Adaptive Regime-Switching Forecasts with Distribution-Free Uncertainty: Deep Switching State-Space Models Meet Conformal Prediction
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Abstract (arXiv)
Regime transitions routinely break stationarity in time series, making calibrated uncertainty as important as point accuracy. We study distribution-free uncertainty for regime-switching forecasting by coupling Deep Switching State Space Models with Adaptive Conformal Inference (ACI) and its aggregated variant (AgACI). We also introduce a unified conformal wrapper that sits atop strong sequence baselines including S4, MC-Dropout GRU, sparse Gaussian processes, and a change-point local model to produce online predictive bands with finite-sample marginal guarantees under nonstationarity and model misspecification. Across synthetic and real datasets, conformalized forecasters achieve near-nominal coverage with competitive accuracy and generally improved band efficiency.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 4 of its 6 references that are in the map. First posted on arXiv 2 Dec 2025.
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4 of 6 references.
References · 4
- 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
- 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 424
- 2021Deep Switching State Space Model (DS3M) for Nonlinear Time Series Forecasting with Regime Switchingcited by 3
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Citing papers per year: 2026: 2.
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- 2026A Decomposition-based State Space Model for Multivariate Time-Series Forecasting