From 19f5a778458de60f57eb319f8d8e0b904e1f0d03 Mon Sep 17 00:00:00 2001
From: Ghost_Element <danieldw@edu.aau.at>
Date: Sat, 23 Sep 2023 20:43:50 +0200
Subject: [PATCH 1/7] mathematics, yay

---
 neuronal_network.c | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/neuronal_network.c b/neuronal_network.c
index fdcd032..3bf97e7 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -276,7 +276,7 @@ void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int in
 
     for (int i = 0; i < delta_weights_matrix->rows; i++) {
         for (int j = 0; j < delta_weights_matrix->columns; j++) {
-            network->weights[index]->numbers[i][j] += delta_weights_matrix->numbers[i][j];
+            network->weights[index]->numbers[i][j] += delta_weights_matrix->numbers[i][j]; // multiply delta_weights_matrix with learning rate AND - instead of + because soll-ist
         }
     }
 }

From 2cf75cc1ac3a4f77cee8d14da0917c611bbb985e Mon Sep 17 00:00:00 2001
From: Thomas <thschleicher@edu.aau.at>
Date: Sat, 23 Sep 2023 20:44:13 +0200
Subject: [PATCH 2/7] batch train

---
 neuronal_network.c | 41 +++++++++++++++++++++++++++++++++++++++--
 neuronal_network.h |  2 +-
 2 files changed, 40 insertions(+), 3 deletions(-)

diff --git a/neuronal_network.c b/neuronal_network.c
index fdcd032..b3d2f21 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -160,7 +160,43 @@ Matrix* predict(Neural_Network* network, Matrix* image_data) {
     return output[network->hidden_amount];
 }
 
-void train_network(Neural_Network* network, Image *image, int label) {
+void batch_train(Neural_Network* network, Image** images, int amount, int batch_size) {
+
+    for (int i = 0; i < amount; ++i) {
+
+        Matrix* batch_weights[network->hidden_amount + 1];
+
+        for (int j = 0; j < batch_size; ++j) {
+            Matrix** delta_weights = train_network(network, images[i], images[i]->label);
+
+            for (int k = 0; k < network->hidden_amount + 1; k++) {
+                if(j == 0) {
+                    batch_weights[k] = delta_weights[k];
+                    continue;
+                }
+
+                Matrix* temp_result = add(batch_weights[k], delta_weights[k]);
+
+                matrix_free(batch_weights[k]);
+                matrix_free(delta_weights[k]);
+
+                batch_weights[k] = temp_result;
+            }
+
+            free(delta_weights);
+        }
+
+        for (int j = 0; j < network->hidden_amount + 1; ++j) {
+            Matrix* average_delta_weight = scale(batch_weights[j], (1.0 / batch_size));
+            apply_weights(network, average_delta_weight, j);
+
+            matrix_free(average_delta_weight);
+            matrix_free(batch_weights[j]);
+        }
+    }
+}
+
+Matrix ** train_network(Neural_Network* network, Image *image, int label) {
 
     Matrix* image_data = matrix_flatten(image->pixel_values, 0);
     Matrix* input = matrix_add_bias(image_data);
@@ -181,7 +217,7 @@ void train_network(Neural_Network* network, Image *image, int label) {
     // back propagation
 
     //list to store the new weights
-    Matrix* delta_weights[network->hidden_amount + 1];
+    Matrix** delta_weights = malloc(sizeof(Matrix*) * (network->hidden_amount + 1));
 
     // calculate the derivative of the sigmoid function of the input of the result layer
     Matrix* sigmoid_prime = sigmoid_derivative(output[network->hidden_amount]);
@@ -232,6 +268,7 @@ void train_network(Neural_Network* network, Image *image, int label) {
     matrix_free(delta);
     matrix_free(previous_delta);
 
+    return delta_weights;
 }
 
 Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output) {
diff --git a/neuronal_network.h b/neuronal_network.h
index c3f8248..c7f7db6 100644
--- a/neuronal_network.h
+++ b/neuronal_network.h
@@ -29,4 +29,4 @@ void print_network(Neural_Network* network);
 double measure_network_accuracy(Neural_Network* network, Image** images, int amount);
 Matrix* predict_image(Neural_Network* network, Image* image);
 
-void train_network(Neural_Network* network, Image *image, int label);
+Matrix ** train_network(Neural_Network* network, Image *image, int label);

From 45f39130c169eb5a930a857dbe97ec372bc919b5 Mon Sep 17 00:00:00 2001
From: Thomas <thschleicher@edu.aau.at>
Date: Sat, 23 Sep 2023 21:00:23 +0200
Subject: [PATCH 3/7] batch train

---
 main.c             |  9 ++-------
 neuronal_network.c | 22 +++++++++++++---------
 neuronal_network.h |  1 +
 3 files changed, 16 insertions(+), 16 deletions(-)

diff --git a/main.c b/main.c
index 434c38b..509ccd3 100644
--- a/main.c
+++ b/main.c
@@ -7,17 +7,12 @@ int main() {
     Image** images = import_images("../data/train-images.idx3-ubyte", "../data/train-labels.idx1-ubyte", NULL, 60000);
 //    img_visualize(images[0]);
 
-    Neural_Network* nn = new_network(28*28, 100, 5, 10, 0.01);
+    Neural_Network* nn = new_network(28*28, 32, 3, 10, 0.01);
     randomize_network(nn, 10);
     //    save_network(nn);
     //    Neural_Network* nn = load_network("../networks/test1.txt");
 
-    for (int i = 0; i < 60000; ++i) {
-        train_network(nn, images[i], images[i]->label);
-    }
-
-//    train_network(nn, images[0], images[0]->label);
-//    train_network(nn, images[0], images[0]->label);
+    batch_train(nn, images, 20000, 16);
 
     printf("%lf\n", measure_network_accuracy(nn, images, 10000));
 
diff --git a/neuronal_network.c b/neuronal_network.c
index 620b722..884ed92 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -7,7 +7,7 @@ double sigmoid(double input);
 Matrix* predict(Neural_Network* network, Matrix* image_data);
 double square(double input);
 Matrix* sigmoid_derivative(Matrix* matrix);
-Matrix* calculate_weights_delta(Matrix* previous_layer_output, Matrix* delta_matrix);
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate);
 void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index);
 Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output);
 
@@ -230,13 +230,13 @@ Matrix ** train_network(Neural_Network* network, Image *image, int label) {
     Matrix* delta = multiply(sigmoid_prime, error);
 
     //calculate and apply the delta for all weights in out-put layer
-    delta_weights[network->hidden_amount] = calculate_weights_delta(output[network->hidden_amount - 1], delta);
+    delta_weights[network->hidden_amount] = calculate_weights_delta(output[network->hidden_amount - 1], delta, network->learning_rate);
 
     //hidden layers
     Matrix* previous_delta = delta;
     for (int i = network->hidden_amount; i > 1; i--) {
         delta = calculate_delta_hidden(previous_delta, network->weights[i], output[i - 1]);
-        delta_weights[i - 1] = calculate_weights_delta(output[i - 2], delta);
+        delta_weights[i - 1] = calculate_weights_delta(output[i - 2], delta, network->learning_rate);
 
         matrix_free(previous_delta);
         previous_delta = delta;
@@ -244,7 +244,7 @@ Matrix ** train_network(Neural_Network* network, Image *image, int label) {
 
     // Input Layer
     delta = calculate_delta_hidden(previous_delta, network->weights[1], output[0]);
-    delta_weights[0] = calculate_weights_delta(image_data, delta);
+    delta_weights[0] = calculate_weights_delta(image_data, delta, network->learning_rate);
 
     for (int i = 0; i < network->hidden_amount + 1; ++i) {
         apply_weights(network, delta_weights[i], i);
@@ -258,9 +258,9 @@ Matrix ** train_network(Neural_Network* network, Image *image, int label) {
         matrix_free(output[i]);
     }
 
-    for (int i = 0; i < network->hidden_amount + 1; ++i) {
-        matrix_free(delta_weights[i]);
-    }
+//    for (int i = 0; i < network->hidden_amount + 1; ++i) {
+//        matrix_free(delta_weights[i]);
+//    }
 
     matrix_free(sigmoid_prime);
     matrix_free(wanted_output);
@@ -318,16 +318,20 @@ void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int in
     }
 }
 
-Matrix* calculate_weights_delta(Matrix* previous_layer_output, Matrix* delta_matrix) {
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate) {
 
     Matrix* previous_out_with_one = matrix_add_bias(previous_layer_output);
     Matrix* transposed_previous_out_with_bias = transpose(previous_out_with_one);
     Matrix* weights_delta_matrix = dot(delta_matrix, transposed_previous_out_with_bias);
 
+    // scale by learning rate
+    Matrix* result = scale(weights_delta_matrix, learning_rate);
+
     matrix_free(previous_out_with_one);
     matrix_free(transposed_previous_out_with_bias);
+    matrix_free(weights_delta_matrix);
 
-    return weights_delta_matrix;
+    return result;
 }
 
 Matrix* sigmoid_derivative(Matrix* matrix) {
diff --git a/neuronal_network.h b/neuronal_network.h
index c7f7db6..c4adc43 100644
--- a/neuronal_network.h
+++ b/neuronal_network.h
@@ -26,6 +26,7 @@ Neural_Network* load_network(char* file);
 
 void print_network(Neural_Network* network);
 
+void batch_train(Neural_Network* network, Image** images, int amount, int batch_size);
 double measure_network_accuracy(Neural_Network* network, Image** images, int amount);
 Matrix* predict_image(Neural_Network* network, Image* image);
 

From accb195dd9e4e367d9942c859b2863b9a1f334a9 Mon Sep 17 00:00:00 2001
From: Thomas <thschleicher@edu.aau.at>
Date: Sat, 23 Sep 2023 21:33:51 +0200
Subject: [PATCH 4/7] test

---
 image.c            |  1 -
 main.c             | 16 ++++++--
 neuronal_network.c | 95 ++++++++++++++++++++++++++--------------------
 neuronal_network.h |  2 +-
 4 files changed, 67 insertions(+), 47 deletions(-)

diff --git a/image.c b/image.c
index 11d7340..bc8417b 100644
--- a/image.c
+++ b/image.c
@@ -90,7 +90,6 @@ Image** import_images(char* image_file_string, char* label_file_string, int* _nu
     fread(word_buffer, 4, 1, label_file);
     big_endian_to_c_uint(word_buffer, &label_count, buffer_size);
 
-
     //Read description of file
     fread(word_buffer, 4, 1, image_file);
     big_endian_to_c_uint(word_buffer, &magic_number_images, buffer_size);
diff --git a/main.c b/main.c
index 509ccd3..9cccbaa 100644
--- a/main.c
+++ b/main.c
@@ -6,14 +6,22 @@
 int main() {
     Image** images = import_images("../data/train-images.idx3-ubyte", "../data/train-labels.idx1-ubyte", NULL, 60000);
 //    img_visualize(images[0]);
+//    img_visualize(images[1]);
 
-    Neural_Network* nn = new_network(28*28, 32, 3, 10, 0.01);
-    randomize_network(nn, 10);
+//    matrix_print(images[0]->pixel_values);
+//    matrix_print(images[1]->pixel_values);
+
+    Neural_Network* nn = new_network(28*28, 32, 2, 10, 0.1);
+    randomize_network(nn, 1);
     //    save_network(nn);
     //    Neural_Network* nn = load_network("../networks/test1.txt");
 
-    batch_train(nn, images, 20000, 16);
+//    batch_train(nn, images, 20000, 20);
 
-    printf("%lf\n", measure_network_accuracy(nn, images, 10000));
+    for (int i = 0; i < 1000; ++i) {
+        train_network(nn, images[i], images[i]->label);
+    }
+
+    printf("%lf\n", measure_network_accuracy(nn, images, 10));
 
 }
\ No newline at end of file
diff --git a/neuronal_network.c b/neuronal_network.c
index 884ed92..d4b9e30 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -117,11 +117,20 @@ void print_network(Neural_Network* network) {
 
 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) {
+
+        matrix_print(prediction);
+        printf("Label: %c\n", images[i]->label);
+
+        int guess = matrix_argmax(prediction);
+        int answer = (unsigned char) images[i]->label;
+
+        if (guess == answer) {
             num_correct++;
         }
+
         matrix_free(prediction);
     }
     return ((double) num_correct) / amount;
@@ -160,43 +169,47 @@ Matrix* predict(Neural_Network* network, Matrix* image_data) {
     return output[network->hidden_amount];
 }
 
-void batch_train(Neural_Network* network, Image** images, int amount, int batch_size) {
+//void batch_train(Neural_Network* network, Image** images, int amount, int batch_size) {
+//
+//    for (int i = 0; i < amount; ++i) {
+//
+//        if(amount % 1000 == 0) {
+//            printf("1k pics!\n");
+//        }
+//
+//        Matrix* batch_weights[network->hidden_amount + 1];
+//
+//        for (int j = 0; j < batch_size; ++j) {
+//            Matrix** delta_weights = train_network(network, images[i], images[i]->label);
+//
+//            for (int k = 0; k < network->hidden_amount + 1; k++) {
+//                if(j == 0) {
+//                    batch_weights[k] = delta_weights[k];
+//                    continue;
+//                }
+//
+//                Matrix* temp_result = add(batch_weights[k], delta_weights[k]);
+//
+//                matrix_free(batch_weights[k]);
+//                matrix_free(delta_weights[k]);
+//
+//                batch_weights[k] = temp_result;
+//            }
+//
+//            free(delta_weights);
+//        }
+//
+//        for (int j = 0; j < network->hidden_amount + 1; ++j) {
+//            Matrix* average_delta_weight = scale(batch_weights[j], (1.0 / batch_size));
+//            apply_weights(network, average_delta_weight, j);
+//
+//            matrix_free(average_delta_weight);
+//            matrix_free(batch_weights[j]);
+//        }
+//    }
+//}
 
-    for (int i = 0; i < amount; ++i) {
-
-        Matrix* batch_weights[network->hidden_amount + 1];
-
-        for (int j = 0; j < batch_size; ++j) {
-            Matrix** delta_weights = train_network(network, images[i], images[i]->label);
-
-            for (int k = 0; k < network->hidden_amount + 1; k++) {
-                if(j == 0) {
-                    batch_weights[k] = delta_weights[k];
-                    continue;
-                }
-
-                Matrix* temp_result = add(batch_weights[k], delta_weights[k]);
-
-                matrix_free(batch_weights[k]);
-                matrix_free(delta_weights[k]);
-
-                batch_weights[k] = temp_result;
-            }
-
-            free(delta_weights);
-        }
-
-        for (int j = 0; j < network->hidden_amount + 1; ++j) {
-            Matrix* average_delta_weight = scale(batch_weights[j], (1.0 / batch_size));
-            apply_weights(network, average_delta_weight, j);
-
-            matrix_free(average_delta_weight);
-            matrix_free(batch_weights[j]);
-        }
-    }
-}
-
-Matrix ** train_network(Neural_Network* network, Image *image, int label) {
+void train_network(Neural_Network* network, Image *image, int label) {
 
     Matrix* image_data = matrix_flatten(image->pixel_values, 0);
     Matrix* input = matrix_add_bias(image_data);
@@ -258,9 +271,9 @@ Matrix ** train_network(Neural_Network* network, Image *image, int label) {
         matrix_free(output[i]);
     }
 
-//    for (int i = 0; i < network->hidden_amount + 1; ++i) {
-//        matrix_free(delta_weights[i]);
-//    }
+    for (int i = 0; i < network->hidden_amount + 1; ++i) {
+        matrix_free(delta_weights[i]);
+    }
 
     matrix_free(sigmoid_prime);
     matrix_free(wanted_output);
@@ -268,7 +281,7 @@ Matrix ** train_network(Neural_Network* network, Image *image, int label) {
     matrix_free(delta);
     matrix_free(previous_delta);
 
-    return delta_weights;
+//    return delta_weights;
 }
 
 Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output) {
diff --git a/neuronal_network.h b/neuronal_network.h
index c4adc43..a2db05f 100644
--- a/neuronal_network.h
+++ b/neuronal_network.h
@@ -30,4 +30,4 @@ void batch_train(Neural_Network* network, Image** images, int amount, int batch_
 double measure_network_accuracy(Neural_Network* network, Image** images, int amount);
 Matrix* predict_image(Neural_Network* network, Image* image);
 
-Matrix ** train_network(Neural_Network* network, Image *image, int label);
+void train_network(Neural_Network* network, Image *image, int label);

From 411e4db3dbda7de2eec7612ac8a03adc1f31c1e9 Mon Sep 17 00:00:00 2001
From: Thomas Schleicher <thscleicher@edu.aau.at>
Date: Sat, 23 Sep 2023 22:01:22 +0200
Subject: [PATCH 5/7] final changes

---
 main.c             |    12 +-
 networks/89.txt    | 44872 ++++++++++++++++++++++++++++++
 networks/90.txt    | 63384 +++++++++++++++++++++++++++++++++++++++++++
 networks/test1.txt |    45 -
 neuronal_network.c |    10 +-
 5 files changed, 108264 insertions(+), 59 deletions(-)
 create mode 100644 networks/89.txt
 create mode 100644 networks/90.txt
 delete mode 100644 networks/test1.txt

diff --git a/main.c b/main.c
index 9cccbaa..9b1a5d5 100644
--- a/main.c
+++ b/main.c
@@ -11,17 +11,19 @@ int main() {
 //    matrix_print(images[0]->pixel_values);
 //    matrix_print(images[1]->pixel_values);
 
-    Neural_Network* nn = new_network(28*28, 32, 2, 10, 0.1);
+    Neural_Network* nn = new_network(28*28, 40, 5, 10, 0.08);
     randomize_network(nn, 1);
-    //    save_network(nn);
-    //    Neural_Network* nn = load_network("../networks/test1.txt");
+//        Neural_Network* nn = load_network("../networks/newest_network.txt");
+//    printf("Done loading!\n");
 
 //    batch_train(nn, images, 20000, 20);
 
-    for (int i = 0; i < 1000; ++i) {
+    for (int i = 0; i < 30000; ++i) {
         train_network(nn, images[i], images[i]->label);
     }
 
-    printf("%lf\n", measure_network_accuracy(nn, images, 10));
+    save_network(nn);
+
+    printf("%lf\n", measure_network_accuracy(nn, images, 10000));
 
 }
\ No newline at end of file
diff --git a/networks/89.txt b/networks/89.txt
new file mode 100644
index 0000000..b66afe0
--- /dev/null
+++ b/networks/89.txt
@@ -0,0 +1,44872 @@
+784
+50
+3
+10
+50
+785
+-0.8010979982
+0.2885000000
+-0.6292000000
+-0.6309000000
+0.9751000000
+0.4974000000
+-0.8810000000
+-0.9852000000
+0.6437000000
+-0.9615000000
+-0.5545000000
+-0.1550000000
+-0.9978000000
+-0.8004799144
+0.0612443350
+0.8003282680
+-0.9959863222
+0.8060000000
+-0.3153000000
+0.9336000000
+-0.3014000000
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+-0.5580000000
+-0.3529000000
+-0.0105000000
+0.1098000000
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+0.6425000000
+-0.9351000000
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+-0.4016000000
+0.8245000000
+0.0525000000
+0.9440593425
+-0.0671058551
+-0.8769027333
+0.7703223025
+0.2336191842
+0.5339890123
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+-0.9057392446
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+-0.1715550535
+0.4877989282
+-0.8458476589
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+0.7447795459
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+-0.8570643803
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+0.5500000000
+0.9335000000
+0.2758000000
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+-0.7029000000
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+0.1143000000
+0.5389000717
+-0.1525980404
+0.5596694915
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diff --git a/networks/90.txt b/networks/90.txt
new file mode 100644
index 0000000..56c3e9d
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+0.6141776356
+-1.2046317631
+0.6185899949
+-1.2293410739
+-0.5423717974
+0.9428774821
+-0.6456805466
diff --git a/networks/test1.txt b/networks/test1.txt
deleted file mode 100644
index b7dcddf..0000000
--- a/networks/test1.txt
+++ /dev/null
@@ -1,45 +0,0 @@
-4
-2
-3
-2
-1
--0.2195067977
--0.1657067977
-2
-4
-0.0297932023
-0.0289932023
--0.2106067977
--0.0132067977
--0.1003067977
--0.0923067977
--0.1315067977
-0.1174932023
-2
-1
--0.0374067977
-0.1903932023
-2
-2
--0.1219067977
--0.1745067977
-0.0758932023
-0.0761932023
-2
-1
--0.0955067977
-0.0071932023
-2
-2
--0.1881067977
--0.1272067977
--0.1149067977
--0.1048067977
-3
-2
-0.1665932023
--0.2083067977
--0.1944067977
-0.1201932023
-0.1768932023
--0.1408067977
diff --git a/neuronal_network.c b/neuronal_network.c
index d4b9e30..1c58018 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -5,7 +5,6 @@
 
 double sigmoid(double input);
 Matrix* predict(Neural_Network* network, Matrix* image_data);
-double square(double input);
 Matrix* sigmoid_derivative(Matrix* matrix);
 Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate);
 void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index);
@@ -72,7 +71,7 @@ void save_network(Neural_Network* network) {
         matrix_save(network->weights[i], file_name);
     }
 
-    printf("Network Saved!");
+    printf("Network Saved!\n");
 }
 
 Neural_Network* load_network(char* file) {
@@ -121,9 +120,6 @@ double measure_network_accuracy(Neural_Network* network, Image** images, int amo
     for (int i = 0; i < amount; i++) {
         Matrix* prediction = predict_image(network, images[i]);
 
-        matrix_print(prediction);
-        printf("Label: %c\n", images[i]->label);
-
         int guess = matrix_argmax(prediction);
         int answer = (unsigned char) images[i]->label;
 
@@ -361,8 +357,4 @@ Matrix* sigmoid_derivative(Matrix* matrix) {
 
 double sigmoid(double input) {
     return 1.0 / (1 + exp(-1 * input));
-}
-
-double square(double input) {
-    return input * input;
 }
\ No newline at end of file

From f836c53711e9e8bd42939d63153b21f90f5f1c50 Mon Sep 17 00:00:00 2001
From: Thomas <thschleicher@edu.aau.at>
Date: Sun, 24 Sep 2023 11:54:55 +0200
Subject: [PATCH 6/7] Clean up (before drastic refactoring)

---
 CMakeLists.txt              |  2 +-
 image.c => image/image.c    |  8 ++---
 image.h => image/image.h    |  4 +--
 main.c                      | 14 ++++----
 matrix.c => matrix/matrix.c | 10 ------
 matrix.h => matrix/matrix.h | 13 ++-----
 matrix/operations.c         |  1 +
 matrix/operations.h         |  1 +
 neuronal_network.c          | 71 +++++++++++++++++++++----------------
 neuronal_network.h          |  4 +--
 10 files changed, 61 insertions(+), 67 deletions(-)
 rename image.c => image/image.c (97%)
 rename image.h => image/image.h (93%)
 rename matrix.c => matrix/matrix.c (98%)
 rename matrix.h => matrix/matrix.h (67%)
 create mode 100644 matrix/operations.c
 create mode 100644 matrix/operations.h

diff --git a/CMakeLists.txt b/CMakeLists.txt
index 461b2a6..5816779 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -3,5 +3,5 @@ project(c_net C)
 
 set(CMAKE_C_STANDARD 11)
 
-add_executable(c_net main.c matrix.c image.c neuronal_network.c util.c util.h)
+add_executable(c_net main.c matrix/matrix.c image/image.c neuronal_network.c util.c matrix/operations.c)
 target_link_libraries(c_net m)
diff --git a/image.c b/image/image.c
similarity index 97%
rename from image.c
rename to image/image.c
index bc8417b..fb1cdfc 100644
--- a/image.c
+++ b/image/image.c
@@ -2,8 +2,8 @@
 #include <stdlib.h>
 
 #include "image.h"
-#include "matrix.h"
-#include "util.h"
+#include "../matrix/matrix.h"
+#include "../util.h"
 
 void big_endian_to_c_uint(const char * bytes, void * target, int size) {
     char* helper = (char*)target;
@@ -68,8 +68,8 @@ Image * load_pgm_image(char * image_file_string){
 Image** import_images(char* image_file_string, char* label_file_string, int* _number_imported, int count) {
     printf("Loading Images\n");
     // create file pointer for the image and label data
-    FILE* image_file = fopen(image_file_string, "r");
-    FILE* label_file = fopen(label_file_string, "r");
+    FILE* image_file = fopen(image_file_string, "rb");
+    FILE* label_file = fopen(label_file_string, "rb");
 
     // check if the file could be opened
     if(image_file == NULL || label_file == NULL) {
diff --git a/image.h b/image/image.h
similarity index 93%
rename from image.h
rename to image/image.h
index 6d3caeb..5baa9dd 100644
--- a/image.h
+++ b/image/image.h
@@ -1,7 +1,7 @@
 #pragma once
-#include "matrix.h"
+#include "../matrix/matrix.h"
 
-#include "matrix.h"
+#include "../matrix/matrix.h"
 
 typedef struct {
     Matrix* pixel_values;
diff --git a/main.c b/main.c
index 9b1a5d5..98195fd 100644
--- a/main.c
+++ b/main.c
@@ -1,6 +1,6 @@
 #include <stdio.h>
 
-#include "image.h"
+#include "image/image.h"
 #include "neuronal_network.h"
 
 int main() {
@@ -11,18 +11,18 @@ int main() {
 //    matrix_print(images[0]->pixel_values);
 //    matrix_print(images[1]->pixel_values);
 
-    Neural_Network* nn = new_network(28*28, 40, 5, 10, 0.08);
+    Neural_Network* nn = new_network(28*28, 50, 3, 10, 0.1);
     randomize_network(nn, 1);
 //        Neural_Network* nn = load_network("../networks/newest_network.txt");
-//    printf("Done loading!\n");
 
-//    batch_train(nn, images, 20000, 20);
-
-    for (int i = 0; i < 30000; ++i) {
+    for (int i = 0; i < 60000; ++i) {
         train_network(nn, images[i], images[i]->label);
     }
 
-    save_network(nn);
+//    batch_train(nn, images, 30000, 2);
+    printf("Trinaing Done!\n");
+
+//    save_network(nn);
 
     printf("%lf\n", measure_network_accuracy(nn, images, 10000));
 
diff --git a/matrix.c b/matrix/matrix.c
similarity index 98%
rename from matrix.c
rename to matrix/matrix.c
index ba7c258..84e07e9 100644
--- a/matrix.c
+++ b/matrix/matrix.c
@@ -249,16 +249,6 @@ Matrix* transpose(Matrix* matrix) {
 
 }
 
-double matrix_sum(Matrix* matrix) {
-    double sum = 0;
-    for (int i = 0; i < matrix->rows; i++) {
-        for (int j = 0; j < matrix->columns; j++) {
-            sum += matrix->numbers[i][j];
-        }
-    }
-    return sum;
-}
-
 void matrix_save(Matrix* matrix, char* file_string){
 
     // open the file in append mode
diff --git a/matrix.h b/matrix/matrix.h
similarity index 67%
rename from matrix.h
rename to matrix/matrix.h
index 2e0e5a9..022a8b8 100644
--- a/matrix.h
+++ b/matrix/matrix.h
@@ -8,7 +8,6 @@ typedef struct {
 
 static const int scaling_value = 10000;
 
-// operational functions
 Matrix* matrix_create(int rows, int columns);
 void matrix_fill(Matrix* matrix, double value);
 void matrix_free(Matrix* matrix);
@@ -18,18 +17,11 @@ void matrix_save(Matrix* matrix, char* file_string);
 Matrix* matrix_load(char* file_string);
 Matrix* load_next_matrix(FILE * save_file);
 
-void matrix_randomize(Matrix* matrix, int n); // don't understand the usage of the n
+void matrix_randomize(Matrix* matrix, int n);
 int matrix_argmax(Matrix* matrix);
 Matrix* matrix_flatten(Matrix* matrix, int axis);
 Matrix* matrix_add_bias(Matrix* matrix);
 
-/*
- * These methods won't change or free the input matrix.
- * It creates a new matrix, which is modified and then returned.
- * If we don't need the original matrix, we should consider just changing the original matrix and changing the method signature to void.
- */
-
-// mathematical functions
 Matrix* multiply(Matrix* matrix1, Matrix* matrix2);
 Matrix* add(Matrix* matrix1, Matrix* matrix2);
 Matrix* subtract(Matrix* matrix1, Matrix* matrix2);
@@ -37,5 +29,4 @@ Matrix* dot(Matrix* matrix1, Matrix* matrix2);
 Matrix* apply(double (*function)(double), Matrix* matrix);
 Matrix* scale(Matrix* matrix, double value);
 Matrix* addScalar(Matrix* matrix, double value);
-Matrix* transpose(Matrix* matrix);
-double matrix_sum(Matrix* matrix);
\ No newline at end of file
+Matrix* transpose(Matrix* matrix);
\ No newline at end of file
diff --git a/matrix/operations.c b/matrix/operations.c
new file mode 100644
index 0000000..59147e1
--- /dev/null
+++ b/matrix/operations.c
@@ -0,0 +1 @@
+#include "operations.h"
diff --git a/matrix/operations.h b/matrix/operations.h
new file mode 100644
index 0000000..0d415b5
--- /dev/null
+++ b/matrix/operations.h
@@ -0,0 +1 @@
+#include "matrix.h"
\ No newline at end of file
diff --git a/neuronal_network.c b/neuronal_network.c
index 1c58018..c1d5468 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -6,8 +6,8 @@
 double sigmoid(double input);
 Matrix* predict(Neural_Network* network, Matrix* image_data);
 Matrix* sigmoid_derivative(Matrix* matrix);
-Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate);
-void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index);
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix);
+void apply_weights(Neural_Network *network, Matrix *delta_weights_matrix, int index, double learning_rate);
 Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output);
 
 Neural_Network* new_network(int input_size, int hidden_size, int hidden_amount, int output_size, double learning_rate){
@@ -167,22 +167,26 @@ Matrix* predict(Neural_Network* network, Matrix* image_data) {
 
 //void batch_train(Neural_Network* network, Image** images, int amount, int batch_size) {
 //
-//    for (int i = 0; i < amount; ++i) {
+//    if(amount % batch_size != 0) {
+//        printf("ERROR: Batch Size is not compatible with image amount! (batch_train)");
+//        exit(1);
+//    }
 //
-//        if(amount % 1000 == 0) {
-//            printf("1k pics!\n");
-//        }
+//    int image_index = 0;
+//
+//    for (int i = 0; i < amount / batch_size; ++i) {
 //
 //        Matrix* batch_weights[network->hidden_amount + 1];
 //
+//        for (int j = 0; j < network->hidden_amount + 1; j++) {
+//            batch_weights[j] = matrix_create(network->weights[j]->rows, network->weights[j]->columns);
+//            matrix_fill(batch_weights[j], 0);
+//        }
+//
 //        for (int j = 0; j < batch_size; ++j) {
-//            Matrix** delta_weights = train_network(network, images[i], images[i]->label);
+//            Matrix** delta_weights = train_network(network, images[image_index], images[image_index]->label);
 //
 //            for (int k = 0; k < network->hidden_amount + 1; k++) {
-//                if(j == 0) {
-//                    batch_weights[k] = delta_weights[k];
-//                    continue;
-//                }
 //
 //                Matrix* temp_result = add(batch_weights[k], delta_weights[k]);
 //
@@ -193,14 +197,16 @@ Matrix* predict(Neural_Network* network, Matrix* image_data) {
 //            }
 //
 //            free(delta_weights);
+//
+//            image_index++;
 //        }
 //
-//        for (int j = 0; j < network->hidden_amount + 1; ++j) {
+//        for (int j = 0; j < network->hidden_amount + 1; j++) {
 //            Matrix* average_delta_weight = scale(batch_weights[j], (1.0 / batch_size));
-//            apply_weights(network, average_delta_weight, j);
+//            apply_weights(network, average_delta_weight, j, network->learning_rate);
 //
-//            matrix_free(average_delta_weight);
 //            matrix_free(batch_weights[j]);
+//            matrix_free(average_delta_weight);
 //        }
 //    }
 //}
@@ -239,13 +245,13 @@ void train_network(Neural_Network* network, Image *image, int label) {
     Matrix* delta = multiply(sigmoid_prime, error);
 
     //calculate and apply the delta for all weights in out-put layer
-    delta_weights[network->hidden_amount] = calculate_weights_delta(output[network->hidden_amount - 1], delta, network->learning_rate);
+    delta_weights[network->hidden_amount] = calculate_weights_delta(output[network->hidden_amount - 1], delta);
 
     //hidden layers
     Matrix* previous_delta = delta;
     for (int i = network->hidden_amount; i > 1; i--) {
         delta = calculate_delta_hidden(previous_delta, network->weights[i], output[i - 1]);
-        delta_weights[i - 1] = calculate_weights_delta(output[i - 2], delta, network->learning_rate);
+        delta_weights[i - 1] = calculate_weights_delta(output[i - 2], delta);
 
         matrix_free(previous_delta);
         previous_delta = delta;
@@ -253,10 +259,16 @@ void train_network(Neural_Network* network, Image *image, int label) {
 
     // Input Layer
     delta = calculate_delta_hidden(previous_delta, network->weights[1], output[0]);
-    delta_weights[0] = calculate_weights_delta(image_data, delta, network->learning_rate);
+    delta_weights[0] = calculate_weights_delta(image_data, delta);
+
+
+    // if you want to use this method as a standalone method this part needs to be uncommented
+    for (int i = 0; i < network->hidden_amount + 1; ++i) {
+        apply_weights(network, delta_weights[i], i, network->learning_rate);
+    }
 
     for (int i = 0; i < network->hidden_amount + 1; ++i) {
-        apply_weights(network, delta_weights[i], i);
+        matrix_free(delta_weights[i]);
     }
 
     // De-allocate stuff
@@ -267,9 +279,7 @@ void train_network(Neural_Network* network, Image *image, int label) {
         matrix_free(output[i]);
     }
 
-    for (int i = 0; i < network->hidden_amount + 1; ++i) {
-        matrix_free(delta_weights[i]);
-    }
+
 
     matrix_free(sigmoid_prime);
     matrix_free(wanted_output);
@@ -308,7 +318,7 @@ Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix
     return new_deltas;
 }
 
-void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index) {
+void apply_weights(Neural_Network *network, Matrix *delta_weights_matrix, int index, double learning_rate) {
 
     if(index > network->hidden_amount || index < 0) {
         printf("ERROR: Index out of range! (apply_weights)");
@@ -320,27 +330,28 @@ void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int in
         exit(1);
     }
 
+    // scale by learning rate
+    Matrix* scaled_delta_weights_matrix = scale(delta_weights_matrix, learning_rate);
+
     for (int i = 0; i < delta_weights_matrix->rows; i++) {
-        for (int j = 0; j < delta_weights_matrix->columns; j++) {
-            network->weights[index]->numbers[i][j] += delta_weights_matrix->numbers[i][j]; // multiply delta_weights_matrix with learning rate AND - instead of + because soll-ist
+        for (int j = 0; j < scaled_delta_weights_matrix->columns; j++) {
+            network->weights[index]->numbers[i][j] += scaled_delta_weights_matrix->numbers[i][j]; // multiply delta_weights_matrix with learning rate AND - instead of + because soll-ist
         }
     }
+
+    matrix_free(scaled_delta_weights_matrix);
 }
 
-Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate) {
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix) {
 
     Matrix* previous_out_with_one = matrix_add_bias(previous_layer_output);
     Matrix* transposed_previous_out_with_bias = transpose(previous_out_with_one);
     Matrix* weights_delta_matrix = dot(delta_matrix, transposed_previous_out_with_bias);
 
-    // scale by learning rate
-    Matrix* result = scale(weights_delta_matrix, learning_rate);
-
     matrix_free(previous_out_with_one);
     matrix_free(transposed_previous_out_with_bias);
-    matrix_free(weights_delta_matrix);
 
-    return result;
+    return weights_delta_matrix;
 }
 
 Matrix* sigmoid_derivative(Matrix* matrix) {
diff --git a/neuronal_network.h b/neuronal_network.h
index a2db05f..80a48a2 100644
--- a/neuronal_network.h
+++ b/neuronal_network.h
@@ -1,6 +1,6 @@
 
-#include "matrix.h"
-#include "image.h"
+#include "matrix/matrix.h"
+#include "image/image.h"
 
 typedef struct {
     int input_size;

From cf8b0a8b949edc00b929271c96170bf11a558690 Mon Sep 17 00:00:00 2001
From: Thomas <thschleicher@edu.aau.at>
Date: Sun, 24 Sep 2023 12:22:28 +0200
Subject: [PATCH 7/7] Clean up (1)

---
 image/image.c       |   3 +-
 image/image.h       |  15 +--
 main.c              |  61 ++++++++---
 matrix/matrix.c     | 255 +-------------------------------------------
 matrix/matrix.h     |  19 +---
 matrix/operations.c | 232 ++++++++++++++++++++++++++++++++++++++++
 matrix/operations.h |  26 ++++-
 neuronal_network.c  |   3 +-
 8 files changed, 312 insertions(+), 302 deletions(-)

diff --git a/image/image.c b/image/image.c
index fb1cdfc..419620d 100644
--- a/image/image.c
+++ b/image/image.c
@@ -159,7 +159,6 @@ Image** import_images(char* image_file_string, char* label_file_string, int* _nu
 }
 
 void img_print (Image* img) {
-
     //print the image
     matrix_print(img->pixel_values);
     //print the number of the image
@@ -183,7 +182,7 @@ void img_free (Image* img) {
     free(img);
 }
 
-void images_free (Image** images, int quantity){
+void images_free(Image** images, int quantity) {
     //frees every single image
     for(int i=0;i<quantity;i++){
         img_free(images[i]);
diff --git a/image/image.h b/image/image.h
index 5baa9dd..e1961aa 100644
--- a/image/image.h
+++ b/image/image.h
@@ -1,6 +1,3 @@
-#pragma once
-#include "../matrix/matrix.h"
-
 #include "../matrix/matrix.h"
 
 typedef struct {
@@ -14,19 +11,11 @@ typedef struct {
 } Image_Container;
 
 static const int MAGIC_NUMBER_LABEL = 2049;
-
 static const int MAGIC_NUMBER_IMAGES = 2051;
 
-/**
- * reads a specified number of images out of the training dataset
- * @param image_file_string Path to the file containing the image data
- * @param label_file_string Path to the file containing the image labels
- * @param ptr via this pointer, the images can be accessed
- * @param count maximum number of images to be loaded. If it is 0, all available images are loaded.
- * @return
- */
 Image ** import_images(char* image_file_string, char* label_file_string, int* number_imported, int count);
 Image * load_pgm_image(char * image_file_string);
 void img_print (Image* image);
 void img_visualize(Image*image);
-void img_free (Image* image);
\ No newline at end of file
+void img_free (Image* image);
+void images_free (Image** images, int quantity);
\ No newline at end of file
diff --git a/main.c b/main.c
index 98195fd..72cfe75 100644
--- a/main.c
+++ b/main.c
@@ -4,26 +4,61 @@
 #include "neuronal_network.h"
 
 int main() {
-    Image** images = import_images("../data/train-images.idx3-ubyte", "../data/train-labels.idx1-ubyte", NULL, 60000);
+
+    const int amount_of_images_to_load = 60000;
+    const int amount_of_images_used_to_train = 30000;
+    const int amount_of_images_used_to_test = 1000;
+    const int input_size = 28*28;
+    const int hidden_layer_size = 50;
+    const int hidden_layer_count = 3;
+    const double learning_rate = 0.1;
+
+    /*
+     * Loading Images from Dataset
+     */
+
+    Image** images = import_images("../data/train-images.idx3-ubyte", "../data/train-labels.idx1-ubyte", NULL, amount_of_images_to_load);
+
 //    img_visualize(images[0]);
-//    img_visualize(images[1]);
+//    img_print(images[0]);
 
-//    matrix_print(images[0]->pixel_values);
-//    matrix_print(images[1]->pixel_values);
+    /*
+     * Create a new network and randomize the weights
+     */
 
-    Neural_Network* nn = new_network(28*28, 50, 3, 10, 0.1);
-    randomize_network(nn, 1);
-//        Neural_Network* nn = load_network("../networks/newest_network.txt");
+    Neural_Network* network = new_network(input_size, hidden_layer_size, hidden_layer_count, 10, learning_rate);
+    randomize_network(network, 1);
 
-    for (int i = 0; i < 60000; ++i) {
-        train_network(nn, images[i], images[i]->label);
+    /*
+     * Training
+     */
+
+    for (int i = 0; i < amount_of_images_used_to_train; i++) {
+        train_network(network, images[i], images[i]->label);
     }
 
-//    batch_train(nn, images, 30000, 2);
+    // Batch training works if you change the train_network method, but the results are not that good (needs further testing)
+    // batch_train(nn, images, 30000, 2);
+
     printf("Trinaing Done!\n");
 
-//    save_network(nn);
+    /*
+     * Saving and Loading
+     */
 
-    printf("%lf\n", measure_network_accuracy(nn, images, 10000));
+//    save_network(network);
+//    Neural_Network* network = load_network("../networks/newest_network.txt");
 
-}
\ No newline at end of file
+    /*
+     * Measure Accuracy & predict single images
+     */
+
+    printf("Accuracy: %lf\n", measure_network_accuracy(network, images, amount_of_images_used_to_test));
+
+//    matrix_print(predict_image(network, images[0]));
+
+    images_free(images, amount_of_images_to_load);
+    free_network(network);
+
+    return 0;
+}
diff --git a/matrix/matrix.c b/matrix/matrix.c
index 84e07e9..bec2425 100644
--- a/matrix/matrix.c
+++ b/matrix/matrix.c
@@ -1,12 +1,9 @@
 #include "matrix.h"
 #include <stdlib.h>
 #include <stdio.h>
-#include <math.h>
-#include <time.h>
+
 #define MAX_BYTES 100
 
-static int RANDOMIZED = 0;
-// operational functions
 Matrix* matrix_create(int rows, int columns) {
 
     // allocate memory for the matrix
@@ -80,175 +77,6 @@ Matrix* matrix_copy(Matrix *matrix) {
     return copy_of_matrix;
 }
 
-// mathematical functions
-
-/*
- * These methods won't change or free the input matrix.
- * It creates a new matrix, which is modified and then returned.
- * If we don't need the original matrix, we should consider just changing the original matrix and changing the method signature to void.
- */
-
-Matrix* multiply(Matrix* matrix1, Matrix* matrix2) {
-
-    // check if the two matrices are of the same size
-    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
-        printf("ERROR: Size of matrices are not compatible! (Multiply)");
-        exit(1);
-    }
-
-    // create result matrix
-    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
-
-    // multiply the values and save them into the result matrix
-    for (int i = 0; i < matrix1->rows; i++) {
-        for (int j = 0; j < matrix1->columns; j++) {
-            result_matrix->numbers[i][j] = matrix1->numbers[i][j] * matrix2->numbers[i][j];
-        }
-    }
-
-    // return resulting matrix
-    return  result_matrix;
-}
-
-Matrix* add(Matrix* matrix1, Matrix* matrix2) {
-
-    // check if the two matrices are of the same size
-    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
-        printf("ERROR: Size of matrices are not compatible! (Add)");
-        exit(1);
-    }
-
-    // create result matrix
-    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
-
-    // add the value of the number in matrix 1 to the value of the number in matrix 2
-    for (int i = 0; i < matrix1->rows; i++) {
-        for (int j = 0; j < matrix1->columns; j++) {
-            result_matrix->numbers[i][j] = matrix1->numbers[i][j] + matrix2->numbers[i][j];
-        }
-    }
-
-    // return the result matrix
-    return result_matrix;
-}
-
-Matrix* subtract(Matrix* matrix1, Matrix* matrix2) {
-
-    // check if the two matrices are of the same size
-    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
-        printf("ERROR: Size of matrices are not compatible! (Subtract)");
-        exit(1);
-    }
-
-    // create result matrix
-    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
-
-    // subtract the value of the number in matrix 2 from the value of the number in matrix 1
-    for (int i = 0; i < matrix1->rows; i++) {
-        for (int j = 0; j < matrix1->columns; j++) {
-            result_matrix->numbers[i][j] = matrix1->numbers[i][j] - matrix2->numbers[i][j];
-        }
-    }
-
-    // return the resulting matrix
-    return result_matrix;
-}
-
-Matrix* dot(Matrix* matrix1, Matrix* matrix2) {
-
-    // check if the dimensions of the matrices are compatible to calculate the dot product
-    if(matrix1->columns != matrix2->rows) {
-        printf("ERROR: Size of matrices are not compatible! (Dot-Product)");
-        exit(1);
-    }
-
-    // create a new matrix with the dimensions of the dot product;
-    Matrix* result_matrix = matrix_create(matrix1->rows, matrix2->columns);
-
-    // iterate through all rows of matrix 1
-    for (int i = 0; i < matrix1->rows; i++) {
-
-        // iterate though all columns of matrix 2
-        for (int j = 0; j < matrix2->columns; j++) {
-
-            // sum up the products and save them into the result matrix
-            result_matrix->numbers[i][j] = 0;
-            for (int k = 0; k < matrix2->rows; k++) {
-                result_matrix->numbers[i][j] += matrix1->numbers[i][k] * matrix2->numbers[k][j];
-            }
-        }
-    }
-
-    // return result
-    return result_matrix;
-}
-
-Matrix* apply(double (*function)(double), Matrix* matrix) {
-
-    // create a new matrix used to calculate the result
-    Matrix* result_matrix = matrix_create(matrix->rows, matrix->columns);
-
-    // apply the function to all values in the matrix
-    for (int i = 0; i < matrix->rows; i++) {
-        for (int j = 0; j < matrix->columns; j++) {
-            result_matrix->numbers[i][j] = (*function)(matrix->numbers[i][j]);
-            int k = 0;
-        }
-    }
-
-    // return resulting matrix
-    return result_matrix;
-}
-
-Matrix* scale(Matrix* matrix, double value) {
-
-    // create a copy of the original matrix
-    Matrix* result_matrix = matrix_copy(matrix);
-
-    // iterate over all numbers in the matrix and multiply by the scalar value
-    for (int i = 0; i < result_matrix->rows; i++) {
-        for (int j = 0; j < result_matrix->columns; j++) {
-            result_matrix->numbers[i][j] *= value;
-        }
-    }
-
-    // return the copy
-    return result_matrix;
-}
-
-Matrix* addScalar(Matrix* matrix, double value) {
-
-    // create a copy of the original matrix
-    Matrix* result_matrix = matrix_copy(matrix);
-
-    // iterate over all numbers in the matrix and add the scalar value
-    for (int i = 0; i < result_matrix->rows; i++) {
-        for (int j = 0; j < result_matrix->columns; j++) {
-            result_matrix->numbers[i][j] += value;
-        }
-    }
-
-    // return the copy
-    return result_matrix;
-}
-
-Matrix* transpose(Matrix* matrix) {
-
-    // create a new matrix of the size n-m, based on the original matrix of size m-n
-    Matrix* result_matrix = matrix_create(matrix->columns, matrix->rows);
-
-    // copy the values from the original into the correct place in the copy
-    for (int i = 0; i < matrix->rows; i++) {
-        for (int j = 0; j < matrix->columns; j++) {
-            result_matrix->numbers[j][i] = matrix->numbers[i][j];
-        }
-    }
-
-    // return the result matrix
-    return result_matrix;
-
-}
-
 void matrix_save(Matrix* matrix, char* file_string){
 
     // open the file in append mode
@@ -308,85 +136,4 @@ Matrix* load_next_matrix(FILE *save_file){
         }
     }
     return matrix;
-}
-
-Matrix* matrix_flatten(Matrix* matrix, int axis) {
-    // Axis = 0 -> Column Vector, Axis = 1 -> Row Vector
-    Matrix* result_matrix;
-    // Column Vector
-    if (axis == 0) {
-        result_matrix = matrix_create(matrix -> rows * matrix -> columns, 1);
-    }
-    // Row Vector
-    else if (axis == 1) {
-        result_matrix = matrix_create(1, matrix -> rows * matrix -> columns);
-    } else {
-        printf("ERROR: Argument must be 1 or 0 (matrix_flatten)");
-        exit(EXIT_FAILURE);
-    }
-    for (int i = 0; i < matrix->rows; i++) {
-        for (int j = 0; j < matrix->columns; j++) {
-            if (axis == 0) result_matrix->numbers[i * matrix->columns + j][0] = matrix->numbers[i][j];
-            else if (axis == 1) result_matrix->numbers[0][i * matrix->columns + j] = matrix->numbers[i][j];
-        }
-    }
-    return result_matrix;
-}
-
-int matrix_argmax(Matrix* matrix) {
-    // Expects a Mx1 matrix
-    if (matrix->columns != 1){
-        printf("ERROR: Matrix is not Mx1 (matrix_argmax)");
-        exit(EXIT_FAILURE);
-    }
-
-    double max_value = 0;
-    int max_index = 0;
-
-    for (int i = 0; i < matrix->rows; i++) {
-        if (matrix->numbers[i][0] > max_value) {
-            max_value = matrix->numbers[i][0];
-            max_index = i;
-        }
-    }
-    return max_index;
-}
-
-void matrix_randomize(Matrix* matrix, int n) {
-
-    if(!RANDOMIZED){
-        srand(time(NULL));
-        RANDOMIZED = 1;
-    }
-    //make a min and max
-    double min = -1.0f / sqrt(n);
-    double max = 1.0f / sqrt(n);
-
-    //calculate difference
-    double difference = max - min;
-
-    //move decimal
-    int scaled_difference = (int)(difference * scaling_value);
-    
-    for (int i = 0; i < matrix->rows; i++) {
-        for (int j = 0; j < matrix->columns; j++) {
-            matrix->numbers[i][j] = min + (1.0 * (rand() % scaled_difference) / scaling_value);
-        }
-    }
-}
-
-Matrix* matrix_add_bias(Matrix* matrix) {
-    if(matrix->columns != 1) {
-        printf("ERROR: The size of the matrix does not match an input matrix! (matrix_add_bias)");
-        exit(1);
-    }
-
-    Matrix* result = matrix_create(matrix->rows + 1, matrix->columns);
-
-    result->numbers[0][0] = 1.0;
-    for (int i = 0; i < matrix->rows; ++i) {
-        result->numbers[i + 1][0] = matrix->numbers[i][0];
-    }
-
-    return result;
 }
\ No newline at end of file
diff --git a/matrix/matrix.h b/matrix/matrix.h
index 022a8b8..ea37f59 100644
--- a/matrix/matrix.h
+++ b/matrix/matrix.h
@@ -1,4 +1,3 @@
-#pragma once
 #include <stdio.h>
 
 typedef struct {
@@ -6,8 +5,6 @@ typedef struct {
     double **numbers;
 } Matrix;
 
-static const int scaling_value = 10000;
-
 Matrix* matrix_create(int rows, int columns);
 void matrix_fill(Matrix* matrix, double value);
 void matrix_free(Matrix* matrix);
@@ -15,18 +12,4 @@ void matrix_print(Matrix *matrix);
 Matrix* matrix_copy(Matrix *matrix);
 void matrix_save(Matrix* matrix, char* file_string);
 Matrix* matrix_load(char* file_string);
-Matrix* load_next_matrix(FILE * save_file);
-
-void matrix_randomize(Matrix* matrix, int n);
-int matrix_argmax(Matrix* matrix);
-Matrix* matrix_flatten(Matrix* matrix, int axis);
-Matrix* matrix_add_bias(Matrix* matrix);
-
-Matrix* multiply(Matrix* matrix1, Matrix* matrix2);
-Matrix* add(Matrix* matrix1, Matrix* matrix2);
-Matrix* subtract(Matrix* matrix1, Matrix* matrix2);
-Matrix* dot(Matrix* matrix1, Matrix* matrix2);
-Matrix* apply(double (*function)(double), Matrix* matrix);
-Matrix* scale(Matrix* matrix, double value);
-Matrix* addScalar(Matrix* matrix, double value);
-Matrix* transpose(Matrix* matrix);
\ No newline at end of file
+Matrix* load_next_matrix(FILE * save_file);
\ No newline at end of file
diff --git a/matrix/operations.c b/matrix/operations.c
index 59147e1..d969e41 100644
--- a/matrix/operations.c
+++ b/matrix/operations.c
@@ -1 +1,233 @@
+#include <process.h>
+#include <stdlib.h>
+#include <time.h>
+#include "math.h"
 #include "operations.h"
+
+static int RANDOMIZED = 0;
+
+Matrix* multiply(Matrix* matrix1, Matrix* matrix2) {
+
+    // check if the two matrices are of the same size
+    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+        printf("ERROR: Size of matrices are not compatible! (Multiply)");
+        exit(1);
+    }
+
+    // create result matrix
+    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+    // multiply the values and save them into the result matrix
+    for (int i = 0; i < matrix1->rows; i++) {
+        for (int j = 0; j < matrix1->columns; j++) {
+            result_matrix->numbers[i][j] = matrix1->numbers[i][j] * matrix2->numbers[i][j];
+        }
+    }
+
+    // return resulting matrix
+    return  result_matrix;
+}
+
+Matrix* add(Matrix* matrix1, Matrix* matrix2) {
+
+    // check if the two matrices are of the same size
+    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+        printf("ERROR: Size of matrices are not compatible! (Add)");
+        exit(1);
+    }
+
+    // create result matrix
+    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+    // add the value of the number in matrix 1 to the value of the number in matrix 2
+    for (int i = 0; i < matrix1->rows; i++) {
+        for (int j = 0; j < matrix1->columns; j++) {
+            result_matrix->numbers[i][j] = matrix1->numbers[i][j] + matrix2->numbers[i][j];
+        }
+    }
+
+    // return the result matrix
+    return result_matrix;
+}
+
+Matrix* subtract(Matrix* matrix1, Matrix* matrix2) {
+
+    // check if the two matrices are of the same size
+    if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+        printf("ERROR: Size of matrices are not compatible! (Subtract)");
+        exit(1);
+    }
+
+    // create result matrix
+    Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+    // subtract the value of the number in matrix 2 from the value of the number in matrix 1
+    for (int i = 0; i < matrix1->rows; i++) {
+        for (int j = 0; j < matrix1->columns; j++) {
+            result_matrix->numbers[i][j] = matrix1->numbers[i][j] - matrix2->numbers[i][j];
+        }
+    }
+
+    // return the resulting matrix
+    return result_matrix;
+}
+
+Matrix* dot(Matrix* matrix1, Matrix* matrix2) {
+
+    // check if the dimensions of the matrices are compatible to calculate the dot product
+    if(matrix1->columns != matrix2->rows) {
+        printf("ERROR: Size of matrices are not compatible! (Dot-Product)");
+        exit(1);
+    }
+
+    // create a new matrix with the dimensions of the dot product;
+    Matrix* result_matrix = matrix_create(matrix1->rows, matrix2->columns);
+
+    // iterate through all rows of matrix 1
+    for (int i = 0; i < matrix1->rows; i++) {
+
+        // iterate though all columns of matrix 2
+        for (int j = 0; j < matrix2->columns; j++) {
+
+            // sum up the products and save them into the result matrix
+            result_matrix->numbers[i][j] = 0;
+            for (int k = 0; k < matrix2->rows; k++) {
+                result_matrix->numbers[i][j] += matrix1->numbers[i][k] * matrix2->numbers[k][j];
+            }
+        }
+    }
+
+    // return result
+    return result_matrix;
+}
+
+Matrix* apply(double (*function)(double), Matrix* matrix) {
+
+    // create a new matrix used to calculate the result
+    Matrix* result_matrix = matrix_create(matrix->rows, matrix->columns);
+
+    // apply the function to all values in the matrix
+    for (int i = 0; i < matrix->rows; i++) {
+        for (int j = 0; j < matrix->columns; j++) {
+            result_matrix->numbers[i][j] = (*function)(matrix->numbers[i][j]);
+            int k = 0;
+        }
+    }
+
+    // return resulting matrix
+    return result_matrix;
+}
+
+Matrix* scale(Matrix* matrix, double value) {
+
+    // create a copy of the original matrix
+    Matrix* result_matrix = matrix_copy(matrix);
+
+    // iterate over all numbers in the matrix and multiply by the scalar value
+    for (int i = 0; i < result_matrix->rows; i++) {
+        for (int j = 0; j < result_matrix->columns; j++) {
+            result_matrix->numbers[i][j] *= value;
+        }
+    }
+
+    // return the copy
+    return result_matrix;
+}
+
+Matrix* transpose(Matrix* matrix) {
+
+    // create a new matrix of the size n-m, based on the original matrix of size m-n
+    Matrix* result_matrix = matrix_create(matrix->columns, matrix->rows);
+
+    // copy the values from the original into the correct place in the copy
+    for (int i = 0; i < matrix->rows; i++) {
+        for (int j = 0; j < matrix->columns; j++) {
+            result_matrix->numbers[j][i] = matrix->numbers[i][j];
+        }
+    }
+
+    // return the result matrix
+    return result_matrix;
+
+}
+
+Matrix* matrix_flatten(Matrix* matrix, int axis) {
+    // Axis = 0 -> Column Vector, Axis = 1 -> Row Vector
+    Matrix* result_matrix;
+    // Column Vector
+    if (axis == 0) {
+        result_matrix = matrix_create(matrix -> rows * matrix -> columns, 1);
+    }
+    // Row Vector
+    else if (axis == 1) {
+        result_matrix = matrix_create(1, matrix -> rows * matrix -> columns);
+    } else {
+        printf("ERROR: Argument must be 1 or 0 (matrix_flatten)");
+        exit(EXIT_FAILURE);
+    }
+    for (int i = 0; i < matrix->rows; i++) {
+        for (int j = 0; j < matrix->columns; j++) {
+            if (axis == 0) result_matrix->numbers[i * matrix->columns + j][0] = matrix->numbers[i][j];
+            else if (axis == 1) result_matrix->numbers[0][i * matrix->columns + j] = matrix->numbers[i][j];
+        }
+    }
+    return result_matrix;
+}
+
+int argmax(Matrix* matrix) {
+    // Expects a Mx1 matrix
+    if (matrix->columns != 1){
+        printf("ERROR: Matrix is not Mx1 (argmax)");
+        exit(EXIT_FAILURE);
+    }
+
+    double max_value = 0;
+    int max_index = 0;
+
+    for (int i = 0; i < matrix->rows; i++) {
+        if (matrix->numbers[i][0] > max_value) {
+            max_value = matrix->numbers[i][0];
+            max_index = i;
+        }
+    }
+    return max_index;
+}
+
+void matrix_randomize(Matrix* matrix, int n) {
+
+    if(!RANDOMIZED){
+        srand(time(NULL));
+        RANDOMIZED = 1;
+    }
+    //make a min and max
+    double min = -1.0f / sqrt(n);
+    double max = 1.0f / sqrt(n);
+
+    //calculate difference
+    double difference = max - min;
+
+    //move decimal
+    int scaled_difference = (int)(difference * scaling_value);
+
+    for (int i = 0; i < matrix->rows; i++) {
+        for (int j = 0; j < matrix->columns; j++) {
+            matrix->numbers[i][j] = min + (1.0 * (rand() % scaled_difference) / scaling_value);
+        }
+    }
+}
+
+Matrix* matrix_add_bias(Matrix* matrix) {
+    if(matrix->columns != 1) {
+        printf("ERROR: The size of the matrix does not match an input matrix! (matrix_add_bias)");
+        exit(1);
+    }
+
+    Matrix* result = matrix_create(matrix->rows + 1, matrix->columns);
+
+    result->numbers[0][0] = 1.0;
+    for (int i = 0; i < matrix->rows; ++i) {
+        result->numbers[i + 1][0] = matrix->numbers[i][0];
+    }
+
+    return result;
+}
\ No newline at end of file
diff --git a/matrix/operations.h b/matrix/operations.h
index 0d415b5..e4f0220 100644
--- a/matrix/operations.h
+++ b/matrix/operations.h
@@ -1 +1,25 @@
-#include "matrix.h"
\ No newline at end of file
+#include "matrix.h"
+
+static const int scaling_value = 10000;
+
+Matrix* multiply(Matrix* matrix1, Matrix* matrix2);
+
+Matrix* add(Matrix* matrix1, Matrix* matrix2); //only used in the batch_training method
+
+Matrix* subtract(Matrix* matrix1, Matrix* matrix2);
+
+Matrix* dot(Matrix* matrix1, Matrix* matrix2);
+
+Matrix* apply(double (*function)(double), Matrix* matrix);
+
+Matrix* scale(Matrix* matrix, double value);
+
+Matrix* transpose(Matrix* matrix);
+
+Matrix* matrix_flatten(Matrix* matrix, int axis);
+
+int argmax(Matrix* matrix);
+
+void matrix_randomize(Matrix* matrix, int n);
+
+Matrix* matrix_add_bias(Matrix* matrix);
\ No newline at end of file
diff --git a/neuronal_network.c b/neuronal_network.c
index c1d5468..650633c 100644
--- a/neuronal_network.c
+++ b/neuronal_network.c
@@ -1,5 +1,6 @@
 #include <stdlib.h>
 #include "neuronal_network.h"
+#include "matrix\operations.h"
 #include <stdio.h>
 #include <math.h>
 
@@ -120,7 +121,7 @@ double measure_network_accuracy(Neural_Network* network, Image** images, int amo
     for (int i = 0; i < amount; i++) {
         Matrix* prediction = predict_image(network, images[i]);
 
-        int guess = matrix_argmax(prediction);
+        int guess = argmax(prediction);
         int answer = (unsigned char) images[i]->label;
 
         if (guess == answer) {