dd/MDA/project/Main.ipynb
2025-02-13 11:06:03 +04:00

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{
"metadata": {
"kernelspec": {
"name": "python",
"display_name": "Python (Pyodide)",
"language": "python"
},
"language_info": {
"codemirror_mode": {
"name": "python",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8"
}
},
"nbformat_minor": 5,
"nbformat": 4,
"cells": [
{
"id": "7669f948-8d8e-460f-a6b4-e4358db9ec58",
"cell_type": "code",
"source": "import matplotlib.pyplot as plt\nimport pandas as pd\nfrom sklearn.preprocessing import StandardScaler, MinMaxScaler\nfrom statsmodels.tsa.holtwinters import ExponentialSmoothing",
"metadata": {
"trusted": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "Matplotlib is building the font cache; this may take a moment.\n"
}
],
"execution_count": 1
},
{
"id": "b0fa9e7b-c123-4b1e-8918-2397e77429c8",
"cell_type": "markdown",
"source": "Определим функцию сглаживания временного ряда, она понадобится позже\nНапример:\n1. Метод скользящего окна. Параметр window задает ширину окна усреднения значений.\n\n ``return ts.rolling(window=5).mean()``\n\n2. Метод экспоненциального сглаживания (метод Хольта-Уинтерса)\n\n\n варианты для параметра trend: \"add\", \"mul\", \"additive\", \"multiplicative\", None\n\n\n варианты для параметра seasonal: \"add\", \"mul\", \"additive\", \"multiplicative\", None\n\n\n seasonal_periods задает для модели предполагаемый интервал сезонности, когда ВР будет иметь похожие уровни и тенденции\n\n ``model = ExponentialSmoothing(ts, trend=\"additive\", seasonal=\"additive\", seasonal_periods=5)``\n ``return model.fit().fittedvalues``",
"metadata": {}
},
{
"id": "b1525171-5f8b-410e-8b04-599757b1afe1",
"cell_type": "code",
"source": "def smooth_time_series(ts):\n model = ExponentialSmoothing(ts, trend=\"additive\", seasonal=\"additive\", seasonal_periods=5)\n return model.fit().fittedvalues",
"metadata": {
"trusted": true
},
"outputs": [],
"execution_count": 2
},
{
"id": "6e2859e5-739e-4b49-8999-4a54aeebb903",
"cell_type": "markdown",
"source": "Для чтения из файла необходимо взять временные ряды из предложенных наборов и сохранить в csv файл как показано в примере, сформировав датасет",
"metadata": {}
},
{
"id": "64bdc662-a64e-43be-a3d6-f4327b29f477",
"cell_type": "code",
"source": "dataset = pd.read_csv(\"ts2.csv\", delimiter=\";\")",
"metadata": {
"trusted": true
},
"outputs": [],
"execution_count": 3
},
{
"id": "345981a3-8b6d-42dc-b5ab-aed2bdcce8d8",
"cell_type": "markdown",
"source": "после того как файл был прочтен, можно вывести содержимое временных рядов в консоль",
"metadata": {}
},
{
"id": "c228b5b9-5bfb-4786-887d-857d9b3409c7",
"cell_type": "code",
"source": "print(dataset)",
"metadata": {
"trusted": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " first second third\n0 3 2.500000 1\n1 2 2.833333 2\n2 3 2.966667 3\n3 3 3.066667 4\n4 4 4.383333 5\n5 6 6.466667 6\n6 5 5.416667 7\n7 5 5.433333 8\n8 5 5.583333 9\n9 5 5.683333 10\n10 5 5.150000 11\n11 5 5.633333 12\n12 6 6.033333 13\n13 12 12.866667 14\n14 6 6.783333 15\n15 6 6.500000 16\n"
}
],
"execution_count": 4
},
{
"id": "e53b79b2-74e0-492d-bcab-5f3c47c25175",
"cell_type": "markdown",
"source": "Для выполнения первой части задания необходимо подобрать метод и параметры сглаживания временного ряда. Для этого выше реализован пример функции ``smooth_time_series``",
"metadata": {}
},
{
"id": "74674c95-9af6-4b5a-ab08-30fe89c4e05e",
"cell_type": "code",
"source": "sds = dataset.apply(smooth_time_series)\n\nplt.plot(sds)\nplt.plot(dataset)\nplt.legend(['sm first', 'sm second', 'sm third', 'first', 'second', 'third'])\nplt.show()",
"metadata": {
"trusted": true
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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"
},
"metadata": {}
}
],
"execution_count": 19
},
{
"id": "01e366c4-d7c0-4a01-85b7-f24c4383766d",
"cell_type": "markdown",
"source": "Выполним нормализацию. Варианты: MinMaxScaler; MaxAbsScaler; RobustScaler; StandardScaler",
"metadata": {}
},
{
"id": "e609b470-19b7-4f52-af0d-b2643e926779",
"cell_type": "code",
"source": "df = pd.DataFrame(MinMaxScaler().fit_transform(sds), columns=sds.columns)\nprint(df)",
"metadata": {
"trusted": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " first second third\n0 0.032607 0.000000 0.000000\n1 0.000000 0.057355 0.066665\n2 0.113045 0.085473 0.133331\n3 0.452163 0.447628 0.199999\n4 0.169570 0.209032 0.266668\n5 0.306525 0.276186 0.333334\n6 0.273918 0.333541 0.399998\n7 0.386963 0.361659 0.466664\n8 0.726082 0.723814 0.533332\n9 0.443488 0.485218 0.600001\n10 0.580444 0.552372 0.666667\n11 0.547837 0.609727 0.733331\n12 0.660882 0.637845 0.799997\n13 1.000000 1.000000 0.866665\n14 0.717407 0.761404 0.933334\n15 0.854362 0.828558 1.000000\n"
}
],
"execution_count": 6
},
{
"id": "8d7324a5-0610-4ac6-b270-1f0eedf00c2f",
"cell_type": "markdown",
"source": "Расчет степени корреляции между сглаженными временными рядами",
"metadata": {}
},
{
"id": "5e1850c7-17c7-49ae-9b71-594934054b03",
"cell_type": "code",
"source": "matrix = df.corr()\nprint(matrix)",
"metadata": {
"trusted": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " first second third\nfirst 1.000000 0.992092 0.904237\nsecond 0.992092 1.000000 0.916556\nthird 0.904237 0.916556 1.000000\n"
}
],
"execution_count": 7
},
{
"id": "cbe8bb83-5958-4e9c-8963-ad04d5653eb8",
"cell_type": "markdown",
"source": "Для примера сравним корреляцию для несглаженных временных рядов",
"metadata": {}
},
{
"id": "07268810-4221-49b0-8c59-a07470f15a4e",
"cell_type": "code",
"source": "matrix2 = dataset.corr()\nprint(matrix2)",
"metadata": {
"trusted": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " first second third\nfirst 1.000000 0.990651 0.704796\nsecond 0.990651 1.000000 0.722877\nthird 0.704796 0.722877 1.000000\n"
}
],
"execution_count": 8
},
{
"id": "4c5a24e1-0734-4aaa-9212-56eadadd273f",
"cell_type": "markdown",
"source": "Визуализация матрицы корреляции:",
"metadata": {}
},
{
"id": "d3e09b25-63ec-4c52-9013-19f4be727ffb",
"cell_type": "code",
"source": "plt.imshow(matrix, cmap='Blues')\nplt.colorbar()\nvariables = []\nfor i in matrix.columns:\n variables.append(i)\nplt.xticks(range(len(matrix)), variables, rotation=45, ha='right')\nplt.yticks(range(len(matrix)), variables)\nplt.show()",
"metadata": {
"trusted": true
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 640x480 with 2 Axes>",
"image/png": 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"
},
"metadata": {}
}
],
"execution_count": 9
}
]
}