1. 初始化网络参数
2. 定义激活函数和损失函数
3. 前向传播
4. 反向传播
5. 训练网络
| 步骤 | 代码示例 |
|---|
| 1.初始化网络参数 | ```php |
$weights = [ 'input_to_hidden' => [[0.1, 0.2], [0.3, 0.4]],
'hidden_to_output' => [[0.5, 0.6]]
];
``` |
| 2. 定义激活函数和损失函数 | ```php
function sigmoid($x) {
return 1 / (1 + exp(-$x));
}
function mse($predicted, $actual) {
return sum(array_map(function($p, $a) {
return pow($p - $a, 2);
}, $predicted, $actual)) / count($predicted);
}
``` |
| 3. 前向传播 | ```php
function forward($input, $weights) {
$hidden = array_map(function($hidden_weight) use ($input) {
return sigmoid(array_sum(array_map(function($i) use ($hidden_weight) {
return $input[$i] * $hidden_weight[0];
}, array_keys($hidden_weight)) + $hidden_weight[1]);
}, $weights['input_to_hidden']);
$output = sigmoid(array_sum(array_map(function($h) use ($weights) {
return $h * $weights['hidden_to_output'][0][0];
}, $hidden)) + $weights['hidden_to_output'][1][0]);
return ['hidden' => $hidden, 'output' => $output];
}
``` |
| 4. 反向传播 | ```php
function backward($input, $weights, $predicted, $actual) {
$d_output = $predicted - $actual;
$d_hidden = array_map(function($h) use ($d_output, $weights) {
return $d_output * sigmoid_derivative($h);
}, $weights['input_to_hidden']);
$d_weights_hidden_to_output = array_map(function($d_h) use ($weights) {
return $d_h * $weights['hidden_to_output'][0][0];
}, $d_hidden);
$d_weights_input_to_hidden = array_map(function($d_i, $w_i) use ($weights, $input) {
return $d_i * sigmoid_derivative($w_i[0]);
}, $d_hidden, $weights['input_to_hidden']);
return [
'd_weights_hidden_to_output' => $d_weights_hidden_to_output,
'd_weights_input_to_hidden' => $d_weights_input_to_hidden
];
}
``` |
| 5. 训练网络 | ```php
function train($input, $weights, $actual, $learning_rate) {
$predicted = forward($input, $weights)['output'];
$loss = mse($predicted, $actual);
$d_weights = backward($input, $weights, $predicted, $actual);
foreach ($weights['input_to_hidden'] as &$w) {
$w[0] -= $d_weights['d_weights_input_to_hidden'][0] * $learning_rate;
$w[1] -= $d_weights['d_weights_input_to_hidden'][1] * $learning_rate;
}
$weights['hidden_to_output'][0][0] -= $d_weights['d_weights_hidden_to_output'][0] * $learning_rate;
$weights['hidden_to_output'][1][0] -= $d_weights['d_weights_hidden_to_output'][1] * $learning_rate;
return $loss;
}
``` |
通过以上步骤,我们创建了一个简单的PHP RNN,可以用于处理一些基本的分类或回归问题。需要注意的是,这个例子只是一个简单的入门示例,实际应用中可能需要更复杂的网络结构和训练算法。