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We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

Machine Learning · Computer Science 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

Online planning in continuous state, action, and observation spaces remains challenging for autonomous systems. While Monte Carlo Tree Search (MCTS) scales effectively via sampling, most continuous (PO)MDP solvers do not exploit…

Artificial Intelligence · Computer Science 2026-05-19 Idan Lev-Yehudi , Michael Novitsky , Moran Barenboim , Ron Benchetrit , Vadim Indelman

We introduce an approach aimed at enhancing the reasoning capabilities of Large Language Models (LLMs) through an iterative preference learning process inspired by the successful strategy employed by AlphaZero. Our work leverages Monte…

Artificial Intelligence · Computer Science 2024-06-19 Yuxi Xie , Anirudh Goyal , Wenyue Zheng , Min-Yen Kan , Timothy P. Lillicrap , Kenji Kawaguchi , Michael Shieh

This work introduces a novel deep learning-based architecture, termed the Deep Belief Markov Model (DBMM), which provides efficient, model-formulation agnostic inference in Partially Observable Markov Decision Process (POMDP) problems. The…

Machine Learning · Computer Science 2025-03-18 Giacomo Arcieri , Konstantinos G. Papakonstantinou , Daniel Straub , Eleni Chatzi

We investigate improving Monte Carlo Tree Search based solvers for Partially Observable Markov Decision Processes (POMDPs), when applied to adaptive sampling problems. We propose improvements in rollout allocation, the action exploration…

Robotics · Computer Science 2021-09-27 Gautam Salhotra , Christopher E. Denniston , David A. Caron , Gaurav S. Sukhatme

Recent benchmarks for memory-augmented reinforcement learning (RL) have introduced partially observable Markov decision process (POMDP) environments in which agents must use historical observations to make decisions. However, these…

Artificial Intelligence · Computer Science 2026-04-15 Yongyi Wang , Lingfeng Li , Bozhou Chen , Ang Li , Hanyu Liu , Qirui Zheng , Xionghui Yang , Wenxin Li

Constrained Markov Decision Process (CMDP) is a natural framework for reinforcement learning tasks with safety constraints, where agents learn a policy that maximizes the long-term reward while satisfying the constraints on the long-term…

Artificial Intelligence · Computer Science 2018-02-20 Qingkai Liang , Fanyu Que , Eytan Modiano

Partially Observable Markov Decision Processes (POMDPs) provide a rich framework for sequential decision-making under uncertainty in stochastic domains. However, solving a POMDP is often intractable except for small problems due to their…

Artificial Intelligence · Computer Science 2014-01-16 Stéphane Ross , Joelle Pineau , Sébastien Paquet , Brahim Chaib-draa

We present a technique for speeding up the convergence of value iteration for partially observable Markov decisions processes (POMDPs). The underlying idea is similar to that behind modified policy iteration for fully observable Markov…

Artificial Intelligence · Computer Science 2013-01-30 Nevin Lianwen Zhang , Stephen S. Lee , Weihong Zhang

Value iteration is a well-known method of solving Markov Decision Processes (MDPs) that is simple to implement and boasts strong theoretical convergence guarantees. However, the computational cost of value iteration quickly becomes…

Machine Learning · Computer Science 2021-07-26 Guanting Chen , Johann Demetrio Gaebler , Matt Peng , Chunlin Sun , Yinyu Ye

We study the sample complexity of the plug-in approach for learning $\varepsilon$-optimal policies in average-reward Markov decision processes (MDPs) with a generative model. The plug-in approach constructs a model estimate then computes an…

Machine Learning · Computer Science 2025-02-12 Matthew Zurek , Yudong Chen

The possibility of errors in human-engineered formal verification software, such as model checkers, poses a serious threat to the purpose of these tools. An established approach to mitigate this problem are certificates -- lightweight,…

Logic in Computer Science · Computer Science 2025-01-22 Krishnendu Chatterjee , Tim Quatmann , Maximilian Schäffeler , Maximilian Weininger , Tobias Winkler , Daniel Zilken

We propose a new point-based method for approximate planning in Dec-POMDP which outperforms the state-of-the-art approaches in terms of solution quality. It uses a heuristic estimation of the prior probability of beliefs to choose a bounded…

Artificial Intelligence · Computer Science 2012-03-19 Gabriel Corona , Francois Charpillet

Solving continuous Partially Observable Markov Decision Processes (POMDPs) is challenging, particularly for high-dimensional continuous action spaces. To alleviate this difficulty, we propose a new sampling-based online POMDP solver, called…

Artificial Intelligence · Computer Science 2023-02-22 Marcus Hoerger , Hanna Kurniawati , Dirk Kroese , Nan Ye

Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities into account. Robust Markov decision processes (RMDPs) address…

Artificial Intelligence · Computer Science 2024-05-01 Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Mehrdad Karrabi , Petr Novotný , Đorđe Žikelić

Planning under partial obervability is essential for autonomous robots. A principled way to address such planning problems is the Partially Observable Markov Decision Process (POMDP). Although solving POMDPs is computationally intractable,…

Artificial Intelligence · Computer Science 2020-11-05 Marcus Hoerger , Hanna Kurniawati

Tree-of-Thought (ToT) reasoning structures Large Language Model (LLM) inference as a tree-based search, demonstrating strong potential for solving complex mathematical and programming tasks. However, its efficiency is constrained by the…

Machine Learning · Computer Science 2026-05-15 Shuzhang Zhong , Haochen Huang , Shengxuan Qiu , Pengfei Zuo , Runsheng Wang , Meng Li

Partially Observable Markov Decision Processes (POMDPs) are a powerful framework for planning under uncertainty. They allow to model state uncertainty as a belief probability distribution. Approximate solvers based on Monte Carlo sampling…

Artificial Intelligence · Computer Science 2024-03-01 Daniele Meli , Alberto Castellini , Alessandro Farinelli

As Large Language Models (LLMs) scale up, inference efficiency becomes a critical bottleneck. Multi-Token Prediction (MTP) could accelerate LLM inference by predicting multiple future tokens in parallel. However, existing MTP approaches…

Computation and Language · Computer Science 2026-03-26 Guoliang Zhao , Ruobing Xie , An Wang , Shuaipeng Li , Huaibing Xie , Xingwu Sun

We study countably infinite Markov decision processes (MDPs) with real-valued transition rewards. Every infinite run induces the following sequences of payoffs: 1. Point payoff (the sequence of directly seen transition rewards), 2. Total…

Artificial Intelligence · Computer Science 2021-07-13 Richard Mayr , Eric Munday
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