// Other techniques for learning
class ActivationFunction {
constructor(func, dfunc) {
this.func = func;
this.dfunc = dfunc;
}
}
let sigmoid = new ActivationFunction(
x => 1 / (1 + Math.exp(-x)),
y => y * (1 - y)
);
let tanh = new ActivationFunction(
x => Math.tanh(x),
y => 1 - (y * y)
);
class NeuralNetwork {
/*
* if first argument is a NeuralNetwork the constructor clones it
* USAGE: cloned_nn = new NeuralNetwork(to_clone_nn);
*/
constructor(in_nodes, hid_nodes, out_nodes) {
if (in_nodes instanceof NeuralNetwork) {
let a = in_nodes;
this.input_nodes = a.input_nodes;
this.hidden_nodes = a.hidden_nodes;
this.output_nodes = a.output_nodes;
this.weights_ih = a.weights_ih.copy();
this.weights_ho = a.weights_ho.copy();
this.bias_h = a.bias_h.copy();
this.bias_o = a.bias_o.copy();
} else {
this.input_nodes = in_nodes;
this.hidden_nodes = hid_nodes;
this.output_nodes = out_nodes;
this.weights_ih = new Matrix(this.hidden_nodes, this.input_nodes);
this.weights_ho = new Matrix(this.output_nodes, this.hidden_nodes);
this.weights_ih.randomize();
this.weights_ho.randomize();
this.bias_h = new Matrix(this.hidden_nodes, 1);
this.bias_o = new Matrix(this.output_nodes, 1);
this.bias_h.randomize();
this.bias_o.randomize();
}
// TODO: copy these as well
this.setLearningRate();
this.setActivationFunction();
}
predict(input_array) {
// Generating the Hidden Outputs
let inputs = Matrix.fromArray(input_array);
let hidden = Matrix.multiply(this.weights_ih, inputs);
hidden.add(this.bias_h);
// activation function!
hidden.map(this.activation_function.func);
// Generating the output's output!
let output = Matrix.multiply(this.weights_ho, hidden);
output.add(this.bias_o);
output.map(this.activation_function.func);
// Sending back to the caller!
return output.toArray();
}
setLearningRate(learning_rate = 0.1) {
this.learning_rate = learning_rate;
}
setActivationFunction(func = tanh) {
this.activation_function = func;
}
train(input_array, target_array) {
// Generating the Hidden Outputs
let inputs = Matrix.fromArray(input_array);
let hidden = Matrix.multiply(this.weights_ih, inputs);
hidden.add(this.bias_h);
// activation function!
hidden.map(this.activation_function.func);
// Generating the output's output!
let outputs = Matrix.multiply(this.weights_ho, hidden);
outputs.add(this.bias_o);
outputs.map(this.activation_function.func);
// Convert array to matrix object
let targets = Matrix.fromArray(target_array);
// Calculate the error
// ERROR = TARGETS - OUTPUTS
let output_errors = Matrix.subtract(targets, outputs);
// let gradient = outputs * (1 - outputs);
// Calculate gradient
let gradients = Matrix.map(outputs, this.activation_function.dfunc);
gradients.multiply(output_errors);
gradients.multiply(this.learning_rate);
// Calculate deltas
let hidden_T = Matrix.transpose(hidden);
let weight_ho_deltas = Matrix.multiply(gradients, hidden_T);
// Adjust the weights by deltas
this.weights_ho.add(weight_ho_deltas);
// Adjust the bias by its deltas (which is just the gradients)
this.bias_o.add(gradients);
// Calculate the hidden layer errors
let who_t = Matrix.transpose(this.weights_ho);
let hidden_errors = Matrix.multiply(who_t, output_errors);
// Calculate hidden gradient
let hidden_gradient = Matrix.map(hidden, this.activation_function.dfunc);
hidden_gradient.multiply(hidden_errors);
hidden_gradient.multiply(this.learning_rate);
// Calcuate input->hidden deltas
let inputs_T = Matrix.transpose(inputs);
let weight_ih_deltas = Matrix.multiply(hidden_gradient, inputs_T);
this.weights_ih.add(weight_ih_deltas);
// Adjust the bias by its deltas (which is just the gradients)
this.bias_h.add(hidden_gradient);
// outputs.print();
// targets.print();
// error.print();
}
serialize() {
return JSON.stringify(this);
}
static deserialize(data) {
if (typeof data == 'string') {
data = JSON.parse(data);
}
let nn = new NeuralNetwork(data.input_nodes, data.hidden_nodes, data.output_nodes);
nn.weights_ih = Matrix.deserialize(data.weights_ih);
nn.weights_ho = Matrix.deserialize(data.weights_ho);
nn.bias_h = Matrix.deserialize(data.bias_h);
nn.bias_o = Matrix.deserialize(data.bias_o);
nn.learning_rate = data.learning_rate;
return nn;
}
// Adding function for neuro-evolution
copy() {
return new NeuralNetwork(this);
}
// Accept an arbitrary function for mutation
mutate(func) {
this.weights_ih.map(func);
this.weights_ho.map(func);
this.bias_h.map(func);
this.bias_o.map(func);
}
}