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Traditional reinforcement learning (RL) assumes the agents make decisions based on Markov decision processes (MDPs) with one-step transition models. In many real-world applications, such as energy management and stock investment, agents can…

机器学习 · 计算机科学 2025-10-22 Chenbei Lu , Zaiwei Chen , Tongxin Li , Chenye Wu , Adam Wierman

Markov decision processes (MDPs) are a standard model for sequential decision-making problems and are widely used across many scientific areas, including formal methods and artificial intelligence (AI). MDPs do, however, come with the…

人工智能 · 计算机科学 2024-12-11 Marnix Suilen , Thom Badings , Eline M. Bovy , David Parker , Nils Jansen

Markov decision processes (MDPs) are the defacto frame-work for sequential decision making in the presence ofstochastic uncertainty. A classical optimization criterion forMDPs is to maximize the expected discounted-sum pay-off, which…

人工智能 · 计算机科学 2020-02-28 Tomas Brazdil , Krishnendu Chatterjee , Petr Novotny , Jiri Vahala

We study a class of multi-stage stochastic programs, which incorporate modeling features from Markov decision processes (MDPs). This class includes structured MDPs with continuous action and state spaces. We extend policy graphs to include…

机器学习 · 计算机科学 2026-04-09 David P. Morton , Oscar Dowson , Bernardo K. Pagnoncelli

The Markov decision process (MDP) formulation used to model many real-world sequential decision making problems does not efficiently capture the setting where the set of available decisions (actions) at each time step is stochastic.…

机器学习 · 计算机科学 2020-01-22 Yash Chandak , Georgios Theocharous , Blossom Metevier , Philip S. Thomas

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2021-10-14 Esther Derman , Matthieu Geist , Shie Mannor

A novel reinforcement learning scheme to synthesize policies for continuous-space Markov decision processes (MDPs) is proposed. This scheme enables one to apply model-free, off-the-shelf reinforcement learning algorithms for finite MDPs to…

系统与控制 · 电气工程与系统科学 2020-03-03 Abolfazl Lavaei , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

General-purpose, intelligent, learning agents cycle through sequences of observations, actions, and rewards that are complex, uncertain, unknown, and non-Markovian. On the other hand, reinforcement learning is well-developed for small…

机器学习 · 计算机科学 2009-12-30 Marcus Hutter

We introduce Multi-Environment Markov Decision Processes (MEMDPs) which are MDPs with a set of probabilistic transition functions. The goal in a MEMDP is to synthesize a single controller with guaranteed performances against all…

计算机科学中的逻辑 · 计算机科学 2014-12-04 Jean-François Raskin , Ocan Sankur

Solving Markov Decision Processes (MDPs) remains a central challenge in sequential decision-making, especially when dealing with large state spaces and long-term optimization criteria. A key step in Bellman dynamic programming algorithms is…

最优化与控制 · 数学 2025-08-04 Youssef Ait El Mahjoub , Jean-Michel Fourneau , Salma Alouah

Safe reinforcement learning (RL) is a promising approach for many real-world decision-making problems where ensuring safety is a critical necessity. In safe RL research, while expected cumulative safety constraints (ECSCs) are typically the…

机器学习 · 计算机科学 2024-10-10 Xun Shen , Shuo Jiang , Akifumi Wachi , Kaumune Hashimoto , Sebastien Gros

A Budgeted Markov Decision Process (BMDP) is an extension of a Markov Decision Process to critical applications requiring safety constraints. It relies on a notion of risk implemented in the shape of a cost signal constrained to lie below…

Reinforcement learning (RL) approaches based on Markov Decision Processes (MDPs) are predominantly applied in the robot joint space, often relying on limited task-specific information and partial awareness of the 3D environment. In…

机器人学 · 计算机科学 2026-03-09 Bingkun Huang , Yuhe Gong , Zewen Yang , Tianyu Ren , Luis Figueredo

We consider problems in sequential decision making with natural multi-level structure, where sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure has remained a…

机器学习 · 计算机科学 2026-03-11 Sichen Yang , Mauro Maggioni

Multi-agent planning under stochastic dynamics is usually formalised using decentralized (partially observable) Markov decision processes ( MDPs) and reachability or expected reward specifications. In this paper, we propose a different…

计算机科学中的逻辑 · 计算机科学 2025-02-20 Francesco Pontiggia , Filip Macák , Roman Andriushchenko , Michele Chiari , Milan Češka

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2023-03-14 Esther Derman , Yevgeniy Men , Matthieu Geist , Shie Mannor

We study reinforcement learning for the optimal control of Branching Markov Decision Processes (BMDPs), a natural extension of (multitype) Branching Markov Chains (BMCs). The state of a (discrete-time) BMCs is a collection of entities of…

机器学习 · 计算机科学 2021-06-15 Ernst Moritz Hahn , Mateo Perez , Sven Schewe , Fabio Somenzi , Ashutosh Trivedi , Dominik Wojtczak

We develop an exhaustive study of Markov decision process (MDP) under mean field interaction both on states and actions in the presence of common noise, and when optimization is performed over open-loop controls on infinite horizon. Such…

最优化与控制 · 数学 2021-09-10 Médéric Motte , Huyên Pham

Model-based reinforcement learning is an appealing framework for creating agents that learn, plan, and act in sequential environments. Model-based algorithms typically involve learning a transition model that takes a state and an action and…

机器学习 · 计算机科学 2019-06-03 Kavosh Asadi , Dipendra Misra , Seungchan Kim , Michel L. Littman

The curse of dimensionality is a widely known issue in reinforcement learning (RL). In the tabular setting where the state space $\mathcal{S}$ and the action space $\mathcal{A}$ are both finite, to obtain a nearly optimal policy with…

机器学习 · 计算机科学 2022-10-28 Bingyan Wang , Yuling Yan , Jianqing Fan