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Simulation-Augmented Multi-Step Split Conformal Prediction for Aggregated Forecasts

About

We study uncertainty quantification for aggregated forecasting tasks such as annual totals and year-over-year growth rates. We propose SA-MSCP, a simulation-augmented multi-step split conformal method that generates future paths from cross-validated residuals using a block bootstrap and constructs prediction intervals from empirical quantiles. Experiments show that SA-MSCP improves empirical coverage over a simulated-path baseline for aggregated and growth-rate targets. Our results demonstrate that simulation-enhanced conformal calibration is an effective and general framework for uncertainty quantification in aggregated time-series forecasting.

Andro Sabashvili• 2026

Related benchmarks

TaskDatasetResultRank
Aggregated ForecastingProprietary Sales Data (Y-o-Y Sales Growth)
Interval Width1.4
6
ForecastingProprietary Sales Data Raw Sales
Coverage96.1
6
Prediction Interval EstimationM4 Y-o-Y Sales Growth
Interval Width1.6
6
Year-over-Year Sales Growth ForecastingProprietary Sales Data (Y-o-Y Sales Growth)
Coverage94.2
6
Aggregated ForecastingProprietary Sales Data Aggregated Sales
Forecast Interval Width4.10e+6
6
Aggregated ForecastsProprietary Sales Data Raw Sales
Interval Width5.1
6
Prediction Interval EstimationM4 Raw Sales
Interval Width5.60e+3
6
Prediction Interval EstimationM4 Aggregated Sales
Interval Width5.50e+4
6
Aggregated ForecastingProprietary Sales Data Raw Sales
Coverage Delta4.4
3
Aggregated ForecastsM4 Raw Sales
Coverage Delta6.9
3
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