From fdbf3159c098b27ca7f8f092c62436acba28aec8 Mon Sep 17 00:00:00 2001 From: Kiseliov Matvey Date: Wed, 15 Oct 2025 19:21:24 +0300 Subject: [PATCH] =?UTF-8?q?=D0=BE=D1=82=D1=87=D1=91=D1=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- labworks/LW1/report.md | 260 ++++++++++++++++++++++++++++++ labworks/LW1/Рисунок1.png | Bin 0 -> 7058 bytes labworks/LW1/Рисунок10.png | Bin 0 -> 23608 bytes labworks/LW1/Рисунок11.png | Bin 0 -> 7373 bytes labworks/LW1/Рисунок12.png | Bin 0 -> 7254 bytes labworks/LW1/Рисунок13.png | Bin 0 -> 6838 bytes labworks/LW1/Рисунок14.png | Bin 0 -> 6805 bytes labworks/LW1/Рисунок15.png | Bin 0 -> 6740 bytes labworks/LW1/Рисунок16.png | Bin 0 -> 6620 bytes labworks/LW1/Рисунок2.png | Bin 0 -> 7210 bytes labworks/LW1/Рисунок3.png | Bin 0 -> 6785 bytes labworks/LW1/Рисунок4.png | Bin 0 -> 7024 bytes labworks/LW1/Рисунок5.png | Bin 0 -> 25094 bytes labworks/LW1/Рисунок6.png | Bin 0 -> 25508 bytes labworks/LW1/Рисунок7.png | Bin 0 -> 25518 bytes labworks/LW1/Рисунок8.png | Bin 0 -> 25577 bytes labworks/LW1/Рисунок9.png | Bin 0 -> 23880 bytes 17 files changed, 260 insertions(+) create mode 100644 labworks/LW1/report.md create mode 100644 labworks/LW1/Рисунок1.png create mode 100644 labworks/LW1/Рисунок10.png create mode 100644 labworks/LW1/Рисунок11.png create mode 100644 labworks/LW1/Рисунок12.png create mode 100644 labworks/LW1/Рисунок13.png create mode 100644 labworks/LW1/Рисунок14.png create mode 100644 labworks/LW1/Рисунок15.png create mode 100644 labworks/LW1/Рисунок16.png create mode 100644 labworks/LW1/Рисунок2.png create mode 100644 labworks/LW1/Рисунок3.png create mode 100644 labworks/LW1/Рисунок4.png create mode 100644 labworks/LW1/Рисунок5.png create mode 100644 labworks/LW1/Рисунок6.png create mode 100644 labworks/LW1/Рисунок7.png create mode 100644 labworks/LW1/Рисунок8.png create mode 100644 labworks/LW1/Рисунок9.png diff --git a/labworks/LW1/report.md b/labworks/LW1/report.md new file mode 100644 index 0000000..dc4cc14 --- /dev/null +++ b/labworks/LW1/report.md @@ -0,0 +1,260 @@ +# Отчет по лабораторной работе № 1 + +### Киселёв Матвей, Мамедов Расул А-01-22 + +## 1) В среде Google Colab создать новый блокнот (notebook). Импортировать необходимые для работы библиотеки и модули. + +```py +import os +os.chdir('/content/drive/MyDrive/Colab Notebooks') + +# импорт модулей +from tensorflow import keras +import matplotlib.pyplot as plt +import numpy as np +import sklearn +``` +## 2) Загрузить набор данных MNIST, содержащий размеченные изображения рукописных цифр. + +```py +# загрузка датасета +from keras.datasets import mnist +(X_train, y_train), (X_test, y_test) = mnist.load_data() +``` + +## 3) Разбить набор данных на обучающие и тестовые данные в соотношении 60 000:10 000 элементов. При разбиении параметр random_state выбрать равным (4k – 1), где k – номер бригады. Вывести размерности полученных обучающих и тестовых массивов данных. + +```py +# создание своего разбиения датасета +from sklearn.model_selection import train_test_split + +# объединяем в один набор +X = np.concatenate((X_train, X_test)) +y = np.concatenate((y_train, y_test)) + +# разбиваем по вариантам +X_train, X_test, y_train, y_test = train_test_split(X, y, +test_size = 10000, +train_size = 60000, +random_state = 4*6 -1) + +# вывод размерностей +print('Shape of X train:', X_train.shape) +print('Shape of y train:', X_train.shape) +``` + +## 4) Вывести первые 4 элемента обучающих данных (изображения и метки цифр). + +```py +for i in [0,1,2,3]: + # вывод изображения + plt.imshow(X_train[i], cmap=plt.get_cmap('gray')) + plt.show() + + # вывод метки для этого изображения + print(y_train[i]) +``` +![6](Рисунок1.png) + +6 + +![4](Рисунок2.png) + +4 + +![4](Рисунок3.png) + +4 + +![3](Рисунок4.png) + +3 + +## 5) Провести предобработку данных: привести обучающие и тестовые данные к формату, пригодному для обучения нейронной сети. Входные данные должны принимать значения от 0 до 1, метки цифр должны быть закодированы по принципу «one-hot encoding». Вывести размерности предобработанных обучающих и тестовых массивов данных. + +```py +# развернем каждое изображение 28*28 в вектор 784 +num_pixels = X_train.shape[1] * X_train.shape[2] +X_train = X_train.reshape(X_train.shape[0], num_pixels) / 255 +X_test = X_test.reshape(X_test.shape[0], num_pixels) / 255 +print('Shape of transformed X train:', X_train.shape) + +# переведем метки в one-hot +from keras.utils import to_categorical +y_train = keras.utils.to_categorical(y_train) +y_test = keras.utils.to_categorical(y_test) +print('Shape of transformed y train:', y_train.shape) +num_classes = y_train.shape[1] +``` + +## 6) Реализовать модель однослойной нейронной сети и обучить ее на обучающих данных с выделением части обучающих данных в качестве валидационных. Вывести информацию об архитектуре нейронной сети. Вывести график функции ошибки на обучающих и валидационных данных по эпохам. + +```py +from keras.models import Sequential +from keras.layers import Dense + +# 1. создаем модель - объявляем ее объектом класса Sequential +model = Sequential() +# 2. добавляем выходной слой +model.add(Dense(units=num_classes, activation='softmax')) +# 3. компилируем модель +model.compile(loss='categorical_crossentropy', optimizer='sgd', metrics=['accuracy']) + +# вывод информации об архитектуре модели +print(model.summary()) + +# Обучаем модель +H = model.fit(X_train, y_train, validation_split=0.1, epochs=50) +``` + +## 7) Применить обученную модель к тестовым данным. Вывести значение функции ошибки и значение метрики качества классификации на тестовых данных. + +```py +# вывод графика ошибки по эпохам +plt.plot(H.history['loss']) +plt.plot(H.history['val_loss']) +plt.grid() +plt.xlabel('Epochs') +plt.ylabel('loss') +plt.legend(['train_loss', 'val_loss']) +plt.title('Loss by epochs') +plt.show() + +# Оценка качества работы модели на тестовых данных +scores = model.evaluate(X_test, y_test) +print('Loss on test data:', scores[0]) +print('Accuracy on test data:', scores[1]) +``` +### Сеть без скрытых слоёв: + +![Сеть без скрытых слоёв](Рисунок5.png) + +### Оценка качества работы: + +Loss on test data: 0.2811441123485565 + +Accuracy on test data: 0.9204000234603882 + +## 8) Добавить в модель один скрытый и провести обучение и тестирование (повторить п. 6–7) при 100, 300, 500 нейронах в скрытом слое. По метрике качества классификации на тестовых данных выбрать наилучшее количество нейронов в скрытом слое. В качестве функции активации нейронов в скрытом слое использовать функцию sigmoid. + +```py +# добавляем первый скрытый слой +model.add(Dense(units=100, input_dim=num_pixels, activation='sigmoid')) +``` +### 100 нейронов в 1 скрытом слое: + +![100 нейронов в 1 скрытом слое:](Рисунок6.png) + +### 300 нейронов в 1 скрытом слое: + +![300 нейронов в 1 скрытом слое:](Рисунок7.png) + +### 500 нейронов в 1 скрытом слое: + +![500 нейронов в 1 скрытом слое:](Рисунок8.png) + +### Вывод: по наибольшей метрике качества классификации на тестовых данных можно определить, что лучшее количество нейронов в скрытом слое - 100. + +## 9) Добавить в наилучшую архитектуру, определенную в п. 8, второй скрытый слой и провести обучение и тестирование (повторить п. 6–7) при 50 и 100 нейронах во втором скрытом слое. В качестве функции активации нейронов в скрытом слое использовать функцию sigmoid. + +```py +# добавляем второй скрытый слой +model.add(Dense(units=50, activation='sigmoid')) +``` + +### 100 нейронов в 1 скрытом слое и 50 во 2 скрытом слое: + +![100 нейронов в 1 скрытом слое и 50 во 2 скрытом слое:](Рисунок9.png) + +### 100 нейронов в 1 скрытом слое и 100 во 2 скрытом слое: + +![100 нейронов в 1 скрытом слое и 100 во 2 скрытом слое:](Рисунок10.png) + +## 10) Результаты исследования архитектуры нейронной сети занести в таблицу: + +| Кол-во скрытых слоев | Нейроны в 1 слое | Нейроны во 2 слое | Точность | +|----------------------|------------------|-------------------|----------| +| 0 | - | - | 0.9204 | +| 1 | 100 | - | 0.9592 | +| 1 | 300 | - | 0.9536 | +| 1 | 500 | - | 0.9488 | +| 2 | 100 | 50 | 0.9618 | +| 2 | 100 | 100 | 0.9603 | + +### Вывод: как видно из таблицы, наилучший результат показала нейросеть с двумя скрытыми слоями, у которой 100 нейронов в первом скрытом слое и 50 во втором. + +## 11) Сохранить наилучшую нейронную сеть на диск. Данную нейронную сеть потребуется загрузить с диска в одной из следующих лабораторных работ. + +```py +model.save('best_model.keras') +``` + +## 12) Для нейронной сети наилучшей архитектуры вывести два тестовых изображения, истинные метки и результат распознавания изображений. + +```py +result = model.predict(X_test[n:n+1]) +print('NN output:', result) +plt.imshow(X_test[n].reshape(28,28), cmap=plt.get_cmap('gray')) +plt.show() +print('Real mark: ', str(np.argmax(y_test[n]))) +print('NN answer: ', str(np.argmax(result))) +``` + +![Real mark: 2 NN answer: 2](Рисунок11.png) + +Real mark: 2 + +NN answer: 2 + +![Real mark: 0 NN answer: 0](Рисунок12.png) + +Real mark: 0 + +NN answer: 0 + +## 13) Каждому члену бригады создать собственное изображение рукописной цифры, подобное представленным в наборе MNIST. Цифру выбрать как остаток от деления на 10 числа своего дня рождения (например, 29 февраля → 29 mod 10 = 9). Сохранить изображения. Загрузить, предобработать и подать на вход обученной нейронной сети собственные изображения. Вывести изображения и результаты распознавания. + +```py +# загрузка собственного изображения +from PIL import Image +file_data = Image.open('test5.png') +file_data = file_data.convert('L') # перевод в градации серого +test_img = np.array(file_data) + +# вывод собственного изображения +plt.imshow(test_img, cmap=plt.get_cmap('gray')) +plt.show() +# предобработка +test_img = test_img / 255 +test_img = test_img.reshape(1, num_pixels) +# распознавание +result = model.predict(test_img) +print('I think it\'s ', np.argmax(result)) +``` + +![I think it`s 5](Рисунок13.png) + +I think it`s 5 + +![I think it`s 3](Рисунок15.png) + +I think it`s 3 + +## 14) Каждому члену бригады создать копию собственного изображения, отличающуюся от оригинала поворотом на 90 градусов в любую сторону. Сохранить изображения. Загрузить, предобработать и подать на вход обученной нейронной сети измененные изображения. Вывести изображения и результаты распознавания. Сделать выводы по результатам эксперимента. + +```py +from PIL import Image +file_data = Image.open('test5per.png') +file_data = file_data.convert('L') # перевод в градации серого +test_img = np.array(file_data) +``` + +![I think it`s 8](Рисунок14.png) + +I think it`s 8 + +![I think it`s 4](Рисунок16.png) + +I think it`s 4 + +### Вывод: первую пару изображений нейросеть смогла правильно распознать, однако их перевёрнутые версии - нет. 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