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Paper · arXiv

Robust Parameter Learning for Uncertain MDPs

Learning-based approaches to verifying unknown Markov decision processes (MDPs) often employ uncertain MDPs. These models use, for example, confidence intervals to capture transition uncertainty and allow synthesis of policies that are robust to this uncertainty. However, this approach typically quantifies uncertainty independently for individual transition probabilities, ignoring dependencies due to shared latent quantities. We propose to learn such models using parametric MDPs (pMDPs), where transition probabilities are expressions over a set of parameters. We project statistical uncertainty from empirical transition frequencies onto the pMDP's parameter space, yielding a probably appro...

AuthorsYannik Schnitzer, Alessandro Abate, David Parker
Primary categorycs.LG
Published2 May 2026
Last updated at source2 May 2026
cs.LG
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