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network.cpp
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network.cpp
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#include "network.h"
#include <cassert>
#include <random>
#include <cmath>
#include <limits>
#include <Magick++.h>
#include <fstream>
#include "ThreadPool.h"
#include <iostream>
double learning_rate = 1;
namespace {
double init_link_lower_bound = -1;
double init_link_upper_bound = 1;
double init_neuron_lower_bound = -1;
double init_neuron_upper_bound = 1;
std::default_random_engine re;
double activation_function(double x) {
return std::tanh(x * 2 / 3);
//return 1/(1+exp(-x));
}
double activation_function_derivative(double x) {
return (double) 2 / 3 / std::pow(std::sinh(x * 2 / 3), 2);
//return activation_function(x)*(1-activation_function(x));
}
}
Link::Link(Producer * source, Consumer * target): source(source), target(target) {
std::uniform_real_distribution<double> unif(init_link_lower_bound, init_link_upper_bound);
weight = unif(::re);
source->addReceiver(this);
target->addSource(this);
}
Link::Link(Producer * source, Consumer * target, double weight): Link(source, target) {
this->weight = weight;
}
void Neuron::resetOutput() {
this->energy_recalc = true;
}
void NetworkInput::resetOutput() {
this->signal = 0;
}
void Neuron::addReceiver(Link * _l) {
outputs.push_back(_l);
}
void Neuron::addSource(Link * _l) {
inputs.push_back(_l);
}
Neuron::Neuron(double shift): Neuron(){
this->shift = shift;
}
Neuron::Neuron() {
std::uniform_real_distribution<double> unif(init_neuron_lower_bound, init_neuron_upper_bound);
shift = unif(::re);
resetOutput();
resetError();
}
void NetworkOutput::changeShift() {
Neuron::changeShift();
}
NetworkOutput::NetworkOutput(): Neuron() {
// shift = 0;
}
NetworkOutput::NetworkOutput(double x) : Neuron(x) {
// shift = 0;
}
void Neuron::resetError() {
error_recalc = true;
}
double NetworkOutput::getState() {
return getSignal();
}
void NetworkOutput::teach(double x) {
error_recalc = false;
error = (x - getSignal()) * activation_function_derivative(getSignal());
}
void Neuron::calcEnergy() {
if (!energy_recalc) return;
energy_recalc = false;
double sum = 0;
for (Link * i: inputs) {
sum += i->getSignal();
}
energy = ::activation_function(sum + shift);
}
double Link::getError() {
return weight * target->getError();
}
void Neuron::calcError() {
if (!error_recalc) return;
error_recalc = false;
calcEnergy();
double sum = 0;
for (Link * i: outputs) {
sum += i->getError();
}
error = ::activation_function_derivative(energy) * sum;
}
double Neuron::getError() {
calcError();
return error;
}
double Neuron::getSignal() {
calcEnergy();
return energy;
}
void NetworkInput::setState(double x) {
signal = x;
}
double Link::getSignal() {
return source->getSignal() * weight;
}
double NetworkInput::getSignal() {
return signal;
}
void NetworkInput::addReceiver(Link*){}
void Link::changeWeight() {
weight += learning_rate * target->getError() * source->getSignal();
}
void Neuron::changeShift() {
shift += learning_rate * error;
}
double Neuron::getShift() const {
return this->shift;
}
double Link::getWeight() const {
return this->weight;
}
namespace {
const int xsize = 20;
const int ysize = 20;
const Magick::Geometry ImgGeometry("20x20!");
const int hidden_layers_count = 2;
const int hidden_layers_size = 400;
std::vector<NetworkInput*> inputs;
std::vector<NetworkOutput*> outputs;
std::vector<std::vector<Neuron*>> hidden_layers;
std::vector<Link*> inp_links, outp_links;
std::vector<std::vector<Link*>> mid_edges;
}
void initializeNetwork() {
for (int i = 0; i < ::xsize * ::ysize; i++)
inputs.push_back(new NetworkInput());
::hidden_layers.resize(::hidden_layers_count);
for (int i = 0; i < hidden_layers_count; i++) {
for (int j = 0; j < ::hidden_layers_size; j++)
hidden_layers[i].push_back(new Neuron());
}
for (char x = 'a'; x <= 'z'; x++)
::outputs.push_back(new NetworkOutput());
for (int i = 0; i < ::xsize * ::ysize; i++)
for (int j = 0; j < hidden_layers[0].size(); j++)
inp_links.push_back(new Link(inputs[i], hidden_layers[0][j]));
mid_edges.resize(hidden_layers_count - 1);
for (int i = 0; i < ::hidden_layers_count - 1; i++) {
for (int j = 0; j < ::hidden_layers[i].size(); j++) {
for (int k = 0; k < ::hidden_layers[i + 1].size(); k++) {
mid_edges[i].push_back(new Link(hidden_layers[i][j], hidden_layers[i+1][k]));
}
}
}
for (int j = 0; j < hidden_layers[hidden_layers_count - 1].size(); j++)
for (int i = 0; i < outputs.size(); i++) {
outp_links.push_back(new Link(hidden_layers[hidden_layers_count - 1][j], outputs[i]));
}
}
void readNetwork(const std::string & filename) {
std::ifstream is(filename, std::ios::binary);
for (int i = 0; i < ::xsize * ::ysize; i++)
inputs.push_back(new NetworkInput());
hidden_layers.resize(hidden_layers_count);
for (int i = 0; i < hidden_layers_count; i++) {
for (int j = 0; j < hidden_layers_size; j++) {
double tmp; is.read((char*)&tmp, sizeof(double));
hidden_layers[i].push_back(new Neuron(tmp));
}
}
for (int i = 0; i < 'z' - 'a' + 1; i++) {
double tmp; is.read((char*)&tmp, sizeof(double));
outputs.push_back(new NetworkOutput(tmp));
}
for (int i = 0; i < inputs.size(); i++) {
for (int j = 0; j < hidden_layers_size; j++) {
double tmp; is.read((char*)&tmp, sizeof(double));
inp_links.push_back(new Link(inputs[i], hidden_layers[0][j], tmp));
}
}
for (int i = 0; i < hidden_layers_size; i++) {
for (int j = 0; j < outputs.size(); j++) {
double tmp; is.read((char*)&tmp, sizeof(double));
outp_links.push_back(new Link(hidden_layers[hidden_layers_count - 1][i], outputs[j], tmp));
}
}
mid_edges.resize(hidden_layers_count - 1);
for (int i = 0; i < hidden_layers_count - 1; i++) {
for (int j = 0; j < hidden_layers_size; j++) {
for (int k = 0; k < hidden_layers_size; k++) {
double tmp; is.read((char*)&tmp, sizeof(double));
mid_edges[i].push_back(new Link(hidden_layers[i][j], hidden_layers[i+1][k], tmp));
}
}
}
is.close();
}
void writeNetwork(const std::string & filename) {
std::ofstream os(filename, std::ios_base::binary);
for (int i = 0; i < hidden_layers.size(); i++) {
for (int j = 0; j < hidden_layers[i].size(); j++) {
double tmp = hidden_layers[i][j]->getShift();
os.write((char*)&tmp, sizeof(double));
}
}
for (int i = 0; i < outputs.size(); i++) {
double tmp = outputs[i]->getShift();
os.write((char*)&tmp, sizeof(double));
}
for (int i = 0; i < inp_links.size(); i++) {
double tmp = inp_links[i]->getWeight();
os.write((char*)&tmp, sizeof(double));
}
for (int i = 0; i < outp_links.size(); i++) {
double tmp = outp_links[i]->getWeight();
os.write((char*)&tmp, sizeof(double));
}
for (int i = 0; i < mid_edges.size(); i++) {
for (int j = 0; j < mid_edges[i].size(); j++) {
double tmp = mid_edges[i][j]->getWeight();
os.write((char*)&tmp, sizeof(double));
}
}
os.close();
}
void resetNetwork() {
for (int i = 0; i < hidden_layers_count; i++) {
for (int j = 0; j < hidden_layers_size; j++) {
hidden_layers[i][j]->resetError();
hidden_layers[i][j]->resetOutput();
}
}
for (int i = 0; i < outputs.size(); i++) {
outputs[i]->resetError();
outputs[i]->resetOutput();
}
}
char runNetwork(Magick::Image& image) {
resetNetwork();
for (int i = 0; i < xsize; i++) {
for (int j = 0; j < ysize; j++) {
Magick::ColorGray color = image.pixelColor(i, j);
inputs[xsize * i + j]->setState(color.shade() * 2 - 1);
}
}
for (int i = 0; i < hidden_layers_count; i++) {
Thread_pool pool;
for (int j = 0; j < hidden_layers_size; j++) {
//std::cerr << i << "-" << j << std::endl;
pool.submit(std::bind(&Neuron::calcEnergy, hidden_layers[i][j]));
}
}
{
Thread_pool pool;
for (int i = 0; i < outputs.size(); i++) {
pool.submit(std::bind(&NetworkOutput::calcEnergy, outputs[i]));
}
}
int maxi = 0;
for (int i = 0; i < outputs.size(); i++) {
if (outputs[i]->getSignal() > outputs[maxi]->getSignal())
maxi = i;
}
return maxi + 'a';
}
void teachNetwork(Magick::Image& image, char c) {
int step = 0;
double error = 0;
do {
step++;
//std::cerr << runNetwork(image) << std::endl;
error = 0;
for (int i = 0; i < 'z' - 'a'; i++) {
double f = (i == c - 'a') * 2 - 1;
outputs[i]->teach(f);
error += (outputs[i]->getSignal() - f) * (outputs[i]->getSignal() - f);
}
{
for (int i = hidden_layers_count - 1; i >= 0; i--) {
Thread_pool pool;
for (int j = 0; j < hidden_layers_size; j++) {
pool.submit(std::bind(&Neuron::calcError, hidden_layers[i][j]));
}
}
}
//std::cerr << error << std::endl;
if (error < 1e-3) break;
for (int i = 0; i < outp_links.size(); i++) {
outp_links[i]->changeWeight();
}
for (int i = 0; i < mid_edges.size(); i++) {
for (int j = 0; j < mid_edges[i].size(); j++) {
mid_edges[i][j]->changeWeight();
}
}
for (int i = 0; i < hidden_layers_count; i++) {
for (int j = 0; j < hidden_layers_count; j++) {
hidden_layers[i][j]->changeShift();
}
}
for (int i = 0; i < inp_links.size(); i++) {
inp_links[i]->changeWeight();
}
for (int i = 0; i < outputs.size(); i++) {
outputs[i]->changeShift();
}
//std::cerr << error << std::endl;
} while (step < 40);
}
void prepareImage(Magick::Image & img) {
img.type(Magick::GrayscaleType);
img.resize(ImgGeometry);
}