Hugging Face Trending Papers

Low-Complexity Policy Tessellations in Structured Markov Decision Processes

We study optimal-policy geometry in structured Markov decision processes. While approximate dynamic programming and reinforcement learning typically approximate high-dimensional value functions, we show that optimal policies induce simpler decision tessellations.

arXiv Machine Learning
Sep 17

A Geometric Theory of Decision Boundaries in Structured Markov Decision Processes

The paper develops a geometric theory of decision boundaries for structured Markov Decision Processes, treating the geometry induced by optimal policies as the key analytical object. It shows that, under structural regularity, this geometry yields the minimal representation needed for policy reconstruction and dictates the statistical and computational complexity of the reconstruction problem. The authors introduce intrinsic notions of boundary and decision complexity, derive information-theoretic measures of decision compression, and provide statistical guarantees for boundary estimation and policy reconstruction from black-box queries, supported by controlled numerical experiments.

By Fredy Pokou (MRE, INOCS)
arXiv Machine Learning
1d ago

Towards Optimal Policy Improvement

The paper introduces a framework for optimal policy improvement in reinforcement learning, defining it as the best single update under given constraints. It shows that restricting improvement to a subset of states is equivalent to solving an induced Markov Decision Process, linking planning with explicit or implicit models to optimal policy improvement. The authors develop a novel operator for greedification under approximate evaluation, demonstrating empirical gains across several RL algorithms and settings.

By Yaniv Oren, Viliam Vadocz, Wiktor Zabka, Thomas Evers, Jan Robine, Wendelin B\"ohmer, Matthijs T. J. Spaan, Martha White, Hendrik Baier, Fenghui Yu
arXiv Machine Learning
Jul 1

End-to-End Efficient RL for Linear Bellman Complete MDPs with Deterministic Transitions

arXiv:2603. 23461v2 Announce Type: replace Abstract: We study reinforcement learning (RL) with linear function approximation in Markov Decision Processes (MDPs) satisfying \emph{linear Bellman completeness} -- a fundamental setting where the Bellman backup of any linear value function remains linear.

By Zakaria Mhammedi, Alexander Rakhlin, Nneka Okolo
arXiv AI
Sep 21

Reinforcement Learning under External Influence: Guarantees, Algorithms, and Sample Complexity

The paper investigates reinforcement learning in Markov decision processes whose dynamics are perturbed by non‑Markovian external events. It identifies conditions that make the problem tractable by limiting consideration to a finite history of events, and proposes a policy iteration algorithm that learns state‑dependent policies conditioned on this history. The authors provide theoretical guarantees for policy improvement, analyze sample complexity for least‑squares evaluation and improvement, and extend their results to discrete‑time Hawkes processes with Gaussian marks, validating their approach with experiments in control environments.

By Ranga Shaarad Ayyagari, Revanth Raj Eega, Ambedkar Dukkipati