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Winner-takes-all for Multivariate Probabilistic Time Series Forecasting

About

We introduce TimeMCL, a method leveraging the Multiple Choice Learning (MCL) paradigm to forecast multiple plausible time series futures. Our approach employs a neural network with multiple heads and utilizes the Winner-Takes-All (WTA) loss to promote diversity among predictions. MCL has recently gained attention due to its simplicity and ability to address ill-posed and ambiguous tasks. We propose an adaptation of this framework for time-series forecasting, presenting it as an efficient method to predict diverse futures, which we relate to its implicit quantization objective. We provide insights into our approach using synthetic data and evaluate it on real-world time series, demonstrating its promising performance at a light computational cost.

Adrien Cort\'es, R\'emi Rehm, Victor Letzelter• 2025

Related benchmarks

TaskDatasetResultRank
Time Series ForecastingTraffic (test)
MSE0.319
192
Probabilistic ForecastingElectricity
CRPS0.37
38
Probabilistic ForecastingTraffic
CRPS0.262
26
Probabilistic Forecastingsolar
CRPS0.29
22
Probabilistic ForecastingWiki
CRPS0.64
21
Probabilistic time series forecastingExchange
CRPS1.12
19
Time Series ForecastingElectricity
Distortion0.607
9
Time Series ForecastingSolar (Sol.)
Distortion0.462
9
Time Series ForecastingTraffic
Distortion0.454
9
Time Series ForecastingExchange (Exch.)
Distortion1.08
9
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