laba_4/.ipynb_checkpoints/week4_scikit_learn.ipynb-checkpoint.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"id": "a04836ce-8b28-4ffa-ba68-f3d946432b60",
"metadata": {},
"source": [
"# Базовая нейросеть"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "28fe8029-2d0a-402e-ac65-f4a23b65d3d8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 0 1.00 1.00 1.00 10\n",
" 1 1.00 0.92 0.96 13\n",
" 2 0.88 1.00 0.93 7\n",
"\n",
" accuracy 0.97 30\n",
" macro avg 0.96 0.97 0.96 30\n",
"weighted avg 0.97 0.97 0.97 30\n",
"\n"
]
}
],
"source": [
"from sklearn.datasets import load_iris\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.neural_network import MLPClassifier\n",
"from sklearn.metrics import classification_report\n",
"\n",
"# Загрузка и разбиение данных\n",
"X, y = load_iris(return_X_y=True)\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2)\n",
"\n",
"# Модель MLP — многослойный перцептрон\n",
"clf = MLPClassifier(hidden_layer_sizes=(10,), activation='relu', max_iter=2200)\n",
"clf.fit(X_train, y_train)\n",
"\n",
"# Отчёт о точности\n",
"print(classification_report(y_test, clf.predict(X_test)))\n"
]
},
{
"cell_type": "markdown",
"id": "e33a9880-cfb2-4062-a559-da274dc58958",
"metadata": {},
"source": [
"# Самостоятельное задание"
]
},
{
"cell_type": "markdown",
"id": "2eb2d351-1a98-4c6d-b2f3-699190aa6d29",
"metadata": {},
"source": [
"# 1. Цель задачи\n",
"# **Цель данной работы** — продемонстрировать применение алгоритма кластеризации HDBSCAN на синтетических данных, а затем на реальном датасете (Credit Card Fraud Detection). HDBSCAN — это алгоритм кластеризации на основе плотности, который автоматически определяет количество кластеров и устойчив к выбросам."
]
},
{
"cell_type": "markdown",
"id": "7c70e761-c219-46de-85c7-194d9d4d526a",
"metadata": {},
"source": [
"# 2. Работа с синтетическими данными"
]
},
{
"cell_type": "markdown",
"id": "e7436e14-6193-4d03-aa67-eb39fe5488e4",
"metadata": {},
"source": [
"## 2.1 Импорт библиотек"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "fa20ed8e-4dce-4361-93a3-5d196c6a1588",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.datasets import make_blobs\n",
"from sklearn.preprocessing import StandardScaler\n",
"import hdbscan\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"id": "94282d20-92c6-4aba-b70c-9f0aecf617e7",
"metadata": {},
"source": [
"## 2.2 Генерация данных"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "48604873-cb28-4f59-8ca3-f03ab5a54b26",
"metadata": {},
"outputs": [],
"source": [
"X, y = make_blobs(n_samples=1000, centers=3, cluster_std=0.8, random_state=42)\n",
"X = StandardScaler().fit_transform(X) # Масштабирование"
]
},
{
"cell_type": "markdown",
"id": "7a5703b6-97d7-4592-8cfd-7fd1ecdb2817",
"metadata": {},
"source": [
"## 2.3 Масштабирование данных"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "5b62beb6-1a1b-4a6b-918a-53fe78c727e5",
"metadata": {},
"outputs": [],
"source": [
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"id": "fcd6e361-76f2-4182-9298-320908fb8ad2",
"metadata": {},
"source": [
"## 2.4 Визуализация данных"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "13405a54-9db4-4d06-a46e-16ebbf025d05",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 6))\n",
"plt.scatter(X[:, 0], X[:, 1], s=10, alpha=0.7)\n",
"plt.title(\"Сгенерированные данные\")\n",
"plt.xlabel(\"Feature 1\")\n",
"plt.ylabel(\"Feature 2\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "a7bdf3ca-bee1-48d3-812d-96b3dd2e8818",
"metadata": {},
"source": [
"## 3. Обучение модели HDBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "99d0ead8-43f7-4ef5-8277-cea3ca78fc70",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Найдено кластеров: 3\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\1\\Desktop\\laba_4\\.venv\\Lib\\site-packages\\sklearn\\utils\\deprecation.py:151: FutureWarning: 'force_all_finite' was renamed to 'ensure_all_finite' in 1.6 and will be removed in 1.8.\n",
" warnings.warn(\n",
"C:\\Users\\1\\Desktop\\laba_4\\.venv\\Lib\\site-packages\\sklearn\\utils\\deprecation.py:151: FutureWarning: 'force_all_finite' was renamed to 'ensure_all_finite' in 1.6 and will be removed in 1.8.\n",
" warnings.warn(\n"
]
}
],
"source": [
"clusterer = hdbscan.HDBSCAN(min_cluster_size=15, gen_min_span_tree=True)\n",
"clusterer.fit(X_scaled)\n",
"labels = clusterer.labels_\n",
"n_clusters = len(np.unique(labels)) - (1 if -1 in labels else 0)\n",
"print(f\"Найдено кластеров: {n_clusters}\")"
]
},
{
"cell_type": "markdown",
"id": "08afa788-0785-4381-9838-5872a58b8c5e",
"metadata": {},
"source": [
"## 4. Визуализация предсказанных кластеров"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "ef33f2cf-f37c-4db4-9f01-62a6686972d4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 6))\n",
"plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', s=10, alpha=0.7)\n",
"plt.title(\"Кластеризация HDBSCAN\")\n",
"plt.xlabel(\"Feature 1\")\n",
"plt.ylabel(\"Feature 2\")\n",
"plt.colorbar()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "f7041f87-dd7e-4741-b904-76272d36cbec",
"metadata": {},
"source": [
"# 5. Интерпретация результатов\n",
"## HDBSCAN успешно выделил 3 кластера, соответствующих исходному распределению. Точки, помеченные как -1, являются шумом. Алгоритм автоматически определил количество кластеров, что делает его удобным для задач, где число кластеров заранее неизвестно."
]
},
{
"cell_type": "markdown",
"id": "2b9f34c6-7f73-4317-b303-9ab420f7b14d",
"metadata": {},
"source": [
"# 6. Применение HDBSCAN к реальным данным (Credit Card Fraud Detection)"
]
},
{
"cell_type": "markdown",
"id": "c20d2e63-0f8a-4d11-b559-aa2c02860870",
"metadata": {},
"source": [
"## 6.1 Импорт библиотек"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "f1e40cbc-61f4-4812-8074-86fb2d75986f",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.impute import SimpleImputer\n",
"import hdbscan\n",
"import matplotlib.pyplot as plt\n"
]
},
{
"cell_type": "markdown",
"id": "33f92e11-69dd-4fb4-bab6-8c2eb206fbda",
"metadata": {},
"source": [
"## 6.2 Получение данных"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "816c7bf8-b133-4635-89d3-9fade744f8df",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Пропущенные значения:\n",
" Time 0\n",
"V1 0\n",
"V2 0\n",
"V3 0\n",
"V4 0\n",
"V5 0\n",
"V6 0\n",
"V7 0\n",
"V8 0\n",
"V9 0\n",
"V10 0\n",
"V11 0\n",
"V12 0\n",
"V13 0\n",
"V14 0\n",
"V15 0\n",
"V16 0\n",
"V17 0\n",
"V18 0\n",
"V19 0\n",
"V20 0\n",
"V21 0\n",
"V22 0\n",
"V23 0\n",
"V24 0\n",
"V25 0\n",
"V26 1\n",
"V27 1\n",
"V28 1\n",
"Amount 1\n",
"Class 1\n",
"dtype: int64\n",
"Оставшееся количество строк: 71395\n",
"NaN после удаления: 0\n"
]
}
],
"source": [
"# Загрузка данных\n",
"data = pd.read_csv(\"creditcard.csv\") # Загрузка датасета мошенничества с кредитными картами\n",
"\n",
"# Подготовка данных\n",
"X = data.drop(columns=['Class', 'Time']) # Убираем метки и временные признаки\n",
"y = data['Class']\n",
"\n",
"# Проверяем пропущенные значения\n",
"print(\"Пропущенные значения:\\n\", data.isnull().sum())\n",
"\n",
"# Удаляем строки с NaN (если их мало)\n",
"data_cleaned = data.dropna()\n",
"print(\"Оставшееся количество строк:\", len(data_cleaned))\n",
"\n",
"# Обновляем X и y после очистки\n",
"X = data_cleaned.drop(columns=['Class', 'Time'])\n",
"y = data_cleaned['Class']\n",
"\n",
"# Проверяем, остались ли NaN после удаления\n",
"print(\"NaN после удаления:\", X.isnull().sum().sum())"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "a0e9d006-e745-44ba-8392-6f75eef3a60c",
"metadata": {},
"outputs": [],
"source": [
"if X.isnull().sum().sum() > 0:\n",
" imputer = SimpleImputer(strategy='median') # Заполняем медианой\n",
" X = pd.DataFrame(imputer.fit_transform(X), columns=X.columns)\n",
" print(\"NaN после заполнения:\", X.isnull().sum().sum())"
]
},
{
"cell_type": "markdown",
"id": "078fde24-70cb-4f93-baa9-39f632fa1c0a",
"metadata": {},
"source": [
"## 6.3 Масштабирование данных"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "c6f23af1-012f-45de-8f90-dc60badcf3d0",
"metadata": {},
"outputs": [],
"source": [
"\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)\n",
"\n",
"# Проверяем, что в данных нет NaN перед PCA\n",
"assert not np.isnan(X_scaled).any(), \"Остались пропущенные значения!\"\n",
"\n",
"pca = PCA(n_components=2)\n",
"X_pca = pca.fit_transform(X_scaled)\n"
]
},
{
"cell_type": "markdown",
"id": "07bad5bc-5246-4bed-9d7a-7e170c1d21c7",
"metadata": {},
"source": [
"## 6.4 Визуализация данных (PCA для уменьшения размерности)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "2402deac-f282-4d32-812e-c36fd6aaae97",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"\n",
"pca = PCA(n_components=2)\n",
"X_pca = pca.fit_transform(X_scaled)\n",
"\n",
"plt.figure(figsize=(8, 6))\n",
"plt.scatter(X_pca[:, 0], X_pca[:, 1], s=10, alpha=0.5)\n",
"plt.title(\"Данные кредитных транзакций (PCA)\")\n",
"plt.xlabel(\"Principal Component 1\")\n",
"plt.ylabel(\"Principal Component 2\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "635decfc-ef06-42ba-94c1-8bf91a147f8b",
"metadata": {},
"source": [
"## 7. Обучение HDBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "be6659d0-5262-483f-a9ac-4db1b71fb8d4",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\1\\Desktop\\laba_4\\.venv\\Lib\\site-packages\\sklearn\\utils\\deprecation.py:151: FutureWarning: 'force_all_finite' was renamed to 'ensure_all_finite' in 1.6 and will be removed in 1.8.\n",
" warnings.warn(\n",
"C:\\Users\\1\\Desktop\\laba_4\\.venv\\Lib\\site-packages\\sklearn\\utils\\deprecation.py:151: FutureWarning: 'force_all_finite' was renamed to 'ensure_all_finite' in 1.6 and will be removed in 1.8.\n",
" warnings.warn(\n"
]
}
],
"source": [
"\n",
"clusterer = hdbscan.HDBSCAN(min_cluster_size=50)\n",
"clusterer.fit(X_pca)\n",
"labels = clusterer.labels_"
]
},
{
"cell_type": "markdown",
"id": "5f528617-1185-4c71-946c-1bf49923d854",
"metadata": {},
"source": [
"## 8. Визуализация предсказанных выбросов"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "5ddb47d3-397f-44ab-bb74-daad979edfdd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.scatter(X_pca[:, 0], X_pca[:, 1], c=labels, cmap='viridis', alpha=0.5)\n",
"plt.colorbar(label='Кластер')\n",
"plt.title(\"Кластеризация транзакций (HDBSCAN + PCA)\")\n",
"plt.xlabel(\"Principal Component 1\")\n",
"plt.ylabel(\"Principal Component 2\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "9ab20dea-bad5-4047-81f4-55bc75c83108",
"metadata": {},
"source": [
"## 9. Интерпретация результатов\n",
"## HDBSCAN выделил несколько кластеров, при этом точки с label=-1 могут рассматриваться как аномалии (подозрительные транзакции). Сравнение с реальными метками (Class=1 — мошенничество) показывает, что алгоритм может быть полезен для обнаружения мошеннических операций."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f0236dde-6733-4939-adb8-9228a080084a",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.11.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}