module DNN module Optimizers #Super class of all optimizer classes. class Optimizer attr_accessor :learning_rate def initialize(learning_rate) @learning_rate = learning_rate end #Update layer has params. def update(layer) end end class SGD < Optimizer attr_accessor :momentum def initialize(learning_rate = 0.01, momentum: 0) super(learning_rate) @momentum = momentum @amounts = {} end def update(layer) amount = if @amounts[layer] @amounts[layer] else @amounts[layer] = {} end layer.params.each_key do |key| amount[key] = layer.grads[key] * @learning_rate if @momentum > 0 @amounts[layer][key] ||= 0 amount[key] += @momentum * @amounts[layer][key] @amounts[layer] = amount end layer.params[key] -= amount[key] end end end class AdaGrad def initialize(learning_rate = 0.01) super(learning_rate) @g = {} end def update(layer) @g[layer] ||= {} layer.params.each_key do |key| @g[layer][key] ||= 0 @g[layer][key] += layer.grads[key]**2 layer.params[key] -= (@learning_rate / NMath.sqrt(@g[layer][key] + 1e-7)) * layer.grads[key] end end end class RMSProp < Optimizer attr_accessor :muse def initialize(learning_rate = 0.001, muse = 0.9) super(learning_rate) @muse = muse @g = {} end def update(layer) @g[layer] ||= {} layer.params.each_key do |key| @g[layer][key] ||= 0 @g[layer][key] = @muse * @g[layer][key] + (1 - @muse) * layer.grads[key]**2 layer.params[key] -= (@learning_rate / NMath.sqrt(@g[layer][key] + 1e-7)) * layer.grads[key] end end end class Adam < Optimizer include Numo attr_accessor :beta1 attr_accessor :beta2 def initialize(learning_rate = 0.001, beta1 = 0.9, beta2 = 0.999) super(learning_rate) @beta1 = beta1 @beta2 = beta2 @iter = 0 @m = {} @v = {} end def update(layer) @iter += 1 @m[layer] ||= {} @v[layer] ||= {} lr = @learning_rate * Math.sqrt(1 - @beta2**@iter) / (1 - @beta1**@iter) layer.params.each_key do |key| @m[layer][key] ||= 0 @v[layer][key] ||= 0 @m[layer][key] += (1 - @beta1) * (layer.grads[key] - @m[layer][key]) @v[layer][key] += (1 - @beta2) * (layer.grads[key]**2 - @v[layer][key]) layer.params[key] -= lr * @m[layer][key] / NMath.sqrt(@v[layer][key] + 1e-7) end end end end end