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Interpretable reinforcement learning policies are essential for high-stakes decision-making, yet optimizing decision tree policies in Markov Decision Processes (MDPs) remains challenging. We propose SPOT, a novel method for computing…

机器学习 · 计算机科学 2025-10-23 Xuyuan Xiong , Pedro Chumpitaz-Flores , Kaixun Hua , Cheng Hua

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

最优化与控制 · 数学 2019-12-09 Ather Gattami

In computer vision, many problems such as image segmentation, pixel labelling, and scene parsing can be formulated as binary quadratic programs (BQPs). For submodular problems, cuts based methods can be employed to efficiently solve…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Peng Wang , Chunhua Shen , Anton van den Hengel , Philip H. S. Torr

We study the computational complexity of central analysis problems for One-Counter Markov Decision Processes (OC-MDPs), a class of finitely-presented, countable-state MDPs. OC-MDPs are equivalent to a controlled extension of (discrete-time)…

计算机科学与博弈论 · 计算机科学 2009-09-11 Tomáš Brázdil , Václav Brožek , Kousha Etessami , Antonín Kučera , Dominik Wojtczak

Probabilistic model checking aims to prove whether a Markov decision process (MDP) satisfies a temporal logic specification. The underlying methods rely on an often unrealistic assumption that the MDP is precisely known. Consequently,…

最优化与控制 · 数学 2021-07-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen , Ufuk Topcu

Recent control algorithms for Markov decision processes (MDPs) have been designed using an implicit analogy with well-established optimization algorithms. In this paper, we adopt the quasi-Newton method (QNM) from convex optimization to…

最优化与控制 · 数学 2026-01-06 Mohammad Amin Sharifi Kolarijani , Peyman Mohajerin Esfahani

In this paper, we consider solving discounted Markov Decision Processes (MDPs) under the constraint that the resulting policy is stabilizing. In practice MDPs are solved based on some form of policy approximation. We will leverage recent…

机器学习 · 计算机科学 2021-02-03 Mario Zanon , Sébastien Gros , Michele Palladino

We consider a class of sequential decision-making problems under uncertainty that can encompass various types of supervised learning concepts. These problems have a completely observed state process and a partially observed modulation…

最优化与控制 · 数学 2021-08-24 R. Reid Bishop , Chelsea C. White

Distributed model predictive control (MPC) has been proven a successful method in regulating the operation of large-scale networks of constrained dynamical systems. This paper is concerned with cooperative distributed MPC in which the…

最优化与控制 · 数学 2021-06-29 Georgios Darivianakis , Angelos Georghiou , John Lygeros

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

人工智能 · 计算机科学 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

Markov decision processes (MDPs) are a canonical model to reason about decision making within a stochastic environment. We study a fundamental class of infinite MDPs: one-counter MDPs (OC-MDPs). They extend finite MDPs via an associated…

计算机科学与博弈论 · 计算机科学 2025-03-04 Michal Ajdarów , James C. A. Main , Petr Novotný , Mickael Randour

We consider non-standard Markov Decision Processes (MDPs) where the target function is not only a simple expectation of the accumulated reward. Instead, we consider rather general functionals of the joint distribution of terminal state and…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Tamara Göll , Anna Jaśkiewicz

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

系统与控制 · 计算机科学 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala

The importance of hierarchically structured representations for tractable planning has long been acknowledged. However, the questions of how people discover such abstractions and how to define a set of optimal abstractions remain open. This…

人工智能 · 计算机科学 2018-07-20 Sophia Sanborn , David D. Bourgin , Michael Chang , Thomas L. Griffiths

Machine Learning (ML) can help solve combinatorial optimization (CO) problems better. A popular approach is to use a neural net to compute on the parameters of a given CO problem and extract useful information that guides the search for…

机器学习 · 计算机科学 2021-10-27 Yeong-Dae Kwon , Jinho Choo , Iljoo Yoon , Minah Park , Duwon Park , Youngjune Gwon

This paper studies a finite-horizon Markov decision problem with information-theoretic constraints, where the goal is to minimize directed information from the controlled source process to the control process, subject to stage-wise cost…

系统与控制 · 电气工程与系统科学 2025-09-04 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

We study policy optimization in an infinite horizon, $\gamma$-discounted constrained Markov decision process (CMDP). Our objective is to return a policy that achieves large expected reward with a small constraint violation. We consider the…

机器学习 · 计算机科学 2022-04-12 Arushi Jain , Sharan Vaswani , Reza Babanezhad , Csaba Szepesvari , Doina Precup

Algorithms developed under stationary Markov Decision Processes (MDPs) often face challenges in non-stationary environments, and infinite-horizon formulations may not directly apply to finite-horizon tasks. To address these limitations, we…

机器学习 · 计算机科学 2025-12-03 Zhizuo Chen , Theodore T. Allen

We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of…

最优化与控制 · 数学 2012-06-21 William B. Haskell , Rahul Jain

Bayesian optimization (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

机器学习 · 计算机科学 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger