, t) {
let loss = 0;
for (let i = 0; i < y.length; i++) {
loss += t[i] * Math.log(y[i] + 1e-7);
}
return -loss;
}
// 定义神经网络
class NeuralNetwork {
constructor() {
this.layers = [
new ConvLayer(1, 28, 28, 5, 6, 1, 2),
new PoolLayer(24, 24, 2, 2),
new ConvLayer(6, 12, 12, 5, 16, 1, 0),
new PoolLayer(8, 8, 2, 2),
new FCLayer(16 * 4 * 4, 120),
new FCLayer(120, 84),
new FCLayer(84, 10),
];
}
forward(input) {
let x = input;
for (let i = 0; i < this.layers.length; i++) {
x = this.layers[i].forward(x);
if (i < this.layers.length - 1) {
for (let j = 0; j < x.length; j++) {
x[j] = relu(x[j]);
}
}
}
return x;
}
train(input, label, learningRate) {
// 前向传播
const y = this.forward(input);
// 计算损失
const loss = crossEntropyLoss(y, label);
// 反向传播
let delta = new Array(y.length);
for (let i = 0; i < y.length; i++) {
delta[i] = (y[i] - label[i]) / y.length;
}
for (let i = this.layers.length - 1; i >= 0; i--) {
if (this.layers[i] instanceof FCLayer) {
const input = this.layers[i - 1].output;
const output = this.layers[i].output;
const weights = this.layers[i].weights;
const bias = this.layers[i].bias;
const delta2 = new Array(input.length).fill(0);
const weightsDelta = new Array(weights.length).fill(0);
const biasDelta = new Array(bias.length).fill(0);
for (let j = 0; j < output.length; j++) {
const delta1 = delta[j];
for (let k = 0; k < input.length; k++) {
delta2[k] += delta1 * weights[k * output.length + j];
weightsDelta[k * output.length + j] += delta1 * input[k];
}
biasDelta[j] += delta1;
}
delta = delta2;
for (let j = 0; j < weights.length; j++) {
weights[j] -= learningRate * weightsDelta[j];
}
for (let j = 0; j < bias.length; j++) {
bias[j] -= learningRate * biasDelta[j];
}
} else if (this.layers[i] instanceof ConvLayer) {
const input = this.layers[i - 1].output;
const output = this.layers[i].output;
const filters = this.layers[i].filters;
const delta2 = new Array(input.length).fill(0);
for (let j = 0; j < output.length; j++) {
const delta1 = delta[j];
const filterIndex = Math.floor(j / output.length);
const filter = filters[filterIndex];
const outputIndex = j % output.length;
const inputIndex = outputIndex * this.layers[i].stride - this.layers[i].padding;
for (let d = 0; d < this.layers[i].inputDepth; d++) {
for (let h = 0; h < filter.size; h++) {
for (let w = 0; w < filter.size; w++) {
const inputIndex2 = (d * this.layers[i].inputHeight + inputIndex + h) * this.layers[i].inputWidth + w;
const filterIndex2 = (d * filter.size + h) * filter.size + w;
filter.weights[filterIndex2] -= learningRate * delta1 * input[inputIndex2];
delta2[inputIndex2] += delta1 * filter.weights[filterIndex2];
}
}
}
filter.bias -= learningRate * delta1;
}
delta = delta2;
}
}
return loss;
}
}
// 测试
const nn = new NeuralNetwork();
const input = new Array(28 * 28).fill(0).map(() => Math.random());
const label = new Array(10).fill(0);
label[Math.floor(Math.random() * 10)] = 1;
const y = nn.forward(input);
const loss = nn.train(input, label, 0.01);
console.log(y);
console.log(loss);
```
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