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ActivationFunction class for Neural Network
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class ActivationFunction{ | |
constructor(activator,deactivator,usePrev){ | |
this.activator = activator; | |
this.deactivator = deactivator; | |
this.usePrev = usePrev; | |
} | |
static get SIGMOID(){ | |
return new ActivationFunction(value => 1 / (1 + Math.exp(value)),value => value * (1 - value),false); | |
} | |
static get TANH(){ | |
return new ActivationFunction(value => Math.tanh(value),value => 1 - value * value,false); | |
} | |
static get ARCTAN(){ | |
return new ActivationFunction(value => Math.atan(value),value => 1 / (value * value) + 1,true); | |
} | |
static get SOFTSIGN(){ | |
return new ActivationFunction(value => value / (1 + Math.abs(value)),value => 1 / Math.pow((Math.abs(value) + 1),2),true); | |
} | |
static get RELU(){ | |
return new ActivationFunction(value => value < 0 ? 0 : value,value => value < 0 ? 0 : 1,true); | |
} | |
static get LEAKY_RELU(){ | |
return new ActivationFunction(value => value < 0 ? 0.01 * value : value,value => value < 0 ? 0.01 : 1,true); | |
} | |
static get SOFT_PLUS(){ | |
return new ActivationFunction(value => Math.log(1 + Math.exp(value)),value => 1 / (1 + Math.exp(-value)),true); | |
} | |
static get GAUSSIAN(){ | |
return new ActivationFunction(value => Math.exp(-value * value),value => -2 * value * Math.exp(-value * value),true ); | |
} | |
} |
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class NeuralNetwork { | |
constructor(...nodes) { | |
this.weights = []; | |
this.biases = []; | |
this.layers = nodes.length-1; | |
this.activation_function = ActivationFunction.SIGMOID; | |
nodes.forEach((node,i,arr) => { | |
if(i === 0) return; | |
let weight = new Matrix(node,arr[i-1]).randomize(); | |
this.weights.push(weight); | |
let bias = new Matrix(node,1).randomize(); | |
this.biases.push(bias); | |
}); | |
this.learning_rate = 0.1; | |
} | |
setActivator(type){ | |
if(ActivationFunction[type] === undefined) throw new Error(`ActivationFunction.${type} is undefined`); | |
this.activation_function = ActivationFunction[type]; | |
} | |
predict(input_array) { | |
// Convert input into Matrix | |
let input = Matrix.fromArray(input_array); | |
// Calculate output | |
let output; | |
this.weights.forEach((weight,i,arr) => { | |
output = Matrix.multiply(weight,(i === 0) ? input : output); | |
output.add(this.biases[i]); | |
output.map(this.activation_function.activator); | |
}); | |
// Sending back to the caller! | |
return output.toArray(); | |
} | |
train(input_array, target_array) { | |
// Generating the Hidden Outputs | |
let inputs = Matrix.fromArray(input_array); | |
let targets = Matrix.fromArray(target_array); | |
// Store all layers output | |
let unActivatedOutputs = []; | |
let outputs = []; | |
this.weights.forEach((weight,i,arr) => { | |
let output = Matrix.multiply(weight,(i === 0) ? inputs : outputs[i-1]); | |
output.add(this.biases[i]); | |
unActivatedOutputs.push(output); | |
output.map(this.activation_function.activator); | |
outputs.push(output); | |
}); | |
// Backpropagate and adjust the weights and biases | |
let error = Matrix.subtract(targets,outputs[outputs.length-1]); | |
for(let i=outputs.length-1;i>=0;i--){ | |
if(i < outputs.length-1){ | |
error = Matrix.multiply(Matrix.transpose(this.weights[i+1]),error); | |
} | |
let gradient = Matrix.map(this.activation_function.usePrev ? unActivatedOutputs[i] : outputs[i],this.activation_function.deactivator); | |
gradient.multiply(error); | |
gradient.multiply(this.learning_rate); | |
let delta = Matrix.multiply(gradient,Matrix.transpose((i === 0) ? inputs : outputs[i-1])); | |
this.weights[i].add(delta); | |
this.biases[i].add(gradient); | |
} | |
} | |
print(){ | |
this.weights.forEach((weight,i) => { | |
let wTable = weight.html(); | |
let bTable = this.biases[i].html(); | |
document.body.innerHTML += "<div class='side'>" + wTable + bTable + "</div><br>"; | |
}); | |
document.body.innerHTML += "<hr>"; | |
} | |
} |
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