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ec34427ca8
* update flaml_forecast.ipynb * visualize predictions for comparison Signed-off-by: Kevin Chen <chenkevin.8787@gmail.com>
1287 lines
195 KiB
Plaintext
1287 lines
195 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"source": [
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"# Time Series Forecasting with FLAML Library"
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],
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"metadata": {}
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},
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{
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"cell_type": "markdown",
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"source": [
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"## 1. Introduction\r\n",
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"\r\n",
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"FLAML is a Python library (https://github.com/microsoft/FLAML) designed to automatically produce accurate machine learning models with low computational cost. It is fast and cheap. The simple and lightweight design makes it easy to use and extend, such as adding new learners. FLAML can\r\n",
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"\r\n",
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" - serve as an economical AutoML engine,\r\n",
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" - be used as a fast hyperparameter tuning tool, or\r\n",
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" - be embedded in self-tuning software that requires low latency & resource in repetitive tuning tasks.\r\n",
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" - In this notebook, we demonstrate how to use FLAML library to tune hyperparameters of XGBoost with a regression example.\r\n",
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"\r\n",
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"FLAML requires Python>=3.6. To run this notebook example, please install flaml with the notebook option:\r\n",
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"\r\n",
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"> pip install flaml[notebook]"
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],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"source": [
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"!pip install flaml[notebook,forecast]"
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],
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"outputs": [],
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"metadata": {}
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},
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{
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"cell_type": "markdown",
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"source": [
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"## 2. Forecast Problem\r\n",
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"\r\n",
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"### Load data and preprocess\r\n",
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"\r\n",
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"Import co2 data from statsmodel. The dataset is from “Atmospheric CO2 from Continuous Air Samples at Mauna Loa Observatory, Hawaii, U.S.A.,” which collected CO2 samples from March 1958 to December 2001. The task is to predict monthly CO2 samples."
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],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 64,
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"source": [
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"import statsmodels.api as sm\r\n",
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"data = sm.datasets.co2.load_pandas()\r\n",
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"data = data.data\r\n",
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"# data is given in weeks, but the task is to predict monthly, so use monthly averages instead\r\n",
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"data = data['co2'].resample('MS').mean()\r\n",
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"data = data.fillna(data.bfill()) # makes sure there are no missing values\r\n",
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"data = data.to_frame().reset_index()\r\n",
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"# data = data.rename(columns={'index': 'ds', 'co2': 'y'})"
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],
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"outputs": [],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 65,
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"source": [
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"# split the data into a train dataframe and X_test and y_test dataframes, where the number of samples for test is equal to\r\n",
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"# the number of periods the user wants to predict\r\n",
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"num_samples = data.shape[0]\r\n",
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"time_horizon = 12\r\n",
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"split_idx = num_samples - time_horizon\r\n",
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"X_train = data[:split_idx] # X_train is a dataframe with two columns: time and value\r\n",
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"X_test = data[split_idx:]['index'] # X_test is a dataframe with dates for prediction\r\n",
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"y_test = data[split_idx:]['co2'] # y_test is a series of the values corresponding to the dates for prediction"
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],
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"outputs": [],
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"metadata": {}
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},
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{
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"cell_type": "markdown",
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"source": [
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"### Run FLAML\r\n",
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"\r\n",
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"In the FLAML automl run configuration, users can specify the task type, time budget, error metric, learner list, whether to subsample, resampling strategy type, and so on. All these arguments have default values which will be used if users do not provide them."
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],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 66,
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"source": [
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"''' import AutoML class from flaml package '''\r\n",
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"from flaml import AutoML\r\n",
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"automl = AutoML()"
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],
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"outputs": [],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 67,
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"source": [
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"settings = {\r\n",
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" \"time_budget\": 180, # total running time in seconds\r\n",
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" \"metric\": 'mape', # primary metric for validation: 'mape' is generally used for forecast tasks\r\n",
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" \"task\": 'forecast', # task type\r\n",
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" \"log_file_name\": 'CO2_forecast.log', # flaml log file\r\n",
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" \"eval_method\": \"holdout\", # validation method can be chosen from ['auto', 'holdout', 'cv']\r\n",
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" \"split_type\": 'time' # for foretask task, 'split_type' has to be 'time'\r\n",
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"}"
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],
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"outputs": [],
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 69,
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"source": [
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"'''The main flaml automl API'''\r\n",
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"automl.fit(dataframe=X_train, # training data\r\n",
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" label=('index', 'co2'), # For 'forecast' task, label should be a tuple of strings for timestamp and value columns\r\n",
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" **settings, \r\n",
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" period=time_horizon) # key word argument 'period' must be included for forecast task)"
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],
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"outputs": [
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{
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"output_type": "stream",
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"name": "stderr",
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"text": [
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"[flaml.automl: 08-31 21:19:53] {1209} INFO - Evaluation method: holdout\n",
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"INFO:flaml.automl:Evaluation method: holdout\n",
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"[flaml.automl: 08-31 21:19:53] {686} INFO - Using TimeSeriesSplit\n",
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"INFO:flaml.automl:Using TimeSeriesSplit\n",
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"[flaml.automl: 08-31 21:19:53] {1237} INFO - Minimizing error metric: mape\n",
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"INFO:flaml.automl:Minimizing error metric: mape\n",
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"[flaml.automl: 08-31 21:19:53] {1259} INFO - List of ML learners in AutoML Run: ['fbprophet', 'arima', 'sarimax']\n",
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"INFO:flaml.automl:List of ML learners in AutoML Run: ['fbprophet', 'arima', 'sarimax']\n",
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"[flaml.automl: 08-31 21:19:53] {1349} INFO - iteration 0, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 0, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:19:57] {1502} INFO - at 3.2s,\tbest fbprophet's error=0.0007,\tbest fbprophet's error=0.0007\n",
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"INFO:flaml.automl: at 3.2s,\tbest fbprophet's error=0.0007,\tbest fbprophet's error=0.0007\n",
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"[flaml.automl: 08-31 21:19:57] {1349} INFO - iteration 1, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 1, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:19:59] {1502} INFO - at 6.0s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 6.0s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"[flaml.automl: 08-31 21:19:59] {1349} INFO - iteration 2, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 2, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:20:02] {1502} INFO - at 8.5s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 8.5s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"[flaml.automl: 08-31 21:20:02] {1349} INFO - iteration 3, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 3, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:20:05] {1502} INFO - at 11.8s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 11.8s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"[flaml.automl: 08-31 21:20:05] {1349} INFO - iteration 4, current learner arima\n",
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"INFO:flaml.automl:iteration 4, current learner arima\n",
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"[flaml.automl: 08-31 21:20:06] {1502} INFO - at 12.4s,\tbest arima's error=0.0120,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 12.4s,\tbest arima's error=0.0120,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 13.7s,\tbest arima's error=0.0046,\tbest fbprophet's error=0.0006\n",
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"[flaml.automl: 08-31 21:20:07] {1349} INFO - iteration 6, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 6, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:20:09] {1502} INFO - at 15.8s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"INFO:flaml.automl: at 15.8s,\tbest fbprophet's error=0.0006,\tbest fbprophet's error=0.0006\n",
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"[flaml.automl: 08-31 21:20:09] {1349} INFO - iteration 7, current learner fbprophet\n",
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"INFO:flaml.automl:iteration 7, current learner fbprophet\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:20:12] {1502} INFO - at 18.7s,\tbest fbprophet's error=0.0005,\tbest fbprophet's error=0.0005\n",
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"INFO:flaml.automl: at 18.7s,\tbest fbprophet's error=0.0005,\tbest fbprophet's error=0.0005\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:22:50] {1534} INFO - retrain sarimax for 2.2s\n",
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"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
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"[flaml.automl: 08-31 21:22:55] {1534} INFO - retrain sarimax for 2.5s\n",
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"INFO:flaml.automl:retrain sarimax for 2.5s\n",
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"[flaml.automl: 08-31 21:22:55] {1558} INFO - selected model: <prophet.forecaster.Prophet object at 0x000002C8485D46D0>\n",
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"INFO:flaml.automl:selected model: <prophet.forecaster.Prophet object at 0x000002C8485D46D0>\n",
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"[flaml.automl: 08-31 21:22:55] {1281} INFO - fit succeeded\n",
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"INFO:flaml.automl:fit succeeded\n",
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"[flaml.automl: 08-31 21:22:55] {1282} INFO - Time taken to find the best model: 71.81526470184326\n",
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"INFO:flaml.automl:Time taken to find the best model: 71.81526470184326\n"
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]
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}
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],
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"metadata": {}
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},
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{
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"cell_type": "markdown",
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"source": [
|
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"### Best model and metric"
|
|
],
|
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"metadata": {}
|
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},
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{
|
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"cell_type": "code",
|
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"execution_count": 70,
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"source": [
|
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"''' retrieve best config and best learner'''\r\n",
|
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"print('Best ML leaner:', automl.best_estimator)\r\n",
|
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"print('Best hyperparmeter config:', automl.best_config)\r\n",
|
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"print(f'Best mape on validation data: {automl.best_loss}')\r\n",
|
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"print(f'Training duration of best run: {automl.best_config_train_time}s')"
|
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],
|
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"outputs": [
|
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{
|
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"output_type": "stream",
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"name": "stdout",
|
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"text": [
|
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"Best ML leaner: fbprophet\n",
|
|
"Best hyperparmeter config: {'changepoint_prior_scale': 0.02876449933617924, 'seasonality_prior_scale': 1.80360430903146, 'holidays_prior_scale': 2.1243991057068654, 'seasonality_mode': 'additive'}\n",
|
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"Best mape on validation data: 0.0004765336783587436\n",
|
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"Training duration of best run: 2.890876531600952s\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
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"execution_count": 71,
|
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"source": [
|
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"print(automl.model.estimator)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"<prophet.forecaster.Prophet object at 0x000002C8485D46D0>\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 72,
|
|
"source": [
|
|
"''' pickle and save the automl object '''\r\n",
|
|
"import pickle\r\n",
|
|
"with open('automl.pkl', 'wb') as f:\r\n",
|
|
" pickle.dump(automl, f, pickle.HIGHEST_PROTOCOL)"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 75,
|
|
"source": [
|
|
"''' compute predictions of testing dataset '''\r\n",
|
|
"flaml_y_pred = automl.predict(X_test)\r\n",
|
|
"print('Predicted labels', flaml_y_pred)\r\n",
|
|
"print('True labels', y_test)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Predicted labels 0 370.179589\n",
|
|
"1 370.897300\n",
|
|
"2 371.950006\n",
|
|
"3 373.135219\n",
|
|
"4 373.634979\n",
|
|
"5 373.104820\n",
|
|
"6 371.760649\n",
|
|
"7 369.848551\n",
|
|
"8 368.250457\n",
|
|
"9 368.318975\n",
|
|
"10 369.517605\n",
|
|
"11 370.783469\n",
|
|
"Name: yhat, dtype: float64\n",
|
|
"True labels 514 370.175\n",
|
|
"515 371.325\n",
|
|
"516 372.060\n",
|
|
"517 372.775\n",
|
|
"518 373.800\n",
|
|
"519 373.060\n",
|
|
"520 371.300\n",
|
|
"521 369.425\n",
|
|
"522 367.880\n",
|
|
"523 368.050\n",
|
|
"524 369.375\n",
|
|
"525 371.020\n",
|
|
"Name: co2, dtype: float64\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 76,
|
|
"source": [
|
|
"''' compute different metric values on testing dataset'''\r\n",
|
|
"from flaml.ml import sklearn_metric_loss_score\r\n",
|
|
"print('mape', '=', sklearn_metric_loss_score('mape', flaml_y_pred, y_test))"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"mape = 0.0006780276756290267\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"### Log history"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 77,
|
|
"source": [
|
|
"from flaml.data import get_output_from_log\r\n",
|
|
"time_history, best_valid_loss_history, valid_loss_history, config_history, train_loss_history = \\\r\n",
|
|
" get_output_from_log(filename=settings['log_file_name'], time_budget=180)\r\n",
|
|
"\r\n",
|
|
"for config in config_history:\r\n",
|
|
" print(config)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"{'Current Learner': 'fbprophet', 'Current Sample': 502, 'Current Hyper-parameters': {'changepoint_prior_scale': 0.010000000000000002, 'seasonality_prior_scale': 1.0, 'holidays_prior_scale': 1.0, 'seasonality_mode': 'multiplicative'}, 'Best Learner': 'fbprophet', 'Best Hyper-parameters': {'changepoint_prior_scale': 0.010000000000000002, 'seasonality_prior_scale': 1.0, 'holidays_prior_scale': 1.0, 'seasonality_mode': 'multiplicative'}}\n",
|
|
"{'Current Learner': 'fbprophet', 'Current Sample': 502, 'Current Hyper-parameters': {'changepoint_prior_scale': 0.0091602623296037, 'seasonality_prior_scale': 0.8823866403788657, 'holidays_prior_scale': 3.2294014074557995, 'seasonality_mode': 'additive'}, 'Best Learner': 'fbprophet', 'Best Hyper-parameters': {'changepoint_prior_scale': 0.0091602623296037, 'seasonality_prior_scale': 0.8823866403788657, 'holidays_prior_scale': 3.2294014074557995, 'seasonality_mode': 'additive'}}\n",
|
|
"{'Current Learner': 'fbprophet', 'Current Sample': 502, 'Current Hyper-parameters': {'changepoint_prior_scale': 0.010000000000000002, 'seasonality_prior_scale': 1.0, 'holidays_prior_scale': 0.999999999999999, 'seasonality_mode': 'additive'}, 'Best Learner': 'fbprophet', 'Best Hyper-parameters': {'changepoint_prior_scale': 0.010000000000000002, 'seasonality_prior_scale': 1.0, 'holidays_prior_scale': 0.999999999999999, 'seasonality_mode': 'additive'}}\n",
|
|
"{'Current Learner': 'fbprophet', 'Current Sample': 502, 'Current Hyper-parameters': {'changepoint_prior_scale': 0.05247335998097256, 'seasonality_prior_scale': 0.987707602743762, 'holidays_prior_scale': 0.5484274380225445, 'seasonality_mode': 'additive'}, 'Best Learner': 'fbprophet', 'Best Hyper-parameters': {'changepoint_prior_scale': 0.05247335998097256, 'seasonality_prior_scale': 0.987707602743762, 'holidays_prior_scale': 0.5484274380225445, 'seasonality_mode': 'additive'}}\n",
|
|
"{'Current Learner': 'fbprophet', 'Current Sample': 502, 'Current Hyper-parameters': {'changepoint_prior_scale': 0.02876449933617924, 'seasonality_prior_scale': 1.80360430903146, 'holidays_prior_scale': 2.1243991057068654, 'seasonality_mode': 'additive'}, 'Best Learner': 'fbprophet', 'Best Hyper-parameters': {'changepoint_prior_scale': 0.02876449933617924, 'seasonality_prior_scale': 1.80360430903146, 'holidays_prior_scale': 2.1243991057068654, 'seasonality_mode': 'additive'}}\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 78,
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\r\n",
|
|
"import numpy as np\r\n",
|
|
"\r\n",
|
|
"plt.title('Learning Curve')\r\n",
|
|
"plt.xlabel('Wall Clock Time (s)')\r\n",
|
|
"plt.ylabel('Validation Accuracy')\r\n",
|
|
"plt.scatter(time_history, 1 - np.array(valid_loss_history))\r\n",
|
|
"plt.step(time_history, 1 - np.array(best_valid_loss_history), where='post')\r\n",
|
|
"plt.show()"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": [
|
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"<Figure size 432x288 with 1 Axes>"
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],
|
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xlink:href=\"#DejaVuSans-6b\"/>\r\n <use x=\"512.814453\" xlink:href=\"#DejaVuSans-20\"/>\r\n <use x=\"544.601562\" xlink:href=\"#DejaVuSans-54\"/>\r\n <use x=\"602.560547\" xlink:href=\"#DejaVuSans-69\"/>\r\n <use x=\"630.34375\" xlink:href=\"#DejaVuSans-6d\"/>\r\n <use x=\"727.755859\" xlink:href=\"#DejaVuSans-65\"/>\r\n <use x=\"789.279297\" xlink:href=\"#DejaVuSans-20\"/>\r\n <use x=\"821.066406\" xlink:href=\"#DejaVuSans-28\"/>\r\n <use x=\"860.080078\" xlink:href=\"#DejaVuSans-73\"/>\r\n <use x=\"912.179688\" xlink:href=\"#DejaVuSans-29\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"matplotlib.axis_2\">\r\n <g id=\"ytick_1\">\r\n <g id=\"line2d_9\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m0026d7c876\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"69.23125\" xlink:href=\"#m0026d7c876\" y=\"239.4818\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_10\">\r\n <!-- 0.99925 -->\r\n <g transform=\"translate(20.878125 243.281019)scale(0.1 -0.1)\">\r\n <defs>\r\n <path d=\"M 684 794 \r\nL 1344 794 \r\nL 1344 0 \r\nL 684 0 \r\nL 684 794 \r\nz\r\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\r\n <path d=\"M 703 97 \r\nL 703 672 \r\nQ 941 559 1184 500 \r\nQ 1428 441 1663 441 \r\nQ 2288 441 2617 861 \r\nQ 2947 1281 2994 2138 \r\nQ 2813 1869 2534 1725 \r\nQ 2256 1581 1919 1581 \r\nQ 1219 1581 811 2004 \r\nQ 403 2428 403 3163 \r\nQ 403 3881 828 4315 \r\nQ 1253 4750 1959 4750 \r\nQ 2769 4750 3195 4129 \r\nQ 3622 3509 3622 2328 \r\nQ 3622 1225 3098 567 \r\nQ 2575 -91 1691 -91 \r\nQ 1453 -91 1209 -44 \r\nQ 966 3 703 97 \r\nz\r\nM 1959 2075 \r\nQ 2384 2075 2632 2365 \r\nQ 2881 2656 2881 3163 \r\nQ 2881 3666 2632 3958 \r\nQ 2384 4250 1959 4250 \r\nQ 1534 4250 1286 3958 \r\nQ 1038 3666 1038 3163 \r\nQ 1038 2656 1286 2365 \r\nQ 1534 2075 1959 2075 \r\nz\r\n\" id=\"DejaVuSans-39\" transform=\"scale(0.015625)\"/>\r\n </defs>\r\n <use xlink:href=\"#DejaVuSans-30\"/>\r\n <use 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zDqdIy+bY3HYT8DJwfCnRdCKbOteZ5xkzsy1RkXc2Z26OQDqbTZ3rzPOMmdmWqEg32r8BF0bEyrTfE/huRJxVcmwdmuc6M7POpMh6NvtVEg1ARLxJtqaNfQSe68zMOpMi72y2ktQzJRkk7VSwntVQGQRwyb3zWbNuPf08Gs3MOrAiSeO7wP9KupdsFNoXge+UGlUn4bnOzKyzKDJAYLKkBuAwQMCJEfFc6ZGZmVmHUWSAwKeBhRHxg7S/g6SDIuLp0qMzM7MOocgAgRuBd3L776YyMzOzQookG0XE+zMGpAXVPEDAzMwKK5JsXpT0t5K6ps+FwItlB2ZmZh1HkWRzHvAZYBmwFDgIOKfMoMzMrGMpMhrtNeDUyr6kbsAxwD0lxmVmZh1IkZYNkrpIOkrSZOAl4EsF6x0pabGkJc0tSyCpp6SpkuZLmi1pWO7YhZIaJS2UdFGufLikWZIWSHpQUveqaw6Q9I6kr+fKDkznL5F0vSQVid/MzNpGzWQj6RBJk8hmej4bOBzYIyJObu3CkroANwBHAUOBMZKGVp12KTAvIvYDzgCuS3WHkXXVjQSGA8dIGpzq3AJMiIh9ganA+Kprfh94uKrsRmAsMDh9jmwtfjMzazstJhtJS4GrgSeBoRFxErA6IlYVvPZIYElEvBgRa4Cf8OGlCYYCjwFExPPAIEm7AHsDT0XEqohoAmYAJ6Q6Q4CZaftR4KRczKPJBi8szJX1BbpHxKw0qm4yMLrgM5iZWRuo1bK5D+hH1mV2rKSPsXGLpvUDXsntL01lec8CJwJIGgkMBPoDjcAhknpJ2h44Gtgt1WkEjkvbp1TKU3zfAK5sJo6lrcRBusZYSQ2SGlasWFHwMc3MrDUtJpuIuBAYBHwPOBT4JdBH0hclfbzAtZt7L1KdrK4GekqaB1wAzAWaImIRcA1Zy+URsqTUlOqcBYyTNAfYAViTyq8Evh8R+S+gFo0jK4y4KSJGRMSIPn361Ho2MzPbCDVHo6Vup8eBxyV1JXvXMQb4V6B3K9deygetEchaLMurrv8WcCZAemn/UvoQEbcCt6ZjV6XrVbrbDk/lewFfSJc7CDhZ0j8DPYD1kv5I1kLrXysOMzMrV+GZACJiLfAg8GAa/tyaZ4DBknYn+47OqcBp+RMk9QBWpXc6ZwMzUwJC0s4R8ZqkAWRdbaOqyrcCLgMmpfgOzl33CuCd3Hxub6c53p4mG4jwL0Wf28zMPrpNmnYmIppf03jDc5oknQ9MB7oAt0XEQknnpeOTyAYCTJa0DngO+EruEvdJ6gWsBcZV1tMhG9U2Lm1PAW4vEPJXgTuAbmQj1apHq5mZWYlKneMsIh4CHqoqm5TbnkU2FLm5uge3UH4daYh0jfteUbXfAAxr/mwzMytboS91mpmZfRRF1rPZi+yLkwPz50fEYSXGZWZmHUiRbrR7yF7C3wysKzccMzPriIokm6aI8GJpZma2yYq8s3lQ0tck9ZW0U+VTemRmZtZhFGnZ/HX6mZ/wMoA92j4cMzPriIqsZ7P75gjEzMw6riKj0bqSfSnykFT0BPDDNKOAmZlZq4p0o90IdCWbDw3gy6ns7LKCMjOzjqVIsvlURAzP7T8u6dmyAjIzs46nyGi0dZL+tLIjaQ/8fRszM9sIRVo244GfS3qRbG2YgaRlAczMzIooMhrtMUmDyZZjFvB8RLxXemRmZtZhtJhsJB0WEY9LOrHq0J9KIiKmlBybmZl1ELVaNn9Otkrnsc0cC7K1ZMzMzFrVYrKJiH9Im/8YES/lj6XVN83MzAopMhrtvmbK7m3rQMzMrOOq9c7mE8A+wI5V7226A9uVHZiZmXUctd7ZDAGOAXqw4Xubt4FzSozJzMw6mFrvbO4H7pc0KiJmbcaYzMysgynypc65ksaRdam9330WEWeVFpWZmXUoRQYI/Aj4E+AIYAbQn6wrzczMrJAiyWbPiLgceDci/g34ArBvuWGZmVlHUiTZVNatWSlpGLAjMKi0iMzMrMMp8s7mJkk9gcuBB4CPA98qNSozM+tQikzEeUvanAHsUW44ZmbWEdX6UufFtSpGxPfaPhwzM+uIarVsdkg/hwCfIutCg+wLnjPLDMrMzDqWWl/qvBJA0k+BT0bE22n/CuCezRKdmZl1CEVGow0A1uT211BwNJqkIyUtlrRE0oRmjveUNFXSfEmz02i3yrELJTVKWijpolz5cEmzJC2Q9KCk7ql8pKR56fOspBNydZ5IcVSO71wkfjMzaxtFRqP9CJgtaSrZOjYnAJNbqySpC3AD8HlgKfCMpAci4rncaZcC8yLihDTx5w3AX6akcw4wkiy5PSLpvyLiV8AtwNcjYoaks8iWrb4caARGRESTpL7As5IejIimdK/TI6KhwPOamVkba7VlExHfAc4E3gRWAmdGxFUFrj0SWBIRL0bEGuAnwPFV5wwFHkv3eR4YJGkXYG/gqYhYlZLFDLIkB9k7pMo7o0eBk1L9VbnEsh1ZYjQzszrQYrLJdU/tBLxM1sL5EfDrVNaafsAruf2lqSzvWeDEdJ+RwECy6XAagUMk9ZK0PXA0sFuq0wgcl7ZPyZUj6SBJC4EFwHm55ANwe+pCu1ySWnjmsZIaJDWsWLGiwCOamVkRtVo2d6afc4CG3Key35rmfqFXtzauBnpKmgdcAMwFmiJiEXANWcvlEbKkVEkcZwHjJM0hGzH3/vukiHg6IvYhGz03UVJl4tDTI2Jf4OD0+XJzAUfETRExIiJG9OnTp8AjmplZEbVGox2Tfm7qEtBLybU6yFosy6vu8RZZFx2ptfFS+hARtwK3pmNXpetVutsOT+V7kc3VVh37IknvAsOAhohYlsrflnQnWRdfq++dzMysbdT6Uucna1WMiF+0cu1ngMGSdgeWAacCp1XdowewKr3TORuYmRIQknaOiNckDSDrahtVVb4VcBkwKZXvDrySBggMJHu387KkrYEeEfG6pK5kC8L9rJXYzcysDdUajfbdGscCOKzWhdMv/fOB6UAX4LaIWCjpvHR8EtlAgMmS1gHPAV/JXeI+Sb3IJgIdFxFvpvIxaX0dgCnA7Wn7s8AESWuB9cDXUoL5GDA9JZouZInm5lqxm5lZ21KEB201Z8SIEdHQUP5I6S/9MFsE9e5zR5V+LzOzskmaExEjqsuLfM+G9L2XoWy4UqffeZiZWSGtJhtJ/wD8BVmyeQg4Cvgf/ILdzMwKKjJdzcnAXwK/jYgzgeHAtqVGZWZmHUqRZLM6ItYDTemLnq/hdW3MzGwjFHln05CGKN9M9oXOd4DZZQZlZmYdS63v2fwAuDMivpaKJkl6BOgeEfM3S3RmZtYh1GrZ/Ar4bppB+W7groiYt1miMjOzDqXFdzYRcV1EjAL+HHiDbCLLRZK+laaJMTMzK6TIEgO/johrIuIAsulmTgAWlR6ZmZl1GK0mG0ldJR0r6cfAw8AvSWvImJmZFVFrgMDngTFksyrPJlv8bGxEvLuZYjMzsw6i1gCBS8nWtPl6RLyxmeIxM7MOqNZ6NoduzkDMzKzjKjKDgJmZ2UfiZGNmZqVzsjEzs9I52ZiZWemcbMzMrHRONmZmVjonGzMzK52TjZmZlc7JxszMSudkY2ZmpXOyMTOz0jnZmJlZ6ZxszMysdE42ZmZWOicbMzMrXanJRtKRkhZLWiJpQjPHe0qaKmm+pNmShuWOXSipUdJCSRflyodLmiVpgaQHJXVP5SMlzUufZyWdkKtzYDp/iaTrJanM5zYzsw2VlmwkdQFuAI4ChgJjJA2tOu1SYF5E7AecAVyX6g4DzgFGAsOBYyQNTnVuASZExL7AVGB8Km8ERkTE/sCRwA8lVRaHuxEYCwxOnyPb9mnNzKyWMls2I4ElEfFiRKwBfgIcX3XOUOAxgIh4HhgkaRdgb+CpiFgVEU3ADKDSUhkCzEzbjwInpfqVcwG2AwJAUl+ge0TMiogAJgOj2/phzcysZWUmm37AK7n9paks71ngRMi6wYCBQH+yVsohknpJ2h44Gtgt1WkEjkvbp+TKkXSQpIXAAuC8lHz6pXvXisPMzEpUZrJp7r1IVO1fDfSUNA+4AJgLNEXEIuAaspbLI2RJqdJqOQsYJ2kOsAOw5v2LRzwdEfsAnwImStquYBxZwNJYSQ2SGlasWFHsKc3MrFVbt37KJltKrtVB1mJZnj8hIt4CzgRIL+1fSh8i4lbg1nTsqnS9Snfb4al8L+AL1TeOiEWS3gWGpXr9a8WRq3cTcBPAiBEjmk1IZma28cps2TwDDJa0u6RtgFOBB/InSOqRjgGcDcxMCQhJO6efA8i62u6qKt8KuAyYlPZ3rwwIkDSQ7N3OyxHxKvC2pE+nhHYGcH95j21mZtVKa9lERJOk84HpQBfgtohYKOm8dHwS2UCAyZLWAc8BX8ld4j5JvYC1wLiIeDOVj5E0Lm1PAW5P258FJkhaC6wHvhYRr6djXwXuALoBD6ePmZltJsoGaFm1ESNGRENDQ+n3+dIPZwFw97mjSr+XmVnZJM2JiBHV5Z5BwMzMSudkY2ZmpXOyMTOz0jnZmJlZ6ZxszMysdE42ZmZWOicbMzMrnZONmZmVzsnGzMxK52RjZmalc7IxM7PSOdmYmVnpnGzMzKx0TjZmZlY6JxszMyudk42ZmZXOycbMzErnZGNmZqVzsjEzs9I52ZiZWem2bu8AOpJpc5dx7fTFLF+5ml17dGP8EUMYfUC/9g7LzKzdOdm0kWlzlzFxygJWr10HwLKVq5k4ZQGAE46ZdXpONm3k2umL3080FavXruOSe+dz1+zftFjvuVffYmjf7mWHZ2bWrvzOpo0sX7m62fI169bXrDe0b3eO398tHzPr2NyyaSO79ujGsmYSTr8e3bj73FHtEJGZWf1wy6aNjD9iCN26dtmgrFvXLow/Ykg7RWRmVj/csmkjlUEAHo1mZvZhTjZtaPQB/ZxczMya4W40MzMrXanJRtKRkhZLWiJpQjPHe0qaKmm+pNmShuWOXSipUdJCSRflyodLmiVpgaQHJXVP5Z+XNCeVz5F0WK7OEymOeemzc5nPbWZmGyot2UjqAtwAHAUMBcZIGlp12qXAvIjYDzgDuC7VHQacA4wEhgPHSBqc6twCTIiIfYGpwPhU/jpwbCr/a+BHVfc6PSL2T5/X2vBRzcysFWW2bEYCSyLixYhYA/wEOL7qnKHAYwAR8TwwSNIuwN7AUxGxKiKagBnACanOEGBm2n4UOCnVnxsRy1P5QmA7SduW82hmZrYxykw2/YBXcvtLU1nes8CJAJJGAgOB/kAjcIikXpK2B44Gdkt1GoHj0vYpufK8k4C5EfFeruz21IV2uSRt+mOZmdnGKnM0WnO/0KNq/2rgOknzgAXAXKApIhZJuoas5fIOWVJqSnXOAq6X9C3gAWDNBjeV9gGuAQ7PFZ8eEcsk7QDcB3wZmPyhgKWxwNi0+46k35N1z20perNlxQtbXsyOt3xbWsyOd0MDmytURPXv/7YhaRRwRUQckfYnAkTEP7VwvoCXgP0i4q2qY1cBSyPiX6vK9wL+PSJGpv3+wOPAmRHxZAv3+RtgREScX+AZGiJiRGvn1YstLV7Y8mJ2vOXb0mJ2vMWU2Y32DDBY0u6StgFOJWuJvE9Sj3QM4GxgZiXRVEaMSRpA1tV2V1X5VsBlwKTKtYD/AibmE42krSX1TttdgWPIuuLMzGwzKa0bLSKaJJ0PTAe6ALdFxEJJ56Xjk8gGAkyWtA54DvhK7hL3SeoFrAXGRcSbqXyMpHFpewpwe9o+H9gTuFzS5anscOBdYHpKNF2AnwE3t/0Tm5lZS0rrRusIJI2NiJvaO46itrR4YcuL2fGWb0uL2fEWvK+TjZmZlc3T1ZiZWemcbMzMrHRONs1obU63eiDpNkmvSWrMle0k6VFJv0o/e7ZnjHmSdpP0c0mL0nx3F6byuoxZ0nZpvr5nU7xXpvK6jLdCUhdJcyX9Z9qv93hfTvMZzpPUkMrqNuY0gvZeSc+nv8uj6jzeIfpgTsh5kt6SdFF7xOxkU0XF5nSrB3cAR1aVTQAei4jBZNMA1VOibAL+PiL2Bj4NjEt/rvUa83vAYRExHNgfOFLSp6nfeCsuBBbl9us9XoBD05yFle9+1HPM1wGPRMQnyOZtXEQdxxsRiytzQgIHAqvI5pTc/DFHhD+5DzAKmJ7bn0j23Z12j62ZWAcBjbn9xUDftN0XWNzeMdaI/X7g81tCzMD2wC+Ag+o5XrKpnh4DDgP+c0v4OwG8DPSuKqvLmIHuZF8815YQbzPxHw482V4xu2XzYUXmdKtXu0TEqwDpZ10upSBpEHAA8DR1HHPqkpoHvAY8GhF1HS/w/4BLgPW5snqOF7IprH6qbFmQylRR9RrzHsAKsnkW50q6RdLHqN94q51K+nI87RCzk82HFZnTzTaRpI+TzU93UVRNS1RvImJdZN0P/YGRyq23VG8kHQO8FhFz2juWjfRnEfFJsm7rcZIOae+Aatga+CRwY0QcQPaF8brpMqslzdRyHHBPe8XgZPNhS9lwJun+wPIWzq03v5PUFyD9rKt1e9IsDvcBP46IKam4rmMGiIiVwBNk78jqNd4/A46T9DLZch6HSfp36jdeACItCxLZGlNTyZYmqdeYl5LN0fh02r+XLPnUa7x5RwG/iIjfpf3NHrOTzYe1OqdbHXuAbOE40s/72zGWDUgScCuwKCK+lztUlzFL6qNsvj0kdQM+BzxPncYbERMjon9EDCL7O/t4RPwVdRovgKSPKZuJndQddTjZvIV1GXNE/BZ4RdKQVPSXZNNs1WW8VcbwQRcatEfM7f3Sqh4/ZOvn/BJ4Afhme8fTQox3Aa+SzR23lGxeuV5kL4h/lX7u1N5x5uL9LFl35HxgXvocXa8xA/uRLXkxn+wX4LdSeV3GWxX7X/DBAIG6jZfsHciz6bOw8v9ance8P9CQ/l5MA3rWc7wp5u2B3wM75so2e8yersbMzErnbjQzMyudk42ZmZXOycbMzErnZGNmZqVzsjEzs9I52VinJOn7ki7K7U+XdEtu/7uSLq5R/w5JJ6ftJySNaOacrpKuTjPrNqZZpI9Kx16W1HsT4n7/vi0cvyHN7vucpNW52X5PlvRQ5btDbUlS38os0y0c30bSTEmlLUNv9c/Jxjqr/wU+AyBpK6A3sE/u+GeAJz/iPb5NNsnhsIgYBhwL7PARr1lTRIyLbIqdo4EXIs34GxH3RsTRkc2G0NYuBm6uEdMasu9yfKmEe9sWwsnGOqsnScmGLMk0Am9L6ilpW2BvYK6kb0l6JrVMbkozIbRK0vbAOcAFEfEeQET8LiL+o5lzL07Xb6xqbZ0hab6yNXV+1Ey9b6eWTqH/jyutKUmD0nost6R7/ljS5yQ9mVphI9P5H1O2btIzaeLJ41u49EnAI6nOPqkFNy/FPjidMw04vUic1jG5WWudUkQsl9QkaQBZ0plFNrv3KOAPwPyIWCPpBxHxjwDpF/4xwIMFbrEn8JtoZbJRSQcCZ5ItXyDgaUkzgDXAN8kmqnxd0k5V9f4Z2BE4Mzbtm9l7AqcAY8mmaDqNbJaH44BLgdHp/o9HxFmp+222pJ9FxLu5OHYH3qwkVOA84LqI+HGa7qlLKm8EPrUJcVoH4ZaNdWaV1k0l2czK7f9vOudQSU9LWkC2Tsw+zV3oI/gsMDUi3o2Id4ApwMHpXvdGxOsAEfFGrs7lQI+IOHcTEw3ASxGxICLWk00V81i61gKydZIgm6tsgrJlFp4AtgMGVF2nL9m0+xWzgEslfQMYGBGrU/zrgDWVudCs83Gysc6s8t5mX7J/eT9F1rL5DPCkpO2AfwVOjoh9yd5LbFfw2kuAAQV+ubbULSdaXtriGeDA6tbORnovt70+t7+eD3o8BJyUe+8zICLyq4ACrCb3ZxIRd5K1jlYD0yUdljt3W+CPHyFm24I52Vhn9iRZt9gbka1d8wbQgyzhzOKDX6KvK1uHp8VRYNUiYhXZLNfXp+6kyqitv6o6dSYwWtL2aebjE4D/Jnuh/kVJvVLdfGJ5BLga+K+SWwrTgQsq76kkHdDMOb/kg5YQkvYAXoyI68lmFt4vlfcCVkTE2hLjtTrmZGOd2QKyUWhPVZX9ISJeTyO3bk5l08haFBvjMrIupuckNaZr5LuciIhfAHcAs8lWLr0lIuZGxELgO8AMSc8C36uqd0+K7YG0BEIZvg10Bean+L9dfUJ6f/OCpD1T0ZeAxtT19glgcio/FHiopDhtC+BZn83sI5F0AnBgRFxW45wpwMSIWLz5IrN64tFoZvaRRMTUSndfc1I34jQnms7NLRszMyud39mYmVnpnGzMzKx0TjZmZlY6JxszMyudk42ZmZXu/wPJS1dVDDd3RgAAAABJRU5ErkJggg=="
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"## 3. Comparison with Alternatives"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"FLAML's MAPE"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"from flaml.ml import sklearn_metric_loss_score\r\n",
|
|
"print('flaml mape', '=', sklearn_metric_loss_score('mape', flaml_y_pred, y_test))"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"flaml mape = 0.0006780276756290267\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Default Prophet"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"from prophet import Prophet\r\n",
|
|
"prophet_model = Prophet()"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"X_train_prophet = X_train.copy()\r\n",
|
|
"X_train_prophet = X_train_prophet.rename(columns={'index': 'ds', 'co2': 'y'})\r\n",
|
|
"prophet_model.fit(X_train_prophet)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stderr",
|
|
"text": [
|
|
"INFO:prophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
|
|
"INFO:prophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": [
|
|
"<prophet.forecaster.Prophet at 0x2c84853f9d0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 38
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"X_test_prophet = X_test.copy()\r\n",
|
|
"X_test_prophet = X_test_prophet.rename(columns={'index': 'ds'})\r\n",
|
|
"prophet_y_pred = prophet_model.predict(X_test_prophet)['yhat']\r\n",
|
|
"print('Predicted labels', prophet_y_pred)\r\n",
|
|
"print('True labels', y_test)\r\n",
|
|
"from flaml.ml import sklearn_metric_loss_score\r\n",
|
|
"print('default prophet mape', '=', sklearn_metric_loss_score('mape', prophet_y_pred, y_test))"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Predicted labels 0 370.450675\n",
|
|
"1 371.177764\n",
|
|
"2 372.229577\n",
|
|
"3 373.419835\n",
|
|
"4 373.914917\n",
|
|
"5 373.406484\n",
|
|
"6 372.053428\n",
|
|
"7 370.149037\n",
|
|
"8 368.566631\n",
|
|
"9 368.646853\n",
|
|
"10 369.863891\n",
|
|
"11 371.135959\n",
|
|
"Name: yhat, dtype: float64\n",
|
|
"True labels co2\n",
|
|
"514 370.175\n",
|
|
"515 371.325\n",
|
|
"516 372.060\n",
|
|
"517 372.775\n",
|
|
"518 373.800\n",
|
|
"519 373.060\n",
|
|
"520 371.300\n",
|
|
"521 369.425\n",
|
|
"522 367.880\n",
|
|
"523 368.050\n",
|
|
"524 369.375\n",
|
|
"525 371.020\n",
|
|
"default prophet mape = 0.0011396920680673015\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Auto Arima"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"# !pip install pmdarima"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"from pmdarima.arima import auto_arima\r\n",
|
|
"import pandas as pd\r\n",
|
|
"import time"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"X_train_arima = X_train.copy()\r\n",
|
|
"X_train_arima.index = pd.to_datetime(X_train_arima['index'])\r\n",
|
|
"X_train_arima = X_train_arima.drop('index', axis=1)\r\n",
|
|
"X_train_arima = X_train_arima.rename(columns={'co2': 'y'})\r\n",
|
|
"# use same search space as FLAML\r\n",
|
|
"arima_model = auto_arima(X_train_arima, \r\n",
|
|
" start_p=2, d=None, start_q=2, max_p=10, max_d=2, max_q=10, \r\n",
|
|
" suppress_warnings=True, stepwise=False, seasonal=False, \r\n",
|
|
" error_action='ignore', trace=True, n_fits=500)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
" ARIMA(0,1,0)(0,0,0)[0] intercept : AIC=1638.009, Time=0.02 sec\n",
|
|
" ARIMA(0,1,1)(0,0,0)[0] intercept : AIC=1344.207, Time=0.10 sec\n",
|
|
" ARIMA(0,1,2)(0,0,0)[0] intercept : AIC=1222.286, Time=0.17 sec\n",
|
|
" ARIMA(0,1,3)(0,0,0)[0] intercept : AIC=1174.928, Time=0.22 sec\n",
|
|
" ARIMA(0,1,4)(0,0,0)[0] intercept : AIC=1188.947, Time=0.37 sec\n",
|
|
" ARIMA(0,1,5)(0,0,0)[0] intercept : AIC=1091.452, Time=0.46 sec\n",
|
|
" ARIMA(1,1,0)(0,0,0)[0] intercept : AIC=1298.693, Time=0.07 sec\n",
|
|
" ARIMA(1,1,1)(0,0,0)[0] intercept : AIC=1240.963, Time=0.15 sec\n",
|
|
" ARIMA(1,1,2)(0,0,0)[0] intercept : AIC=1196.535, Time=0.21 sec\n",
|
|
" ARIMA(1,1,3)(0,0,0)[0] intercept : AIC=1176.484, Time=0.31 sec\n",
|
|
" ARIMA(1,1,4)(0,0,0)[0] intercept : AIC=inf, Time=1.11 sec\n",
|
|
" ARIMA(2,1,0)(0,0,0)[0] intercept : AIC=1180.404, Time=0.11 sec\n",
|
|
" ARIMA(2,1,1)(0,0,0)[0] intercept : AIC=990.719, Time=0.32 sec\n",
|
|
" ARIMA(2,1,2)(0,0,0)[0] intercept : AIC=988.094, Time=0.48 sec\n",
|
|
" ARIMA(2,1,3)(0,0,0)[0] intercept : AIC=1140.469, Time=0.54 sec\n",
|
|
" ARIMA(3,1,0)(0,0,0)[0] intercept : AIC=1126.139, Time=0.29 sec\n",
|
|
" ARIMA(3,1,1)(0,0,0)[0] intercept : AIC=989.496, Time=0.71 sec\n",
|
|
" ARIMA(3,1,2)(0,0,0)[0] intercept : AIC=991.599, Time=0.89 sec\n",
|
|
" ARIMA(4,1,0)(0,0,0)[0] intercept : AIC=1125.025, Time=0.20 sec\n",
|
|
" ARIMA(4,1,1)(0,0,0)[0] intercept : AIC=988.660, Time=0.72 sec\n",
|
|
" ARIMA(5,1,0)(0,0,0)[0] intercept : AIC=1113.673, Time=0.20 sec\n",
|
|
"\n",
|
|
"Best model: ARIMA(2,1,2)(0,0,0)[0] intercept\n",
|
|
"Total fit time: 7.677 seconds\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"autoarima_y_pred = arima_model.predict(n_periods = 12)\r\n",
|
|
"print('Predicted labels', y_pred)\r\n",
|
|
"print('True labels', y_test)\r\n",
|
|
"from flaml.ml import sklearn_metric_loss_score\r\n",
|
|
"print('auto arima', '=', sklearn_metric_loss_score('mape', autoarima_y_pred, y_test))"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Predicted labels [370.543233 371.28354891 372.2267332 373.49227877 373.88691133\n",
|
|
" 373.34103694 371.86609201 369.82045256 368.08845427 368.31840709\n",
|
|
" 369.67730838 371.05530796]\n",
|
|
"True labels co2\n",
|
|
"514 370.175\n",
|
|
"515 371.325\n",
|
|
"516 372.060\n",
|
|
"517 372.775\n",
|
|
"518 373.800\n",
|
|
"519 373.060\n",
|
|
"520 371.300\n",
|
|
"521 369.425\n",
|
|
"522 367.880\n",
|
|
"523 368.050\n",
|
|
"524 369.375\n",
|
|
"525 371.020\n",
|
|
"auto arima = 0.003201746906460404\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Auto SARIMA"
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"# !pip install pmdarima"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"from pmdarima.arima import auto_arima\r\n",
|
|
"import pandas as pd\r\n",
|
|
"import time"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"X_train_arima = X_train.copy()\r\n",
|
|
"X_train_arima.index = pd.to_datetime(X_train_arima['index'])\r\n",
|
|
"X_train_arima = X_train_arima.drop('index', axis=1)\r\n",
|
|
"X_train_arima = X_train_arima.rename(columns={'co2': 'y'})\r\n",
|
|
"# use same search space as FLAML\r\n",
|
|
"arima_model = auto_arima(X_train_arima, \r\n",
|
|
" start_p=2, d=None, start_q=2, max_p=10, max_d=2, max_q=10,\r\n",
|
|
" start_P=1, D=None, start_Q=1, max_P=10, max_D=2, max_Q=10, m=12,\r\n",
|
|
" suppress_warnings=True, stepwise=False, seasonal=True, \r\n",
|
|
" error_action='ignore', trace=True, n_fits=50)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
" ARIMA(0,1,0)(0,0,0)[12] intercept : AIC=1638.009, Time=0.03 sec\n",
|
|
" ARIMA(0,1,0)(0,0,1)[12] intercept : AIC=1238.943, Time=0.24 sec\n",
|
|
" ARIMA(0,1,0)(0,0,2)[12] intercept : AIC=1040.890, Time=0.41 sec\n",
|
|
" ARIMA(0,1,0)(0,0,3)[12] intercept : AIC=911.545, Time=1.12 sec\n",
|
|
" ARIMA(0,1,0)(0,0,4)[12] intercept : AIC=823.103, Time=2.17 sec\n",
|
|
" ARIMA(0,1,0)(0,0,5)[12] intercept : AIC=792.850, Time=3.83 sec\n",
|
|
" ARIMA(0,1,0)(1,0,0)[12] intercept : AIC=inf, Time=0.29 sec\n",
|
|
" ARIMA(0,1,0)(1,0,1)[12] intercept : AIC=inf, Time=1.09 sec\n",
|
|
" ARIMA(0,1,0)(1,0,2)[12] intercept : AIC=inf, Time=1.95 sec\n",
|
|
" ARIMA(0,1,0)(1,0,3)[12] intercept : AIC=442.078, Time=4.98 sec\n",
|
|
" ARIMA(0,1,0)(1,0,4)[12] intercept : AIC=inf, Time=7.63 sec\n",
|
|
" ARIMA(0,1,0)(2,0,0)[12] intercept : AIC=inf, Time=0.82 sec\n",
|
|
" ARIMA(0,1,0)(2,0,1)[12] intercept : AIC=inf, Time=1.83 sec\n",
|
|
" ARIMA(0,1,0)(2,0,2)[12] intercept : AIC=inf, Time=2.20 sec\n",
|
|
" ARIMA(0,1,0)(2,0,3)[12] intercept : AIC=427.410, Time=6.58 sec\n",
|
|
" ARIMA(0,1,0)(3,0,0)[12] intercept : AIC=inf, Time=2.77 sec\n",
|
|
" ARIMA(0,1,0)(3,0,1)[12] intercept : AIC=438.942, Time=3.45 sec\n",
|
|
" ARIMA(0,1,0)(3,0,2)[12] intercept : AIC=431.438, Time=5.52 sec\n",
|
|
" ARIMA(0,1,0)(4,0,0)[12] intercept : AIC=inf, Time=5.85 sec\n",
|
|
" ARIMA(0,1,0)(4,0,1)[12] intercept : AIC=430.317, Time=8.43 sec\n",
|
|
" ARIMA(0,1,0)(5,0,0)[12] intercept : AIC=inf, Time=12.20 sec\n",
|
|
" ARIMA(0,1,1)(0,0,0)[12] intercept : AIC=1344.207, Time=0.10 sec\n",
|
|
" ARIMA(0,1,1)(0,0,1)[12] intercept : AIC=1112.274, Time=0.28 sec\n",
|
|
" ARIMA(0,1,1)(0,0,2)[12] intercept : AIC=993.565, Time=0.56 sec\n",
|
|
" ARIMA(0,1,1)(0,0,3)[12] intercept : AIC=891.683, Time=1.83 sec\n",
|
|
" ARIMA(0,1,1)(0,0,4)[12] intercept : AIC=820.025, Time=3.45 sec\n",
|
|
" ARIMA(0,1,1)(1,0,0)[12] intercept : AIC=612.811, Time=0.48 sec\n",
|
|
" ARIMA(0,1,1)(1,0,1)[12] intercept : AIC=392.523, Time=1.06 sec\n",
|
|
" ARIMA(0,1,1)(1,0,2)[12] intercept : AIC=424.761, Time=2.34 sec\n",
|
|
" ARIMA(0,1,1)(1,0,3)[12] intercept : AIC=423.152, Time=5.78 sec\n",
|
|
" ARIMA(0,1,1)(2,0,0)[12] intercept : AIC=510.637, Time=1.20 sec\n",
|
|
" ARIMA(0,1,1)(2,0,1)[12] intercept : AIC=412.849, Time=2.22 sec\n",
|
|
" ARIMA(0,1,1)(2,0,2)[12] intercept : AIC=396.908, Time=2.52 sec\n",
|
|
" ARIMA(0,1,1)(3,0,0)[12] intercept : AIC=467.985, Time=3.81 sec\n",
|
|
" ARIMA(0,1,1)(3,0,1)[12] intercept : AIC=405.933, Time=6.55 sec\n",
|
|
" ARIMA(0,1,1)(4,0,0)[12] intercept : AIC=448.948, Time=5.47 sec\n",
|
|
" ARIMA(0,1,2)(0,0,0)[12] intercept : AIC=1222.286, Time=0.16 sec\n",
|
|
" ARIMA(0,1,2)(0,0,1)[12] intercept : AIC=1046.922, Time=0.27 sec\n",
|
|
" ARIMA(0,1,2)(0,0,2)[12] intercept : AIC=947.532, Time=0.69 sec\n",
|
|
" ARIMA(0,1,2)(0,0,3)[12] intercept : AIC=867.310, Time=1.82 sec\n",
|
|
" ARIMA(0,1,2)(1,0,0)[12] intercept : AIC=608.450, Time=0.55 sec\n",
|
|
" ARIMA(0,1,2)(1,0,1)[12] intercept : AIC=402.050, Time=1.26 sec\n",
|
|
" ARIMA(0,1,2)(1,0,2)[12] intercept : AIC=422.338, Time=2.51 sec\n",
|
|
" ARIMA(0,1,2)(2,0,0)[12] intercept : AIC=507.685, Time=1.49 sec\n",
|
|
" ARIMA(0,1,2)(2,0,1)[12] intercept : AIC=408.472, Time=3.02 sec\n",
|
|
" ARIMA(0,1,2)(3,0,0)[12] intercept : AIC=460.596, Time=5.35 sec\n",
|
|
" ARIMA(0,1,3)(0,0,0)[12] intercept : AIC=1174.928, Time=0.18 sec\n",
|
|
" ARIMA(0,1,3)(0,0,1)[12] intercept : AIC=1037.324, Time=0.42 sec\n",
|
|
" ARIMA(0,1,3)(0,0,2)[12] intercept : AIC=947.471, Time=1.02 sec\n",
|
|
" ARIMA(0,1,3)(1,0,0)[12] intercept : AIC=602.141, Time=0.73 sec\n",
|
|
" ARIMA(0,1,3)(1,0,1)[12] intercept : AIC=399.087, Time=1.92 sec\n",
|
|
" ARIMA(0,1,3)(2,0,0)[12] intercept : AIC=500.296, Time=1.92 sec\n",
|
|
" ARIMA(0,1,4)(0,0,0)[12] intercept : AIC=1188.947, Time=0.36 sec\n",
|
|
" ARIMA(0,1,4)(0,0,1)[12] intercept : AIC=999.240, Time=0.71 sec\n",
|
|
" ARIMA(0,1,4)(1,0,0)[12] intercept : AIC=604.133, Time=0.88 sec\n",
|
|
" ARIMA(0,1,5)(0,0,0)[12] intercept : AIC=1091.452, Time=0.50 sec\n",
|
|
" ARIMA(1,1,0)(0,0,0)[12] intercept : AIC=1298.693, Time=0.08 sec\n",
|
|
" ARIMA(1,1,0)(0,0,1)[12] intercept : AIC=1075.553, Time=0.26 sec\n",
|
|
" ARIMA(1,1,0)(0,0,2)[12] intercept : AIC=971.074, Time=0.58 sec\n",
|
|
" ARIMA(1,1,0)(0,0,3)[12] intercept : AIC=882.846, Time=2.20 sec\n",
|
|
" ARIMA(1,1,0)(0,0,4)[12] intercept : AIC=818.711, Time=3.59 sec\n",
|
|
" ARIMA(1,1,0)(1,0,0)[12] intercept : AIC=inf, Time=0.50 sec\n",
|
|
" ARIMA(1,1,0)(1,0,1)[12] intercept : AIC=400.766, Time=1.07 sec\n",
|
|
" ARIMA(1,1,0)(1,0,2)[12] intercept : AIC=423.718, Time=2.76 sec\n",
|
|
" ARIMA(1,1,0)(1,0,3)[12] intercept : AIC=428.842, Time=5.94 sec\n",
|
|
" ARIMA(1,1,0)(2,0,0)[12] intercept : AIC=inf, Time=1.41 sec\n",
|
|
" ARIMA(1,1,0)(2,0,1)[12] intercept : AIC=416.666, Time=2.17 sec\n",
|
|
" ARIMA(1,1,0)(2,0,2)[12] intercept : AIC=409.065, Time=2.83 sec\n",
|
|
" ARIMA(1,1,0)(3,0,0)[12] intercept : AIC=inf, Time=3.85 sec\n",
|
|
" ARIMA(1,1,0)(3,0,1)[12] intercept : AIC=403.682, Time=6.69 sec\n",
|
|
" ARIMA(1,1,0)(4,0,0)[12] intercept : AIC=inf, Time=7.60 sec\n",
|
|
" ARIMA(1,1,1)(0,0,0)[12] intercept : AIC=1240.963, Time=0.14 sec\n",
|
|
" ARIMA(1,1,1)(0,0,1)[12] intercept : AIC=1069.162, Time=0.37 sec\n",
|
|
" ARIMA(1,1,1)(0,0,2)[12] intercept : AIC=973.065, Time=0.94 sec\n",
|
|
" ARIMA(1,1,1)(0,0,3)[12] intercept : AIC=884.323, Time=3.38 sec\n",
|
|
" ARIMA(1,1,1)(1,0,0)[12] intercept : AIC=588.156, Time=1.15 sec\n",
|
|
" ARIMA(1,1,1)(1,0,1)[12] intercept : AIC=399.033, Time=1.21 sec\n",
|
|
" ARIMA(1,1,1)(1,0,2)[12] intercept : AIC=409.596, Time=3.22 sec\n",
|
|
" ARIMA(1,1,1)(2,0,0)[12] intercept : AIC=503.551, Time=1.60 sec\n",
|
|
" ARIMA(1,1,1)(2,0,1)[12] intercept : AIC=402.095, Time=2.40 sec\n",
|
|
" ARIMA(1,1,1)(3,0,0)[12] intercept : AIC=457.277, Time=5.79 sec\n",
|
|
" ARIMA(1,1,2)(0,0,0)[12] intercept : AIC=1196.535, Time=0.25 sec\n",
|
|
" ARIMA(1,1,2)(0,0,1)[12] intercept : AIC=1042.432, Time=0.35 sec\n",
|
|
" ARIMA(1,1,2)(0,0,2)[12] intercept : AIC=948.444, Time=0.95 sec\n",
|
|
" ARIMA(1,1,2)(1,0,0)[12] intercept : AIC=583.862, Time=1.14 sec\n",
|
|
" ARIMA(1,1,2)(1,0,1)[12] intercept : AIC=403.010, Time=1.36 sec\n",
|
|
" ARIMA(1,1,2)(2,0,0)[12] intercept : AIC=502.719, Time=2.87 sec\n",
|
|
" ARIMA(1,1,3)(0,0,0)[12] intercept : AIC=1176.484, Time=0.30 sec\n",
|
|
" ARIMA(1,1,3)(0,0,1)[12] intercept : AIC=1039.309, Time=0.65 sec\n",
|
|
" ARIMA(1,1,3)(1,0,0)[12] intercept : AIC=604.131, Time=0.79 sec\n",
|
|
" ARIMA(1,1,4)(0,0,0)[12] intercept : AIC=inf, Time=1.05 sec\n",
|
|
" ARIMA(2,1,0)(0,0,0)[12] intercept : AIC=1180.404, Time=0.10 sec\n",
|
|
" ARIMA(2,1,0)(0,0,1)[12] intercept : AIC=1058.115, Time=0.25 sec\n",
|
|
" ARIMA(2,1,0)(0,0,2)[12] intercept : AIC=973.051, Time=0.74 sec\n",
|
|
" ARIMA(2,1,0)(0,0,3)[12] intercept : AIC=883.377, Time=1.90 sec\n",
|
|
" ARIMA(2,1,0)(1,0,0)[12] intercept : AIC=inf, Time=0.43 sec\n",
|
|
" ARIMA(2,1,0)(1,0,1)[12] intercept : AIC=416.799, Time=1.05 sec\n",
|
|
" ARIMA(2,1,0)(1,0,2)[12] intercept : AIC=400.863, Time=2.36 sec\n",
|
|
" ARIMA(2,1,0)(2,0,0)[12] intercept : AIC=inf, Time=1.49 sec\n",
|
|
" ARIMA(2,1,0)(2,0,1)[12] intercept : AIC=400.859, Time=2.41 sec\n",
|
|
" ARIMA(2,1,0)(3,0,0)[12] intercept : AIC=inf, Time=4.49 sec\n",
|
|
" ARIMA(2,1,1)(0,0,0)[12] intercept : AIC=990.719, Time=0.26 sec\n",
|
|
" ARIMA(2,1,1)(0,0,1)[12] intercept : AIC=881.526, Time=0.73 sec\n",
|
|
" ARIMA(2,1,1)(0,0,2)[12] intercept : AIC=837.402, Time=2.20 sec\n",
|
|
" ARIMA(2,1,1)(1,0,0)[12] intercept : AIC=584.097, Time=1.56 sec\n",
|
|
" ARIMA(2,1,1)(1,0,1)[12] intercept : AIC=443.589, Time=1.83 sec\n",
|
|
" ARIMA(2,1,1)(2,0,0)[12] intercept : AIC=494.535, Time=2.78 sec\n",
|
|
" ARIMA(2,1,2)(0,0,0)[12] intercept : AIC=988.094, Time=0.48 sec\n",
|
|
" ARIMA(2,1,2)(0,0,1)[12] intercept : AIC=757.307, Time=1.35 sec\n",
|
|
" ARIMA(2,1,2)(1,0,0)[12] intercept : AIC=594.527, Time=2.10 sec\n",
|
|
" ARIMA(2,1,3)(0,0,0)[12] intercept : AIC=1140.469, Time=0.53 sec\n",
|
|
" ARIMA(3,1,0)(0,0,0)[12] intercept : AIC=1126.139, Time=0.30 sec\n",
|
|
" ARIMA(3,1,0)(0,0,1)[12] intercept : AIC=996.923, Time=0.36 sec\n",
|
|
" ARIMA(3,1,0)(0,0,2)[12] intercept : AIC=918.438, Time=0.87 sec\n",
|
|
" ARIMA(3,1,0)(1,0,0)[12] intercept : AIC=inf, Time=0.62 sec\n",
|
|
" ARIMA(3,1,0)(1,0,1)[12] intercept : AIC=406.333, Time=1.24 sec\n",
|
|
" ARIMA(3,1,0)(2,0,0)[12] intercept : AIC=inf, Time=2.16 sec\n",
|
|
" ARIMA(3,1,1)(0,0,0)[12] intercept : AIC=989.496, Time=0.80 sec\n",
|
|
" ARIMA(3,1,1)(0,0,1)[12] intercept : AIC=856.486, Time=1.45 sec\n",
|
|
" ARIMA(3,1,1)(1,0,0)[12] intercept : AIC=604.951, Time=0.76 sec\n",
|
|
" ARIMA(3,1,2)(0,0,0)[12] intercept : AIC=991.599, Time=0.86 sec\n",
|
|
" ARIMA(4,1,0)(0,0,0)[12] intercept : AIC=1125.025, Time=0.20 sec\n",
|
|
" ARIMA(4,1,0)(0,0,1)[12] intercept : AIC=987.621, Time=0.41 sec\n",
|
|
" ARIMA(4,1,0)(1,0,0)[12] intercept : AIC=inf, Time=0.83 sec\n",
|
|
" ARIMA(4,1,1)(0,0,0)[12] intercept : AIC=988.660, Time=0.74 sec\n",
|
|
" ARIMA(5,1,0)(0,0,0)[12] intercept : AIC=1113.673, Time=0.23 sec\n",
|
|
"\n",
|
|
"Best model: ARIMA(0,1,1)(1,0,1)[12] intercept\n",
|
|
"Total fit time: 249.429 seconds\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"autosarima_y_pred = arima_model.predict(n_periods = 12)\r\n",
|
|
"print('Predicted labels', autosarima_y_pred)\r\n",
|
|
"print('True labels', y_test)\r\n",
|
|
"from flaml.ml import sklearn_metric_loss_score\r\n",
|
|
"print('auto sarima', '=', sklearn_metric_loss_score('mape', autosarima_y_pred, y_test))"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Predicted labels [370.543233 371.28354891 372.2267332 373.49227877 373.88691133\n",
|
|
" 373.34103694 371.86609201 369.82045256 368.08845427 368.31840709\n",
|
|
" 369.67730838 371.05530796]\n",
|
|
"True labels co2\n",
|
|
"514 370.175\n",
|
|
"515 371.325\n",
|
|
"516 372.060\n",
|
|
"517 372.775\n",
|
|
"518 373.800\n",
|
|
"519 373.060\n",
|
|
"520 371.300\n",
|
|
"521 369.425\n",
|
|
"522 367.880\n",
|
|
"523 368.050\n",
|
|
"524 369.375\n",
|
|
"525 371.020\n",
|
|
"auto sarima = 0.0007724244328789994\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"source": [
|
|
"# !pip install matplotlib"
|
|
],
|
|
"outputs": [],
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 79,
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\r\n",
|
|
"plt.plot(X_test, y_test, label='Actual level')\r\n",
|
|
"plt.plot(X_test, flaml_y_pred, label='FLAML forecast')\r\n",
|
|
"plt.plot(X_test, autoarima_y_pred, label='Auto ARIMA forecast')\r\n",
|
|
"plt.plot(X_test, autosarima_y_pred, label='Auto SARIMA forecast')\r\n",
|
|
"plt.xlabel('Date')\r\n",
|
|
"plt.ylabel('CO2 Levels')\r\n",
|
|
"plt.legend()"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.legend.Legend at 0x2c8518e4580>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 79
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
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"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
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],
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