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We study a posterior sampling approach to efficient exploration in constrained reinforcement learning. Alternatively to existing algorithms, we propose two simple algorithms that are more efficient statistically, simpler to implement and…

Machine Learning · Computer Science 2022-09-09 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

Markov decision processes (MDPs) are widely used in modeling decision making problems in stochastic environments. However, precise specification of the reward functions in MDPs is often very difficult. Recent approaches have focused on…

Artificial Intelligence · Computer Science 2012-02-20 Eunsoo Oh , Kee-Eung Kim

While POMDPs provide a general platform for non-deterministic conditional planning under a variety of quality metrics they have limited scalability. On the other hand, non-deterministic conditional planners scale very well, but many lack…

Artificial Intelligence · Computer Science 2012-07-09 Daniel Bryce , Subbarao Kambhampati

We consider partially observable Markov decision processes (POMDPs) with limit-average payoff, where a reward value in the interval [0,1] is associated to every transition, and the payoff of an infinite path is the long-run average of the…

Artificial Intelligence · Computer Science 2014-08-12 Krishnendu Chatterjee , Martin Chmelik

Recently, there has been significant progress in understanding reinforcement learning in discounted infinite-horizon Markov decision processes (MDPs) by deriving tight sample complexity bounds. However, in many real-world applications, an…

Machine Learning · Statistics 2016-05-12 Christoph Dann , Emma Brunskill

Online decision making under uncertainty in partially observable domains, also known as Belief Space Planning, is a fundamental problem in robotics and Artificial Intelligence. Due to an abundance of plausible future unravelings,…

Artificial Intelligence · Computer Science 2023-02-15 Andrey Zhitnikov , Vadim Indelman

We propose a new approach to the problem of searching a space of policies for a Markov decision process (MDP) or a partially observable Markov decision process (POMDP), given a model. Our approach is based on the following observation: Any…

Artificial Intelligence · Computer Science 2013-01-18 Andrew Y. Ng , Michael I. Jordan

We study reinforcement learning in infinite-horizon average-reward settings with linear MDPs. Previous work addresses this problem by approximating the average-reward setting by discounted setting and employing a value iteration-based…

Machine Learning · Computer Science 2025-04-17 Kihyuk Hong , Ambuj Tewari

Decision diagrams (DDs) have emerged as a state-of-the-art method for exact multiobjective integer linear programming. When the DD is too large to fit into memory or the decision-maker prefers a fast approximation to the Pareto frontier,…

Artificial Intelligence · Computer Science 2026-03-20 Rahul Patel , Elias B. Khalil , David Bergman

The selection of features that are relevant for a prediction or classification problem is an important problem in many domains involving high-dimensional data. Selecting features helps fighting the curse of dimensionality, improving the…

Machine Learning · Computer Science 2009-09-04 Michel Verleysen , Fabrice Rossi , Damien François

Real-time heuristic search algorithms are suitable for situated agents that need to make their decisions in constant time. Since the original work by Korf nearly two decades ago, numerous extensions have been suggested. One of the most…

Artificial Intelligence · Computer Science 2009-12-17 Valeriy K. Bulitko , Vadim Bulitko

Real-world sequential decision making problems commonly involve partial observability, which requires the agent to maintain a memory of history in order to infer the latent states, plan and make good decisions. Coping with partial…

Machine Learning · Computer Science 2022-02-09 Yonathan Efroni , Chi Jin , Akshay Krishnamurthy , Sobhan Miryoosefi

Potential heuristics for state-space search are defined as weighted sums over simple state features. Atomic features consider the value of a single state variable in a factored state representation, while binary features consider joint…

Artificial Intelligence · Computer Science 2019-09-27 Florian Pommerening , Malte Helmert , Blai Bonet

We study the policy testing problem in discounted Markov decision processes (MDPs) in the fixed-confidence setting under a generative model with static sampling. The goal is to decide whether the value of a given policy exceeds a specified…

Machine Learning · Statistics 2026-04-21 Kaito Ariu , Po-An Wang , Alexandre Proutiere , Kenshi Abe

Partially observable Markov decision processes (POMDPs) are a fundamental model for sequential decision-making under uncertainty. However, many verification and synthesis problems for POMDPs are undecidable or intractable. Most prominently,…

Artificial Intelligence · Computer Science 2026-04-23 Nathanaël Fijalkow , Arka Ghosh , Roman Kniazev , Guillermo A. Pérez , Pierre Vandenhove

We consider the task of opportunistic channel access in a primary system composed of independent Gilbert-Elliot channels where the secondary (or opportunistic) user does not dispose of a priori information regarding the statistical…

Machine Learning · Statistics 2009-08-04 Sarah Filippi , Olivier Cappé , Aurélien Garivier

Partially observable Markov decision processes (POMDPs) provide a modeling framework for a variety of sequential decision making under uncertainty scenarios in artificial intelligence (AI). Since the states are not directly observable in a…

Systems and Control · Computer Science 2019-05-21 Mohamadreza Ahmadi , Nils Jansen , Bo Wu , Ufuk Topcu

In this paper we address the solution of the popular Wordle puzzle, using new reinforcement learning methods, which apply more generally to adaptive control of dynamic systems and to classes of Partially Observable Markov Decision Process…

Artificial Intelligence · Computer Science 2022-12-01 Siddhant Bhambri , Amrita Bhattacharjee , Dimitri Bertsekas

We propose a new approach to value-directed belief state approximation for POMDPs. The value-directed model allows one to choose approximation methods for belief state monitoring that have a small impact on decision quality. Using a vector…

Artificial Intelligence · Computer Science 2013-01-14 Pascal Poupart , Craig Boutilier
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