MFLES v0.2.2

A Specific implementation from ThymeBoost written with the help of Numba.

Here is a quick Introduction and demonstration of methods such as Conformal Prediction Intervals and seasonality decomposition:

https://github.com/tblume1992/MFLES/blob/main/examples/MFLES_Intro.ipynb

Here is a quick benchmark vs AutoETS from M4:

Quick Start:

Install via pip

pip install MFLES

Import MFLES class

from MFLES.Forecaster import MFLES

Import data

import pandas as pd
import numpy as np
import matplotlib.pyplot as plt

df = pd.read_csv(r'https://raw.githubusercontent.com/jbrownlee/Datasets/master/airline-passengers.csv')

Fit and predict!

mfles = MFLES()
fitted = mfles.fit(df['Passengers'].values, seasonal_period=12)
predicted = mfles.predict(12)

plt.plot(np.append(fitted, predicted))
plt.plot(df['Passengers'].values)
plt.show()

Or Optimize

mfles = MFLES()
opt_params = mfles.optimize(df['Passengers'].values,
                          seasonal_period=12,
                          test_size=6,
                          n_steps=3, #number of train/test splits to make
                          step_size=6, #the number of periods to move each step
                          metric='mse' #should support smape, mse, mae, mape
                          )
fitted = mfles.fit(df['Passengers'].values, **opt_params)
predicted = mfles.predict(12)

plt.plot(np.append(fitted, predicted))
plt.plot(df['Passengers'].values)
plt.show()

Fitting from dataframe:

from MFLES.Forecaster import fit_from_df

output = fit_from_df(df,
                      forecast_horizon=24,
                      freq='M',
                      seasonal_period=12,
                      id_column='unique_id',
                      time_column='ds',
                      value_column='y',
                      floor=0)

Optimizing from dataframe

from MFLES.Forecaster import optimize_from_df

output = optimize_from_df(df,
                          forecast_horizon=4,
                          test_size=4,
                          n_steps=3,
                          step_size=1,
                          metric='mse',
                          seasonal_period=12,
                          freq='M')

Gradient Boosted Time Series Decomposition Theory

The idea is pretty simple, take a process like decomposition and view it as a type of 'psuedo' gradient boosting since we are passing residuals around simlar to standard gradient boosting. Then apply gradient boosting approaches such as iterating with a global mechanism to control the process and introduce learning rates for each of the components in the process such as trend or seasonality or exogenous. By doing this we graduate from this 'psuedo' approach to full blown gradient boosting.

This process allows us to fit pretty exotic models and optimize for each learning rate to make them jive. Also enables online learning since the framework is made for residuals. Also opens up changepoint detection using segmentation schemes although that is out-of-scope of this library.

Citing

@software{
author = {Blume Tyler},
license = {MIT License},
title = {{MFLES}},
url = {https://github.com/tblume1992/MFLES},
version = {0.2.2},
year = {2024}
}