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Machine Learning Forecasting

Reference for time-series-forecasting-model-builder · 64 lines

AI & Machine Learning / Classical Machine Learningv1.0.0Updated OCT 25 20263 references4 scripts

Features

GroupExamplesLeak-safe rule
Lagsy(t-H), ..., y(t-H-season+1), y(t-364)minimum lag >= horizon (direct), or recursive prediction
Rolling statisticsmean/std/min/max over 7, 14, 28 periodswindow ends at t-H
Calendarday of week, month, day of year (sin/cos), week, holidays, paydays, eventsknown in advance
Known-future covariatesplanned price, promotions, opening hoursonly values fixed at forecast time
Staticstore size, product category, regionfine
Series idcategorical id in a global modelfine
Trend handlingtarget / rolling mean, differences, or linear detrendfit within the training window

Tree models cannot predict outside the target range seen in training, so an upward trend gets flattened. Detrend (the generated script's --detrend fits a linear trend per training window), model ratios to a rolling level, or difference the target. On the fixture, detrending cut MASE from 1.088 to 0.889.

Strategies for multi-step forecasts

StrategyHowPros / cons
Recursiveone-step model, feed predictions back as lagsone model; errors compound; needs lag 1 features
Direct (one model per step)H models, model h uses lags >= hno compounding; H models
Direct with minimum lag = H (generated script)one model, all lags >= Hone model, leak-free for every step; loses the most recent information for short steps
Multi-output (MIMO)predict the H-vector at oncecaptures step dependence; needs suitable learners

Global models

One model trained on many related series, with series id or static features, usually beats per-series models when series are short or noisy. This was the case in M5, where LightGBM global models won.

python
panel["series_id"] = panel["store"].astype("category")
# features computed per series with groupby(...).shift(H).rolling(...); then one LGBMRegressor on all rows

Normalise targets per series (divide by the series mean) so large series do not dominate, and add the scale back after prediction. Use the Tweedie objective for zero-inflated sales.

Hierarchies

Store x product x region totals must add up. Forecast at each level and reconcile with bottom-up, top-down or MinT (hierarchicalforecast package). MinT usually improves accuracy at all levels.

Intervals

MethodNotes
Split-conformal on backtest residuals (generated script)distribution-free; calibrated only for regimes seen in the folds
Quantile regression (LightGBM objective="quantile", alpha=0.1 / 0.9)one model per quantile; can cross
Model-based (ETS/ARIMA)assume the model is right; often too narrow
Bootstrapped residual pathsfor recursive models

Check coverage on a later holdout. On the fixture: 0.71-0.86 in normal months for 80% intervals, but 0.46 in the December peak that the folds did not include.

Production

  • Retrain on a schedule (weekly) and backtest every retrain against the previous model and seasonal naive.
  • Monitor error by horizon and bias, with labels arriving over the horizon. Alert on sustained bias.
  • Log forecasts with their origin, so they can be evaluated exactly as in the backtest.
  • Plan for structural breaks (new stores, product launches, pandemics): override or exclude periods, and add cold-start rules for new series (use the category average or similar series).
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