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Regulaization
Started on regulaization in  Loss.h. I need to refactor the matsum.h since I need a total sum over the matrix. Also matmul needs a elementwise matmul function, which is the next this in the ragulaization
2026-01-03 22:10:50 +01:00

134 lines
5.1 KiB
C++

#pragma once
#include "./core/omp_config.h"
#include "./utils/vector.h"
#include "./utils/matrix.h"
#include "./numerics/matmul.h"
#include <math.h>
namespace neural_networks{
template <typename T>
struct Optimizer_Adam{
T learning_rate = T{1};
T current_learning_rate = learning_rate;
T decay = T{0};
T epsilon = T{1e-7};
T beta_1 = T{0.9};
T beta_2 = T{0.999};
uint64_t iterations = 0;
utils::Matrix<T> weight_momentums_corrected;
utils::Vector<T> bias_momentums_corrected;
utils::Matrix<T> weight_cache_corrected;
utils::Vector<T> bias_cache_corrected;
// Default Constructor
Optimizer_Adam() = default;
// Constructor
explicit Optimizer_Adam(const T lr, const T lr_decay, const T epsilons, const T beta1, const T beta2):
learning_rate(lr),
current_learning_rate{lr},
decay(lr_decay),
epsilon(epsilons),
beta_1(beta1),
beta_2(beta2) {}
void pre_update_params(){
if(decay){
current_learning_rate = learning_rate * (T{1}/(T{1}+(decay*iterations)));
//std::cout << current_learning_rate << std::endl;
}
}
template <typename Layer>
void update_params(Layer& layer){
// if layer does not contain cache arrays, create them filled with zeros.
if ((layer.weight_cache.rows() != layer.weights.rows()) || (layer.weight_cache.cols() != layer.weights.cols())){
layer.weight_momentums.resize(layer.weights.rows(), layer.weights.cols(), T{0});
layer.weight_cache.resize(layer.weights.rows(), layer.weights.cols(), T{0});
}
if (layer.bias_cache.size() != layer.biases.size()){
layer.bias_momentums.resize(layer.biases.size(), T{0});
layer.bias_cache.resize(layer.biases.size(), T{0});
}
// Update momentum with current gradients
for (uint64_t i = 0; i < layer.weights.rows(); ++i){
for (uint64_t j = 0; j < layer.weights.cols(); ++j){
layer.weight_momentums(i,j) = (beta_1 * layer.weight_momentums(i,j)) + ((T{1} - beta_1) * layer.dweights(i,j));
}
}
for (uint64_t i = 0; i < layer.biases.size(); ++i){
layer.bias_momentums[i] = (beta_1 * layer.bias_momentums[i]) + ((T{1} - beta_1) * layer.dbiases[i]);
}
// Get corrected momentum
// interation is 0 at first pass
// and we need to start with 1 here
weight_momentums_corrected.resize(layer.weights.rows(),layer.weights.cols()); // can be optimized out later
for (uint64_t i = 0; i < layer.weights.rows(); ++i){
for (uint64_t j = 0; j < layer.weights.cols(); ++j){
weight_momentums_corrected(i,j) = layer.weight_momentums(i,j) / (T{1} - std::pow(beta_1, iterations+1));
}
}
bias_momentums_corrected.resize(layer.biases.size()); // can be optimized out later
for (uint64_t i = 0; i < layer.biases.size(); ++i){
bias_momentums_corrected[i] = layer.bias_momentums[i] / (T{1} - std::pow(beta_1, iterations+1));
}
// Update cache with squared current gradients
for (uint64_t i = 0; i < layer.weights.rows(); ++i){
for (uint64_t j = 0; j < layer.weights.cols(); ++j){
layer.weight_cache(i,j) = (beta_2*layer.weight_cache(i,j)) + ((T{1}-beta_2) * (layer.dweights(i,j)*layer.dweights(i,j)));
}
}
for (uint64_t i = 0; i < layer.biases.size(); ++i){ // can maybe be included when updating weights (saves time)
layer.bias_cache[i] = (beta_2*layer.bias_cache[i]) + ((T{1}-beta_2) * (layer.dbiases[i]*layer.dbiases[i]));
}
// Get corrected cache
// interation is 0 at first pass
// and we need to start with 1 here
weight_cache_corrected.resize(layer.weights.rows(),layer.weights.cols()); // can be optimized out later
for (uint64_t i = 0; i < layer.weights.rows(); ++i){
for (uint64_t j = 0; j < layer.weights.cols(); ++j){
weight_cache_corrected(i,j) = layer.weight_cache(i,j) / (T{1} - std::pow(beta_2, iterations+1));
}
}
bias_cache_corrected.resize(layer.biases.size()); // can be optimized out later
for (uint64_t i = 0; i < layer.biases.size(); ++i){
bias_cache_corrected[i] = layer.bias_cache[i] / (T{1} - std::pow(beta_2, iterations+1));
}
// Vanilla SGD parameter update + normalization with squared rooted cache
for (uint64_t i = 0; i < layer.weights.rows(); ++i){
for (uint64_t j = 0; j < layer.weights.cols(); ++j){
layer.weights(i,j) -= (current_learning_rate*weight_momentums_corrected(i,j)) / (std::sqrt(weight_cache_corrected(i,j)) + epsilon);
}
}
for (uint64_t i = 0; i < layer.biases.size(); ++i){
layer.biases[i] -= (current_learning_rate*bias_momentums_corrected[i]) / (std::sqrt(bias_cache_corrected[i]) + epsilon);
}
}
void post_update_params(){
iterations++;
}
};
} // end namespace neural_networks