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&q6KD@%;~e{HE%+^5VQwu7H9nceC_*Y2Pf$B9IE7TDxM0`BJD zn&N#`3;9Wf-Cf^}+}XCWvT1xXH%_PW8&B0pnF&YtTWHQ~E2H>4C_Enc!I4T+YYUX? zsNJfbK##is1yshXOu_VzKus0ZUCtlz7w~f2tz3L%6!HWoYLvLxQ&*rY%R-yHE5xw{ zjgCpP`p&DT$PZ-_@At9=qOK5-i#P(SuLVV~rLB_nUE7GaW|awEaFJe*@LoH$6$g`F zD&-;H6Xf-PtJRFK?}~5reAOleV28t+3yM2xJ6NTZkjG_u5ibO`jsQ|BWXo~#5O9Fc zdoQ~_RobvN*Itx4u9x6mj8E)Mc)UVPm0-K=5o!O(g37B!@wVwDI-WFTM)9%5i=#JL zR%!xUG(u}rx=tLS>#&_hjM6!X-M6qEoD`?!1WIz<;HJydjRg!N%o4s8)mnfQ zUZ@ikabC~M`Of@9)Dj!lrZJCB96r=+GT-=>R-50PzN8yZLapMkK)ZNIW3rXS+|bou7d=#Bm*giUYPnBS2xp z3*IazS%l6`1ItDnR*wOH7eEEU?47-NKZ5mhx);!E=#NP}TyD?_aCb9+iXAv+Ek8Mz zlz@p#B!iW!r|hEuon%VQ!b2xR1*$1RZrtXRqxs4ON>wuO_d@s+#2Mx8iGU4OFzR(W zHb7kuG(Y?@UFk_a!At5e3pA%9Hb7e)Yd;2Wnq}(_{Qs%JP{gV5)>#c7H!%xF0^n=wm|! y7m4e~7?2Y%_*<&iLUQv7I@r?xhv76|Awn-4?+8BNzk>k&Ns7rnD;9m_{XYPO-dHjK literal 0 HcmV?d00001 diff --git a/labworks/LW2/report.md b/labworks/LW2/report.md index 5f68928..5d8614e 100644 --- a/labworks/LW2/report.md +++ b/labworks/LW2/report.md @@ -137,68 +137,61 @@ lab02_lib.ire_plot('test', ire1, IREth, 'AE2') --- -## ЗАДАНИЕ 2: Работа с реальными данными WBC +## ЗАДАНИЕ 2: Работа с реальными данными Cardio -### Загрузка и изучение данных WBC +### Загрузка и изучение данных Cardio ```python -# Загрузка выборок -train = np.loadtxt('WBC_train.txt', dtype=float) -test = np.loadtxt('WBC_test.txt', dtype=float) +train = np.loadtxt('cardio_train.txt', dtype=float) +test = np.loadtxt('cardio_test.txt', dtype=float) ``` -**Описание:** Загружаются данные WBC, которые содержат измерения для случаев рака молочной железы. +**Описание:** Загружаются данные Cardio, которые содержат измерения частоты сердечных сокращений плодаи сокращений матки на кардиотокограммах. ### Создание и обучение автокодировщика ```python from time import time start = time() -ae3_trained, IRE3, IREth3= lib.create_fit_save_ae(train,'out/AE3.h5','out/AE3_ire_th.txt', 50000, False, 5000, early_stopping_delta = 0.01) -IREth3 = np.percentile(IRE3, 95) +ae3_trained, IRE3, IREth3 = lab02_lib.create_fit_save_ae(train,'out/AE3.h5','out/AE3_ire_th.txt', +85000, False, 7500, early_stopping_delta = 0.004) print("Время на обучение: ", time() - start) -print("Порог IREth3:", IREth3) ``` **Результаты обучения:** -Время на обучение: 192.4243025779724 -Порог IREth3: 0.4819999999999999 +Время на обучение: 2023.5726425647736 + - loss: 0.0381 +Порог IREth3: 3.12 + ```python -predicted_labels3, ire3 = lib.predict_ae(ae3_trained, test, IREth3) +predicted_labels3, ire3 = lab02_lib.predict_ae(ae3_trained, test, IREth3) ``` + ### Тестирование автокодировщика ```python -lib.anomaly_detection_ae(predicted_labels3, ire3, IREth3) -lib.ire_plot('test', ire3, IREth3, 'AE3') +lab02_lib.anomaly_detection_ae(predicted_labels3, ire3, IREth3) +lab02_lib.ire_plot('test', ire3, IREth3, 'AE3') ``` + **Описание:** Применяется обученный автокодировщик к тестовой выборке для обнаружения аномалий. **Результаты обнаружения аномалий:** ``` i Labels IRE IREth -0 [1.] [0.56] 0.48 -1 [1.] [1.12] 0.48 -2 [0.] [0.48] 0.48 -3 [1.] [0.73] 0.48 -4 [1.] [0.9] 0.48 -5 [1.] [0.97] 0.48 -6 [1.] [0.6] 0.48 -7 [1.] [1.31] 0.48 -8 [0.] [0.34] 0.48 -9 [1.] [0.69] 0.48 -10 [1.] [0.73] 0.48 -11 [1.] [1.32] 0.48 -12 [0.] [0.36] 0.48 -13 [1.] [0.72] 0.48 -14 [0.] [0.41] 0.48 -15 [1.] [0.84] 0.48 -16 [1.] [0.76] 0.48 -17 [1.] [0.56] 0.48 -18 [1.] [1.71] 0.48 -19 [1.] [1.31] 0.48 -20 [0.] [0.42] 0.48 -Обнаружено 16.0 аномалий +97 [1.] [2.89] 2.83 +98 [0.] [1.98] 2.83 +99 [0.] [2.1] 2.83 +100 [0.] [1.67] 2.83 +101 [0.] [1.94] 2.83 +102 [0.] [2.2] 2.83 +103 [0.] [2.12] 2.83 +104 [0.] [2.08] 2.83 +105 [0.] [2.38] 2.83 +106 [0.] [1.9] 2.83 +107 [0.] [1.57] 2.83 +108 [1.] [4.19] 2.83 +Обнаружено 84.0 аномалий ``` ![Результаты тестирования AE3](WBC_test_results.png) @@ -208,47 +201,34 @@ i Labels IRE IREth ## 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 | 300 | 2.0432 | 2.3 | 13.947368421052632 | 0.06690140845070422 | - | -| AE2 | 5 | 3-2-1-2-3 | 500 | 0.0196 | 0.515 | 1.105263157894737 | 0.475 | - | +| | 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 | 1000 | 0.0134 | 0.56 | 2.(1) | 0.321 | | +| **AE2** | 5 | 3 2 1 2 3 | 3000 | 0.0096 | 0.48 | 1.2(7) | 0.439 | | ### 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 | |--------------|--------------------------|-------------------------------------|--------------------------|-----------------|----------------------------|-------------------------| -| WBC | 9 | 28-24-20-16-12-16-20-24-28 | 50000 | 0.0003 | 0.482 | 76.2% | +| Cardio | 15 | 21 19 17 15 17 19 21 | 31000 | 0.0381 | 0.482 | 77% | --- ## ВЫВОДЫ -### Требования к данным для обучения: -- Данные должны быть нормализованными для сохранения стабильности обучения -- В обучающей выборке не должно быть аномальных образцов -- Размер выборки должен быть достаточным для обучения (минимум несколько сотен образцов) - -### Требования к архитектуре автокодировщика: -- **Простая архитектура (AE1)**: подходит для простых задач, быстро обучается, но может не улавливать сложные зависимости -- **Сложная архитектура (AE2)**: лучше аппроксимирует данные, но требует больше времени на обучение -- **Еще более сложная архитектура (AE3)**: позволяет наиболее точно обнаруживать аномалии и свести ошибку к минимуму, но тратит на обучение много времени из-за большого кол-ва эпох - -### Требования к количеству эпох обучения: -- **AE1 (300 эпох)**: недостаточно для качественного обучения -- **AE2 (500 эпох)**: обеспечивает хорошую сходимость -- Для реальных данных (WBC) необходимо 50000 эпох - -### Требования к ошибке MSE_stop: -- **AE1**: 2.0432 - слишком высокая, указывает на недообучение -- **AE2**: 0.0196 - приемлемая для синтетических данных -- **WBC**: 0.0003 - отличная для реальных данных - -### Требования к порогу обнаружения аномалий: -- Порог 95-го перцентиля обеспечивает разумный баланс -- **AE1**: 2.3 - слишком высокий, может пропускать аномалии -- **AE2**: 0.515 - более чувствительный к аномалиям -- **WBC**: 0.482 - 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 \ No newline at end of file +### Требования к данным для обучения + - Обучающая выборка должна содержать только нормальные (неаномальные) образцы. + - Данные необходимо нормализовать, чтобы обеспечить стабильность и сходимость обучения. + - Объём выборки должен быть достаточным для покрытия характерных паттернов нормального поведения (в экспериментах использовалось ≥1000 образцов). +### Влияние архитектуры автокодировщика + - Простая архитектура (AE1) быстро обучается, но даёт грубую аппроксимацию границы нормальных данных, что приводит к высокому значению показателя Excess и низкой точности экстраполяции. + - Более глубокая и симметричная архитектура (AE2) лучше моделирует сложную форму распределения, уменьшая избыточное покрытие и повышая чувствительность к аномалиям. +### Влияние количества эпох обучения + - Недостаточное число эпох (как у AE1) приводит к недообучению и завышенному порогу IRE. + - Увеличение количества эпох (до 3000 у AE2 и 7000 у AE3) позволяет достичь более низкой ошибки реконструкции и стабильного порога, особенно на реальных данных. +### Порог обнаружения аномалий + - Порог IREth, вычисляемый как 95-й перцентиль ошибки реконструкции на обучающей выборке, обеспечивает разумный компромисс между полнотой и точностью. + - Более низкий порог (как у AE2 и AE3) повышает чувствительность к выбросам, но требует тщательной настройки, чтобы избежать ложных срабатываний. +### Оценка качества через метрики EDCA + - Метрики Excess, Deficit, Coating и Extrapolation precision позволяют количественно сравнивать границы, формируемые разными моделями. + - AE2 продемонстрировал лучшее качество аппроксимации по сравнению с AE1: меньший избыток и в 2.8 раза выше точность экстраполяции. + - Для реальных данных (Cardio) автокодировщик AE3 обнаружил 84 аномалий, что соответствует ожидаемому поведению при адекватной настройке порога. \ No newline at end of file