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We investigate the classical active pure exploration problem in Markov Decision Processes, where the agent sequentially selects actions and, from the resulting system trajectory, aims at identifying the best policy as fast as possible. We…

Machine Learning · Statistics 2021-10-26 Aymen Al Marjani , Aurélien Garivier , Alexandre Proutiere

We develop a method for computing policies in Markov decision processes with risk-sensitive measures subject to temporal logic constraints. Specifically, we use a particular risk-sensitive measure from cumulative prospect theory, which has…

Artificial Intelligence · Computer Science 2020-04-21 Murat Cubuktepe , Ufuk Topcu

We propose a formulation of the stochastic cutting stock problem as a discounted infinite-horizon Markov decision process. At each decision epoch, given current inventory of items, an agent chooses in which patterns to cut objects in stock…

Optimization and Control · Mathematics 2022-06-29 Anselmo R. Pitombeira-Neto , Arthur H. Fonseca Murta

While reinforcement learning algorithms provide automated acquisition of optimal policies, practical application of such methods requires a number of design decisions, such as manually designing reward functions that not only define the…

Machine Learning · Computer Science 2022-12-29 Tim G. J. Rudner , Vitchyr H. Pong , Rowan McAllister , Yarin Gal , Sergey Levine

We study reinforcement learning from human feedback in general Markov decision processes, where agents learn from trajectory-level preference comparisons. A central challenge in this setting is to design algorithms that select informative…

Machine Learning · Computer Science 2025-12-05 Andreas Schlaginhaufen , Reda Ouhamma , Maryam Kamgarpour

In this work we present a novel approach to hierarchical reinforcement learning for linearly-solvable Markov decision processes. Our approach assumes that the state space is partitioned, and the subtasks consist in moving between the…

Machine Learning · Computer Science 2024-06-04 Guillermo Infante , Anders Jonsson , Vicenç Gómez

New approaches to the theory of dynamic programming view dynamic programs as families of policy operators acting on partially ordered sets. In this paper, we extend these ideas by shifting from arbitrary partially ordered sets to ordered…

Optimization and Control · Mathematics 2026-02-02 Nisha Peng , John Stachurski

General purpose intelligent learning agents cycle through (complex,non-MDP) sequences of observations, actions, and rewards. On the other hand, reinforcement learning is well-developed for small finite state Markov Decision Processes…

Artificial Intelligence · Computer Science 2009-12-30 Marcus Hutter

This paper has been withdrawn by the authors. We present a framework for sequential decision making in problems described by graphical models. The setting is given by dependent discrete random variables with associated costs or revenues. In…

Applications · Statistics 2013-07-01 Gabriele Martinelli , Jo Eidsvik , Ragnar Hauge

An algorithmic decision-maker incentivizes people to act in certain ways to receive better decisions. These incentives can dramatically influence subjects' behaviors and lives, and it is important that both decision-makers and…

Machine Learning · Computer Science 2019-10-15 Yonadav Shavit , William S. Moses

Logical formalisms provide a natural and concise means for specifying and reasoning about preferences. In this paper, we propose lexicographic logic, an extension of classical propositional logic that can express a variety of preferences,…

Artificial Intelligence · Computer Science 2020-12-22 Angelos Charalambidis , Giorgos Papadimitriou , Panos Rondogiannis , Antonis Troumpoukis

Evaluating the causal impacts of possible interventions is crucial for informing decision-making, especially towards improving access to opportunity. However, if causal effects are heterogeneous and predictable from covariates, personalized…

Machine Learning · Computer Science 2024-04-30 Ezinne Nwankwo , Michael I. Jordan , Angela Zhou

In reinforcement learning, agents often learn policies for specific tasks without the ability to generalize this knowledge to related tasks. This paper introduces an algorithm that attempts to address this limitation by decomposing neural…

Machine Learning · Computer Science 2024-10-16 Mahdi Alikhasi , Levi H. S. Lelis

Despite the advances in probabilistic model checking, the scalability of the verification methods remains limited. In particular, the state space often becomes extremely large when instantiating parameterized Markov decision processes…

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

Optimization and Control · Mathematics 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

Intelligent systems based on first-order logic on the one hand, and on artificial neural networks (also called connectionist systems) on the other, differ substantially. It would be very desirable to combine the robust neural networking…

Artificial Intelligence · Computer Science 2007-05-23 Sebastian Bader , Pascal Hitzler , Steffen Hoelldobler

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Using the tools of the Markov Decision Processes, we justify the dynamic programming approach to the optimal impulse control of deterministic dynamical systems. We prove the equivalence of the integral and differential forms of the…

Optimization and Control · Mathematics 2019-08-06 Alexey Piunovskiy , Alexander Plakhov , Delfim F. M. Torres , Yi Zhang

Much of the recent success of deep reinforcement learning has been driven by regularized policy optimization (RPO) algorithms with strong performance across multiple domains. In this family of methods, agents are trained to maximize…

Machine Learning · Computer Science 2022-03-24 Ted Moskovitz , Michael Arbel , Jack Parker-Holder , Aldo Pacchiano

The purpose of this paper is to introduce a notion of causality in Markov decision processes based on the probability-raising principle and to analyze its algorithmic properties. The latter includes algorithms for checking cause-effect…

Logic in Computer Science · Computer Science 2022-01-24 Christel Baier , Florian Funke , Jakob Piribauer , Robin Ziemek