arXiv AI By Durgam Latha, Dion Reji, S. Akshay, {\DJ}or{\dj}e \v{Z}ikeli\'c, Shankaranarayanan Krishna

Solving Robust POMDPs with Omega-regular Objectives via Partially Observable Stochastic Games

Read the original on arXiv AI →

The Flow has not summarised this story yet — read it at arXiv AI.

arXiv Machine Learning
1d ago

Linear Programming Representations and Strongly Polynomial Algorithms for Robust Markov Decision Processes

The paper presents linear programming formulations and strongly polynomial algorithms for robust Markov decision processes (RMDPs) with rational polyhedral state-action rectangular uncertainty in rewards and transitions. By encoding a finite sequence of robust policy-iteration steps, a single LP is constructed whose optimal solutions recover the robust optimal value and all optimal stationary randomized policies. The authors provide a general complexity analysis of robust policy iteration, improving known bounds for α1 and α1∞ RMDPs and establishing new strongly polynomial bounds for general interval, weighted α1, and Wasserstein RMDPs, as well as turn‑based stochastic games with these uncertainty sets.

By Han Zhong, Yinyu Ye