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Most reinforcement learning algorithms are based on a key assumption that Markov decision processes (MDPs) are stationary. However, non-stationary MDPs with dynamic action space are omnipresent in real-world scenarios. Yet problems of…

机器学习 · 计算机科学 2023-04-04 Jiaqi Ye , Xiaodong Li , Pangjing Wu , Feng Wang

Optimally solving decentralized decision-making problems modeled as Dec-POMDPs is known to be NEXP-complete. These optimal solutions are policies based on the entire history of observations and actions of an agent. However, some…

多智能体系统 · 计算机科学 2026-04-13 Amit Sinha , Matthieu Geist , Aditya Mahajan

Non-stationary domains, where unforeseen changes happen, present a challenge for agents to find an optimal policy for a sequential decision making problem. This work investigates a solution to this problem that combines Markov Decision…

人工智能 · 计算机科学 2017-05-04 Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Paulo E. Santos , Ramon Lopez de Mantaras

The maximum reachability probabilities in a Markov decision process can be computed using value iteration (VI). Recently, simulation-based heuristic extensions of VI have been introduced, such as bounded real-time dynamic programming…

计算机科学中的逻辑 · 计算机科学 2018-09-11 Pranav Ashok , Tomáš Brázdil , Jan Křetínský , Ondřej Slámečka

In this work, we consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of infinite-horizon discounted cost Markov Decision Process (MDP). While…

机器学习 · 统计学 2020-01-14 Devavrat Shah , Qiaomin Xie , Zhi Xu

Interpretability of AI models allows for user safety checks to build trust in such AIs. In particular, Decision Trees (DTs) provide a global look at the learned model and transparently reveal which features of the input are critical for…

机器学习 · 计算机科学 2024-01-23 Hector Kohler , Riad Akrour , Philippe Preux

We cast episodic Markov decision process (MDP) planning as Bayesian inference over policies. A policy is treated as the latent variable and is assigned an unnormalized probability of optimality that is monotone in its expected return,…

机器学习 · 计算机科学 2026-04-14 David Tolpin

This work presents a stochastic dynamic programming (SDP) algorithm that aims at minimizing an economic criteria based on the total energy consumption of a range extender electric vehicle (REEV). This algorithm integrates information from…

最优化与控制 · 数学 2016-11-18 K. Aouchiche , J. Frederic Bonnans , Giovanni Granato , Hasnaa Zidani

In this paper, we study Markov Decision Processes (MDPs) with self-triggered strategies, where the idea of self-triggered control is extended to more generic MDP models. This extension broadens the application of self-triggering policies to…

系统与控制 · 电气工程与系统科学 2021-02-18 Yunhan Huang , Quanyan Zhu

We propose and study a general framework for regularized Markov decision processes (MDPs) where the goal is to find an optimal policy that maximizes the expected discounted total reward plus a policy regularization term. The extant…

机器学习 · 统计学 2019-10-22 Xiang Li , Wenhao Yang , Zhihua Zhang

We investigate the problem of serving deferrable and nondeferrable electric demands with colocated stochastic supply and grid-imported electricity. Deferrable demands arrive randomly and can be delayed within their service deadlines.…

系统与控制 · 电气工程与系统科学 2026-05-05 Minjae Jeon , Lang Tong , Qing Zhao

Monte Carlo Tree Search (MCTS), most famously used in game-play artificial intelligence (e.g., the game of Go), is a well-known strategy for constructing approximate solutions to sequential decision problems. Its primary innovation is the…

最优化与控制 · 数学 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

Recent advances in reasoning with large language models (LLMs) have shown the effectiveness of Monte Carlo Tree Search (MCTS) for generating high quality intermediate trajectories, particularly in math and symbolic domains. Inspired by…

人工智能 · 计算机科学 2025-12-23 Bingning Huang , Tu Nguyen , Matthieu Zimmer

Markov Decision Problems (MDPs) provide a foundational framework for modelling sequential decision-making across diverse domains, guided by optimality criteria such as discounted and average rewards. However, these criteria have inherent…

人工智能 · 计算机科学 2025-08-26 Dibyangshu Mukherjee , Shivaram Kalyanakrishnan

We study computationally and statistically efficient reinforcement learning under the linear $Q^{\pi}$ realizability assumption, where any policy's $Q$-function is linear in a given state-action feature representation. Prior methods in this…

机器学习 · 计算机科学 2026-03-03 Yijing Ke , Zihan Zhang , Ruosong Wang

We present the first model-free Reinforcement Learning (RL) algorithm to synthesise policies for an unknown Markov Decision Process (MDP), such that a linear time property is satisfied. The given temporal property is converted into a Limit…

机器学习 · 计算机科学 2019-02-19 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Analysis of Markov Decision Processes (MDP) is often hindered by state space explosion. Abstraction is a well-established technique in model checking to mitigate this issue. This paper presents a novel lazy abstraction method for MDP…

计算机科学中的逻辑 · 计算机科学 2024-06-04 Dániel Szekeres , Kristóf Marussy , István Majzik

Leveraging planning during learning and decision-making is central to the long-term development of intelligent agents. Recent works have successfully combined tree-based search methods and self-play learning mechanisms to this end. However,…

人工智能 · 计算机科学 2024-11-01 Matthew V Macfarlane , Edan Toledo , Donal Byrne , Paul Duckworth , Alexandre Laterre

We consider qualitative strategy synthesis for the formalism called consumption Markov decision processes. This formalism can model dynamics of an agents that operates under resource constraints in a stochastic environment. The presented…

人工智能 · 计算机科学 2021-05-06 František Blahoudek , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

Decision-making policies for agents are often synthesized with the constraint that a formal specification of behaviour is satisfied. Here we focus on infinite-horizon properties. On the one hand, Linear Temporal Logic (LTL) is a popular…

人工智能 · 计算机科学 2021-06-01 Jan Křetínský
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