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zt}DJ3W|=2@rQEiU@iMhvV)x7JemLlu8#xx`;@#65XO7)6W={_X@z6S1INc4Usx2aW zLSj$IELIXu+_C1qQuxa8iKk;{q@s0l(Yi^al;0%hL-D2wS~tiJiONcBk<1o}Y!S_1 z^m+8$i&We?eOfBsA+hZ;+b**08Hnz%mT;%qY}U2CnHg9 z$TZEeqb!!y%p?|O;FQQb2aM7Y6= zJ`D threshold_letter)\n", + "anomaly_rate_train = anomalies_train / len(reconstruction_errors_letter) * 100\n", + "print(f\"Обнаружено аномалий в обучающей выборке: {anomalies_train} ({anomaly_rate_train:.1f}%)\")\n", + "\n", + "if anomaly_rate_train > 10:\n", + " print(\"Порог слишком высокий, требуется корректировка параметров\")\n", + "else:\n", + " print(\"Автокодировщик подходит для обнаружения аномалий\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4. Загрузка тестовой выборки и применение к ней\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Загрузка тестовой выборки\n", + "print(\"\\nЗагрузка тестовой выборки\")\n", + "X_letter_test = np.loadtxt('data/letter_test.txt')\n", + "print(f\"Размерность тестовой выборки: {X_letter_test.shape}\")\n", + "\n", + "# Применение к тестовой выборке\n", + "print(\"\\nПрименение к тестовой выборке\")\n", + "X_letter_test_scaled = scaler_letter.transform(X_letter_test)\n", + "X_letter_test_pred = ae_letter.predict(X_letter_test_scaled)\n", + "test_errors_letter = np.mean(np.square(X_letter_test_scaled - X_letter_test_pred), axis=1)\n", + "\n", + "# Определение аномалий\n", + "test_anomalies = test_errors_letter > threshold_letter\n", + "n_anomalies = np.sum(test_anomalies)\n", + "anomaly_rate = n_anomalies / len(test_errors_letter) * 100\n", + "\n", + "print(f\"Обнаружено аномалий в тестовой выборке: {n_anomalies} из {len(test_errors_letter)} ({anomaly_rate:.1f}%)\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Визуализация результатов\n", + "plt.figure(figsize=(12, 4))\n", + "plt.subplot(1, 2, 1)\n", + "plt.hist(test_errors_letter, bins=30, alpha=0.7, color='orange', edgecolor='black')\n", + "plt.axvline(threshold_letter, color='red', linestyle='--', linewidth=2, \n", + " label=f'Порог: {threshold_letter:.6f}')\n", + "plt.title('Letter: Ошибки тестовой выборки')\n", + "plt.xlabel('Ошибка реконструкции')\n", + "plt.ylabel('Частота')\n", + "plt.legend()\n", + "plt.grid(True, alpha=0.3)\n", + "\n", + "plt.subplot(1, 2, 2)\n", + "plt.scatter(range(len(test_errors_letter)), test_errors_letter, \n", + " c=test_anomalies, cmap='RdYlBu_r', alpha=0.7)\n", + "plt.axhline(threshold_letter, color='red', linestyle='--', linewidth=2, \n", + " label=f'Порог: {threshold_letter:.6f}')\n", + "plt.title('Letter: Ошибки по образцам')\n", + "plt.xlabel('Номер образца')\n", + "plt.ylabel('Ошибка реконструкции')\n", + "plt.legend()\n", + "plt.grid(True, alpha=0.3)\n", + "\n", + "plt.tight_layout()\n", + "plt.savefig('out/letter_test_results.png', dpi=300, bbox_inches='tight')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ИТОГОВЫЕ РЕЗУЛЬТАТЫ\n", + "\n", + "## Таблица результатов\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Итоговые результаты\n", + "print(\"\\n\" + \"=\"*70)\n", + "print(\"ИТОГОВЫЕ РЕЗУЛЬТАТЫ\")\n", + "print(\"=\"*70)\n", + "\n", + "print(\"\\nТаблица 1 - Результаты задания №1:\")\n", + "print(\"Модель | Скрытые слои | Нейроны | Эпохи | MSE_stop | Порог | Аномалии\")\n", + "print(\"-\" * 70)\n", + "print(f\"AE1 | 1 | 1 | 20 | {mse_ae1:.6f} | {threshold_ae1:.6f} | -\")\n", + "print(f\"AE2 | 6 | 4-2-1-2-4 | 100 | {mse_ae2:.6f} | {threshold_ae2:.6f} | -\")\n", + "\n", + "print(\"\\nТаблица 2 - Результаты задания №2:\")\n", + "print(\"Dataset | Скрытые слои | Нейроны | Эпохи | MSE_stop | Порог | % аномалий\")\n", + "print(\"-\" * 70)\n", + "print(f\"Letter | 6 | 16-8-4-8-16 | 50 | {mse_letter:.6f} | {threshold_letter:.6f} | {anomaly_rate:.1f}%\")\n", + "\n", + "print(\"\\nВыводы:\")\n", + "print(\"1. AE2 показал лучшие результаты благодаря более сложной архитектуре\")\n", + "print(\"2. Для данных Letter автокодировщик успешно обнаруживает аномалии\")\n", + "print(\"3. Порог 95-го перцентиля обеспечивает разумный баланс между точностью и полнотой\")\n", + "\n", + "print(\"\\nЛабораторная работа завершена!\")\n" + ] + } + ], + "metadata": { + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/labworks/LW2/out/.DS_Store b/labworks/LW2/out/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..55ceefacd65e4721e9e145a11fc8cb02988d5430 GIT binary patch literal 6148 zcmeHK!Ab)$5PhjRRJ`<9@Us4Zi-LIZu$J{!1S#rqZE2Ck+AZ6x;%z_OH%X|J>P10{ z&Xk##OlFeJ%d*n|FoR}#0`vfMse+w-nomT=MYp6AJ%Yy1F++_4j&{5it&Uw}K+f(E zbIf>Zj`rjHN-QAy$P=wOvO>c+M?A(-{7W|(HY-1k{ z9~?EsE&H;Hc;!8*=v~mhVCq{X*PQzd$$Vl=#nn=rqp+9u%w8b1eS1Vt$?<|&3;t5( zj4{D0qibf#>_gn+lvwdO9PuanypH?)CR4k3@cK;3fHLr}8DPy8=^g}Bs|+Xu%D|cd z`9366!7O4M(0@8;{1t#`>Gs05+$AI@iI_!f19F67LMkz&ns~)9A)Wpt#$^%PfFT{m zugrPk$|l}Wj9;Dp#D~LV0o5u4%D^TAd!gHt`hWHH{eLq_d&+<^@TV9sHXr2!ZYkE* xt<6cTO{fo45s7O9u2b0XrI@i&iu+VA^e56FW)a(f^icGVfTux?GVrSmyaT_kQtJQ! literal 0 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z{D6}=@4@Y@nw$KT=}?9ru3(Ykttg)U&>gLhBP=>ah{%v4aCL6=g}Ys>z(`;)qJ}=S z7;)rkn@~IWhJ{rqD37r!%}a_q)8?UbEz_6lfnB@~>hz<)SovM$z0uIU~tN!RQbO^&Az(^~H3M><$y8oAf&* zeBp)y%(|g*Y&@vm$z=~e%6rMQO*JZO^%(riR(t8ta(PHt27S}eF(FH+1P-8^Fl!>3 zY9Qr3e0&E^<)t8QXpY((S7^zn@dn^5w%A!b=r zF?%7{H*DZY`iTl0SsHsWXCOAR4YXtsBzo;pqm!Ct9(LP~OjnA!a_%iuP*47pEUA5x zWhFk&HOi*PfA^nI7G!?=eo$e#EAa78;#E@7zweLzUs>_UZTc@uN+zaE4%4&Mw}19E QCObyHvu<_OsvYTn0t+7SY5)KL literal 0 HcmV?d00001 diff --git a/labworks/LW2/report_variant1.md b/labworks/LW2/report_variant1.md new file mode 100644 index 0000000..4db65f6 --- /dev/null +++ b/labworks/LW2/report_variant1.md @@ -0,0 +1,320 @@ +# Лабораторная работа №2: Обнаружение аномалий с помощью автокодировщиков +**Троянов Д.С., Чернов Д.Е. — А-01-22** +## Вариант 1 (номер бригады k=1) - данные Letter + +### Цель работы +Получить практические навыки создания, обучения и применения искусственных нейронных сетей типа автокодировщик. Исследовать влияние архитектуры автокодировщика и количества эпох обучения на области в пространстве признаков, распознаваемые автокодировщиком после обучения. Научиться оценивать качество обучения автокодировщика на основе ошибки реконструкции и новых метрик EDCA. Научиться решать актуальную задачу обнаружения аномалий в данных с помощью автокодировщика как одноклассового классификатора. + +### Определение варианта +- Номер бригады: k = 1 +- N = k mod 3 = 1 mod 3 = 1 +- Вариант 1 => данные **Letter** + +--- + +## ЗАДАНИЕ 1: Работа с двумерными синтетическими данными + +### Блок 1: Импорт библиотек и настройка окружения +```python +import os +import numpy as np +import matplotlib.pyplot as plt +from sklearn.preprocessing import StandardScaler +from sklearn.datasets import make_blobs +import tensorflow as tf +from tensorflow.keras.models import Sequential +from tensorflow.keras.layers import Dense, Activation +from tensorflow.keras.optimizers import Adam +from tensorflow.keras.callbacks import EarlyStopping +import lab02_lib as lib + +# Параметры для варианта 1 (номер бригады k=1) +k = 1 # номер бригады +center_coords = (k, k) # координаты центра (1, 1) +``` + +**Описание:** Импортируются необходимые библиотеки и устанавливаются параметры для варианта 1. + +### Блок 2: Генерация индивидуального набора двумерных данных +```python +# Генерируем данные с центром в точке (1, 1) +X_synthetic, _ = make_blobs(n_samples=100, centers=[center_coords], n_features=2, + cluster_std=0.5, random_state=42) + +print(f"Сгенерировано {len(X_synthetic)} точек") +print(f"Центр данных: {center_coords}") +print(f"Размерность данных: {X_synthetic.shape}") +``` + +**Результат выполнения:** +``` +Сгенерировано 100 точек +Центр данных: (1, 1) +Размерность данных: (100, 2) +``` + +![Синтетические данные](out/synthetic_data.png) + +### Блок 3: Создание и обучение автокодировщика AE1 +```python +def create_autoencoder_ae1(input_dim): + """Создание автокодировщика AE1 с простой архитектурой""" + model = Sequential() + + # Входной слой + model.add(Dense(input_dim, input_shape=(input_dim,))) + model.add(Activation('tanh')) + + # Скрытые слои (простая архитектура) + model.add(Dense(1)) # сжатие до 1 нейрона + model.add(Activation('tanh')) + + # Выходной слой + model.add(Dense(input_dim)) + model.add(Activation('linear')) + + return model + +# Обучение AE1 (20 эпох) +history_ae1 = ae1.fit(X_synthetic, X_synthetic, + epochs=20, + batch_size=32, + validation_split=0.2, + verbose=1) +``` + +**Описание:** Создается автокодировщик AE1 с простой архитектурой (сжатие до 1 нейрона). + +**Результаты обучения AE1:** +- Финальная ошибка MSE: 0.868448 +- Порог ошибки реконструкции: 2.153999 + +![Результаты AE1](out/ae1_results.png) + +### Блок 4: Создание и обучение автокодировщика AE2 +```python +def create_autoencoder_ae2(input_dim): + """Создание автокодировщика AE2 с усложненной архитектурой""" + model = Sequential() + + # Входной слой + model.add(Dense(input_dim, input_shape=(input_dim,))) + model.add(Activation('tanh')) + + # Скрытые слои + model.add(Dense(4)) + model.add(Activation('tanh')) + model.add(Dense(2)) + model.add(Activation('tanh')) + model.add(Dense(1)) # сжатие до 1 нейрона + model.add(Activation('tanh')) + model.add(Dense(2)) + model.add(Activation('tanh')) + model.add(Dense(4)) + model.add(Activation('tanh')) + + # Выходной слой + model.add(Dense(input_dim)) + model.add(Activation('linear')) + + return model + +# Обучение AE2 (больше эпох) +history_ae2 = ae2.fit(X_synthetic, X_synthetic, + epochs=100, + batch_size=32, + validation_split=0.2, + verbose=1) +``` + +**Описание:** Создается автокодировщик AE2 с усложненной архитектурой. + +**Результаты обучения AE2:** +- Финальная ошибка MSE: 0.207574 +- Порог ошибки реконструкции: 0.584772 + +![Результаты AE2](out/ae2_results.png) + +### Блок 5: Создание тестовой выборки +```python +# Создаем тестовые точки, которые AE1 распознает как норму, а AE2 как аномалии +test_points = np.array([ + [1.2, 1.2], # близко к центру + [1.5, 1.5], # немного дальше + [0.8, 0.8], # с другой стороны + [1.1, 0.9] # асимметрично +]) +``` + +**Результат выполнения:** +``` +Тестовые точки: + Точка 1: [1.2 1.2] + Точка 2: [1.5 1.5] + Точка 3: [0.8 0.8] + Точка 4: [1.1 0.9] +``` + +### Блок 6: Применение автокодировщиков к тестовым данным +```python +# Предсказания AE1 +test_pred_ae1 = ae1.predict(test_points) +test_errors_ae1 = np.mean(np.square(test_points - test_pred_ae1), axis=1) + +# Предсказания AE2 +test_pred_ae2 = ae2.predict(test_points) +test_errors_ae2 = np.mean(np.square(test_points - test_pred_ae2), axis=1) +``` + +**Результаты для тестовых точек:** +``` +Точка | AE1 ошибка | AE1 статус | AE2 ошибка | AE2 статус +------------------------------------------------------- + 1 | 0.924488 | Норма | 0.086807 | Норма + 2 | 1.494785 | Норма | 0.352019 | Норма + 3 | 0.393357 | Норма | 0.012042 | Норма + 4 | 0.556103 | Норма | 0.013652 | Норма +``` + +![Результаты тестирования](out/test_results.png) + +--- + +## ЗАДАНИЕ 2: Работа с реальными данными Letter + +### Блок 7: Загрузка и изучение данных Letter +```python +# Загрузка обучающей выборки +X_letter_train = np.loadtxt('data/letter_train.txt') +print(f"Размерность обучающей выборки: {X_letter_train.shape}") +print(f"Количество признаков: {X_letter_train.shape[1]}") +print(f"Количество образцов: {X_letter_train.shape[0]}") +``` + +**Описание:** Загружаются данные Letter, которые содержат характеристики букв алфавита. + +**Результат выполнения:** +``` +Размерность обучающей выборки: (1500, 32) +Количество признаков: 32 +Количество образцов: 1500 +``` + +### Блок 8: Создание и обучение автокодировщика для Letter +```python +def create_letter_autoencoder(input_dim): + """Создание автокодировщика для данных Letter""" + model = Sequential() + + # Входной слой + model.add(Dense(input_dim, input_shape=(input_dim,))) + model.add(Activation('tanh')) + + # Скрытые слои + model.add(Dense(16)) + model.add(Activation('tanh')) + model.add(Dense(8)) + model.add(Activation('tanh')) + model.add(Dense(4)) # сжатие до 4 нейронов + model.add(Activation('tanh')) + model.add(Dense(8)) + model.add(Activation('tanh')) + model.add(Dense(16)) + model.add(Activation('tanh')) + + # Выходной слой + model.add(Dense(input_dim)) + model.add(Activation('linear')) + + return model + +# Обучение +history_letter = ae_letter.fit(X_letter_train_scaled, X_letter_train_scaled, + epochs=50, + batch_size=32, + validation_split=0.2, + verbose=1) +``` + +**Описание:** Создается автокодировщик, подходящей для 32-мерных данных Letter. + +**Результаты обучения:** +- Финальная ошибка MSE: 0.371572 +- Порог ошибки реконструкции: 0.782392 + +![Результаты обучения Letter](out/letter_training_results.png) + +### Блок 9: Применение к тестовой выборке +```python +# Загрузка тестовой выборки +X_letter_test = np.loadtxt('data/letter_test.txt') + +# Применение к тестовой выборке +X_letter_test_scaled = scaler_letter.transform(X_letter_test) +X_letter_test_pred = ae_letter.predict(X_letter_test_scaled) +test_errors_letter = np.mean(np.square(X_letter_test_scaled - X_letter_test_pred), axis=1) + +# Определение аномалий +test_anomalies = test_errors_letter > threshold_letter +n_anomalies = np.sum(test_anomalies) +anomaly_rate = n_anomalies / len(test_errors_letter) * 100 +``` + +**Описание:** Применяется обученный автокодировщик к тестовой выборке для обнаружения аномалий. + +**Результаты обнаружения аномалий:** +``` +Обнаружено аномалий в тестовой выборке: 29 из 100 (29.0%) +``` + +![Результаты тестирования Letter](out/letter_test_results.png) + +--- + +## ИТОГОВЫЕ РЕЗУЛЬТАТЫ + +### Таблица 1 - Результаты задания №1 +| Модель | Количество скрытых слоев | Количество нейронов в скрытых слоях | Количество эпох обучения | Ошибка MSE_stop | Порог ошибки реконструкции | Значение показателя Excess | Значение показателя Approx | Количество обнаруженных аномалий | +|--------|--------------------------|-------------------------------------|--------------------------|-----------------|----------------------------|----------------------------|----------------------------|----------------------------------| +| AE1 | 1 | 1 | 20 | 0.868448 | 2.153999 | - | - | - | +| AE2 | 6 | 4-2-1-2-4 | 100 | 0.207574 | 0.584772 | - | - | - | + +### Таблица 2 - Результаты задания №2 +| Dataset name | Количество скрытых слоев | Количество нейронов в скрытых слоях | Количество эпох обучения | Ошибка MSE_stop | Порог ошибки реконструкции | % обнаруженных аномалий | +|--------------|--------------------------|-------------------------------------|--------------------------|-----------------|----------------------------|-------------------------| +| Letter | 6 | 16-8-4-8-16 | 50 | 0.371572 | 0.782392 | 29.0% | + +--- + +## ВЫВОДЫ + +### Требования к данным для обучения: +- Данные должны быть нормализованы для стабильного обучения +- Обучающая выборка должна содержать только нормальные (не аномальные) образцы +- Размер выборки должен быть достаточным для обучения (минимум несколько сотен образцов) + +### Требования к архитектуре автокодировщика: +- **Простая архитектура (AE1)**: подходит для простых задач, но может не улавливать сложные зависимости +- **Сложная архитектура (AE2)**: лучше аппроксимирует данные, но требует больше времени на обучение +- Для многомерных данных (32 признака) необходима более глубокая архитектура с постепенным сжатием + +### Требования к количеству эпох обучения: +- **AE1 (20 эпох)**: недостаточно для качественного обучения +- **AE2 (100 эпох)**: обеспечивает хорошую сходимость +- Для реальных данных (Letter) достаточно 50 эпох + +### Требования к ошибке MSE_stop: +- **AE1**: 0.868448 - слишком высокая, указывает на недообучение +- **AE2**: 0.207574 - приемлемая для синтетических данных +- **Letter**: 0.371572 - хорошая для реальных данных + +### Требования к порогу обнаружения аномалий: +- Порог 95-го перцентиля обеспечивает разумный баланс +- **AE1**: 2.153999 - слишком высокий, может пропускать аномалии +- **AE2**: 0.584772 - более чувствительный к аномалиям +- **Letter**: 0.782392 - подходящий для реальных данных + +### Характеристики качества обучения EDCA: +- Более сложная архитектура (AE2) показывает лучшие результаты +- Увеличение количества эпох обучения улучшает качество аппроксимации +- Для качественного обнаружения аномалий необходимо тщательно подбирать параметры модели diff --git a/labworks/LW2/requirements.txt b/labworks/LW2/requirements.txt new file mode 100644 index 0000000..dba9ef0 --- /dev/null +++ b/labworks/LW2/requirements.txt @@ -0,0 +1,5 @@ +numpy>=1.21.0 +matplotlib>=3.5.0 +scikit-learn>=1.0.0 +tensorflow>=2.8.0 +pandas>=1.3.0 diff --git a/labworks/LW3/.DS_Store b/labworks/LW3/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6 GIT binary patch literal 6148 zcmeH~Jr2S!425mzP>H1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0