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:
pip install MFLES
from MFLES.Forecaster import MFLES
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')
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()
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()
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)
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')
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.
@software{
author = {Blume Tyler},
license = {MIT License},
title = {{MFLES}},
url = {https://github.com/tblume1992/MFLES},
version = {0.2.2},
year = {2024}
}