#include #include "neuronal_network.h" #include #include double sigmoid(double input); Matrix* predict(Neural_Network* network, Matrix* image_data); double square(double input); Matrix * backPropagation(double learning_rate, Matrix* weights, Matrix* biases, Matrix* current_layer_activation, Matrix* previous_layer_activation, Matrix* sigma_old); Neural_Network* new_network(int input_size, int hidden_size, int output_size, double learning_rate){ Neural_Network *network = malloc(sizeof(Neural_Network)); // initialize networks variables network->hidden_size = hidden_size; network->input_size = input_size; network->output_size = output_size; network->learning_rate = learning_rate; network->weights_1 = matrix_create(hidden_size, input_size); network->weights_2 = matrix_create(hidden_size, hidden_size); network->weights_3 = matrix_create(hidden_size, hidden_size); network->weights_output = matrix_create(output_size, hidden_size); network->bias_1 = matrix_create(hidden_size, 1); network->bias_2 = matrix_create(hidden_size, 1); network->bias_3 = matrix_create(hidden_size, 1); network->bias_output = matrix_create(output_size, 1); return network; } void randomize_network(Neural_Network* network, int scope){ matrix_randomize(network->weights_1, scope); matrix_randomize(network->weights_2, scope); matrix_randomize(network->weights_3, scope); matrix_randomize(network->weights_output, scope); // matrix_randomize(network->bias_1, scope); // matrix_randomize(network->bias_2, scope); // matrix_randomize(network->bias_3, scope); // matrix_randomize(network->bias_output, scope); matrix_fill(network->bias_1, 1); matrix_fill(network->bias_2, 1); matrix_fill(network->bias_3, 1); matrix_fill(network->bias_output, 1); } void free_network(Neural_Network* network){ matrix_free(network->weights_1); matrix_free(network->weights_2); matrix_free(network->weights_3); matrix_free(network->weights_output); matrix_free(network->bias_1); matrix_free(network->bias_2); matrix_free(network->bias_3); matrix_free(network->bias_output); free(network); } void save_network(Neural_Network* network) { char* file_name = "../networks/newest_network.txt"; // create file FILE* save_file = fopen(file_name, "w"); // check if file is successfully opened if(save_file == NULL) { printf("ERROR: Something went wrong in file creation! (save_network)"); exit(1); } // save network size to first line of the file fprintf(save_file, "%d\n", network->input_size); fprintf(save_file, "%d\n", network->hidden_size); fprintf(save_file, "%d\n", network->output_size); // close the file fclose(save_file); // save first layer matrix_save(network->bias_1, file_name); matrix_save(network->weights_1, file_name); // save second layer matrix_save(network->bias_2, file_name); matrix_save(network->weights_2, file_name); // save third layer matrix_save(network->bias_3, file_name); matrix_save(network->weights_3, file_name); // save output weights matrix_save(network->bias_output, file_name); matrix_save(network->weights_output, file_name); printf("Network Saved!"); } Neural_Network* load_network(char* file) { // create file pointer and open file FILE* save_file = fopen(file, "r"); // check if file could be opened if(save_file == NULL) { printf("ERROR: File could not be opened/found! (load_network)"); exit(1); } // read & store the information on the size of the network from the save file char buffer[MAX_BYTES]; fgets(buffer, MAX_BYTES, save_file); int input_size = (int) strtol(buffer, NULL, 10); fgets(buffer, MAX_BYTES, save_file); int hidden_size = (int) strtol(buffer, NULL, 10); fgets(buffer, MAX_BYTES, save_file); int output_size = (int) strtol(buffer, NULL, 10); // create a new network to fill with the saved data Neural_Network* saved_network = new_network(input_size, hidden_size, output_size, 0); // load matrices from file into struct saved_network->bias_1 = load_next_matrix(save_file); saved_network->weights_1 = load_next_matrix(save_file); saved_network->bias_2 = load_next_matrix(save_file); saved_network->weights_2 = load_next_matrix(save_file); saved_network->bias_3 = load_next_matrix(save_file); saved_network->weights_3 = load_next_matrix(save_file); saved_network->bias_output = load_next_matrix(save_file); saved_network->weights_output = load_next_matrix(save_file); // return saved network fclose(save_file); return saved_network; } void print_network(Neural_Network* network) { matrix_print(network->bias_1); matrix_print(network->bias_2); matrix_print(network->bias_3); matrix_print(network->bias_output); matrix_print(network->weights_1); matrix_print(network->weights_2); matrix_print(network->weights_3); matrix_print(network->weights_output); } double measure_network_accuracy(Neural_Network* network, Image** images, int amount) { int num_correct = 0; for (int i = 0; i < amount; i++) { Matrix* prediction = predict_image(network, images[i]); if (matrix_argmax(prediction) == images[i]->label) { num_correct++; } matrix_free(prediction); } return ((double) num_correct) / amount; } Matrix* predict_image(Neural_Network* network, Image* image){ Matrix* image_data = matrix_flatten(image->pixel_values, 0); Matrix* res = predict(network, image_data); matrix_free(image_data); return res; } Matrix* predict(Neural_Network* network, Matrix* image_data) { Matrix* h1_dot = dot(network->weights_1, image_data); Matrix* h1_add = add(h1_dot, network->bias_1); Matrix* h1_outputs = apply(sigmoid, h1_add); Matrix* h2_dot = dot(network->weights_2, h1_outputs); Matrix* h2_add = add(h2_dot, network->bias_2); Matrix* h2_outputs = apply(sigmoid, h2_add); Matrix* h3_dot = dot(network->weights_3, h2_outputs); Matrix* h3_add = add(h3_dot, network->bias_3); Matrix* h3_outputs = apply(sigmoid, h3_add); Matrix* final_dot = dot(network->weights_output, h3_outputs); Matrix* final_add = add(final_dot, network->bias_output); Matrix* final_outputs = apply(sigmoid, final_add); matrix_free(h1_dot); matrix_free(h1_add); matrix_free(h1_outputs); matrix_free(h2_dot); matrix_free(h2_add); matrix_free(h2_outputs); matrix_free(h3_dot); matrix_free(h3_add); matrix_free(h3_outputs); matrix_free(final_dot); matrix_free(final_add); return final_outputs; } void train_network(Neural_Network* network, Image *image, int label) { // Flatten the image into matrix Matrix* input = matrix_flatten(image->pixel_values, 0); // Perform forward propagation Matrix* h1_dot = dot(network->weights_1, input); Matrix* h1_add = add(h1_dot, network->bias_1); Matrix* h1_outputs = apply(sigmoid, h1_add); Matrix* h2_dot = dot(network->weights_2, h1_outputs); Matrix* h2_add = add(h2_dot, network->bias_2); Matrix* h2_outputs = apply(sigmoid, h2_add); Matrix* h3_dot = dot(network->weights_3, h2_outputs); Matrix* h3_add = add(h3_dot, network->bias_3); Matrix* h3_outputs = apply(sigmoid, h3_add); Matrix* final_dot = dot(network->weights_output, h3_outputs); Matrix* final_add = add(final_dot, network->bias_output); Matrix* final_outputs = apply(sigmoid, final_add); // begin backpropagation // The output of this is equal to an array of the size (10, 1) where each element is the derivative of the sigmoid function // with the input of the neuron prior to the application of the activation function Matrix* matrix_filled_with_ones = matrix_create(final_outputs->rows, 1); matrix_fill(matrix_filled_with_ones, 1); Matrix* temp1 = subtract(matrix_filled_with_ones, final_outputs); Matrix* derivative_input = multiply(final_outputs, temp1); // * soll-ist // create label matrix, which indicates the correct output of the neural network Matrix* correct_output = matrix_create(final_outputs->rows, final_outputs->columns); matrix_fill(correct_output, 0); correct_output->numbers[label][0] = 1; // calculate the difference between what the value should be and what it actually is (MAYBE USE MES) Matrix* error_difference = subtract(final_outputs, correct_output); // * output ist minus output soll // multiply the derivative of the activation function with the input to the neuron Matrix* sigma1 = multiply(derivative_input, error_difference); // Calculate the delta for the weights Matrix* temp5 = transpose(h3_outputs); Matrix* temp6 = dot(sigma1, temp5); Matrix* weights_delta = scale(temp6, network->learning_rate); Matrix* bias_delta = scale(sigma1, network->learning_rate); Matrix* temp7 = add(network->weights_output, weights_delta); for (int i = 0; i < network->weights_output->rows; ++i) { for (int j = 0; j < network->weights_output->columns; ++j) { network->weights_output->numbers[i][j] = temp7->numbers[i][j]; } } // Matrix* temp8 = add(network->bias_output, bias_delta); // for (int i = 0; i < network->bias_output->rows; ++i) { // for (int j = 0; j < network->bias_output->columns; ++j) { // network->bias_output->numbers[i][j] = temp8->numbers[i][j]; // } // } // other levels Matrix* sigma2 = backPropagation(network->learning_rate, network->weights_3, network->bias_3, h3_outputs, h2_outputs, sigma1); Matrix* sigma3 = backPropagation(network->learning_rate, network->weights_2, network->bias_2, h2_outputs, h1_outputs, sigma2); Matrix* sigma4 = backPropagation(network->learning_rate, network->weights_1, network->bias_1, h1_outputs, input, sigma3); matrix_free(input); matrix_free(h1_dot); matrix_free(h1_add); matrix_free(h1_outputs); matrix_free(h2_dot); matrix_free(h2_add); matrix_free(h2_outputs); matrix_free(h3_dot); matrix_free(h3_add); matrix_free(h3_outputs); matrix_free(final_dot); matrix_free(final_add); matrix_free(final_outputs); matrix_free(weights_delta); matrix_free(bias_delta); matrix_free(sigma1); matrix_free(sigma2); matrix_free(sigma3); matrix_free(sigma4); matrix_free(temp1); matrix_free(derivative_input); matrix_free(correct_output); matrix_free(error_difference); matrix_free(temp5); matrix_free(temp6); matrix_free(temp7); // matrix_free(temp8); matrix_free(matrix_filled_with_ones); } Matrix * backPropagation(double learning_rate, Matrix* weights, Matrix* biases, Matrix* current_layer_activation, Matrix* previous_layer_activation, Matrix* sigma_old) { Matrix* temp7 = matrix_create(current_layer_activation->rows, 1); matrix_fill(temp7, 1); Matrix* temp1 = subtract(temp7, current_layer_activation); Matrix* temp2 = multiply(temp1, current_layer_activation); // *sum(delta*weights) for(int i = 0; i < current_layer_activation->rows; i++) { double sum = 0; for (int j = 0; j < sigma_old->rows; j++) { sum += current_layer_activation->numbers[i][j] * sigma_old->numbers[j][0]; } temp1->numbers[i][0] = sum; } Matrix* sigma_new = multiply(temp2, temp1); // new sigma done Matrix* temp3 = transpose(previous_layer_activation); Matrix* temp4 = dot(sigma_new, temp3); Matrix* weights_delta = scale(temp4, learning_rate); Matrix* bias_delta = scale(sigma_new, learning_rate); Matrix* temp5 = add(weights, weights_delta); for (int i = 0; i < weights->rows; ++i) { for (int j = 0; j < weights->columns; ++j) { weights->numbers[i][j] = temp5->numbers[i][j]; } } // Matrix* temp6 = add(biases, bias_delta); // for (int i = 0; i < biases->rows; ++i) { // for (int j = 0; j < biases->columns; ++j) { // biases->numbers[i][j] = temp6->numbers[i][j]; // } // } matrix_free(temp1); matrix_free(temp2); matrix_free(temp3); matrix_free(temp4); matrix_free(temp5); // matrix_free(temp6); matrix_free(temp7); matrix_free(weights_delta); matrix_free(bias_delta); return sigma_new; } double sigmoid(double input) { return 1.0 / (1 + exp(-1 * input)); } double square(double input) { return input * input; }