4laba/week4_scikit_learn.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"id": "abb8561a-8b50-44e7-b49d-077aa08721b3",
"metadata": {},
"source": [
"# Spectral Clustering for Image Segmentation \n",
"или \n",
"# Classification with SVM / Random Forest / MLPClassifier \n",
"\n",
"## Цель задачи \n",
"Продемонстрировать работу алгоритма спектральной кластеризации как метода Normalized Graph Cuts для разделения объектов на изображении.\n",
"\n",
"## Алгоритм \n",
"Спектральная кластеризация рассматривает изображение как граф связанных пикселей и разделяет его на регионы, минимизируя отношение градиента на границе и объёма региона.\n",
"\n",
"## Этапы анализа \n",
"1. Использование синтетического датасета: изображение с четырьмя пересекающимися окружностями. \n",
"2. Применение спектральной кластеризации для их разделения. \n",
"3. Повторение с двумя окружностями для сравнения. \n",
"4. Дополнительно: использование внешнего датасета (например, цифры MNIST)."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "13e4b293-fd5b-49d3-9061-9b3cdc40fa52",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"l = 100\n",
"x, y = np.indices((l, l))\n",
"\n",
"center1 = (28, 24)\n",
"center2 = (40, 50)\n",
"radius1, radius2 = 16, 14\n",
"\n",
"circle1 = (x - center1[0]) ** 2 + (y - center1[1]) ** 2 < radius1**2\n",
"circle2 = (x - center2[0]) ** 2 + (y - center2[1]) ** 2 < radius2**2\n",
"\n",
"img = circle1 + circle2\n",
"mask = img.astype(bool)\n",
"img = img.astype(float)\n",
"img += 0.2 * np.random.randn(*img.shape)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "ee08af55-f61a-4acf-a3b6-afb7fe619ef1",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.feature_extraction import image\n",
"from sklearn.cluster import spectral_clustering\n",
"import matplotlib.pyplot as plt\n",
"\n",
"graph = image.img_to_graph(img, mask=mask)\n",
"graph.data = np.exp(-graph.data / graph.data.std())\n",
"\n",
"labels = spectral_clustering(graph, n_clusters=2, eigen_solver=\"arpack\")\n",
"label_im = np.full(mask.shape, -1.0)\n",
"label_im[mask] = labels\n",
"\n",
"fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
"axs[0].imshow(img, cmap='gray')\n",
"axs[1].imshow(label_im, cmap='viridis')\n",
"plt.suptitle(\"Сегментация двух кругов\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "2e01070e-3549-4fe0-836a-8ddc962f7bc2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.datasets import fetch_openml\n",
"\n",
"X, y = fetch_openml('mnist_784', version=1, return_X_y=True, parser='auto')\n",
"\n",
"digit = X.iloc[0].values.reshape(28, 28)\n",
"digit_large = zoom(digit, 100 / 28)\n",
"binary_digit = digit_large > 100\n",
"mask = binary_digit.astype(bool)\n",
"\n",
"noisy_digit = binary_digit.astype(float) + 0.2 * np.random.randn(*binary_digit.shape)\n",
"\n",
"graph = image.img_to_graph(noisy_digit, mask=mask)\n",
"graph.data = np.exp(-graph.data / graph.data.std())\n",
"labels = spectral_clustering(graph, n_clusters=2, eigen_solver=\"arpack\")\n",
"\n",
"label_im = np.full(mask.shape, -1.0)\n",
"label_im[mask] = labels\n",
"\n",
"fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
"axs[0].imshow(noisy_digit, cmap='gray')\n",
"axs[1].imshow(label_im, cmap='viridis')\n",
"plt.suptitle(\"Сегментация цифры из MNIST\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "9094dcf8-2f0e-4347-b38d-11b625e76503",
"metadata": {},
"source": [
"## Интерпретация результатов\n",
"\n",
"### Визуальный анализ\n",
"- При сегментации 2 кругов спектральная кластеризация успешно делит изображение на 2 области.\n",
"- Однако, если круги сильно различаются по размеру, сегментация может быть нестабильной.\n",
"- При работе с реальным изображением (цифра MNIST) сегментация также работает корректно, хотя требует дополнительной предобработки.\n",
"\n",
"### Почему работает?\n",
"- Спектральная кластеризация использует информацию о градиенте между соседними пикселями.\n",
"- Функция `np.exp(-graph.data / std())` усиливает разницу между границами и внутренними частями объектов.\n",
"\n",
"### Ограничения\n",
"- Чувствительна к дисбалансу размеров объектов.\n",
"- Не работает хорошо без чётких границ между объектами.\n",
"- Требует ручного подбора количества кластеров (`n_clusters`).\n",
"\n",
"### Возможные улучшения\n",
"- Использовать другие методы сегментации: Watershed, U-Net, Region Growing.\n",
"- Автоматическое определение числа кластеров.\n",
"- Применять предобработку изображений (фильтрация, бинаризация, выделение контуров)."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "c9f1858d-4046-43db-b80c-46e9c3c85bfb",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\alexe\\OneDrive\\Рабочий стол\\4laba\\venv\\Lib\\site-packages\\sklearn\\manifold\\_spectral_embedding.py:329: UserWarning: Graph is not fully connected, spectral embedding may not work as expected.\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.datasets import fetch_olivetti_faces\n",
"\n",
"faces = fetch_olivetti_faces()\n",
"face_img = faces.images[0]\n",
"face_img += 0.2 * np.random.randn(*face_img.shape)\n",
"mask_face = face_img > 0.5\n",
"\n",
"graph_face = image.img_to_graph(face_img, mask=mask_face)\n",
"graph_face.data = np.exp(-graph_face.data / graph_face.data.std())\n",
"\n",
"labels_face = spectral_clustering(graph_face, n_clusters=4, eigen_solver=\"arpack\")\n",
"\n",
"label_im_face = np.full(mask_face.shape, -1.0)\n",
"label_im_face[mask_face] = labels_face\n",
"\n",
"fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
"axs[0].imshow(face_img, cmap='gray')\n",
"axs[1].imshow(label_im_face, cmap='viridis')\n",
"plt.suptitle(\"Сегментация лица\")\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}