{ "cells": [ { "cell_type": "markdown", "id": "c1eaeac3", "metadata": {}, "source": [ "1. Introduction\n", "2. Why use two data types(market & twitter)?\n", "3. Data extraction\n", "4. Data cleaning & pre-processing\n", "5. Exploratory Data Analysis (EDA)\n", "6. Feature engineering\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "e6cc8acc", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import datetime\n", "\n", "import quandl\n", "quandl.ApiConfig.api_key = \"_HpCpqL1nNyZAKVnpum1\"\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from statsmodels.tsa.seasonal import STL" ] }, { "cell_type": "code", "execution_count": null, "id": "eed04da0", "metadata": {}, "outputs": [], "source": [ "# settings\n", "plt.style.use('seaborn-deep')" ] }, { "cell_type": "code", "execution_count": 3, "id": "57a6d34d", "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "b02b0436", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowClose
Date
2021-09-2026379.2726517.1926015.3826100.41
2021-09-2126017.7226306.0825862.0226280.50
2021-09-2226343.5126458.5126304.0926394.55
2021-09-2326499.7726597.1526445.6226578.33
2021-09-2426646.4726719.9426165.1026207.36
2021-09-2726228.9626295.6525857.1825906.43
2021-09-2825956.7625995.4725528.2425786.52
2021-09-2925786.9126136.1725711.3725993.15
2021-09-3026088.4026272.8125992.8826092.64
2021-10-0126031.1826276.8625973.7026249.73
\n", "
" ], "text/plain": [ " Open High Low Close\n", "Date \n", "2021-09-20 26379.27 26517.19 26015.38 26100.41\n", "2021-09-21 26017.72 26306.08 25862.02 26280.50\n", "2021-09-22 26343.51 26458.51 26304.09 26394.55\n", "2021-09-23 26499.77 26597.15 26445.62 26578.33\n", "2021-09-24 26646.47 26719.94 26165.10 26207.36\n", "2021-09-27 26228.96 26295.65 25857.18 25906.43\n", "2021-09-28 25956.76 25995.47 25528.24 25786.52\n", "2021-09-29 25786.91 26136.17 25711.37 25993.15\n", "2021-09-30 26088.40 26272.81 25992.88 26092.64\n", "2021-10-01 26031.18 26276.86 25973.70 26249.73" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ticker_mapping = {\n", "# \"INFY\": \"BOM500209\",\n", "# \"TCS\": \"BOM532540\",\n", "# \"HCLTECH\": \"BOM532281\",\n", "# \"TECHM\": \"BOM532755\",\n", "#\n", "# }\n", "date_today = datetime.date.today()\n", "data = quandl.get(\"BSE/SI0800\", start_date=\"2000-01-01\", end_date=date_today.isoformat())\n", "data.tail()" ] }, { "cell_type": "code", "execution_count": null, "id": "8f23ede3", "metadata": {}, "outputs": [], "source": [ "data.shape" ] }, { "cell_type": "code", "execution_count": null, "id": "a6b61866", "metadata": {}, "outputs": [], "source": [ "data.columns" ] }, { "cell_type": "code", "execution_count": 5, "id": "334f6500", "metadata": {}, "outputs": [], "source": [ "ts = data[\"Close\"]" ] }, { "cell_type": "code", "execution_count": null, "id": "3c7cd954", "metadata": {}, "outputs": [], "source": [ "ts.index" ] }, { "cell_type": "code", "execution_count": 8, "id": "71ea6253", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "test_size = 0.2\n", "sep_index = int((1 - test_size) * len(ts))\n", "train_ts, test_ts = ts.iloc[: sep_index], ts.iloc[sep_index: ]\n", "\n", "ticker_name = \"BSE Healthcare\"\n", "\n", "# plot train and test data\n", "plt.figure(figsize=(15, 7))\n", "plt.title(\"{} Index\".format(ticker_name))\n", "plt.xlabel(\"Year\")\n", "plt.ylabel(\"Price\")\n", "plt.plot(train_ts, color=\"blue\")\n", "plt.plot(test_ts, color=\"red\")\n", "plt.legend([\"Training data\", \"Testing data\"])" ] }, { "cell_type": "code", "execution_count": null, "id": "e3fbaba4", "metadata": {}, "outputs": [], "source": [ "train_ts.shape, test_ts.shape" ] }, { "cell_type": "markdown", "id": "bf2aab03", "metadata": {}, "source": [ "# Training data sanity check" ] }, { "cell_type": "code", "execution_count": null, "id": "f7ec889a", "metadata": {}, "outputs": [], "source": [ "train_ts.describe()" ] }, { "cell_type": "code", "execution_count": null, "id": "2ddb6ab4", "metadata": {}, "outputs": [], "source": [ "train_ts.isnull().sum()" ] }, { "cell_type": "code", "execution_count": null, "id": "702777dc", "metadata": {}, "outputs": [], "source": [ "# probability distribution\n", "plt.figure(figsize=(15, 7))\n", "sns.distplot(train_ts)\n", "plt.title(\"Probability distribution of '{}' closing price\".format(ticker_name))\n", "plt.ylabel(\"Probability\")\n", "plt.xlabel(\"Close Price\")" ] }, { "cell_type": "markdown", "id": "a669f03e", "metadata": {}, "source": [ "# Forward chaining cross-validation" ] }, { "cell_type": "code", "execution_count": 85, "id": "7755e2b3", "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import TimeSeriesSplit\n", "\n", "from sklearn.metrics import mean_squared_error, mean_absolute_percentage_error\n", "\n", "def score_model(model, data, fit_config=None, test_period=20, plot=False):\n", " tscv = TimeSeriesSplit(test_size=test_period)\n", " rmse_scores, mape_scores = [], []\n", " i = 1\n", " if plot:\n", " fig, ax = plt.subplots(figsize=(15, 7))\n", " ax.set(title=\"True vs Predicted for all '5' folds in forward chaining CV\", xlabel=\"Day\", ylabel=\"Value\")\n", " for cv_train, cv_test in tscv.split(data):\n", "# if fit_config:\n", "# model.fit(data[cv_train], fit_config)\n", "# else:\n", "# model.fit(data[cv_train])\n", " model.fit(data[cv_train], fit_config)\n", " y_pred = model.predict(len(cv_test)) # TODO\n", " if plot:\n", " ax.plot(data[cv_test].index, data[cv_test].values, \".\",\n", " label=\"CV {}: train {}, test {} size\".format(i, len(cv_train), len(cv_test)))\n", " ax.plot(data[cv_test].index, y_pred, linewidth=1, linestyle=\"-.\", color=\"k\")\n", " ax.legend()\n", " rmse = mean_squared_error(data[cv_test], y_pred, squared=False)\n", " mape = mean_absolute_percentage_error(data[cv_test], y_pred)\n", " print(\"CV {}: RMSE = {:.3f}, MAPE = {:.3f}\".format(i, rmse, mape))\n", " rmse_scores.append(rmse)\n", " mape_scores.append(mape)\n", " i += 1\n", " print(\"Average scores: RMSE(mean) = {:.3f}, MAPE(mean) = {:.3f}\".format(sum(rmse_scores) / len(rmse_scores),\n", " sum(mape_scores) / len(mape_scores)))" ] }, { "cell_type": "markdown", "id": "2d5e1355", "metadata": {}, "source": [ "# Baseline Model 1: Latest train value predictor" ] }, { "cell_type": "code", "execution_count": 86, "id": "8eb6d8e4", "metadata": {}, "outputs": [], "source": [ "class LatestPreviousValueBaselineModel:\n", " def __init__(self):\n", " self.latest_train_value = -1\n", " def fit(self, data, fit_config):\n", " self.latest_train_value = data[-1]\n", " def predict(self, period=1):\n", " return pd.Series([self.latest_train_value] * period)" ] }, { "cell_type": "code", "execution_count": 87, "id": "f33d707e", "metadata": {}, "outputs": [], "source": [ "lpv_baseModel = LatestPreviousValueBaselineModel()" ] }, { "cell_type": "code", "execution_count": 88, "id": "eb0d0540", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CV 1: RMSE = 1162.520, MAPE = 0.413\n", "CV 2: RMSE = 710.388, MAPE = 0.163\n", "CV 3: RMSE = 1386.042, MAPE = 0.271\n", "CV 4: RMSE = 2262.569, MAPE = 0.199\n", "CV 5: RMSE = 5010.966, MAPE = 0.302\n", "Average scores: RMSE(mean) = 2106.497, MAPE(mean) = 0.269\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "score_model(lpv_baseModel, train_ts, test_period=None, plot=True)" ] }, { "cell_type": "markdown", "id": "3f49435b", "metadata": {}, "source": [ "# Baseline Model 2: Simple Linear Regression" ] }, { "cell_type": "code", "execution_count": null, "id": "c5e1d0cd", "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "class LinearRegressionBaselineModel:\n", " def __init__(self):\n", " self.model = LinearRegression()\n", " self.train_end_date = None\n", " def fit(self, data, fit_config):\n", " self.train_start_date = data.index[0]\n", " self.train_end_date = data.index[-1]\n", " X_train = (data.index - data.index[0]).days.values.reshape(-1, 1)\n", " y_train = data.values\n", " self.model.fit(X_train, y_train)\n", " def predict(self, period=1):\n", " test_range = pd.date_range(start=self.train_end_date, periods=period + 1)\n", " X_test = (test_range - self.train_end_date).days.values[1: ].reshape(-1, 1)\n", " return pd.Series(self.model.predict(X_test))" ] }, { "cell_type": "code", "execution_count": null, "id": "8dd1f5f3", "metadata": {}, "outputs": [], "source": [ "lr_baseModel = LinearRegressionBaselineModel()" ] }, { "cell_type": "code", "execution_count": null, "id": "bd3777f7", "metadata": {}, "outputs": [], "source": [ "score_model(lr_baseModel, train_ts, test_period=None, plot=True)" ] }, { "cell_type": "markdown", "id": "3d584b4d", "metadata": {}, "source": [ "# SARIMAX\n", "## Box-Jenkins modeling (included)" ] }, { "cell_type": "markdown", "id": "3e199195", "metadata": {}, "source": [ "### Stationarity tests" ] }, { "cell_type": "markdown", "id": "6a901d2d", "metadata": {}, "source": [ "#### 1. Visual Inspection" ] }, { "cell_type": "code", "execution_count": null, "id": "70f21268", "metadata": {}, "outputs": [], "source": [ "# trend - plotting train data\n", "plt.figure(figsize=(15, 7))\n", "sns.lineplot(data=train_ts)\n", "plt.xlabel(\"Year\")\n", "plt.ylabel(\"Price\")" ] }, { "cell_type": "markdown", "id": "bd598579", "metadata": {}, "source": [ "### # TODO" ] }, { "cell_type": "code", "execution_count": null, "id": "4fdaa63f", "metadata": {}, "outputs": [], "source": [ "# seasonality - plotting year-wise data\n", "yr_groups = train_ts.groupby(pd.Grouper(freq=\"A\"))\n", "yr_wise_df = pd.DataFrame()\n", "for key, yr_group in yr_groups:\n", " yr_wise_df[key.year] = yr_group.values\n", "yr_wise_df.plot(figsize=(20, 10))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "462d5e8e", "metadata": {}, "source": [ "#### 1. Rolling statistics plot" ] }, { "cell_type": "code", "execution_count": null, "id": "95ba4d5d", "metadata": {}, "outputs": [], "source": [ "def get_rolling_statistics(ts, win_size=5, return_data=False):\n", " roll_mean = ts.rolling(win_size).mean()\n", " roll_std = ts.rolling(win_size).std()\n", " fig, ax = plt.subplots(figsize=(15, 7))\n", " ax.set(title=\"Rolling Statistics for window size = {}\".format(win_size),\n", " xlabel=\"Day\", ylabel=\"Value\")\n", " ax.plot(ts, color=\"red\", label=\"Original data\")\n", " ax.plot(roll_mean, color=\"black\", label=\"Rolling mean\")\n", " ax.plot(roll_std, color=\"green\", label=\"Rolling std\")\n", " ax.legend()\n", " if return_data:\n", " return roll_mean" ] }, { "cell_type": "code", "execution_count": null, "id": "ad1bd70e", "metadata": { "scrolled": false }, "outputs": [], "source": [ "get_rolling_statistics(train_ts)" ] }, { "cell_type": "code", "execution_count": null, "id": "4f9a8898", "metadata": {}, "outputs": [], "source": [ "get_rolling_statistics(train_ts, win_size=20)" ] }, { "cell_type": "markdown", "id": "e51543c0", "metadata": {}, "source": [ "#### 2. Augmented Dicky Fuller Test" ] }, { "cell_type": "code", "execution_count": null, "id": "e773cd3d", "metadata": {}, "outputs": [], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "\n", "def adf_stationarity_test(ts, max_lag):\n", " print(\"Aug Dickey-Fuller test results:-\")\n", " dftest = adfuller(ts, maxlag=max_lag)\n", " dfoutput = pd.Series(dftest[: 4], index=[\"ADF statistic\", \"p-value\", \"No. of lags used\", \"No. of obs used\"])\n", " for key, val in dftest[4].items():\n", " dfoutput[\"Critical value ({})\".format(key)] = val\n", " print(round(dfoutput, 3))" ] }, { "cell_type": "code", "execution_count": null, "id": "1d9781a7", "metadata": { "scrolled": true }, "outputs": [], "source": [ "adf_stationarity_test(train_ts, max_lag=5*4)" ] }, { "cell_type": "markdown", "id": "cd27a9ea", "metadata": {}, "source": [ "### Stationarizing train data" ] }, { "cell_type": "markdown", "id": "12117c5d", "metadata": {}, "source": [ "#### 1. Moving Average method" ] }, { "cell_type": "code", "execution_count": null, "id": "524cefbe", "metadata": {}, "outputs": [], "source": [ "moving_avg = get_rolling_statistics(train_ts, win_size=365, return_data=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "b4e0a912", "metadata": {}, "outputs": [], "source": [ "moving_avg.isna().sum()" ] }, { "cell_type": "code", "execution_count": null, "id": "b47ca660", "metadata": {}, "outputs": [], "source": [ "ts_moving_avg_diff = train_ts - moving_avg\n", "ts_moving_avg_diff.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "d9c268f9", "metadata": {}, "outputs": [], "source": [ "ts_moving_avg_diff.isna().sum()" ] }, { "cell_type": "code", "execution_count": null, "id": "9ea2c2b8", "metadata": {}, "outputs": [], "source": [ "ts_moving_avg_diff.dropna(inplace=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "79f4ceed", "metadata": {}, "outputs": [], "source": [ "get_rolling_statistics(ts_moving_avg_diff)" ] }, { "cell_type": "code", "execution_count": null, "id": "141f1868", "metadata": {}, "outputs": [], "source": [ "adf_stationarity_test(ts_moving_avg_diff, max_lag=5*4)" ] }, { "cell_type": "markdown", "id": "ce2d0d24", "metadata": {}, "source": [ "#### 2. Differencing method" ] }, { "cell_type": "code", "execution_count": 42, "id": "b288e066", "metadata": {}, "outputs": [], "source": [ "from statsmodels.tsa.statespace.tools import diff\n", "\n", "def get_differenced_series(ts, d=1, s=0, return_data=False, plot_original_ts=False):\n", " diff_ts = diff(ts, k_diff=d, seasonal_periods=s)\n", " fig, ax = plt.subplots(figsize=(15, 7))\n", " ax.set(title=\"Differenced timeseries: d = {}, s(seasonal period) = {}\".format(d, s),\n", " ylabel=\"Value\", xlabel=\"Day\")\n", " if plot_original_ts:\n", " ax.plot(ts, label=\"Original series\")\n", " ax.plot(diff_ts, label=\"Diff series\")\n", " ax.legend()\n", " if return_data:\n", " return diff_ts" ] }, { "cell_type": "code", "execution_count": null, "id": "96129f8d", "metadata": {}, "outputs": [], "source": [ "get_differenced_series(train_ts, d=1, plot_original_ts=True)" ] }, { "cell_type": "code", "execution_count": 43, "id": "dc2d9646", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "train_ts_diff = get_differenced_series(train_ts, d=1, return_data=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "cc3e2ca2", "metadata": {}, "outputs": [], "source": [ "get_differenced_series(train_ts, d=1, s=5)" ] }, { "cell_type": "code", "execution_count": null, "id": "ebe55713", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "871bff4f", "metadata": {}, "outputs": [], "source": [ " oi " ] }, { "cell_type": "code", "execution_count": null, "id": "c7e4ecf9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "43e49002", "metadata": {}, "outputs": [], "source": [ "get_rolling_statistics(train_ts_diff)" ] }, { "cell_type": "code", "execution_count": null, "id": "91ba8523", "metadata": {}, "outputs": [], "source": [ "adf_stationarity_test(train_ts_diff, max_lag=5*4)" ] }, { "cell_type": "code", "execution_count": 46, "id": "d00b44bc", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", "\n", "acf = plot_acf(train_ts_diff, lags=5, zero=False)\n", "pacf = plot_pacf(train_ts_diff, lags=5, zero=False)" ] }, { "cell_type": "markdown", "id": "bbc98c38", "metadata": {}, "source": [ "#### ARIMA model" ] }, { "cell_type": "code", "execution_count": 11, "id": "02fc36fb", "metadata": {}, "outputs": [], "source": [ "from statsmodels.tsa.arima.model import ARIMA\n", "\n", "model = ARIMA(train_ts, order=(2, 1, 1))\n", "res = model.fit()" ] }, { "cell_type": "code", "execution_count": 51, "id": "4979eae6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.13.0\n" ] } ], "source": [ "import statsmodels\n", "print(statsmodels.__version__)" ] }, { "cell_type": "code", "execution_count": null, "id": "e7d41028", "metadata": {}, "outputs": [], "source": [ "!pip show statsmodels" ] }, { "cell_type": "code", "execution_count": 55, "id": "c45808b7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Date\n", "2017-05-15 15047.11\n", "2017-05-16 15077.01\n", "2017-05-17 15032.04\n", "2017-05-18 14904.64\n", "2017-05-19 14858.05\n", "Name: Close, dtype: float64" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_ts.tail()" ] }, { "cell_type": "code", "execution_count": 38, "id": "c6c5d700", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Closemeanmean_semean_ci_lowermean_ci_upper
Date
2017-05-1815026.17856985.41940714858.75960815193.597529
2017-05-1914892.41976485.41940714725.00080315059.838725
\n", "
" ], "text/plain": [ "Close mean mean_se mean_ci_lower mean_ci_upper\n", "Date \n", "2017-05-18 15026.178569 85.419407 14858.759608 15193.597529\n", "2017-05-19 14892.419764 85.419407 14725.000803 15059.838725" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rlt2 = res.get_prediction(start=len(train_ts) - 2)\n", "df = rlt2.summary_frame()\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 39, "id": "3cb936a6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Closemeanmean_semean_ci_lowermean_ci_upper
Date
2017-05-1914892.41976485.41940714725.00080315059.838725
\n", "
" ], "text/plain": [ "Close mean mean_se mean_ci_lower mean_ci_upper\n", "Date \n", "2017-05-19 14892.419764 85.419407 14725.000803 15059.838725" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rlt2 = res.get_prediction(start=len(train_ts) - 1, end=len(train_ts) - 1)\n", "df = rlt2.summary_frame()\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 35, "id": "288938d2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Date\n", "2017-05-15 15047.11\n", "2017-05-16 15077.01\n", "2017-05-17 15032.04\n", "2017-05-18 14904.64\n", "2017-05-19 14858.05\n", "Name: Close, dtype: float64" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_ts.tail()" ] }, { "cell_type": "code", "execution_count": 16, "id": "2128d94e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Date\n", "2000-01-03 0.000000\n", "2000-01-04 2247.841389\n", "2000-01-05 2290.157183\n", "2000-01-06 2186.384589\n", "2000-01-07 2180.560726\n", "2000-01-10 2109.323796\n", "Name: predicted_mean, dtype: float64" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rlt2.predicted_mean" ] }, { "cell_type": "code", "execution_count": 14, "id": "9e1bd835", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Closemeanmean_semean_ci_lowermean_ci_upper
Date
2000-01-030.0000001003.677780-1967.1723001967.172300
2000-01-042247.84138985.8404712079.5971582416.085619
2000-01-052290.15718385.4447722122.6885062457.625859
2000-01-062186.38458985.4257822018.9531332353.816044
2000-01-072180.56072685.4210092013.1386242347.982828
2000-01-102109.32379685.4198101941.9040452276.743546
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" ], "text/plain": [ "Close mean mean_se mean_ci_lower mean_ci_upper\n", "Date \n", "2000-01-03 0.000000 1003.677780 -1967.172300 1967.172300\n", "2000-01-04 2247.841389 85.840471 2079.597158 2416.085619\n", "2000-01-05 2290.157183 85.444772 2122.688506 2457.625859\n", "2000-01-06 2186.384589 85.425782 2018.953133 2353.816044\n", "2000-01-07 2180.560726 85.421009 2013.138624 2347.982828\n", "2000-01-10 2109.323796 85.419810 1941.904045 2276.743546" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = rlt2.summary_frame()" ] }, { "cell_type": "code", "execution_count": 29, "id": "967da323", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 7))\n", "ax.set(title=\"Training set predictions\", xlabel=\"Day\", ylabel=\"Value\")\n", "ax.plot(train_ts[:10], label=\"Training data\")\n", "ax.plot(df[\"mean\"], label=\"Predictions\", color=\"orange\")\n", "ax.fill_between(df.index.values, df[\"mean_ci_lower\"], df[\"mean_ci_upper\"], color=\"orange\", alpha=0.2)\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 101, "id": "0351d1c5", "metadata": {}, "outputs": [], "source": [ "from statsmodels.tsa.arima.model import ARIMA\n", "\n", "class ArimaModel:\n", " def __init__(self):\n", " self.model = None\n", " self.train_size = None\n", "# def fit(self, data, _order=(0, 0, 0), _seasonal_order=(0, 0, 0, 0),\n", "# plot_train_performance=False):\n", "# self.model = ARIMA(data, order=_order, seasonal_order=_seasonal_order)\n", " def fit(self, data, fit_config, plot_train_performance=False):\n", " try:\n", " self.model = ARIMA(data, **fit_config)\n", " self.model = self.model.fit()\n", " self.train_size = len(data)\n", " if plot_train_performance:\n", " self.__plot_training_performance(data)\n", " except Exception as ex:\n", " print(ex)\n", " def __plot_training_performance(self, data):\n", " train_results = self.model.get_prediction(start=0, end=len(data) - 1).summary_frame()[1: ]\n", " rmse = mean_squared_error(data[1: ], train_results[\"mean\"], squared=False)\n", " mape = mean_absolute_percentage_error(data[1: ], train_results[\"mean\"])\n", " fig, ax = plt.subplots(figsize=(15, 7))\n", " ax.set(title=\"Training set predictions: RMSE = {}, MAPE = {}\".format(rmse, mape),\n", " xlabel=\"Day\", ylabel=\"Value\")\n", "# ax.plot(data, label=\"Training data\")\n", " ax.plot(train_results[\"mean\"], label=\"Predictions\", color=\"orange\")\n", " ax.plot(data, label=\"Training data\")\n", " ax.fill_between(train_results.index.values, train_results[\"mean_ci_lower\"],\n", " train_results[\"mean_ci_upper\"], color=\"orange\", alpha=0.2)\n", " ax.legend()\n", " def predict(self, period=1):\n", " preds = self.model.get_prediction(start=self.train_size, end=self.train_size + period - 1)\n", " return preds.predicted_mean" ] }, { "cell_type": "code", "execution_count": 102, "id": "f125e860", "metadata": {}, "outputs": [], "source": [ "arima_model = ArimaModel()" ] }, { "cell_type": "code", "execution_count": 100, "id": "635e692b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CV 1: RMSE = 1161.523, MAPE = 0.412\n", "CV 2: RMSE = 708.861, MAPE = 0.162\n", "CV 3: RMSE = 1396.598, MAPE = 0.271\n", "CV 4: RMSE = 2269.891, MAPE = 0.200\n", "CV 5: RMSE = 5016.692, MAPE = 0.302\n", "Average scores: RMSE(mean) = 2110.713, MAPE(mean) = 0.269\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "score_model(arima_model, train_ts, fit_config={'order': (2, 1, 2)}, test_period=None, plot=True)" ] }, { "cell_type": "code", "execution_count": 91, "id": "7a518981", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CV 1: RMSE = 1162.520, MAPE = 0.413\n", "CV 2: RMSE = 710.388, MAPE = 0.163\n", "CV 3: RMSE = 1386.042, MAPE = 0.271\n", "CV 4: RMSE = 2262.569, MAPE = 0.199\n", "CV 5: RMSE = 5010.966, MAPE = 0.302\n", "Average scores: RMSE(mean) = 2106.497, MAPE(mean) = 0.269\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# arima_model.fit(train_ts[\"2016\": ], _order=(2, 1, 2), plot_train_performance=True)\n", "arima_model.fit(train_ts[: \"2014\"], {'order': (2, 1, 2)}, plot_train_performance=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "4acff8d3", "metadata": {}, "outputs": [], "source": [ "ax.plot(data[cv_test].index, data[cv_test].values, \".\",\n", " label=\"CV {}: train {}, test {} size\".format(i, len(cv_train), len(cv_test)))\n", " ax.plot(data[cv_test].index, y_pred, linewidth=1, linestyle=\"-.\", color=\"k\")\n", " ax.legend()" ] }, { "cell_type": "code", "execution_count": 75, "id": "259c4820", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "arima_model.fit(train_ts[\"2016\": ], _order=(1, 1, 2), plot_train_performance=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "fe7a8b19", "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "class LinearRegressionBaselineModel:\n", " def __init__(self):\n", " self.model = LinearRegression()\n", " self.train_end_date = None\n", " def fit(self, data):\n", " self.train_start_date = data.index[0]\n", " self.train_end_date = data.index[-1]\n", " X_train = (data.index - data.index[0]).days.values.reshape(-1, 1)\n", " y_train = data.values\n", " self.model.fit(X_train, y_train)\n", " def predict(self, period=1):\n", " test_range = pd.date_range(start=self.train_end_date, periods=period + 1)\n", " X_test = (test_range - self.train_end_date).days.values[1: ].reshape(-1, 1)\n", " return pd.Series(self.model.predict(X_test))" ] }, { "cell_type": "code", "execution_count": null, "id": "04692dde", "metadata": {}, "outputs": [], "source": [ "rlt = res.forecast(steps=20)" ] }, { "cell_type": "code", "execution_count": null, "id": "826ae80e", "metadata": {}, "outputs": [], "source": [ "res.get_predictions(start=0, end=5)" ] }, { "cell_type": "code", "execution_count": null, "id": "cfa3a328", "metadata": {}, "outputs": [], "source": [ "!pip freeze" ] }, { "cell_type": "code", "execution_count": null, "id": "e14fe4c8", "metadata": {}, "outputs": [], "source": [ "!pip install statsmodels --upgrade" ] }, { "cell_type": "code", "execution_count": null, "id": "e40d5c79", "metadata": {}, "outputs": [], "source": [ "type(rlt)" ] }, { "cell_type": "code", "execution_count": null, "id": "17982ae4", "metadata": {}, "outputs": [], "source": [ "rlt" ] }, { "cell_type": "code", "execution_count": null, "id": "6fb0e622", "metadata": {}, "outputs": [], "source": [ "train_ts_diff" ] }, { "cell_type": "code", "execution_count": null, "id": "9e9dbd66", "metadata": {}, "outputs": [], "source": [ "res.fittedvalues" ] }, { "cell_type": "code", "execution_count": null, "id": "f64e1681", "metadata": {}, "outputs": [], "source": [ "res.summary()" ] }, { "cell_type": "code", "execution_count": null, "id": "b349cf45", "metadata": {}, "outputs": [], "source": [ "score_model(lpv_baseModel, train_ts, test_period=None, plot=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "cacc0cd6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1bce5b8e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8caf3204", "metadata": {}, "outputs": [], "source": [ "train_ts.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "d120fa8c", "metadata": {}, "outputs": [], "source": [ "round(train_ts.head())" ] }, { "cell_type": "code", "execution_count": null, "id": "701d980b", "metadata": {}, "outputs": [], "source": [ "adftest = adfuller(train_ts, maxlag=4 * 5)" ] }, { "cell_type": "code", "execution_count": null, "id": "63d10bd1", "metadata": {}, "outputs": [], "source": [ "type(adftest)" ] }, { "cell_type": "code", "execution_count": null, "id": "2d78b554", "metadata": {}, "outputs": [], "source": [ "adftest" ] }, { "cell_type": "code", "execution_count": null, "id": "fb243e60", "metadata": {}, "outputs": [], "source": [ "# STL decomposition\n", "latest_train_date = train_ts.index[-1]\n", "k = 3\n", "kth_prev_year = latest_train_date.replace(year=latest_train_date.year - k).date()\n", "kth_prev_year.isoformat()\n", "\n", "plt.rc(\"figure\", figsize=(15, 7))\n", "stl_decomposition = STL(train_ts[kth_prev_year: ], period=5, robust=True)\n", "res = stl_decomposition.fit()\n", "fig = res.plot()" ] }, { "cell_type": "code", "execution_count": null, "id": "8c4ac4fd", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "91ad6600", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "dda4269c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "269abde2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "7eaeaa53", "metadata": {}, "source": [ "# ** Rough Work **" ] }, { "cell_type": "code", "execution_count": null, "id": "a139ff1b", "metadata": {}, "outputs": [], "source": [ "stl_decomposition" ] }, { "cell_type": "code", "execution_count": null, "id": "8e1f9301", "metadata": {}, "outputs": [], "source": [ "stl_decomposition.config" ] }, { "cell_type": "code", "execution_count": null, "id": "356dca6c", "metadata": {}, "outputs": [], "source": [ "stl_decomposition.period" ] }, { "cell_type": "code", "execution_count": null, "id": "5f270e23", "metadata": {}, "outputs": [], "source": [ "plt.plot(train_ts.head())" ] }, { "cell_type": "code", "execution_count": null, "id": "d83f84b3", "metadata": {}, "outputs": [], "source": [ "train_ts.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "d370fc3e", "metadata": {}, "outputs": [], "source": [ "train_ts.index" ] }, { "cell_type": "code", "execution_count": null, "id": "689dd1d9", "metadata": {}, "outputs": [], "source": [ "!pip install scikit-learn" ] }, { "cell_type": "code", "execution_count": null, "id": "bb5c7761", "metadata": {}, "outputs": [], "source": [ "type((train_ts.index - train_ts.index[0]).days.values)" ] }, { "cell_type": "markdown", "id": "db03633e", "metadata": {}, "source": [ "# Baseline model" ] }, { "cell_type": "markdown", "id": "7eecbafa", "metadata": {}, "source": [ "## 1. Linear Regression" ] }, { "cell_type": "code", "execution_count": null, "id": "f3eb28b1", "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": null, "id": "a1f057c0", "metadata": {}, "outputs": [], "source": [ "a = np.array([[1, 2], [3, 4], [1, 2], [3, 4], [1, 2], [3, 4]])\n", "a" ] }, { "cell_type": "code", "execution_count": null, "id": "f1cda90f", "metadata": {}, "outputs": [], "source": [ "a[[2, 4]]" ] }, { "cell_type": "code", "execution_count": null, "id": "718fe47c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8b802dfe", "metadata": {}, "outputs": [], "source": [ "sample = train_ts.head(600)" ] }, { "cell_type": "code", "execution_count": null, "id": "e3535822", "metadata": {}, "outputs": [], "source": [ "sample.shape" ] }, { "cell_type": "code", "execution_count": null, "id": "bfb531bc", "metadata": {}, "outputs": [], "source": [ "sample.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "edf58cfe", "metadata": {}, "outputs": [], "source": [ "yr_groups = sample.groupby(pd.Grouper(freq=\"A\"))\n", "yr_wise_df = pd.DataFrame()\n", "for key, yr_group in yr_groups:\n", "# yr_wise_df[key.year] = yr_group.values\n", " print(key.year, yr_group.values)\n", "yr_wise_df.plot(figsize=(20, 10))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "ed97e0bf", "metadata": {}, "outputs": [], "source": [ "groups = sample.groupby(pd.Grouper(freq=\"A\"))" ] }, { "cell_type": "code", "execution_count": null, "id": "43cc9a90", "metadata": {}, "outputs": [], "source": [ "groups" ] }, { "cell_type": "code", "execution_count": null, "id": "19643040", "metadata": {}, "outputs": [], "source": [ "groups.describe()" ] }, { "cell_type": "code", "execution_count": null, "id": "7182db57", "metadata": {}, "outputs": [], "source": [ "for key, item in groups:\n", " print(groups.get_group(key), \"\\n\\n\")" ] }, { "cell_type": "code", "execution_count": null, "id": "85809a49", "metadata": {}, "outputs": [], "source": [ "latest_train_date = train_ts.index[-1]\n", "latest_train_date" ] }, { "cell_type": "code", "execution_count": null, "id": "720ca740", "metadata": {}, "outputs": [], "source": [ "date_one_year_earlier.date()" ] }, { "cell_type": "code", "execution_count": null, "id": "34b923a3", "metadata": {}, "outputs": [], "source": [ "train_ts[date_one_year_earlier.isoformat():]" ] }, { "cell_type": "code", "execution_count": null, "id": "8ea4f470", "metadata": {}, "outputs": [], "source": [ "train_ts.iloc[:6].index.dayofweek" ] }, { "cell_type": "code", "execution_count": null, "id": "75a2a1a8", "metadata": {}, "outputs": [], "source": [ "type(plt.rcParams)" ] }, { "cell_type": "code", "execution_count": null, "id": "3d4e3172", "metadata": {}, "outputs": [], "source": [ "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "aff8d667", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d7f038a3", "metadata": {}, "outputs": [], "source": [ "train_ts.last(\"1A\").shape" ] }, { "cell_type": "code", "execution_count": null, "id": "4bdd27fd", "metadata": {}, "outputs": [], "source": [ "datetime.date.today() - pd.DateOffset(years=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "f3d83f96", "metadata": {}, "outputs": [], "source": [ "train_ts.iloc[\"2017-\":]" ] }, { "cell_type": "code", "execution_count": null, "id": "1d2c61e1", "metadata": {}, "outputs": [], "source": [ "train_ts[\"2004-01-01\": \"2007-01-01\"].plot(figsize=(12, 6), style=\".\")" ] }, { "cell_type": "code", "execution_count": null, "id": "1831702f", "metadata": {}, "outputs": [], "source": [ "train_ts[\"2004-05-01\": \"2004-09-01\"].plot(figsize=(12, 6), style=\"o\")" ] }, { "cell_type": "code", "execution_count": null, "id": "ab55fcaa", "metadata": { "scrolled": true }, "outputs": [], "source": [ "ts.iloc[:7]" ] }, { "cell_type": "code", "execution_count": null, "id": "7d512ef0", "metadata": {}, "outputs": [], "source": [ "train_ts[\"2004-06-25\": \"2004-07-05\"].plot(figsize=(12, 6), style=\"o\")" ] }, { "cell_type": "code", "execution_count": null, "id": "a69ff757", "metadata": {}, "outputs": [], "source": [ "ticker_mapping = {\n", " \"INFY\": \"BOM500209\",\n", " \"TCS\": \"BOM532540\",\n", " \"HCLTECH\": \"BOM532281\",\n", " \"TECHM\": \"BOM532755\"\n", "}\n", "company_list = list(ticker_mapping.keys())\n", "company_list" ] }, { "cell_type": "code", "execution_count": null, "id": "1873efc1", "metadata": {}, "outputs": [], "source": [ "!pip install seaborn" ] }, { "cell_type": "code", "execution_count": null, "id": "bc11dec9", "metadata": {}, "outputs": [], "source": [ "yrs_in_data_window = 2\n", "date_end = datetime.date.today()\n", "# date_start = datetime.date.today() - datetime.timedelta(days=365 * yrs_in_data_window)\n", "date_start = datetime.datetime(date_end.year - 1, date_end.month, date_end.day)\n", "market_data = {}\n", "for nse_ticker, bse_ticker in ticker_mapping.items():\n", " market_data[nse_ticker] = quandl.get(\"BSE/\" + bse_ticker, start_date=date_start.isoformat(), end_date=date_end.isoformat())" ] }, { "cell_type": "code", "execution_count": null, "id": "e555bb1f", "metadata": {}, "outputs": [], "source": [ "market_data[\"INFY\"].head()" ] }, { "cell_type": "code", "execution_count": null, "id": "f73ce15d", "metadata": {}, "outputs": [], "source": [ "market_data[\"INFY\"].shape" ] }, { "cell_type": "code", "execution_count": null, "id": "eaa55344", "metadata": {}, "outputs": [], "source": [ "market_data[\"INFY\"].columns" ] }, { "cell_type": "code", "execution_count": null, "id": "af464fc6", "metadata": {}, "outputs": [], "source": [ "market_data[\"INFY\"].info()" ] }, { "cell_type": "code", "execution_count": null, "id": "aa446ca4", "metadata": {}, "outputs": [], "source": [ "market_data[\"INFY\"].describe()" ] }, { "cell_type": "code", "execution_count": null, "id": "536b66e0", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "plt.style.use(\"default\")" ] }, { "cell_type": "code", "execution_count": null, "id": "df69666d", "metadata": {}, "outputs": [], "source": [ "# plot 1 - WAP historical trend\n", "plt.figure(figsize=(15, 6))\n", "plt.subplots_adjust(top=1.25, bottom=1.2)\n", "for i, company in enumerate(company_list, 1):\n", " plt.subplot(2, 2, i)\n", " market_data[company][\"WAP\"].plot();\n", " plt.title(company)\n", " plt.xlabel(None)\n", " plt.ylabel(\"WAP\")\n", "plt.suptitle(\"Trend in Weighted Average Price(WAP)\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "id": "854b8100", "metadata": {}, "outputs": [], "source": [ "# plot 2 - Volume historical trends\n", "plt.figure(figsize=(15, 7))\n", "for i, company in enumerate(company_list, 1):\n", " plt.subplot(2, 2, i)\n", " market_data[company][\"No. of Shares\"].plot()\n", " plt.title(company)\n", " plt.xlabel(None)\n", " plt.ylabel(\"No. of Shares\")\n", "plt.suptitle(\"Volume trends\")\n", "plt.tight_layout();" ] }, { "cell_type": "code", "execution_count": null, "id": "641b7bf2", "metadata": {}, "outputs": [], "source": [ "ticker_mapping = {\n", " \"INFY\": \"BSE/BOM500209\",\n", " \"TCS\": \"BSE/BOM532540\",\n", " \"HCLTECH\": \"BSE/BOM532281\",\n", " \"TECHM\": \"BSE/BOM532755\"\n", "}" ] }, { "cell_type": "code", "execution_count": null, "id": "d2abbd6d", "metadata": {}, "outputs": [], "source": [ "datetime.date.today().isoformat()" ] }, { "cell_type": "code", "execution_count": null, "id": "1a60bbac", "metadata": {}, "outputs": [], "source": [ "datetime.date.today() - datetime.timedelta(days=365)" ] }, { "cell_type": "code", "execution_count": null, "id": "1cea523d", "metadata": {}, "outputs": [], "source": [ "ticker_mapping.items()" ] }, { "cell_type": "code", "execution_count": null, "id": "ee9e050f", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }