diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..f5bb929 --- /dev/null +++ b/.gitignore @@ -0,0 +1,131 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.idea/ +.DS_Store +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +pip-wheel-metadata/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# pyenv +.python-version + +# pipenv +# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. +# However, in case of collaboration, if having platform-specific dependencies or dependencies +# having no cross-platform support, pipenv may install dependencies that don't work, or not +# install all needed dependencies. +#Pipfile.lock + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow +__pypackages__/ + +# Celery stuff +celerybeat-schedule +celerybeat.pid + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ diff --git a/DFA.ipynb b/DFA.ipynb new file mode 100644 index 0000000..d08b2bc --- /dev/null +++ b/DFA.ipynb @@ -0,0 +1,2519 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 7, + "id": "ba5efd61", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n", + "from statsmodels.tsa.arima.model import ARIMA\n", + "from statsmodels.tsa.forecasting.theta import ThetaModel\n", + "from scipy.optimize import fsolve\n", + "from scipy.special import rel_entr, kl_div\n", + "from tqdm.notebook import tqdm\n", + "\n", + "import matplotlib.pyplot as plt\n", + "plt.style.use('fivethirtyeight')\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c549eca4", + "metadata": {}, + "outputs": [], + "source": [ + "sunspot_ts = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/datasets/sunspot.year.csv')\n", + "sunspot_ts.index = sunspot_ts['time'].values\n", + "sunspot_ts.drop(['Unnamed: 0', 'time'], axis=1, inplace=True)\n", + "sunspot_ts.rename({'value': 'sunspot.year'}, axis=1, inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2cc4f129", + "metadata": {}, + "outputs": [], + "source": [ + "wage = pd.read_csv('https://raw.githubusercontent.com/aromanenko/ATSF/main/data/monthly-wage.csv', sep=';', index_col= 0, parse_dates=True)\n", + "wage_ts = wage.astype(int)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "3534a852", + "metadata": {}, + "outputs": [], + "source": [ + "energy_df = pd.read_csv('https://raw.githubusercontent.com/aromanenko/ATSF/main/data/energy_consumption.csv',\n", + " sep=',', parse_dates=['Date'], dayfirst=False, index_col='Date')\n", + "\n", + "energy_df = energy_df[energy_df.id == 2]\n", + "energy_df = energy_df['2010-01-01':'2015-05-13']\n", + "energy_df.dropna(axis=1, inplace=True)\n", + "\n", + "energy_ts = energy_df.EnergyConsumption.astype(int)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "95dc2a67", + "metadata": {}, + "outputs": [], + "source": [ + "def get_density_forecast(ts, horizon, base_alg, base_params={}, bins='auto', omega=None, fittedvalues=False):\n", + " \"\"\"\n", + " Returns a list of density dictionaries {'bins': np.array, 'probs': np.array, 'dotted_forecast': float}.\n", + " \n", + " Parameters\n", + " ----------\n", + " ts : array_like\n", + " The time series to model.\n", + " horizon : int\n", + " The horizon to forecast.\n", + " base_alg : {ExponentialSmoothing, SimpleExpSmoothing, Holt}\n", + " The name of base algoritm for making density forecast.\n", + " base_params : dict\n", + " A Dictionary with base algorithm parameters.\n", + " bins: int or sequence of scalars or str, optional\n", + " Define how to calculate bins.\n", + " fittedvalues: bool\n", + " Include fitted values in density dictionaries or not.\n", + " \"\"\"\n", + " \n", + " if omega is not None:\n", + " bins = omega\n", + " \n", + " alg = base_alg(ts, **base_params).fit()\n", + " \n", + " if fittedvalues:\n", + " alg_preds = alg.predict(start=0, end=len(ts) + horizon - 1)\n", + " density_dicts = [{'bins': [], 'probs': [], 'dotted_forecast': None} for _ in range(len(ts) + horizon)]\n", + " else:\n", + " alg_preds = alg.predict(start=len(ts), end=len(ts) + horizon - 1)\n", + " density_dicts = [{'bins': [], 'probs': [], 'dotted_forecast': None} for _ in range(horizon)]\n", + " \n", + " for i in range(len(alg_preds)):\n", + " density_dicts[i]['dotted_forecast'] = alg_preds.iloc[i]\n", + " \n", + " current_density = alg.resid + alg_preds.iloc[i]\n", + " probs, bins = np.histogram(current_density, bins=bins)\n", + " density_dicts[i]['probs'], density_dicts[i]['bins'] = probs / np.sum(probs), bins\n", + " \n", + " return density_dicts" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "16f584a2", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_density_forecast(ts, delay, base_alg, ax=None, **kwargs):\n", + " \n", + " density_dict = get_density_forecast(ts, delay, base_alg, **kwargs)[delay - 1]\n", + "\n", + " left_edges = density_dict['bins'][:-1]\n", + "\n", + " colors = []\n", + " for i in range(len(left_edges) - 1):\n", + " if left_edges[i] < density_dict['dotted_forecast'] < left_edges[i+1]:\n", + " colors.append('coral')\n", + " else:\n", + " colors.append('royalblue')\n", + " \n", + " alg_name = str(base_alg)[str(base_alg).find('model.') + 6:-2]\n", + " \n", + " if ax:\n", + " ax.bar(left_edges, density_dict['probs'], align='edge',\n", + " width=0.9*(left_edges[1] - left_edges[0]), color=colors)\n", + " ax.set_title(f'{alg_name}: density forecast with delay={delay}')\n", + " else:\n", + " plt.bar(left_edges, density_dict['probs'], align='edge',\n", + " width=0.9*(left_edges[1] - left_edges[0]), color=colors)\n", + " plt.title(f'{alg_name}: density forecast with delay={delay}')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "83b95e2e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(4, figsize=(15,16))\n", + "\n", + "for i, alg in enumerate([ExponentialSmoothing, SimpleExpSmoothing, Holt, ARIMA]):\n", + " plot_density_forecast(sunspot_ts, 1, alg, ax=ax[i], bins='auto')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "0b610f84", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,5))\n", + "plot_density_forecast(sunspot_ts, 1, ARIMA, base_params={'order': (1, 2, 0)}, bins=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "e9b8b7f7", + "metadata": {}, + "outputs": [], + "source": [ + "def get_omega(ts, mode, bins=None, quantile=0.5):\n", + " if mode == \"basic\":\n", + " return np.histogram_bin_edges(ts, bins)\n", + " if mode == \"quantile\":\n", + " bin_width = int(np.quantile(abs(ts - ts.shift(1))[1:], quantile))\n", + " elif mode == \"mean\":\n", + " bin_width = int(np.mean(abs(ts - ts.shift(1))[1:]))\n", + " \n", + " if bin_width < 1:\n", + " bin_width = 1\n", + " \n", + " min_o = int(np.floor(min(ts.values)))\n", + " max_o = int(np.ceil(max(ts.values)))\n", + " \n", + " bin_edges = [min_o]\n", + " while bin_edges[-1] < max_o:\n", + " bin_edges.append(bin_edges[-1] + bin_width)\n", + " \n", + " return np.array(bin_edges)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "f68c92ef", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204]),\n", + " array([ 0, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168,\n", + " 182, 196]))" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_omega(sunspot_ts, mode=\"mean\"), get_omega(sunspot_ts, mode=\"quantile\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5898050e", + "metadata": {}, + "outputs": [], + "source": [ + "def brier_loss(y_true, density_dict, p=2):\n", + " \"\"\"\n", + " Returns np.array of brier scores.\n", + " \n", + " Parameters\n", + " ----------\n", + " y_true : float\n", + " A true value.\n", + " density_dict : dict\n", + " Dict with bins and probabilities information.\n", + " \"\"\"\n", + " bins_number = density_dict['probs'].size\n", + " bins_true = [0] * bins_number\n", + "\n", + " for i in range(bins_number):\n", + " if (density_dict['bins'][i] <= y_true <= density_dict['bins'][i + 1]):\n", + " bins_true[i] = 1\n", + " break\n", + " \n", + " brier_loss = np.sum((abs(density_dict['probs'] - bins_true))**p)\n", + " \n", + " if np.sum(bins_true) == 0:\n", + " brier_loss += 1\n", + " \n", + " return brier_loss" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "7b8dfcc5", + "metadata": {}, + "outputs": [], + "source": [ + "def get_generalized_loss(y_true, density_dicts, loss_function, p):\n", + " \"\"\"\n", + " Returns np.array of brier scores.\n", + " \n", + " Parameters\n", + " ----------\n", + " y_true : float\n", + " A true value.\n", + " density_dicts : dict or array-like of dicts\n", + " Dicts with bins and probabilities information.\n", + " \"\"\"\n", + " if type(density_dicts) == dict:\n", + " density_dicts = [density_dicts]\n", + " \n", + " losses = [np.nan] * len(density_dicts)\n", + " \n", + " for density_dict_count, density_dict in enumerate(density_dicts):\n", + " losses[density_dict_count] = loss_function(y_true, density_dict, p)\n", + " \n", + " return np.array(losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "987b50ed", + "metadata": {}, + "outputs": [], + "source": [ + "def avoid_overflowing(base, power_array):\n", + " maximum = np.max(power_array)\n", + " minimum = np.min(power_array)\n", + " \n", + " pmax = -np.log(base)/np.log(2) * maximum\n", + " pmin = -np.log(base)/np.log(2) * minimum\n", + " \n", + " if np.abs(pmax-pmin) > 2097:\n", + " print('Overflow is imminent. Further calculations are not advised')\n", + " return base ** power_array\n", + " power_shift = abs((51+pmin+pmax)/2)\n", + " power_shift = power_shift + min(0, pmin - power_shift + 1023)\n", + " \n", + " power_array = power_array - np.abs(power_shift * np.log(2) / np.log(base))\n", + " \n", + " return base ** power_array" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "6c891fac", + "metadata": {}, + "outputs": [], + "source": [ + "def get_generalized_prediction(ts, preds, omega, weights, loss_function, p, eta):\n", + " generalized_predictions = []\n", + " \n", + " for w in zip(omega, omega[1:]):\n", + " losses = get_generalized_loss((w[0] + w[1]) / 2, preds, loss_function, p)\n", + " exp_losses = avoid_overflowing(np.e, -eta * losses)\n", + " generalized_predictions.append(-(1 / eta) * np.log(np.sum(weights * exp_losses)))\n", + " \n", + " return np.array(generalized_predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "d33b19eb", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.optimize import fsolve\n", + "\n", + "def s_equation(s, generalized_predictions, m=2):\n", + " return np.sum([max(x,0) for x in s - generalized_predictions]) - m" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "218c9c7f", + "metadata": {}, + "outputs": [], + "source": [ + "def substitution_function(generalized_predictions, s, m=2):\n", + " predictions = [max(x,0) / m for x in (s - generalized_predictions)]\n", + " return np.array(predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "9236fd35", + "metadata": {}, + "outputs": [], + "source": [ + "# def get_AA_density(omega_and_predictions, bins):\n", + "# probs = [0] * (len(bins) - 1)\n", + "# for i in range(len(bins) - 1):\n", + "# for omega, pred in omega_and_predictions:\n", + "# if bins[i] <= omega < bins[i + 1]:\n", + "# probs[i] += pred\n", + "# return np.array(probs)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "4c4326a3", + "metadata": {}, + "outputs": [], + "source": [ + "def update_weights(weights, losses, eta=1):\n", + " exp_losses = avoid_overflowing(np.e, -eta * np.array(losses))\n", + " new_weights = weights * exp_losses\n", + " return new_weights / (np.sum(new_weights))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "fd4bb2da", + "metadata": {}, + "outputs": [], + "source": [ + "def aggregating_algorithm(ts, horizon, base_alg_dict, bins=10, omega_mode=\"basic\",\n", + " loss_function=brier_loss, m=2, p=2, weights=None, eta=1):\n", + " \"\"\"\n", + " Returns density dictionary {'bins': np.array, 'probs': np.array, 'dotted_forecast': float}.\n", + " \n", + " Parameters\n", + " ----------\n", + " ts : array_like\n", + " The time series to model.\n", + " delay : int\n", + " The delay to forecast.\n", + " base_alg_dict : dict\n", + " The dictionary with the names of base algoritms and their params:\n", + " base_alg {ExponentialSmoothing, SimpleExpSmoothing, Holt} - name of base algorithm.\n", + " base_alg_params : dict - a dictionary of base algorithm's parameters.\n", + " loss_function : function\n", + " The loss function of aggregating algorithm.\n", + " \"\"\"\n", + " \n", + " T = len(ts)\n", + " K = len(base_alg_dict)\n", + " \n", + " AA_preds = [{} for i in range(T + horizon)]\n", + " BA_preds = np.array([{} for i in range((T + horizon) * K)]).reshape(K, T + horizon) \n", + " \n", + " if not weights:\n", + " weights = np.full(K, 1/K)\n", + " \n", + " omega = get_omega(ts, mode=omega_mode, bins=bins) # здесь в Omega прогнозы не учитываются\n", + " \n", + " i = 0\n", + " for base_alg, base_alg_params in base_alg_dict.items():\n", + " BA_preds[i] = get_density_forecast(ts, horizon, base_alg, base_params=base_alg_params,\n", + " omega=omega, fittedvalues=True)\n", + " i += 1\n", + " \n", + " \n", + " losses, prev_losses = None, None\n", + " \n", + " for t in tqdm(range(T + horizon), leave=False):\n", + " preds = BA_preds[:, t]\n", + " \n", + " if not prev_losses:\n", + " prev_losses = [loss_function(ts.values[t], pred, p) for pred in preds] # cheat\n", + " \n", + " generalized_predictions = get_generalized_prediction(ts.values[:t], preds, omega,\n", + " weights, loss_function, p, eta)\n", + " \n", + " #solving the equation to find s\n", + " s_init = np.max(generalized_predictions)\n", + " s = fsolve(s_equation, s_init, args=(generalized_predictions, m))\n", + " \n", + " #get real prediction with substitution function\n", + " AA_preds[t]['bins'] = BA_preds[:, t][0]['bins']\n", + " real_predictions = substitution_function(generalized_predictions, s, m)\n", + " AA_preds[t]['probs'] = real_predictions\n", + " \n", + " #update weights \n", + " if t < T: \n", + " losses = [loss_function(ts.values[t], pred, p) for pred in preds]\n", + " weights = update_weights(weights, losses, eta)\n", + "\n", + " prev_losses = losses\n", + " \n", + " return AA_preds" + ] + }, + { + "cell_type": "markdown", + "id": "7a0ae2fb", + "metadata": {}, + "source": [ + "### Анализ результатов (AA vs Base Algorithms, AA vs Theoretical Boundary of Loss function)" + ] + }, + { + "cell_type": "markdown", + "id": "7923d927", + "metadata": {}, + "source": [ + "**Sunspot TS**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "64cbba44", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/292 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=3, figsize=(15,12))\n", + "\n", + "ax[0].plot(sunspot_ts.index, Holt_losses)\n", + "ax[0].plot(sunspot_ts.index, SES_losses)\n", + "ax[0].plot(sunspot_ts.index, ARIMA_losses)\n", + "ax[0].plot(sunspot_ts.index, AA_losses)\n", + "ax[0].plot(sunspot_ts.index, tb)\n", + "ax[0].set_title('Basic omega with 10 bins')\n", + "ax[0].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='upper left');\n", + "\n", + "ax[1].plot(sunspot_ts.index, Holt_losses_mean)\n", + "ax[1].plot(sunspot_ts.index, SES_losses_mean)\n", + "ax[1].plot(sunspot_ts.index, ARIMA_losses_mean)\n", + "ax[1].plot(sunspot_ts.index, AA_losses_mean)\n", + "ax[1].plot(sunspot_ts.index, tb_mean)\n", + "ax[1].set_title('Mean Omega')\n", + "ax[1].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='upper left');\n", + "\n", + "ax[2].plot(sunspot_ts.index, Holt_losses_quant)\n", + "ax[2].plot(sunspot_ts.index, SES_losses_quant)\n", + "ax[2].plot(sunspot_ts.index, ARIMA_losses_quant)\n", + "ax[2].plot(sunspot_ts.index, AA_losses_quant)\n", + "ax[2].plot(sunspot_ts.index, tb_quant)\n", + "ax[2].set_title('Quantile 0.1 omega')\n", + "ax[2].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='upper left');" + ] + }, + { + "cell_type": "markdown", + "id": "2042133b", + "metadata": {}, + "source": [ + "### Зависимость абсолютной величины brier loss от количества бинов" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "99d2566f", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9d4145e9e752448bad8f2d438e873004", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,3))\n", + "\n", + "plt.plot(losses_dict.keys(), losses_dict.values())\n", + "plt.title('Dependence of brier loss on the number of bins')\n", + "plt.ylabel('Brier Loss')\n", + "plt.xlabel('Number of bins');" + ] + }, + { + "cell_type": "markdown", + "id": "f69c0a2d", + "metadata": {}, + "source": [ + "### Другие точечные метрики прогноза" + ] + }, + { + "cell_type": "markdown", + "id": "65512797", + "metadata": {}, + "source": [ + "**1. В обучение p=2; качество измеряем с p=2 и p=1**" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "4fef6e24", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/292 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "omega = get_omega(sunspot_ts, mode=\"basic\", bins=10)\n", + "Holt_preds = get_density_forecast(sunspot_ts, 3, Holt,\n", + " omega=omega, fittedvalues=True)\n", + "SES_preds = get_density_forecast(sunspot_ts, 3, SimpleExpSmoothing,\n", + " omega=omega, fittedvalues=True)\n", + "AA_preds = aggregating_algorithm(sunspot_ts, 3, {Holt: {}, SimpleExpSmoothing: {}},\n", + " bins=10, omega_mode=\"basic\", p=2)\n", + "\n", + "Holt_losses2 = []\n", + "SES_losses2 = []\n", + "AA_losses2 = []\n", + "Holt_losses1 = []\n", + "SES_losses1 = []\n", + "AA_losses1 = []\n", + "for i in range(len(sunspot_ts.values)):\n", + " Holt_losses2.append(brier_loss(sunspot_ts.values[i], Holt_preds[i]))\n", + " SES_losses2.append((brier_loss(sunspot_ts.values[i], SES_preds[i])))\n", + " AA_losses2.append((brier_loss(sunspot_ts.values[i], AA_preds[i])))\n", + " \n", + " Holt_losses1.append(brier_loss(sunspot_ts.values[i], Holt_preds[i], p=1))\n", + " SES_losses1.append((brier_loss(sunspot_ts.values[i], SES_preds[i], p=1)))\n", + " AA_losses1.append((brier_loss(sunspot_ts.values[i], AA_preds[i], p=1)))\n", + " \n", + "fig, ax = plt.subplots(2, figsize=(15,8))\n", + "\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(Holt_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(SES_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(AA_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].set_title('Training with p=2, losses p=2')\n", + "ax[0].legend(['Holt', 'SES', 'AA', 'Tb', 'Tb_lb'], loc='lower right');\n", + "\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(Holt_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(SES_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(AA_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].set_title('Training with p=2, losses p=1')\n", + "ax[1].legend(['Holt', 'SES', 'AA', 'Tb'], loc='lower right');" + ] + }, + { + "cell_type": "markdown", + "id": "b2057e5f", + "metadata": {}, + "source": [ + "**1. В обучение p=1; качество измеряем с p=2 и p=1**" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "b9091e32", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/292 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "omega = get_omega(sunspot_ts, mode=\"basic\", bins=10)\n", + "Holt_preds = get_density_forecast(sunspot_ts, 3, Holt,\n", + " omega=omega, fittedvalues=True)\n", + "SES_preds = get_density_forecast(sunspot_ts, 3, SimpleExpSmoothing,\n", + " omega=omega, fittedvalues=True)\n", + "AA_preds = aggregating_algorithm(sunspot_ts, 3, {Holt: {}, SimpleExpSmoothing: {}},\n", + " bins=10, omega_mode=\"basic\", p=1)\n", + "\n", + "Holt_losses2 = []\n", + "SES_losses2 = []\n", + "AA_losses2 = []\n", + "Holt_losses1 = []\n", + "SES_losses1 = []\n", + "AA_losses1 = []\n", + "for i in range(len(sunspot_ts.values)):\n", + " Holt_losses2.append(brier_loss(sunspot_ts.values[i], Holt_preds[i]))\n", + " SES_losses2.append((brier_loss(sunspot_ts.values[i], SES_preds[i])))\n", + " AA_losses2.append((brier_loss(sunspot_ts.values[i], AA_preds[i])))\n", + " \n", + " Holt_losses1.append(brier_loss(sunspot_ts.values[i], Holt_preds[i], p=1))\n", + " SES_losses1.append((brier_loss(sunspot_ts.values[i], SES_preds[i], p=1)))\n", + " AA_losses1.append((brier_loss(sunspot_ts.values[i], AA_preds[i], p=1)))\n", + " \n", + "fig, ax = plt.subplots(2, figsize=(15,8))\n", + "\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(Holt_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(SES_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].plot(sunspot_ts.index, np.cumsum(AA_losses2) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[0].set_title('Training with p=1, losses p=2')\n", + "ax[0].legend(['Holt', 'SES', 'AA', 'Tb', 'Tb_lb'], loc='lower right');\n", + "\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(Holt_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(SES_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].plot(sunspot_ts.index, np.cumsum(AA_losses1) / list(range(1, len(sunspot_ts.values) + 1)))\n", + "ax[1].set_title('Training with p=1, losses p=1')\n", + "ax[1].legend(['Holt', 'SES', 'AA', 'Tb'], loc='lower right');" + ] + }, + { + "cell_type": "markdown", + "id": "2cfab924", + "metadata": {}, + "source": [ + "### Optimal m parameter" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "a22b1ddd", + "metadata": {}, + "outputs": [], + "source": [ + "def get_optim_m(ts, alg_dict={Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " bins=10, omega_mode=\"basic\", p=2):\n", + " best_m = 0\n", + " best_loss = 1000\n", + " AA_losses = {}\n", + " # (np.linspace(0.1, 10, 100),\n", + " for m in tqdm(np.linspace(0.5, 10, 20), leave=False):\n", + " AA_preds = aggregating_algorithm(ts, 0, alg_dict,\n", + " bins=bins, omega_mode=omega_mode, m=m, p=p)\n", + " AA_losses[m] = []\n", + " for i in range(len(ts.values)):\n", + " AA_losses[m].append((brier_loss(ts.values[i], AA_preds[i])))\n", + " loss = np.mean(AA_losses[m])\n", + "\n", + " if loss < best_loss:\n", + " best_m = m\n", + " best_loss = loss\n", + " \n", + " n_bins = AA_preds[0]['probs'].size\n", + " return best_m, best_loss, n_bins" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "e8f8d78a", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "def plot_losses(ts, best_m, ax):\n", + " omega = get_omega(ts, mode=\"basic\", bins=10)\n", + " Holt_preds = get_density_forecast(ts, 3, Holt,\n", + " omega=omega, fittedvalues=True)\n", + " SES_preds = get_density_forecast(ts, 3, SimpleExpSmoothing,\n", + " omega=omega, fittedvalues=True)\n", + " ARIMA_preds = get_density_forecast(ts, 3, ARIMA, base_params={'order': (1, 2, 0)},\n", + " omega=omega, fittedvalues=True)\n", + " AA_preds = aggregating_algorithm(ts, 3, {Holt: {}, SimpleExpSmoothing: {}},\n", + " bins=10, omega_mode=\"basic\", m=best_m)\n", + "\n", + " omega_mean = get_omega(ts, mode=\"mean\")\n", + " Holt_preds_mean = get_density_forecast(ts, 3, Holt,\n", + " omega=omega_mean, fittedvalues=True)\n", + " SES_preds_mean = get_density_forecast(ts, 3, SimpleExpSmoothing,\n", + " omega=omega_mean, fittedvalues=True)\n", + " ARIMA_preds_mean = get_density_forecast(ts, 3, ARIMA, base_params={'order': (1, 2, 0)},\n", + " omega=omega_mean, fittedvalues=True)\n", + " AA_preds_mean = aggregating_algorithm(ts, 3, {Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " bins=10, omega_mode=\"mean\", m=best_m)\n", + "\n", + " omega_quant = get_omega(ts, mode=\"quantile\")\n", + " Holt_preds_quant = get_density_forecast(ts, 3, Holt,\n", + " omega=omega_quant, fittedvalues=True)\n", + " SES_preds_quant = get_density_forecast(ts, 3, SimpleExpSmoothing,\n", + " omega=omega_quant, fittedvalues=True)\n", + " ARIMA_preds_quant = get_density_forecast(ts, 3, ARIMA, base_params={'order': (1, 2, 0)},\n", + " omega=omega_quant, fittedvalues=True)\n", + " AA_preds_quant = aggregating_algorithm(ts, 3, {Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " bins=10, omega_mode=\"quantile\", m=best_m)\n", + "\n", + " Holt_losses = []\n", + " SES_losses = []\n", + " ARIMA_losses = []\n", + " AA_losses = []\n", + " Holt_losses_mean = []\n", + " SES_losses_mean = []\n", + " ARIMA_losses_mean = []\n", + " AA_losses_mean = []\n", + " Holt_losses_quant = []\n", + " SES_losses_quant = []\n", + " ARIMA_losses_quant = []\n", + " AA_losses_quant = []\n", + " for i in range(len(ts.values)):\n", + " Holt_losses.append(brier_loss(ts.values[i], Holt_preds[i]))\n", + " SES_losses.append((brier_loss(ts.values[i], SES_preds[i])))\n", + " ARIMA_losses.append((brier_loss(ts.values[i], ARIMA_preds[i])))\n", + " AA_losses.append((brier_loss(ts.values[i], AA_preds[i])))\n", + " Holt_losses_mean.append(brier_loss(ts.values[i], Holt_preds_mean[i]))\n", + " SES_losses_mean.append((brier_loss(ts.values[i], SES_preds_mean[i])))\n", + " ARIMA_losses_mean.append((brier_loss(ts.values[i], ARIMA_preds_mean[i])))\n", + " AA_losses_mean.append((brier_loss(ts.values[i], AA_preds_mean[i])))\n", + " Holt_losses_quant.append(brier_loss(ts.values[i], Holt_preds_quant[i]))\n", + " SES_losses_quant.append((brier_loss(ts.values[i], SES_preds_quant[i])))\n", + " ARIMA_losses_quant.append((brier_loss(ts.values[i], ARIMA_preds_quant[i])))\n", + " AA_losses_quant.append((brier_loss(ts.values[i], AA_preds_quant[i])))\n", + "\n", + " Holt_losses = np.cumsum(Holt_losses) / list(range(1, len(ts.values) + 1))\n", + " SES_losses = np.cumsum(SES_losses) / list(range(1, len(ts.values) + 1))\n", + " ARIMA_losses = np.cumsum(ARIMA_losses) / list(range(1, len(ts.values) + 1))\n", + " AA_losses = np.cumsum(AA_losses) / list(range(1, len(ts.values) + 1))\n", + "\n", + " Holt_losses_mean = np.cumsum(Holt_losses) / list(range(1, len(ts.values) + 1))\n", + " SES_losses_mean = np.cumsum(SES_losses) / list(range(1, len(ts.values) + 1))\n", + " ARIMA_losses_mean = np.cumsum(ARIMA_losses) / list(range(1, len(ts.values) + 1))\n", + " AA_losses_mean = np.cumsum(AA_losses) / list(range(1, len(ts.values) + 1))\n", + "\n", + " Holt_losses_quant = np.cumsum(Holt_losses) / list(range(1, len(ts.values) + 1))\n", + " SES_losses_quant = np.cumsum(SES_losses) / list(range(1, len(ts.values) + 1))\n", + " ARIMA_losses_quant = np.cumsum(ARIMA_losses) / list(range(1, len(ts.values) + 1))\n", + " AA_losses_quant = np.cumsum(AA_losses) / list(range(1, len(ts.values) + 1))\n", + "\n", + " tb = np.minimum(np.minimum(Holt_losses, SES_losses), ARIMA_losses) + np.log(3) / list(range(1, len(ts.values) + 1))\n", + " tb_mean = np.minimum(np.minimum(Holt_losses_mean, SES_losses_mean), ARIMA_losses_mean) + np.log(3) / list(range(1, len(ts.values) + 1))\n", + " tb_quant = np.minimum(np.minimum(Holt_losses_quant, SES_losses_quant), ARIMA_losses_quant) + np.log(3) / list(range(1, len(ts.values) + 1))\n", + " \n", + " print((AA_losses > tb).sum(), (AA_losses_mean > tb_mean).sum(), (AA_losses_quant > tb_quant).sum())\n", + " \n", + " ax[0].plot(ts.index, Holt_losses)\n", + " ax[0].plot(ts.index, SES_losses)\n", + " ax[0].plot(ts.index, ARIMA_losses)\n", + " ax[0].plot(ts.index, AA_losses)\n", + " ax[0].plot(ts.index, tb)\n", + " ax[0].set_title('Basic omega with 10 bins')\n", + " ax[0].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='lower right');\n", + "\n", + " ax[1].plot(ts.index, Holt_losses_mean)\n", + " ax[1].plot(ts.index, SES_losses_mean)\n", + " ax[1].plot(ts.index, ARIMA_losses_mean)\n", + " ax[1].plot(ts.index, AA_losses_mean)\n", + " ax[1].plot(ts.index, tb_mean)\n", + " ax[1].set_title('Mean Omega')\n", + " ax[1].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='lower right');\n", + "\n", + " ax[2].plot(ts.index, Holt_losses_quant)\n", + " ax[2].plot(ts.index, SES_losses_quant)\n", + " ax[2].plot(ts.index, ARIMA_losses_quant)\n", + " ax[2].plot(ts.index, AA_losses_quant)\n", + " ax[2].plot(ts.index, tb_quant)\n", + " ax[2].set_title('Quantile 0.1 omega')\n", + " ax[2].legend(['Holt', 'SES', 'ARIMA', 'AA', 'Tb'], loc='lower right');\n" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "289b6a42", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/20 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(3, figsize=(15,12))\n", + "\n", + "plot_losses2(wage_ts, 3, alg_dict={Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " omega_mode=\"basic\", bins=10, best_m=best_m, ax=ax[0],\n", + " title=\"Mean omega\", legend=['Holt', 'SES', 'ARIMA', 'AA', 'Tb'])\n", + "plot_losses2(wage_ts, 3, alg_dict={Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " omega_mode=\"mean\", bins=10, best_m=best_m, ax=ax[1],\n", + " title=\"Mean omega\", legend=['Holt', 'SES', 'ARIMA', 'AA', 'Tb'])\n", + "plot_losses2(wage_ts, 3, alg_dict={Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}},\n", + " omega_mode=\"quantile\", bins=10, best_m=best_m, ax=ax[2],\n", + " title=\"Mean omega\", legend=['Holt', 'SES', 'ARIMA', 'AA', 'Tb'])" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "c859e244", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/292 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(3, figsize=(15,12))\n", + "\n", + "plot_losses(wage_ts, best_m, ax)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "e5419696", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Holt_loss: 0.5778374463584306\n", + "SES_loss: 0.6478112932515918\n", + "ARIMA_loss: 0.5748732944518978\n", + "AA_loss: 0.5662400110128983\n", + "tb: 0.5983661577786381\n" + ] + } + ], + "source": [ + "print(f\"Holt_loss: {np.mean(Holt_losses)}\")\n", + "print(f\"SES_loss: {np.mean(SES_losses)}\")\n", + "print(f\"ARIMA_loss: {np.mean(ARIMA_losses)}\")\n", + "print(f\"AA_loss: {np.mean(AA_losses)}\")\n", + "print(f\"tb: {np.mean(tb)}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "382becdb", + "metadata": {}, + "outputs": [], + "source": [ + "di = {Holt: {}, SimpleExpSmoothing: {}, ARIMA: {'order': (1, 2, 0)}}" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "888ce990", + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[{'bins': array([ 77.33933776, 84.15053515, 90.96173254, 97.77292993,\n", + " 104.58412732, 111.39532471, 118.2065221 , 125.01771949,\n", + " 131.82891688, 138.64011427, 145.45131165, 152.26250904,\n", + " 159.07370643, 165.88490382, 172.69610121, 179.5072986 ,\n", + " 186.31849599, 193.12969338, 199.94089077, 206.75208816,\n", + " 213.56328555, 220.37448294, 227.18568033, 233.99687772,\n", + " 240.80807511]), 'probs': array([0.00692042, 0. , 0.00346021, 0.00346021, 0.00692042,\n", + " 0.01384083, 0.01730104, 0.01384083, 0.01730104, 0.02076125,\n", + " 0.05536332, 0.08650519, 0.12110727, 0.16955017, 0.16955017,\n", + " 0.11072664, 0.08650519, 0.04152249, 0.02076125, 0.01730104,\n", + " 0.00692042, 0.00346021, 0.00346021, 0.00346021]), 'dotted_forecast': 169.00953350146824}, {'bins': array([ 77.33933776, 84.15053515, 90.96173254, 97.77292993,\n", + " 104.58412732, 111.39532471, 118.2065221 , 125.01771949,\n", + " 131.82891688, 138.64011427, 145.45131165, 152.26250904,\n", + " 159.07370643, 165.88490382, 172.69610121, 179.5072986 ,\n", + " 186.31849599, 193.12969338, 199.94089077, 206.75208816,\n", + " 213.56328555, 220.37448294, 227.18568033, 233.99687772,\n", + " 240.80807511]), 'probs': array([0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. ,\n", + " 0.01360544, 0. , 0.00680272, 0.00680272, 0.01360544,\n", + " 0.02721088, 0.03401361, 0.02721088, 0.02721088, 0.04761905,\n", + " 0.10204082, 0.16326531, 0.21768707, 0.31292517]), 'dotted_forecast': 237.8190736254482}, {'bins': array([ 77.33933776, 84.15053515, 90.96173254, 97.77292993,\n", + " 104.58412732, 111.39532471, 118.2065221 , 125.01771949,\n", + " 131.82891688, 138.64011427, 145.45131165, 152.26250904,\n", + " 159.07370643, 165.88490382, 172.69610121, 179.5072986 ,\n", + " 186.31849599, 193.12969338, 199.94089077, 206.75208816,\n", + " 213.56328555, 220.37448294, 227.18568033, 233.99687772,\n", + " 240.80807511]), 'probs': array([0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5 , 0. ,\n", + " 0.25, 0.25]), 'dotted_forecast': 306.62861374942815}]\n" + ] + } + ], + "source": [ + "for alg in di.keys():\n", + " print(get_density_forecast(sunspot_ts, 3, alg))\n", + " break" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "7c6c9296", + "metadata": {}, + "outputs": [], + "source": [ + "new_di = {k:[] for k in di.keys()}\n", + "for k in new_di.keys():\n", + " new_di[k] = np.random.randn(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "f725d2f6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(new_di)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "9b35af44", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.56998737, -1.96483543, -2.67841155, -0.35573552, -0.54025088,\n", + " -2.49544177, -0.65328131, -0.80409033, -1.67569507, -0.85820091])" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(list(new_di.values())).min(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "f34baf53", + "metadata": {}, + "outputs": [], + "source": [ + "omega_b = get_omega(sunspot_ts, mode=\"basic\", bins=10)\n", + "omega_m = get_omega(sunspot_ts, mode=\"mean\", bins=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "f83e45a1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'bins': array([ 0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204]),\n", + " 'probs': array([0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0.09090909, 0.09090909,\n", + " 0.27272727, 0.54545455]),\n", + " 'dotted_forecast': 237.8190736254482}" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_density_forecast(sunspot_ts, 3, Holt, {},\n", + " bins=10, omega=omega_m, fittedvalues=False)[-2]" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "9cbd6844", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_losses2(ts, horizon, alg_dict, omega_mode, best_m, ax, bins=10, title='', legend=[]):\n", + " omega = get_omega(ts, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict = {}\n", + " for base_alg, base_params in alg_dict.items():\n", + " pred_dict[base_alg] = get_density_forecast(ts, horizon, base_alg, base_params,\n", + " bins=bins, omega=omega, fittedvalues=True)\n", + " \n", + " pred_dict[aggregating_algorithm] = aggregating_algorithm(ts, horizon, alg_dict,\n", + " bins=bins, omega_mode=omega_mode, m=best_m)\n", + "\n", + " losses_dict = {key : [] for key in pred_dict.keys()}\n", + " \n", + " for i in range(len(ts.values)):\n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg].append(brier_loss(ts.values[i], pred_dict[alg][i]))\n", + " \n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg] = np.cumsum(losses_dict[alg]) / list(range(1, len(ts.values) + 1))\n", + " \n", + " theoretical_bound = (np.array(list(losses_dict.values())).min(axis=0)\n", + " + np.log(len(losses_dict)) / list(range(1, len(ts.values) + 1)))\n", + " \n", + " tb_errors = (losses_dict[aggregating_algorithm] > theoretical_bound).sum()\n", + " if tb_errors == 0:\n", + " print(\"Theoretical bound met\")\n", + " else:\n", + " print(f\"Theoretical bound not met: {tb_errors / ts.values.size}% violations\")\n", + " \n", + " for alg in losses_dict.keys():\n", + " ax.plot(ts.index, losses_dict[alg])\n", + " ax.plot(ts.index, theoretical_bound)\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(legend, loc='lower right');" + ] + }, + { + "cell_type": "markdown", + "id": "bd4363b0", + "metadata": {}, + "source": [ + "### Гистограммные метрики точности прогноза" + ] + }, + { + "cell_type": "markdown", + "id": "8da984c6", + "metadata": {}, + "source": [ + "Kullback-Leibler divergence" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "7f711b28", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 19.02, 38.04, 57.06, 76.08, 95.1 , 114.12, 133.14,\n", + " 152.16, 171.18, 190.2 ])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "AA_preds[0]['bins']" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "96ed986e", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.special import rel_entr, kl_div" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "a849cb64", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.05863744, -0.04891934, 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. ])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rel_entr(AA_preds[0]['probs'], AA_preds[1]['probs'])" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "6af35af8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rel_entr(np.histogram(wage_ts.values, bins=10, density=True)[0], AA_preds[-1]['probs'])" + ] + }, + { + "cell_type": "markdown", + "id": "31a8208e", + "metadata": {}, + "source": [ + "Sharpness (Negative Log-likelihood)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "f050c222", + "metadata": {}, + "outputs": [], + "source": [ + "# def NLL(density_dict, omega=None, base=np.e):\n", + "# probs = (np.roll(density_dict['bins'], -1) - density_dict['bins'])[:-1] * density_dict['probs']\n", + " \n", + "# if omega:\n", + "# for x in omega:\n", + "# else:\n", + "# nll = -np.log(probs) / np.log(base)\n", + "# # nll = np.where(nll==np.inf, 0, nll) \n", + " \n", + "# return nll" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "7fbc0c0e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([15.31268557, 3.70731443, 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. ])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.diff(AA_preds[10]['bins']) * (AA_preds[10]['probs'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "2c373d1b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " sunspot.year\n", + "1700 5.0\n", + "1701 11.0\n", + "1702 16.0\n", + "1703 23.0\n", + "1704 36.0\n", + "... ...\n", + "1984 45.9\n", + "1985 17.9\n", + "1986 13.4\n", + "1987 29.2\n", + "1988 100.2\n", + "\n", + "[289 rows x 1 columns]" + ] + }, + "execution_count": 151, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sunspot_ts" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "04d25733", + "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": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/DFA_forecast.ipynb b/DFA_forecast.ipynb new file mode 100644 index 0000000..8df9ab5 --- /dev/null +++ b/DFA_forecast.ipynb @@ -0,0 +1,2876 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "61cd794e", + "metadata": {}, + "outputs": [], + "source": [ + "import import_ipynb\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pickle\n", + "import copy\n", + "import statsmodels.api as sm\n", + "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n", + "from statsmodels.tsa.arima.model import ARIMA\n", + "from statsmodels.tsa.forecasting.theta import ThetaModel\n", + "from scipy.optimize import fsolve\n", + "from scipy.special import rel_entr, kl_div\n", + "from tqdm.notebook import tqdm\n", + "\n", + "import matplotlib.pyplot as plt\n", + "plt.style.use('fivethirtyeight')\n", + "# plt.style.use('seaborn')\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3bfd199b", + "metadata": {}, + "outputs": [], + "source": [ + "from ipynb.fs.full.DFA_func import (plot_density_forecast, aggregating_algorithm,\n", + " get_optim_m, get_optim_alpha, plot_optim_m_alpha, get_opt_arima, plot_AA_losses,\n", + " get_auto_base_alg_list, adaptive_selection, adaptive_combination,\n", + " get_all_predictions, get_all_predictions_AS, get_all_predictions_AC,\n", + " plot_total_losses, plot_total_losses_all, plot_AS_losses, plot_AC_losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "0c83534f", + "metadata": {}, + "outputs": [], + "source": [ + "sunspot_ts = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/datasets/sunspot.year.csv')\n", + "sunspot_ts.index = sunspot_ts['time'].values\n", + "sunspot_ts.drop(['Unnamed: 0', 'time'], axis=1, inplace=True)\n", + "sunspot_ts.rename({'value': 'sunspot.year'}, axis=1, inplace=True)" + ] + }, + { + "cell_type": "markdown", + "id": "79656337", + "metadata": {}, + "source": [ + "**Пример использования**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "37241aba", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/20 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "base_alg_list = [(Holt, {}, {}),\n", + " (SimpleExpSmoothing, {}, {}),\n", + " (ExponentialSmoothing, {}, {}),\n", + " (ExponentialSmoothing, {\"trend\": \"additive\"}, {}),\n", + " (ARIMA, {'order': (1, 2, 0)}, {})]\n", + "best_m, best_loss, n_bins, all_losses_dict = get_optim_m(sunspot_ts, base_alg_list,\n", + " bins=10, omega_mode=\"mean\")\n", + "\n", + "print(f\"m={best_m} - {best_loss}, n_bins={n_bins}\")\n", + "\n", + "plt.figure(figsize=(15, 4))\n", + "plot_optim_m_alpha(all_losses_dict, best_m)\n", + "plt.title(\"Optimal m\")\n", + "plt.xlabel(\"m\")\n", + "plt.ylabel(\"loss\");" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a08b0ad6", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/299 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "plot_AA_losses(sunspot_ts, 10, base_alg_list,\n", + " omega_mode=\"mean\", bins=10, best_m=best_m, ax=ax,\n", + " title=\"Mean omega\", legend=['Holt', 'SES', 'ES', 'ES_trend', 'ARIMA', 'AA', 'Tb'], number_to_plot=3)\n", + "ax.set_xlabel('year')\n", + "ax.set_ylabel('loss');" + ] + }, + { + "cell_type": "markdown", + "id": "b0191b99", + "metadata": {}, + "source": [ + "## Предобработка данных" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e52ff741", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Store_id SKU_id Promo Demand Regular_Price Promo_Price\n", + "Date \n", + "2015-01-01 1 1 NaN 22 163.78 NaN\n", + "2015-01-02 1 1 NaN 41 163.78 NaN\n", + "2015-01-03 1 1 NaN 35 163.78 NaN" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.read_csv('data/retail_dataset.csv')\n", + "\n", + "df.Date = pd.to_datetime(df.Date, dayfirst = True)\n", + "df.set_index(['Date'], inplace=True)\n", + "\n", + "df.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "636dfbfb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.Demand.isna().sum()" + ] + }, + { + "cell_type": "markdown", + "id": "b5cfd2a0", + "metadata": {}, + "source": [ + "Определим актуальную цену с учётом промо" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "58701edb", + "metadata": {}, + "outputs": [], + "source": [ + "def get_actual_price(x):\n", + " promo = x[0]\n", + " regular_price = x[1]\n", + " promo_price = x[2]\n", + " \n", + " if promo == 1:\n", + " return promo_price\n", + " else:\n", + " return regular_price" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "4a4afc4f", + "metadata": {}, + "outputs": [], + "source": [ + "df['Actual_Price'] = df[['Promo', 'Regular_Price', 'Promo_Price']].apply(\n", + " get_actual_price, axis=1, result_type='reduce'\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "495649ac", + "metadata": {}, + "source": [ + "При этом можно предположить, что, к примеру, регулярная цена, равная 100, и промо цена 100 при регулярной цене 120 (скидка 20), могут по-разному влиять на спрос. Поэтому заполним пропущенные значения в Promo нулями, чтобы в дальнейшем данный бинарный признак можно было использовать." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "b4f8a406", + "metadata": {}, + "outputs": [], + "source": [ + "df.Promo.fillna(0, inplace=True)\n", + "df.Promo = df.Promo.astype(int)" + ] + }, + { + "cell_type": "markdown", + "id": "c676cc1f", + "metadata": {}, + "source": [ + "Визуализируем наши признаки для того, чтобы понять, как они связаны с целевой переменной. Для примера возьмём продажи обоих товаров в магазине со store_id = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "93594c1b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[(df.Store_id == 10) & (df.SKU_id == 1)][['Demand', 'Actual_Price']].plot(\n", + " secondary_y = ['Actual_Price'], figsize=(15,4));\n", + "\n", + "for_plot = df[(df.Store_id == 1) & (df.SKU_id == 2)][['Demand','Actual_Price']]\n", + "for_plot.plot(secondary_y = ['Actual_Price'], figsize=(15,4));" + ] + }, + { + "cell_type": "markdown", + "id": "89ce5a1f", + "metadata": {}, + "source": [ + "## Разбиение на train и test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "b479068d", + "metadata": {}, + "outputs": [], + "source": [ + "train_dict = {}\n", + "test_dict = {}\n", + "\n", + "for store_id in df.Store_id.unique():\n", + " for sku_id in df.SKU_id.unique():\n", + " ts = df[(df.Store_id == store_id) & (df.SKU_id == sku_id)][\"Demand\"]\n", + " actual_price = df[(df.Store_id == store_id) & (df.SKU_id == sku_id)][\"Actual_Price\"]\n", + " promo = df[(df.Store_id == store_id) & (df.SKU_id == sku_id)][\"Promo\"]\n", + " if not ts.empty and ts.size == 508:\n", + " train_dict[f\"sku{sku_id}_store{store_id}\"] = {}\n", + " train_dict[f\"sku{sku_id}_store{store_id}\"][\"ts\"] = ts.loc[:\"2015-12-31\"]\n", + " train_dict[f\"sku{sku_id}_store{store_id}\"][\"actual_price\"] = actual_price.loc[:\"2015-12-31\"]\n", + " train_dict[f\"sku{sku_id}_store{store_id}\"][\"promo\"] = promo.loc[:\"2015-12-31\"]\n", + " \n", + " test_dict[f\"sku{sku_id}_store{store_id}\"] = {}\n", + " test_dict[f\"sku{sku_id}_store{store_id}\"][\"ts\"] = ts.loc[\"2016-01-01\":]\n", + " test_dict[f\"sku{sku_id}_store{store_id}\"][\"actual_price\"] = actual_price.loc[\"2016-01-01\":]\n", + " test_dict[f\"sku{sku_id}_store{store_id}\"][\"promo\"] = promo.loc[\"2016-01-01\":]" + ] + }, + { + "cell_type": "markdown", + "id": "1bb8ad38", + "metadata": {}, + "source": [ + "Каждый элемент словаря содержит ещё один словарь, состоязий из трёх pandas.Series\n", + "\n", + "Всего 145 уникальных временных рядов длиной 508 тайм стемпов." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "f79d105b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(145, 145)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(train_dict), len(test_dict)" + ] + }, + { + "cell_type": "markdown", + "id": "2a4d7ef0", + "metadata": {}, + "source": [ + "train состоит из 365 тайм стемпов, а test из 143" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "367888e7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(365, 143)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "train_dict['sku1_store1']['ts'].size, test_dict['sku1_store1']['ts'].size" + ] + }, + { + "cell_type": "markdown", + "id": "7bffb614", + "metadata": {}, + "source": [ + "## Подбор базовых алгоритмов" + ] + }, + { + "cell_type": "markdown", + "id": "88b437c1", + "metadata": {}, + "source": [ + "### ARIMA" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "ffffd425", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " SARIMAX Results \n", + "==============================================================================\n", + "Dep. Variable: Demand No. Observations: 365\n", + "Model: ARIMA Log Likelihood -2563.144\n", + "Date: Tue, 25 Jan 2022 AIC 5134.287\n", + "Time: 00:24:49 BIC 5149.887\n", + "Sample: 01-01-2015 HQIC 5140.487\n", + " - 12-31-2015 \n", + "Covariance Type: opg \n", + "================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "--------------------------------------------------------------------------------\n", + "const 750.5173 508.034 1.477 0.140 -245.212 1746.247\n", + "Actual_Price -4.3362 3.729 -1.163 0.245 -11.644 2.972\n", + "Promo 455.0629 73.164 6.220 0.000 311.663 598.463\n", + "sigma2 7.361e+04 2581.866 28.511 0.000 6.86e+04 7.87e+04\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 112.89 Jarque-Bera (JB): 24017.93\n", + "Prob(Q): 0.00 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 6.31 Skew: 4.96\n", + "Prob(H) (two-sided): 0.00 Kurtosis: 41.48\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" + ] + } + ], + "source": [ + "arima_000_000_0 = ARIMA(endog=train_dict[\"sku1_store1\"][\"ts\"],\n", + " exog=(pd.DataFrame(data=[train_dict[\"sku1_store1\"][\"actual_price\"],\n", + " train_dict[\"sku1_store1\"][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int})),\n", + " order=(0, 0, 0)).fit()\n", + "\n", + "print(arima_000_000_0.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "9010b01b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 10))\n", + "ax1 = fig.add_subplot(211)\n", + "fig = sm.graphics.tsa.plot_acf(arima_000_000_0.resid.values.squeeze(), lags=40, ax=ax1)\n", + "ax2 = fig.add_subplot(212)\n", + "fig = sm.graphics.tsa.plot_pacf(arima_000_000_0.resid.values.squeeze(), lags=100, ax=ax2)" + ] + }, + { + "cell_type": "markdown", + "id": "2aa58d59", + "metadata": {}, + "source": [ + "Возможные варианты параметров:\n", + "\n", + "p = {0, 1, 2, 3, 4, 5, 6}\n", + "\n", + "q = {0, 1, 2, 3, 4, 5, 6}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "9dc4fb00", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/49 [00:00}\n" + ] + } + ], + "source": [ + "endog = train_dict[\"sku1_store1\"][\"ts\"]\n", + "exog = (pd.DataFrame(data=[train_dict[\"sku1_store1\"][\"actual_price\"],\n", + " train_dict[\"sku1_store1\"][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + "\n", + "grid_params = {'p': [0, 1, 2, 3, 4, 5, 6], 'd': [0], 'q': [0, 1, 2, 3, 4, 5, 6],\n", + " 'P': [0], 'D': [0], 'Q': [0], 's': [0]}\n", + "\n", + "opt_model = get_opt_arima(endog, exog, grid_params)\n", + "print(opt_model)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "76cfda35", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " SARIMAX Results \n", + "==============================================================================\n", + "Dep. Variable: Demand No. Observations: 365\n", + "Model: ARIMA(0, 0, 6) Log Likelihood -2469.851\n", + "Date: Tue, 25 Jan 2022 AIC 4959.703\n", + "Time: 00:25:09 BIC 4998.702\n", + "Sample: 01-01-2015 HQIC 4975.202\n", + " - 12-31-2015 \n", + "Covariance Type: opg \n", + "================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "--------------------------------------------------------------------------------\n", + "const 750.8097 643.434 1.167 0.243 -510.297 2011.916\n", + "Actual_Price -4.3700 4.862 -0.899 0.369 -13.899 5.159\n", + "Promo 455.7698 58.366 7.809 0.000 341.375 570.164\n", + "ma.L1 0.5879 0.021 28.195 0.000 0.547 0.629\n", + "ma.L2 0.2213 0.027 8.236 0.000 0.169 0.274\n", + "ma.L3 0.0595 0.044 1.350 0.177 -0.027 0.146\n", + "ma.L4 0.0462 0.042 1.102 0.271 -0.036 0.128\n", + "ma.L5 0.3795 0.043 8.796 0.000 0.295 0.464\n", + "ma.L6 0.2669 0.028 9.529 0.000 0.212 0.322\n", + "sigma2 4.399e+04 1879.628 23.405 0.000 4.03e+04 4.77e+04\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 0.06 Jarque-Bera (JB): 8718.38\n", + "Prob(Q): 0.80 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 3.85 Skew: 2.67\n", + "Prob(H) (two-sided): 0.00 Kurtosis: 26.34\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" + ] + } + ], + "source": [ + "print(opt_model['opt_model'].summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "df407429", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 7))\n", + "ax1 = fig.add_subplot(211)\n", + "fig = sm.graphics.tsa.plot_acf(opt_model['opt_model'].resid.values.squeeze(), lags=40, ax=ax1)\n", + "ax2 = fig.add_subplot(212)\n", + "fig = sm.graphics.tsa.plot_pacf(opt_model['opt_model'].resid.values.squeeze(), lags=100, ax=ax2)" + ] + }, + { + "cell_type": "markdown", + "id": "5423de72", + "metadata": {}, + "source": [ + "### ES" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e4055c51", + "metadata": {}, + "outputs": [], + "source": [ + "SES = ExponentialSmoothing(train_dict[\"sku1_store1\"][\"ts\"]).fit(optimized=True)\n", + "ES_add7 = ExponentialSmoothing(train_dict[\"sku1_store1\"][\"ts\"], seasonal=\"add\",\n", + " seasonal_periods=7).fit(optimized=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "dbc6caa0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
ExponentialSmoothing Model Results
Dep. Variable: Demand No. Observations: 365
Model: ExponentialSmoothing SSE 31641209.460
Optimized: True AIC 4154.077
Trend: None BIC 4161.877
Seasonal: None AICC 4154.188
Seasonal Periods: None Date: Tue, 25 Jan 2022
Box-Cox: False Time: 00:25:09
Box-Cox Coeff.: None
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coeff code optimized
smoothing_level 0.6194948 alpha True
initial_level 29.451987 l.0 True
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " ExponentialSmoothing Model Results \n", + "================================================================================\n", + "Dep. Variable: Demand No. Observations: 365\n", + "Model: ExponentialSmoothing SSE 31641209.460\n", + "Optimized: True AIC 4154.077\n", + "Trend: None BIC 4161.877\n", + "Seasonal: None AICC 4154.188\n", + "Seasonal Periods: None Date: Tue, 25 Jan 2022\n", + "Box-Cox: False Time: 00:25:09\n", + "Box-Cox Coeff.: None \n", + "==============================================================================\n", + " coeff code optimized \n", + "------------------------------------------------------------------------------\n", + "smoothing_level 0.6194948 alpha True\n", + "initial_level 29.451987 l.0 True\n", + "------------------------------------------------------------------------------\n", + "\"\"\"" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "SES.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "23188a82", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
ExponentialSmoothing Model Results
Dep. Variable: Demand No. Observations: 365
Model: ExponentialSmoothing SSE 31490579.121
Optimized: True AIC 4166.335
Trend: None BIC 4201.434
Seasonal: Additive AICC 4167.083
Seasonal Periods: 7 Date: Tue, 25 Jan 2022
Box-Cox: False Time: 00:25:09
Box-Cox Coeff.: None
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coeff code optimized
smoothing_level 0.6223781 alpha True
smoothing_seasonal 0.0143521 gamma True
initial_level 264.60163 l.0 True
initial_seasons.0 -226.10395 s.0 True
initial_seasons.1 -234.05687 s.1 True
initial_seasons.2 -257.14016 s.2 True
initial_seasons.3 -233.46726 s.3 True
initial_seasons.4 -202.13433 s.4 True
initial_seasons.5 -209.86438 s.5 True
initial_seasons.6 -226.35247 s.6 True
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " ExponentialSmoothing Model Results \n", + "================================================================================\n", + "Dep. Variable: Demand No. Observations: 365\n", + "Model: ExponentialSmoothing SSE 31490579.121\n", + "Optimized: True AIC 4166.335\n", + "Trend: None BIC 4201.434\n", + "Seasonal: Additive AICC 4167.083\n", + "Seasonal Periods: 7 Date: Tue, 25 Jan 2022\n", + "Box-Cox: False Time: 00:25:09\n", + "Box-Cox Coeff.: None \n", + "=================================================================================\n", + " coeff code optimized \n", + "---------------------------------------------------------------------------------\n", + "smoothing_level 0.6223781 alpha True\n", + "smoothing_seasonal 0.0143521 gamma True\n", + "initial_level 264.60163 l.0 True\n", + "initial_seasons.0 -226.10395 s.0 True\n", + "initial_seasons.1 -234.05687 s.1 True\n", + "initial_seasons.2 -257.14016 s.2 True\n", + "initial_seasons.3 -233.46726 s.3 True\n", + "initial_seasons.4 -202.13433 s.4 True\n", + "initial_seasons.5 -209.86438 s.5 True\n", + "initial_seasons.6 -226.35247 s.6 True\n", + "---------------------------------------------------------------------------------\n", + "\"\"\"" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ES_add7.summary()" + ] + }, + { + "cell_type": "markdown", + "id": "4dadc313", + "metadata": {}, + "source": [ + "### Итоговый набор базовых алгоритмов" + ] + }, + { + "cell_type": "markdown", + "id": "134a0638", + "metadata": {}, + "source": [ + "По итогу, для данной задачи всего будет 8 базовых алгоритмов:\n", + "\n", + "1. **Auto SARIMAX**. Экзогенные переменные: Actual Price and Promo. Подбор p и q в диапазоне [0, 6].\n", + "2. **Auto SES**. Автоматический подбор $\\alpha$ (smoothing of level).\n", + "3. **Auto ES with additive seasonality (s=7)**. Автоматический подбор $\\alpha$ (smoothing of level) and $\\gamma$ (smoothing of seasonality).\n", + "\n", + "Эти три модели будут автоматически настривается на основе обучающих данных для каждого временного ряда в отдельности. \n", + "\n", + "Помимо автоматических моделей будет ещё 5 базовых алгоритмов:\n", + "\n", + "4. **SES with $\\alpha=0.9$**\n", + "5. **SES with $\\alpha=0.4$**\n", + "6. **ES with additive seasonality (s=7) and $\\alpha=0.8$, $\\gamma=0.6$**\n", + "7. **ES with additive seasonality (s=7) and $\\alpha=0.4$, $\\gamma=0.9$**\n", + "8. **ES with additive seasonality (s=7) and $\\alpha=0.4$, $\\gamma=0.1$**\n" + ] + }, + { + "cell_type": "markdown", + "id": "b72fd38b", + "metadata": {}, + "source": [ + "### Построение агрегирующего алгоритма" + ] + }, + { + "cell_type": "markdown", + "id": "36318485", + "metadata": {}, + "source": [ + "Алгоритм построения агрегирующего алгоритма выглядит следующим образом:\n", + "1. На вход поступает временной ряд. \n", + "2. На основе обучающей выборки рассчитываются базовые алгоритмы.\n", + "3. На обучающей выборке подбирается оптимальное значение m.\n", + "4. Далее строится агрегирующий алгоритм на тестовых данных. " + ] + }, + { + "cell_type": "markdown", + "id": "860f6df5", + "metadata": {}, + "source": [ + "Ниже представлен пример данного алгоритма для одного временного ряда." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "0ae3b49b", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/49 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "best_m, best_loss, n_bins, all_losses_dict = get_optim_m(endog_train, base_alg_list, exog=exog_train,\n", + " bins=10, omega_mode=\"basic\")\n", + "\n", + "print(f\"m={best_m} - {best_loss}, n_bins={n_bins}\")\n", + "\n", + "plt.figure(figsize=(15, 4))\n", + "plot_optim_m_alpha(all_losses_dict, best_m)\n", + "plt.title(\"Optimal m\")\n", + "plt.xlabel(\"m\")\n", + "plt.ylabel(\"loss\");" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "53640e74", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/143 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "endog_test = test_dict[\"sku1_store66\"][\"ts\"]\n", + "exog_test = (pd.DataFrame(data=[test_dict[\"sku1_store66\"][\"actual_price\"],\n", + " test_dict[\"sku1_store66\"][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + "\n", + "\n", + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "sku1_66_losses = plot_AA_losses(endog_test, 0, base_alg_list, exog=exog_test,\n", + " omega_mode=\"basic\", bins=10, best_m=best_m, ax=ax,\n", + " title=\"Basic omega, 10 bins\", legend=['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES',\n", + " 'AA', 'TB'], number_to_plot=3)" + ] + }, + { + "cell_type": "markdown", + "id": "0115e5c5", + "metadata": {}, + "source": [ + "### Анализ результатов (AA vs Base Algorithms)" + ] + }, + { + "cell_type": "markdown", + "id": "de54d7a9", + "metadata": {}, + "source": [ + "Построение агрегирующего алгоритма для всех временных рядов (всего их 145)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "24d49809", + "metadata": {}, + "outputs": [], + "source": [ + "# grid_params = {'p': [0, 1, 2, 3, 4, 5, 6], 'd': [0], 'q': [0, 1, 2, 3, 4, 5, 6],\n", + "# 'P': [0], 'D': [0], 'Q': [0], 's': [0]}\n", + "\n", + "# base_alg_list = [\n", + "# (ExponentialSmoothing, {}, {\"smoothing_level\": 0.9}),\n", + "# (ExponentialSmoothing, {}, {\"smoothing_level\": 0.4}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.8, \"smoothing_seasonal\": 0.6}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.4, \"smoothing_seasonal\": 0.9}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.4, \"smoothing_seasonal\": 0.1})\n", + "# ]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "4743f2ca", + "metadata": {}, + "outputs": [], + "source": [ + "# pred_dict_AA, losses_dict_AA = get_all_predictions(train_dict, test_dict, 0, base_alg_list, grid_params,\n", + "# omega_mode=\"basic\", best_m=\"optim\", is_exog=True, bins=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "c4dd825a", + "metadata": {}, + "outputs": [], + "source": [ + "# with open('data/losses_dict_AA.pickle', 'wb') as file:\n", + "# pickle.dump(losses_dict_AA, file, protocol=pickle.HIGHEST_PROTOCOL)\n", + " \n", + "# with open('data/pred_dict_AA.pickle', 'wb') as file:\n", + "# pickle.dump(pred_dict_AA, file, protocol=pickle.HIGHEST_PROTOCOL)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "55d4bcde", + "metadata": {}, + "outputs": [], + "source": [ + "with open('data/losses_dict_AA.pickle', 'rb') as file:\n", + " losses_dict_AA = pickle.load(file)\n", + "\n", + "with open('data/pred_dict_AA.pickle', 'rb') as file:\n", + " pred_dict_AA = pickle.load(file)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "774cfa84", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Auto_ARIMA mean loss: 0.41903868750741324\n", + "SES1 mean loss: 0.44970145572119175\n", + "Auto_SES mean loss: 0.45454353375828305\n", + "Auto_ES mean loss: 0.47144181569830346\n", + "SES2 mean loss: 0.4821647026031299\n", + "AA mean loss: 0.4059580283938564\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "plot_total_losses(losses_dict_AA, ax, \"Average Losses for All Time Series\",\n", + " ['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES', 'AA'],\n", + " number_to_plot=5)" + ] + }, + { + "cell_type": "markdown", + "id": "2de84cdc", + "metadata": {}, + "source": [ + "## Сравнение с другими методами композиции алгоритмов (Adaptive Selection and Adaptive Combination)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "0a1d9864", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/49 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=3, figsize=(15, 12))\n", + "\n", + "best_m, best_loss, n_bins, AA_losses_dict = get_optim_m(endog_train, base_alg_list, exog=exog_train,\n", + " bins=10, omega_mode=\"basic\")\n", + "\n", + "print(f\"m={best_m} - {best_loss}, n_bins={n_bins}\")\n", + "\n", + "best_alpha_AS, best_loss, n_bins, AS_losses_dict = get_optim_alpha(endog_train, adaptive_selection, base_alg_list,\n", + " exog=exog_train, bins=10, omega_mode=\"basic\")\n", + "\n", + "print(f\"alpha_AS={best_alpha_AS} - {best_loss}, n_bins={n_bins}\")\n", + "\n", + "best_alpha_AC, best_loss, n_bins, AC_losses_dict = get_optim_alpha(endog_train, adaptive_combination, base_alg_list,\n", + " exog=exog_train, bins=10, omega_mode=\"basic\")\n", + "\n", + "print(f\"alpha_AC={best_alpha_AC} - {best_loss}, n_bins={n_bins}\")\n", + "\n", + "plot_optim_m_alpha(AA_losses_dict, best_m, ax=ax[0])\n", + "ax[0].set_title(\"Optimal m\")\n", + "ax[0].set_xlabel(\"m\")\n", + "ax[0].set_ylabel(\"loss\");\n", + "\n", + "plot_optim_m_alpha(AS_losses_dict, best_alpha_AS, ax=ax[1])\n", + "ax[1].set_title(\"Optimal alpha AS\")\n", + "ax[1].set_xlabel(\"alpha\")\n", + "ax[1].set_ylabel(\"loss\");\n", + "\n", + "plot_optim_m_alpha(AC_losses_dict, best_alpha_AC, ax=ax[2])\n", + "ax[2].set_title(\"Optimal alpha AC\")\n", + "ax[2].set_xlabel(\"alpha\")\n", + "ax[2].set_ylabel(\"loss\");" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "9145a8c6", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/143 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "endog_test = test_dict[\"sku1_store66\"][\"ts\"]\n", + "exog_test = (pd.DataFrame(data=[test_dict[\"sku1_store66\"][\"actual_price\"],\n", + " test_dict[\"sku1_store66\"][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + "\n", + "\n", + "fig, ax = plt.subplots(nrows=3, figsize=(15,10))\n", + "\n", + "sku1_66_AA_losses = plot_AA_losses(endog_test, 0, base_alg_list, exog=exog_test,\n", + " omega_mode=\"basic\", bins=10, best_m=best_m, ax=ax[0],\n", + " title=\"Basic omega, 10 bins\", legend=['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES',\n", + " 'AA', 'TB'], number_to_plot=3)\n", + "sku1_66_AS_losses = plot_AS_losses(endog_test, 0, base_alg_list, exog=exog_test,\n", + " omega_mode=\"basic\", bins=10, best_alpha=best_alpha_AS, ax=ax[1],\n", + " title=\"Basic omega, 10 bins\", legend=['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES',\n", + " 'AA'], number_to_plot=3)\n", + "\n", + "sku1_66_AC_losses = plot_AC_losses(endog_test, 0, base_alg_list, exog=exog_test,\n", + " omega_mode=\"basic\", bins=10, best_alpha=best_alpha_AC, ax=ax[2],\n", + " title=\"Basic omega, 10 bins\", legend=['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES',\n", + " 'AA'], number_to_plot=3)" + ] + }, + { + "cell_type": "markdown", + "id": "984e3dff", + "metadata": {}, + "source": [ + "**Построение адаптивной селекции и адаптивной комбинации для всех временных рядов**" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "7897ff2c", + "metadata": {}, + "outputs": [], + "source": [ + "# grid_params = {'p': [0, 1, 2, 3, 4, 5, 6], 'd': [0], 'q': [0, 1, 2, 3, 4, 5, 6],\n", + "# 'P': [0], 'D': [0], 'Q': [0], 's': [0]}\n", + "\n", + "# base_alg_list = [\n", + "# (ExponentialSmoothing, {}, {\"smoothing_level\": 0.9}),\n", + "# (ExponentialSmoothing, {}, {\"smoothing_level\": 0.4}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.8, \"smoothing_seasonal\": 0.6}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.4, \"smoothing_seasonal\": 0.9}),\n", + "# (ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7}, {\"smoothing_level\": 0.4, \"smoothing_seasonal\": 0.1})\n", + "# ]" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "16a1f577", + "metadata": {}, + "outputs": [], + "source": [ + "# pred_dict_AS, losses_dict_AS = get_all_predictions_AS(train_dict, test_dict, 0, base_alg_list, grid_params,\n", + "# omega_mode=\"basic\", best_alpha=\"optim\", is_exog=True, bins=10)\n", + "\n", + "# with open('data/losses_dict_AS.pickle', 'wb') as file:\n", + "# pickle.dump(losses_dict_AS, file, protocol=pickle.HIGHEST_PROTOCOL)\n", + " \n", + "# with open('data/pred_dict_AS.pickle', 'wb') as file:\n", + "# pickle.dump(pred_dict_AS, file, protocol=pickle.HIGHEST_PROTOCOL)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "5983ea4a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Auto_ARIMA mean loss: 0.41903868750741324\n", + "SES1 mean loss: 0.44970145572119175\n", + "Auto_SES mean loss: 0.45454353375828305\n", + "Auto_ES mean loss: 0.47144181569830346\n", + "SES2 mean loss: 0.4821647026031299\n", + "AS mean loss: 0.4171845959491305\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with open('data/losses_dict_AS.pickle', 'rb') as file:\n", + " losses_dict_AS = pickle.load(file)\n", + "\n", + "with open('data/pred_dict_AS.pickle', 'rb') as file:\n", + " pred_dict_AS = pickle.load(file)\n", + "\n", + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "plot_total_losses(losses_dict_AS, ax, \"Average Losses for All Time Series\",\n", + " ['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES', 'AS'],\n", + " number_to_plot=5)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "6fbc9ce0", + "metadata": {}, + "outputs": [], + "source": [ + "# pred_dict_AC, losses_dict_AC = get_all_predictions_AC(train_dict, test_dict, 0, base_alg_list, grid_params,\n", + "# omega_mode=\"basic\", best_alpha=\"optim\", is_exog=True, bins=10)\n", + "\n", + "# with open('data/losses_dict_AC.pickle', 'wb') as file:\n", + "# pickle.dump(losses_dict_AC, file, protocol=pickle.HIGHEST_PROTOCOL)\n", + " \n", + "# with open('data/pred_dict_AC.pickle', 'wb') as file:\n", + "# pickle.dump(pred_dict_AC, file, protocol=pickle.HIGHEST_PROTOCOL)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "cc1a57db", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Auto_ARIMA mean loss: 0.41903868750741324\n", + "SES1 mean loss: 0.44970145572119175\n", + "Auto_SES mean loss: 0.45454353375828305\n", + "Auto_ES mean loss: 0.47144181569830346\n", + "SES2 mean loss: 0.4821647026031299\n", + "AC mean loss: 0.4087710841630158\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with open('data/losses_dict_AC.pickle', 'rb') as file:\n", + " losses_dict_AC = pickle.load(file)\n", + "\n", + "with open('data/pred_dict_AC.pickle', 'rb') as file:\n", + " pred_dict_AC = pickle.load(file)\n", + "\n", + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "plot_total_losses(losses_dict_AC, ax, \"Average Losses for All Time Series\",\n", + " ['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES', 'AC'],\n", + " number_to_plot=5)" + ] + }, + { + "cell_type": "markdown", + "id": "06625a71", + "metadata": {}, + "source": [ + "**Итоговое сравнение**" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "8e350f01", + "metadata": {}, + "outputs": [], + "source": [ + "losses_dict_all = copy.deepcopy(losses_dict_AS)\n", + "for ts_name, losses in losses_dict_all.items():\n", + " losses['AC'] = losses_dict_AC[ts_name]['AC']\n", + " losses['AA'] = losses_dict_AA[ts_name]['AA']" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "e2a8246b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Auto_ARIMA mean loss: 0.41903868750741324\n", + "AS mean loss: 0.4171845959491305\n", + "AC mean loss: 0.4087710841630158\n", + "AA mean loss: 0.4059580283938564\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, figsize=(15,5))\n", + "\n", + "plot_total_losses_all(losses_dict_all, ax, \"Average Losses for All Time Series\",\n", + " ['SES1', 'SES2', 'ES1', 'ES1', 'ES3',\n", + " 'Auto_ARIMA', 'Auto_SES', 'Auto_ES', 'AS', 'AC', 'AA'],\n", + " number_to_plot=1)" + ] + }, + { + "cell_type": "markdown", + "id": "b28bd9d5", + "metadata": {}, + "source": [ + "| Model: \t| Best BA Auto ARIMAX \t| Adaptive Selection \t| Adaptive Combination \t| Aggregating Algorithm \t|\n", + "|--------------\t|:-------------------:\t|:------------------:\t|:--------------------:\t|:---------------------:\t|\n", + "| Brier Loss \t| 0.419 \t| 0.417 \t| 0.409 \t| 0.406 \t|\n", + "| 100% Best BA \t| 100% \t| 99.5% \t| 97.6% \t| 96.9% \t|" + ] + } + ], + "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": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/DFA_func.ipynb b/DFA_func.ipynb new file mode 100644 index 0000000..ec4a8a5 --- /dev/null +++ b/DFA_func.ipynb @@ -0,0 +1,1067 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ba5efd61", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n", + "from statsmodels.tsa.arima.model import ARIMA\n", + "from statsmodels.tsa.forecasting.theta import ThetaModel\n", + "from scipy.optimize import fsolve\n", + "from scipy.special import rel_entr, kl_div\n", + "from sklearn.model_selection import ParameterGrid\n", + "from tqdm.notebook import tqdm\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "95dc2a67", + "metadata": {}, + "outputs": [], + "source": [ + "def get_density_forecast(ts, horizon, base_alg, base_params={}, fit_params={}, exog=None,\n", + " bins='auto', omega=None, fittedvalues=False):\n", + " \"\"\"\n", + " Returns a list of density dictionaries {'bins': np.array, 'probs': np.array, 'dotted_forecast': float}.\n", + " \n", + " Parameters\n", + " ----------\n", + " ts : array_like\n", + " The time series to model.\n", + " horizon : int\n", + " The horizon to forecast.\n", + " base_alg : {ExponentialSmoothing, SimpleExpSmoothing, Holt, ARIMA}\n", + " The name of base algoritm for making density forecast.\n", + " base_params : dict\n", + " A Dictionary with base algorithm parameters.\n", + " bins: int or sequence of scalars or str, optional\n", + " Define how to calculate bins.\n", + " fittedvalues: bool\n", + " Include fitted values in density dictionaries or not.\n", + " \"\"\"\n", + " \n", + " if omega is not None:\n", + " bins = omega\n", + " \n", + " if base_alg == ARIMA:\n", + " alg = base_alg(ts, exog, **base_params).fit(**fit_params)\n", + " else:\n", + " alg = base_alg(ts, **base_params).fit(**fit_params)\n", + " \n", + " if fittedvalues:\n", + " alg_preds = alg.predict(start=0, end=len(ts) + horizon - 1)\n", + " density_dicts = [{'bins': [], 'probs': [], 'dotted_forecast': None} for _ in range(len(ts) + horizon)]\n", + " else:\n", + " alg_preds = alg.predict(start=len(ts), end=len(ts) + horizon - 1)\n", + " density_dicts = [{'bins': [], 'probs': [], 'dotted_forecast': None} for _ in range(horizon)]\n", + " \n", + " for i in range(len(alg_preds)):\n", + " density_dicts[i]['dotted_forecast'] = alg_preds.iloc[i]\n", + " \n", + " current_density = alg.resid + alg_preds.iloc[i]\n", + " probs, bins = np.histogram(current_density, bins=bins)\n", + " density_dicts[i]['probs'], density_dicts[i]['bins'] = probs / np.sum(probs), bins\n", + " \n", + " return density_dicts" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "16f584a2", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_density_forecast(ts, delay, base_alg, base_params={}, fit_params={},\n", + " ax=None, **kwargs):\n", + " \n", + " density_dict = get_density_forecast(ts, delay, base_alg, base_params, fit_params, **kwargs)[delay - 1]\n", + "\n", + " left_edges = density_dict['bins'][:-1]\n", + "\n", + " colors = []\n", + " for i in range(len(left_edges) - 1):\n", + " if left_edges[i] < density_dict['dotted_forecast'] < left_edges[i+1]:\n", + " colors.append('coral')\n", + " else:\n", + " colors.append('royalblue')\n", + " \n", + " alg_name = str(base_alg)[str(base_alg).find('model.') + 6:-2]\n", + " \n", + " if ax:\n", + " ax.bar(left_edges, density_dict['probs'], align='edge',\n", + " width=0.9*(left_edges[1] - left_edges[0]), color=colors)\n", + " ax.set_title(f'{alg_name}: density forecast with delay={delay}')\n", + " else:\n", + " plt.bar(left_edges, density_dict['probs'], align='edge',\n", + " width=0.9*(left_edges[1] - left_edges[0]), color=colors)\n", + " plt.title(f'{alg_name}: density forecast with delay={delay}')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "e9b8b7f7", + "metadata": {}, + "outputs": [], + "source": [ + "def get_omega(ts, mode, bins=None, quantile=0.1):\n", + " if mode == \"basic\":\n", + " return np.histogram_bin_edges(ts, bins)\n", + " if mode == \"quantile\":\n", + " bin_width = int(np.quantile(abs(ts - ts.shift(1))[1:], quantile))\n", + " elif mode == \"mean\":\n", + " bin_width = int(np.mean(abs(ts - ts.shift(1))[1:]))\n", + " \n", + " if bin_width < 1:\n", + " bin_width = 1\n", + " \n", + " min_o = int(np.floor(min(ts.values)))\n", + " max_o = int(np.ceil(max(ts.values)))\n", + " \n", + " bin_edges = [min_o]\n", + " while bin_edges[-1] < max_o:\n", + " bin_edges.append(bin_edges[-1] + bin_width)\n", + " \n", + " return np.array(bin_edges)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5898050e", + "metadata": {}, + "outputs": [], + "source": [ + "def brier_loss(y_true, density_dict, p=2):\n", + " \"\"\"\n", + " Returns np.array of brier scores.\n", + " \n", + " Parameters\n", + " ----------\n", + " y_true : float\n", + " A true value.\n", + " density_dict : dict\n", + " Dict with bins and probabilities information.\n", + " \"\"\"\n", + " bins_number = density_dict['probs'].size\n", + " bins_true = [0] * bins_number\n", + "\n", + " for i in range(bins_number):\n", + " if (density_dict['bins'][i] <= y_true <= density_dict['bins'][i + 1]):\n", + " bins_true[i] = 1\n", + " break\n", + " \n", + " brier_loss = np.sum((abs(density_dict['probs'] - bins_true))**p)\n", + " \n", + " if np.sum(bins_true) == 0:\n", + " brier_loss += 1\n", + " \n", + " return brier_loss" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7b8dfcc5", + "metadata": {}, + "outputs": [], + "source": [ + "def get_generalized_loss(y_true, density_dicts, loss_function, p):\n", + " \"\"\"\n", + " Returns np.array of brier scores.\n", + " \n", + " Parameters\n", + " ----------\n", + " y_true : float\n", + " A true value.\n", + " density_dicts : dict or array-like of dicts\n", + " Dicts with bins and probabilities information.\n", + " \"\"\"\n", + " if type(density_dicts) == dict:\n", + " density_dicts = [density_dicts]\n", + " \n", + " losses = [np.nan] * len(density_dicts)\n", + " \n", + " for density_dict_count, density_dict in enumerate(density_dicts):\n", + " losses[density_dict_count] = loss_function(y_true, density_dict, p)\n", + " \n", + " return np.array(losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "987b50ed", + "metadata": {}, + "outputs": [], + "source": [ + "def avoid_overflowing(base, power_array):\n", + " maximum = np.max(power_array)\n", + " minimum = np.min(power_array)\n", + " \n", + " pmax = -np.log(base)/np.log(2) * maximum\n", + " pmin = -np.log(base)/np.log(2) * minimum\n", + " \n", + " if np.abs(pmax-pmin) > 2097:\n", + " print('Overflow is imminent. Further calculations are not advised')\n", + " return base ** power_array\n", + " power_shift = abs((51+pmin+pmax)/2)\n", + " power_shift = power_shift + min(0, pmin - power_shift + 1023)\n", + " \n", + " power_array = power_array - np.abs(power_shift * np.log(2) / np.log(base))\n", + " \n", + " return base ** power_array" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6c891fac", + "metadata": {}, + "outputs": [], + "source": [ + "def get_generalized_prediction(ts, preds, omega, weights, loss_function, p, eta):\n", + " generalized_predictions = []\n", + " \n", + " for w in zip(omega, omega[1:]):\n", + " losses = get_generalized_loss((w[0] + w[1]) / 2, preds, loss_function, p)\n", + " exp_losses = avoid_overflowing(np.e, -eta * losses)\n", + " generalized_predictions.append(-(1 / eta) * np.log(np.sum(weights * exp_losses)))\n", + " \n", + " return np.array(generalized_predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "d33b19eb", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.optimize import fsolve\n", + "\n", + "def s_equation(s, generalized_predictions, m=2):\n", + " return np.sum([max(x,0) for x in s - generalized_predictions]) - m" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "218c9c7f", + "metadata": {}, + "outputs": [], + "source": [ + "def substitution_function(generalized_predictions, s, m=2):\n", + " predictions = [max(x,0) / m for x in (s - generalized_predictions)]\n", + " return np.array(predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "4c4326a3", + "metadata": {}, + "outputs": [], + "source": [ + "def update_weights(weights, losses, eta=1):\n", + " exp_losses = avoid_overflowing(np.e, -eta * np.array(losses))\n", + " new_weights = weights * exp_losses\n", + " return new_weights / (np.sum(new_weights))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "fd4bb2da", + "metadata": {}, + "outputs": [], + "source": [ + "def aggregating_algorithm(ts, horizon, base_alg_list, bins=10, omega_mode=\"basic\",\n", + " loss_function=brier_loss, exog=None, m=2, p=2, weights=None, eta=1):\n", + " \"\"\"\n", + " Returns density dictionary {'bins': np.array, 'probs': np.array, 'dotted_forecast': float}.\n", + " \n", + " Parameters\n", + " ----------\n", + " ts : array_like\n", + " The time series to model.\n", + " horizon : int\n", + " The delay to forecast.\n", + " base_alg_list : dict\n", + " The dictionary with the names of base algoritms and their params:\n", + " base_alg {ExponentialSmoothing, SimpleExpSmoothing, Holt} - name of base algorithm.\n", + " base_alg_params : dict - a dictionary of base algorithm's parameters.\n", + " loss_function : function\n", + " The loss function of aggregating algorithm.\n", + " \"\"\"\n", + " \n", + " T = len(ts)\n", + " K = len(base_alg_list)\n", + " \n", + " AA_preds = [{} for i in range(T + horizon)]\n", + " BA_preds = np.array([{} for i in range((T + horizon) * K)]).reshape(K, T + horizon) \n", + " \n", + " if not weights:\n", + " weights = np.full(K, 1/K)\n", + " \n", + " omega = get_omega(ts, mode=omega_mode, bins=bins) # здесь в Omega прогнозы не учитываются\n", + " \n", + " i = 0\n", + " for base_alg, base_alg_params, fit_alg_params in base_alg_list:\n", + " BA_preds[i] = get_density_forecast(ts, horizon, base_alg, base_params=base_alg_params,\n", + " fit_params=fit_alg_params, omega=omega, exog=exog, fittedvalues=True)\n", + " i += 1\n", + " \n", + " \n", + " losses, prev_losses = None, None\n", + " \n", + " for t in tqdm(range(T + horizon), leave=False):\n", + " preds = BA_preds[:, t]\n", + " \n", + " if not prev_losses:\n", + " prev_losses = [loss_function(ts.values[t], pred, p) for pred in preds] # cheat\n", + " \n", + " generalized_predictions = get_generalized_prediction(ts.values[:t], preds, omega,\n", + " weights, loss_function, p, eta)\n", + " \n", + " #solving the equation to find s\n", + " s_init = np.max(generalized_predictions)\n", + " s = fsolve(s_equation, s_init, args=(generalized_predictions, m))\n", + " \n", + " #get real prediction with substitution function\n", + " AA_preds[t]['bins'] = BA_preds[:, t][0]['bins']\n", + " real_predictions = substitution_function(generalized_predictions, s, m)\n", + " AA_preds[t]['probs'] = real_predictions\n", + " \n", + " #update weights \n", + " if t < T: \n", + " losses = [loss_function(ts.values[t], pred, p) for pred in preds]\n", + " weights = update_weights(weights, losses, eta)\n", + "\n", + " prev_losses = losses\n", + " \n", + " return AA_preds" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "fe0fe6d0", + "metadata": {}, + "outputs": [], + "source": [ + "def get_optim_m(ts, base_alg_list, omega_mode=\"basic\",\n", + " exog=None, bins=10, p=2):\n", + " best_m = 0\n", + " best_loss = 1000\n", + " AA_losses = {}\n", + " # (np.linspace(0.1, 10, 100),\n", + " for m in tqdm(np.linspace(0.5, 10, 20), leave=False):\n", + " AA_preds = aggregating_algorithm(ts, 0, base_alg_list,\n", + " bins=bins, omega_mode=omega_mode, exog=exog, m=m, p=p)\n", + " AA_losses[m] = []\n", + " for i in range(len(ts.values)):\n", + " AA_losses[m].append((brier_loss(ts.values[i], AA_preds[i])))\n", + " loss = np.mean(AA_losses[m])\n", + "\n", + " if loss < best_loss:\n", + " best_m = m\n", + " best_loss = loss\n", + " \n", + " n_bins = AA_preds[0]['probs'].size\n", + " return best_m, best_loss, n_bins, AA_losses" + ] + }, + { + "cell_type": "code", + "execution_count": 266, + "id": "4ee1447a", + "metadata": {}, + "outputs": [], + "source": [ + "def get_optim_alpha(ts, algorithm, base_alg_list, omega_mode=\"basic\",\n", + " exog=None, bins=10, p=2):\n", + " best_alpha = 0\n", + " best_loss = 1000\n", + " AS_AC_losses = {}\n", + " for alpha in tqdm(np.linspace(0.1, 0.9, 9), leave=False):\n", + " AS_AC_preds = algorithm(ts, 0, base_alg_list, alpha=alpha,\n", + " bins=bins, omega_mode=omega_mode, p=p, exog=exog)\n", + " AS_AC_losses[alpha] = []\n", + " for i in range(len(ts.values)):\n", + " AS_AC_losses[alpha].append((brier_loss(ts.values[i], AS_AC_preds[i])))\n", + " loss = np.mean(AS_AC_losses[alpha])\n", + "\n", + " if loss < best_loss:\n", + " best_alpha = alpha\n", + " best_loss = loss\n", + " \n", + " n_bins = AS_AC_preds[0]['probs'].size\n", + " return best_alpha, best_loss, n_bins, AS_AC_losses" + ] + }, + { + "cell_type": "code", + "execution_count": 286, + "id": "2f7813cc", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_optim_m_alpha(all_losses_dict, best_m_alpha, ax=plt):\n", + " all_losses = [(key, np.nanmean(values)) for key, values in all_losses_dict.items()]\n", + " m_alpha_list, loss_list = zip(*all_losses)\n", + "\n", + " ax.plot(m_alpha_list, loss_list)\n", + " \n", + " x, y = best_m_alpha, np.nanmean(all_losses_dict[best_m_alpha])\n", + " ax.scatter(x, y, s=70, c=\"orange\", zorder=3)\n", + " ax.text(x - 0.025, y, '({}, {})'.format(x, round(y, 2)));" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "e7bc5c79", + "metadata": {}, + "outputs": [], + "source": [ + "def get_opt_arima(endog, exog, grid_params):\n", + " opt_model = {'opt_params': {'order': (0, 0, 0), 'seasonal_order': (0, 0, 0, 0)},\n", + " 'opt_bic': 10**6, 'opt_model': None}\n", + " \n", + " # 'opt_params': {'p': 0, 'd':0, 'q': 0, 'P': 0, 'D':0, 'Q': 0, 's': 0}\n", + "\n", + " grid = ParameterGrid(grid_params)\n", + " for params in tqdm(grid, leave=False):\n", + " try:\n", + " arima = ARIMA(endog,\n", + " exog,\n", + " order=(params['p'], params['d'], params['q']),\n", + " seasonal_order=(params['P'], params['D'], params['Q'], params['s'])).fit()\n", + " except:\n", + " print(\"LU decomposition error\")\n", + " continue\n", + "\n", + " if arima.bic < opt_model['opt_bic']:\n", + " opt_model['opt_params']['order'] = (params['p'], params['d'], params['q'])\n", + " opt_model['opt_params']['seasonal_order'] = (params['P'], params['D'], params['Q'], params['s'])\n", + " opt_model['opt_bic'] = arima.bic\n", + " opt_model['opt_model'] = arima\n", + " \n", + " return opt_model" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "489826b4", + "metadata": {}, + "outputs": [], + "source": [ + "def get_auto_base_alg_list(endog, exog, grid_params):\n", + " auto_base_alg_list = []\n", + " \n", + " opt_arima = get_opt_arima(endog, exog, grid_params)\n", + " auto_base_alg_list.append((ARIMA, opt_arima['opt_params'], {}))\n", + " \n", + " SES = ExponentialSmoothing(endog).fit(optimized=True)\n", + " auto_base_alg_list.append((ExponentialSmoothing, {},\n", + " {'smoothing_level': SES.params['smoothing_level']}))\n", + " \n", + " ES_add7 = ExponentialSmoothing(endog, seasonal=\"add\",\n", + " seasonal_periods=7).fit(optimized=True)\n", + " auto_base_alg_list.append((ExponentialSmoothing, {\"seasonal\": \"add\", \"seasonal_periods\": 7},\n", + " {'smoothing_level': ES_add7.params['smoothing_level'],\n", + " 'smoothing_seasonal': ES_add7.params['smoothing_seasonal']}))\n", + " \n", + " return auto_base_alg_list" + ] + }, + { + "cell_type": "code", + "execution_count": 225, + "id": "813a429f", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_AA_losses(ts, horizon, base_alg_list, omega_mode, best_m, ax, bins=10, exog=None,\n", + " title='', legend=[], number_to_plot=None):\n", + " omega = get_omega(ts, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in base_alg_list:\n", + " pred_dict[f\"alg{i}\"] = get_density_forecast(ts, horizon, base_alg, base_params, fit_params,\n", + " bins=bins, omega=omega, exog=exog, fittedvalues=True)\n", + " i += 1\n", + " \n", + " pred_dict[\"AA\"] = aggregating_algorithm(ts, horizon, base_alg_list, exog=exog,\n", + " bins=bins, omega_mode=omega_mode, m=best_m)\n", + "\n", + " losses_dict = {key : [] for key in pred_dict.keys()}\n", + " \n", + " for i in range(len(ts.values)):\n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg].append(brier_loss(ts.values[i], pred_dict[alg][i]))\n", + " \n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg] = np.cumsum(losses_dict[alg]) / list(range(1, len(ts.values) + 1))\n", + " \n", + " theoretical_bound = (np.array(list(losses_dict.values())).min(axis=0)\n", + " + np.log(len(losses_dict)) / list(range(1, len(ts.values) + 1)))\n", + " \n", + " tb_errors = (losses_dict[\"AA\"] > theoretical_bound).sum()\n", + " if tb_errors == 0:\n", + " print(\"Theoretical bound met\")\n", + " else:\n", + " print(f\"Theoretical bound not met: {tb_errors / ts.values.size}% violations\")\n", + " \n", + " losses_dict_sorted = {k: v for k, v in sorted(losses_dict.items(), key=lambda item: item[1].mean())}\n", + " \n", + " if not number_to_plot:\n", + " number_to_plot = len(base_alg_list)\n", + " \n", + " real_legend = []\n", + " i = 0\n", + " for alg in losses_dict_sorted.keys():\n", + " if i < number_to_plot:\n", + " if alg == \"AA\":\n", + " continue\n", + " ax.plot(ts.index, losses_dict_sorted[alg])\n", + " i += 1\n", + " real_legend.append(legend[int(alg[-1]) - 1])\n", + " print(f\"{legend[int(alg[-1]) - 1]} mean loss: {losses_dict_sorted[alg].mean()}\")\n", + " else:\n", + " break\n", + " \n", + " ax.plot(ts.index, losses_dict_sorted['AA'])\n", + " print(f\"AA mean loss: {losses_dict_sorted['AA'].mean()}\")\n", + " real_legend.append('AA')\n", + " ax.plot(ts.index, theoretical_bound)\n", + " real_legend.append('TB')\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(real_legend, loc='upper right');\n", + " return losses_dict_sorted" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "c8c3f323", + "metadata": {}, + "outputs": [], + "source": [ + "def get_all_predictions(train_dict, test_dict, horizon, base_alg_list, grid_params,\n", + " omega_mode=\"basic\", best_m=\"optim\", is_exog=False, bins=10):\n", + " pred_dict = {}\n", + " losses_dict = {}\n", + " \n", + " for ts_name in tqdm(train_dict.keys()):\n", + " if is_exog:\n", + " ts_train = train_dict[ts_name][\"ts\"]\n", + " ts_test = test_dict[ts_name][\"ts\"]\n", + " exog_train = (pd.DataFrame(data=[train_dict[ts_name][\"actual_price\"],\n", + " train_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " exog_test = (pd.DataFrame(data=[test_dict[ts_name][\"actual_price\"],\n", + " test_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " else:\n", + " ts_train = train_dict[ts_name]\n", + " ts_test = tesr_dict[ts_name]\n", + " exog_train = None\n", + " exog_test = None\n", + " \n", + " auto_base_alg_list = get_auto_base_alg_list(ts_train, exog_train, grid_params)\n", + " all_base_alg_list = base_alg_list + auto_base_alg_list\n", + " \n", + " if best_m == \"optim\":\n", + " best_m, _, _, _ = get_optim_m(ts_train, all_base_alg_list, exog=exog_train,\n", + " bins=bins, omega_mode=omega_mode)\n", + " \n", + " omega = get_omega(ts_test, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict[ts_name] = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in all_base_alg_list:\n", + " pred_dict[ts_name][f\"alg{i}\"] = get_density_forecast(ts_test, horizon, base_alg, base_params, fit_params,\n", + " exog=exog_test, bins=bins,\n", + " omega=omega, fittedvalues=True)\n", + " i += 1\n", + "\n", + " pred_dict[ts_name][\"AA\"] = aggregating_algorithm(ts_test, horizon, all_base_alg_list, exog=exog_test,\n", + " bins=bins, omega_mode=omega_mode, m=best_m)\n", + "\n", + " losses_dict[ts_name] = {key : [] for key in pred_dict[ts_name].keys()}\n", + "\n", + " for i in range(len(ts_test.values)):\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg].append(brier_loss(ts_test.values[i], pred_dict[ts_name][alg][i]))\n", + "\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg] = np.cumsum(losses_dict[ts_name][alg]) / list(range(1, len(ts_test.values) + 1))\n", + " \n", + " return pred_dict, losses_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 297, + "id": "8abf2a9d", + "metadata": {}, + "outputs": [], + "source": [ + "def get_all_predictions_AS(train_dict, test_dict, horizon, base_alg_list, grid_params,\n", + " omega_mode=\"basic\", best_alpha=\"optim\", is_exog=False, bins=10):\n", + " pred_dict = {}\n", + " losses_dict = {}\n", + " \n", + " for ts_name in tqdm(train_dict.keys()):\n", + " if is_exog:\n", + " ts_train = train_dict[ts_name][\"ts\"]\n", + " ts_test = test_dict[ts_name][\"ts\"]\n", + " exog_train = (pd.DataFrame(data=[train_dict[ts_name][\"actual_price\"],\n", + " train_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " exog_test = (pd.DataFrame(data=[test_dict[ts_name][\"actual_price\"],\n", + " test_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " else:\n", + " ts_train = train_dict[ts_name]\n", + " ts_test = tesr_dict[ts_name]\n", + " exog_train = None\n", + " exog_test = None\n", + " \n", + " auto_base_alg_list = get_auto_base_alg_list(ts_train, exog_train, grid_params)\n", + " all_base_alg_list = base_alg_list + auto_base_alg_list\n", + " \n", + " if best_alpha == \"optim\":\n", + " best_alpha, _, _, _ = get_optim_alpha(ts_train, adaptive_selection, all_base_alg_list,\n", + " exog=exog_train, bins=bins, omega_mode=omega_mode)\n", + " \n", + " omega = get_omega(ts_test, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict[ts_name] = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in all_base_alg_list:\n", + " pred_dict[ts_name][f\"alg{i}\"] = get_density_forecast(ts_test, horizon, base_alg, base_params, fit_params,\n", + " exog=exog_test, bins=bins,\n", + " omega=omega, fittedvalues=True)\n", + " i += 1\n", + "\n", + " pred_dict[ts_name][\"AS\"] = adaptive_selection(ts_test, horizon, all_base_alg_list, exog=exog_test,\n", + " bins=bins, omega_mode=omega_mode, alpha=best_alpha)\n", + "\n", + " losses_dict[ts_name] = {key : [] for key in pred_dict[ts_name].keys()}\n", + "\n", + " for i in range(len(ts_test.values)):\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg].append(brier_loss(ts_test.values[i], pred_dict[ts_name][alg][i]))\n", + "\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg] = np.cumsum(losses_dict[ts_name][alg]) / list(range(1, len(ts_test.values) + 1))\n", + " \n", + " return pred_dict, losses_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 298, + "id": "bfa21d88", + "metadata": {}, + "outputs": [], + "source": [ + "def get_all_predictions_AC(train_dict, test_dict, horizon, base_alg_list, grid_params,\n", + " omega_mode=\"basic\", best_alpha=\"optim\", is_exog=False, bins=10):\n", + " pred_dict = {}\n", + " losses_dict = {}\n", + " \n", + " for ts_name in tqdm(train_dict.keys()):\n", + " if is_exog:\n", + " ts_train = train_dict[ts_name][\"ts\"]\n", + " ts_test = test_dict[ts_name][\"ts\"]\n", + " exog_train = (pd.DataFrame(data=[train_dict[ts_name][\"actual_price\"],\n", + " train_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " exog_test = (pd.DataFrame(data=[test_dict[ts_name][\"actual_price\"],\n", + " test_dict[ts_name][\"promo\"]])\n", + " .transpose().astype({\"Actual_Price\": float, \"Promo\": int}))\n", + " else:\n", + " ts_train = train_dict[ts_name]\n", + " ts_test = tesr_dict[ts_name]\n", + " exog_train = None\n", + " exog_test = None\n", + " \n", + " auto_base_alg_list = get_auto_base_alg_list(ts_train, exog_train, grid_params)\n", + " all_base_alg_list = base_alg_list + auto_base_alg_list\n", + " \n", + " if best_alpha == \"optim\":\n", + " best_alpha, _, _, _ = get_optim_alpha(ts_train, adaptive_combination, all_base_alg_list,\n", + " exog=exog_train, bins=bins, omega_mode=omega_mode)\n", + " \n", + " omega = get_omega(ts_test, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict[ts_name] = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in all_base_alg_list:\n", + " pred_dict[ts_name][f\"alg{i}\"] = get_density_forecast(ts_test, horizon, base_alg, base_params, fit_params,\n", + " exog=exog_test, bins=bins,\n", + " omega=omega, fittedvalues=True)\n", + " i += 1\n", + "\n", + " pred_dict[ts_name][\"AC\"] = adaptive_combination(ts_test, horizon, all_base_alg_list, exog=exog_test,\n", + " bins=bins, omega_mode=omega_mode, alpha=best_alpha)\n", + "\n", + " losses_dict[ts_name] = {key : [] for key in pred_dict[ts_name].keys()}\n", + "\n", + " for i in range(len(ts_test.values)):\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg].append(brier_loss(ts_test.values[i], pred_dict[ts_name][alg][i]))\n", + "\n", + " for alg in losses_dict[ts_name].keys():\n", + " losses_dict[ts_name][alg] = np.cumsum(losses_dict[ts_name][alg]) / list(range(1, len(ts_test.values) + 1))\n", + " \n", + " return pred_dict, losses_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 303, + "id": "27f60e77", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_total_losses(losses_dict, ax, title, legend, number_to_plot=None):\n", + " agg_alg_name = list(losses_dict[next(iter(losses_dict))].keys())[-1]\n", + " total_losses = {alg: np.zeros_like(losses) for alg, losses in losses_dict[next(iter(losses_dict))].items()}\n", + " \n", + " for ts_losses in losses_dict.values():\n", + " for alg, losses in ts_losses.items():\n", + " total_losses[alg] += losses\n", + " \n", + " for alg, losses in total_losses.items():\n", + " total_losses[alg] = losses / len(losses_dict)\n", + " \n", + " total_losses_sorted = {k: v for k, v in sorted(total_losses.items(), key=lambda item: item[1].mean())}\n", + " \n", + " if not number_to_plot:\n", + " number_to_plot = len(legend) - 2\n", + " \n", + " real_legend = []\n", + " i = 0\n", + " for alg in total_losses_sorted.keys():\n", + " if i < number_to_plot:\n", + " if alg in agg_alg_name:\n", + " continue\n", + " ax.plot(total_losses_sorted[alg])\n", + " i += 1\n", + " real_legend.append(legend[int(alg[-1]) - 1])\n", + " print(f\"{legend[int(alg[-1]) - 1]} mean loss: {total_losses_sorted[alg].mean()}\")\n", + " else:\n", + " break\n", + " \n", + " ax.plot(total_losses_sorted[agg_alg_name])\n", + " print(f\"{agg_alg_name} mean loss: {total_losses_sorted[agg_alg_name].mean()}\")\n", + " real_legend.append(agg_alg_name)\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(real_legend, loc='lower right');" + ] + }, + { + "cell_type": "code", + "execution_count": 305, + "id": "1a2d6e44", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_total_losses_all(losses_dict, ax, title, legend, number_to_plot=None):\n", + " total_losses = {alg: np.zeros_like(losses) for alg, losses in losses_dict[next(iter(losses_dict))].items()}\n", + " \n", + " for ts_losses in losses_dict.values():\n", + " for alg, losses in ts_losses.items():\n", + " total_losses[alg] += losses\n", + " \n", + " for alg, losses in total_losses.items():\n", + " total_losses[alg] = losses / len(losses_dict)\n", + " \n", + " total_losses_sorted = {k: v for k, v in sorted(total_losses.items(), key=lambda item: item[1].mean())}\n", + " \n", + " if not number_to_plot:\n", + " number_to_plot = len(legend) - 2\n", + " \n", + " real_legend = []\n", + " i = 0\n", + " for alg in total_losses_sorted.keys():\n", + " if i < number_to_plot:\n", + " if alg in [\"AS\", \"AC\", \"AA\"]:\n", + " continue\n", + " ax.plot(total_losses_sorted[alg])\n", + " i += 1\n", + " real_legend.append(legend[int(alg[-1]) - 1])\n", + " print(f\"{legend[int(alg[-1]) - 1]} mean loss: {total_losses_sorted[alg].mean()}\")\n", + " else:\n", + " break\n", + " \n", + " for a_alg in [\"AS\", \"AC\", \"AA\"]:\n", + " ax.plot(total_losses_sorted[a_alg])\n", + " print(f\"{a_alg} mean loss: {total_losses_sorted[a_alg].mean()}\")\n", + " real_legend.append(a_alg)\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(real_legend, loc='lower right');" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "ab489d75", + "metadata": {}, + "outputs": [], + "source": [ + "def get_ew_loss(data, alpha):\n", + " alpha_rev = 1 - alpha\n", + " n = data.shape[0]\n", + "\n", + " pows = alpha_rev**(np.arange(n+1))\n", + "\n", + " scale_arr = 1/pows[:-1]\n", + " offset = data[0]*pows[1:]\n", + " pw0 = alpha*alpha_rev**(n-1)\n", + "\n", + " mult = data*pw0*scale_arr\n", + " cumsums = mult.cumsum()\n", + " out = offset + cumsums*scale_arr[::-1]\n", + " return out" + ] + }, + { + "cell_type": "code", + "execution_count": 218, + "id": "6142bd2a", + "metadata": {}, + "outputs": [], + "source": [ + "def adaptive_selection(ts, horizon, base_alg_list, alpha=0.5, bins=10, omega_mode=\"basic\",\n", + " loss_function=brier_loss, p=2, exog=None):\n", + " T = len(ts)\n", + " K = len(base_alg_list)\n", + " \n", + " AS_preds = [{} for i in range(T + horizon)]\n", + " BA_preds = np.array([{} for i in range((T + horizon) * K)]).reshape(K, T + horizon) \n", + " BA_losses = np.zeros_like(BA_preds)\n", + " BA_ew_losses = np.zeros_like(BA_losses)\n", + " \n", + " omega = get_omega(ts, mode=omega_mode, bins=bins) # здесь в Omega прогнозы не учитываются\n", + " \n", + " i = 0\n", + " for base_alg, base_alg_params, fit_alg_params in base_alg_list:\n", + " BA_preds[i] = get_density_forecast(ts, horizon, base_alg, base_params=base_alg_params,\n", + " fit_params=fit_alg_params, omega=omega, exog=exog, fittedvalues=True)\n", + " BA_losses[i] = [brier_loss(ts.values[t], BA_preds[i][t]) for t in range(T)]\n", + " BA_ew_losses[i] = get_ew_loss(BA_losses[i, :], alpha)\n", + " i += 1\n", + " \n", + " best_alg = np.argmin(BA_ew_losses[:, 0])\n", + " AS_preds[0]['bins'] = BA_preds[best_alg, 0]['bins']\n", + " AS_preds[0]['probs'] = BA_preds[best_alg, 0]['probs']\n", + " \n", + " for t in tqdm(range(1, T + horizon), leave=False):\n", + " best_alg = np.argmin(BA_ew_losses[:, t - 1])\n", + " AS_preds[t]['bins'] = BA_preds[best_alg, t]['bins']\n", + " AS_preds[t]['probs'] = BA_preds[best_alg, t]['probs']\n", + " \n", + " \n", + " return AS_preds" + ] + }, + { + "cell_type": "code", + "execution_count": 260, + "id": "141cd495", + "metadata": {}, + "outputs": [], + "source": [ + "def adaptive_combination(ts, horizon, base_alg_list, alpha=0.5, bins=10, omega_mode=\"basic\",\n", + " loss_function=brier_loss, p=2, weights=None, exog=None):\n", + " T = len(ts)\n", + " K = len(base_alg_list)\n", + " \n", + " if not weights:\n", + " weights = np.full(K, 1/K)\n", + " \n", + " AC_preds = [{} for i in range(T + horizon)]\n", + " BA_preds = np.array([{} for i in range((T + horizon) * K)]).reshape(K, T + horizon) \n", + " BA_losses = np.zeros_like(BA_preds)\n", + " BA_ew_losses = np.zeros_like(BA_losses)\n", + " \n", + " omega = get_omega(ts, mode=omega_mode, bins=bins) # здесь в Omega прогнозы не учитываются\n", + " \n", + " i = 0\n", + " for base_alg, base_alg_params, fit_alg_params in base_alg_list:\n", + " BA_preds[i] = get_density_forecast(ts, horizon, base_alg, base_params=base_alg_params,\n", + " fit_params=fit_alg_params, omega=omega, exog=exog, fittedvalues=True)\n", + " BA_losses[i] = [brier_loss(ts.values[t], BA_preds[i][t]) for t in range(T)]\n", + " BA_ew_losses[i] = get_ew_loss(BA_losses[i, :], alpha)\n", + " i += 1\n", + " \n", + " for t in tqdm(range(0, T + horizon), leave=False):\n", + " AC_preds[t]['bins'] = BA_preds[0, t]['bins']\n", + " AC_preds[t]['probs'] = np.array([BA_preds[:, t][k]['probs'] * weights[k] for k in range(K)]).sum(axis=0)\n", + " \n", + " # update weights\n", + " weights = BA_ew_losses[:, t]**(-1) / np.sum(BA_ew_losses[:, t]**(-1))\n", + " \n", + " return AC_preds" + ] + }, + { + "cell_type": "code", + "execution_count": 224, + "id": "29f86bc1", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_AS_losses(ts, horizon, base_alg_list, omega_mode, best_alpha, ax, bins=10, exog=None,\n", + " title='', legend=[], number_to_plot=None):\n", + " omega = get_omega(ts, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in base_alg_list:\n", + " pred_dict[f\"alg{i}\"] = get_density_forecast(ts, horizon, base_alg, base_params, fit_params,\n", + " bins=bins, omega=omega, exog=exog, fittedvalues=True)\n", + " i += 1\n", + " \n", + " pred_dict[\"AS\"] = adaptive_selection(ts, horizon, base_alg_list, exog=exog,\n", + " bins=bins, omega_mode=omega_mode, alpha=best_alpha)\n", + "\n", + " losses_dict = {key : [] for key in pred_dict.keys()}\n", + " \n", + " for i in range(len(ts.values)):\n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg].append(brier_loss(ts.values[i], pred_dict[alg][i]))\n", + " \n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg] = np.cumsum(losses_dict[alg]) / list(range(1, len(ts.values) + 1))\n", + " \n", + " losses_dict_sorted = {k: v for k, v in sorted(losses_dict.items(), key=lambda item: np.array(item[1]).mean())}\n", + " \n", + " if not number_to_plot:\n", + " number_to_plot = len(base_alg_list)\n", + " \n", + " real_legend = []\n", + " i = 0\n", + " for alg in losses_dict_sorted.keys():\n", + " if i < number_to_plot:\n", + " if alg == \"AS\":\n", + " continue\n", + " ax.plot(ts.index, losses_dict_sorted[alg])\n", + " i += 1\n", + " real_legend.append(legend[int(alg[-1]) - 1])\n", + " print(f\"{legend[int(alg[-1]) - 1]} mean loss: {np.array(losses_dict_sorted[alg]).mean()}\")\n", + " else:\n", + " break\n", + " \n", + " ax.plot(ts.index, losses_dict_sorted['AS'])\n", + " print(f\"AS mean loss: {np.array(losses_dict_sorted['AS']).mean()}\")\n", + " real_legend.append('AS')\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(real_legend, loc='upper right');\n", + " return losses_dict_sorted" + ] + }, + { + "cell_type": "code", + "execution_count": 264, + "id": "3c54095a", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_AC_losses(ts, horizon, base_alg_list, omega_mode, best_alpha, ax, bins=10, exog=None,\n", + " title='', legend=[], number_to_plot=None):\n", + " omega = get_omega(ts, mode=omega_mode, bins=bins)\n", + " \n", + " pred_dict = {}\n", + " i = 1\n", + " for base_alg, base_params, fit_params in base_alg_list:\n", + " pred_dict[f\"alg{i}\"] = get_density_forecast(ts, horizon, base_alg, base_params, fit_params,\n", + " bins=bins, omega=omega, exog=exog, fittedvalues=True)\n", + " i += 1\n", + " \n", + " pred_dict[\"AC\"] = adaptive_combination(ts, horizon, base_alg_list, exog=exog,\n", + " bins=bins, omega_mode=omega_mode, alpha=best_alpha)\n", + "\n", + " losses_dict = {key : [] for key in pred_dict.keys()}\n", + " \n", + " for i in range(len(ts.values)):\n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg].append(brier_loss(ts.values[i], pred_dict[alg][i]))\n", + " \n", + " for alg in losses_dict.keys():\n", + " losses_dict[alg] = np.cumsum(losses_dict[alg]) / list(range(1, len(ts.values) + 1))\n", + " \n", + " losses_dict_sorted = {k: v for k, v in sorted(losses_dict.items(), key=lambda item: np.array(item[1]).mean())}\n", + " \n", + " if not number_to_plot:\n", + " number_to_plot = len(base_alg_list)\n", + " \n", + " real_legend = []\n", + " i = 0\n", + " for alg in losses_dict_sorted.keys():\n", + " if i < number_to_plot:\n", + " if alg == \"AC\":\n", + " continue\n", + " ax.plot(ts.index, losses_dict_sorted[alg])\n", + " i += 1\n", + " real_legend.append(legend[int(alg[-1]) - 1])\n", + " print(f\"{legend[int(alg[-1]) - 1]} mean loss: {np.array(losses_dict_sorted[alg]).mean()}\")\n", + " else:\n", + " break\n", + " \n", + " ax.plot(ts.index, losses_dict_sorted['AC'])\n", + " print(f\"AC mean loss: {np.array(losses_dict_sorted['AC']).mean()}\")\n", + " real_legend.append('AC')\n", + " \n", + " ax.set_title(title)\n", + " ax.legend(real_legend, loc='upper right');\n", + " return losses_dict_sorted" + ] + } + ], + "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": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/data/losses_dict_AA.pickle b/data/losses_dict_AA.pickle new file mode 100644 index 0000000..2365024 Binary files /dev/null and b/data/losses_dict_AA.pickle differ diff --git a/data/losses_dict_AC.pickle b/data/losses_dict_AC.pickle new file mode 100644 index 0000000..0598149 Binary files /dev/null and b/data/losses_dict_AC.pickle differ diff --git a/data/losses_dict_AS.pickle b/data/losses_dict_AS.pickle new file mode 100644 index 0000000..0a75217 Binary files /dev/null and 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