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Mixed-Integer Linear Programming (MILP) is a powerful framework used to address a wide range of NP-hard combinatorial optimization problems, often solved by Branch and Bound (B&B). A key factor influencing the performance of B&B solvers is…

机器学习 · 计算机科学 2025-10-23 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

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…

人工智能 · 计算机科学 2012-02-20 Eunsoo Oh , Kee-Eung Kim

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

数据结构与算法 · 计算机科学 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

A decision process in which rewards depend on history rather than merely on the current state is called a decision process with non-Markovian rewards (NMRDP). In decision-theoretic planning, where many desirable behaviours are more…

人工智能 · 计算机科学 2011-09-13 C. Gretton , F. Kabanza , D. Price , J. Slaney , S. Thiebaux

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

机器学习 · 计算机科学 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

We study the general approach to accelerating the convergence of the most widely used solution method of Markov decision processes with the total expected discounted reward. Inspired by the monotone behavior of the contraction mappings in…

最优化与控制 · 数学 2008-03-28 Oleksandr Shlakhter , Chi-Guhn Lee , Dmitry Khmelev , Nasser Jaber

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

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

计算机科学中的逻辑 · 计算机科学 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova

Markov decision processes (MDP) are useful to model concurrent process optimisation problems, but verifying them with numerical methods is often intractable. Existing approximative approaches do not scale well and are limited to memoryless…

数据结构与算法 · 计算机科学 2014-09-18 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

We study and provide efficient algorithms for multi-objective model checking problems for Markov Decision Processes (MDPs). Given an MDP, M, and given multiple linear-time (\omega -regular or LTL) properties \varphi\_i, and probabilities…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Kousha Etessami , Marta Kwiatkowska , Moshe Y. Vardi , Mihalis Yannakakis

This paper addresses a key limitation in existing counterfactual inference methods for Markov Decision Processes (MDPs). Current approaches assume a specific causal model to make counterfactuals identifiable. However, there are usually many…

人工智能 · 计算机科学 2026-05-25 Jessica Lally , Milad Kazemi , Nicola Paoletti

One of the most widely used methods for solving average cost MDP problems is the value iteration method. This method, however, is often computationally impractical and restricted in size of solvable MDP problems. We propose acceleration…

最优化与控制 · 数学 2008-06-03 Oleksandr Shlakhter , Chi-Guhn Lee

We propose a principled kernel-based policy iteration algorithm to solve the continuous-state Markov Decision Processes (MDPs). In contrast to most decision-theoretic planning frameworks, which assume fully known state transition models, we…

机器人学 · 计算机科学 2020-06-04 Junhong Xu , Kai Yin , Lantao Liu

A labelled Markov decision process is a labelled Markov chain with nondeterminism, i.e., together with a strategy a labelled MDP induces a labelled Markov chain. The model is related to interval Markov chains. Motivated by applications of…

形式语言与自动机理论 · 计算机科学 2020-09-25 Stefan Kiefer , Qiyi Tang

The Information Dynamics Toolkit xl (IDTxl) is a comprehensive software package for efficient inference of networks and their node dynamics from multivariate time series data using information theory. IDTxl provides functionality to…

We introduce a new formulation of the Hidden Parameter Markov Decision Process (HiP-MDP), a framework for modeling families of related tasks using low-dimensional latent embeddings. Our new framework correctly models the joint uncertainty…

机器学习 · 统计学 2017-11-01 Taylor Killian , Samuel Daulton , George Konidaris , Finale Doshi-Velez

We present a method for solving implicit (factored) Markov decision processes (MDPs) with very large state spaces. We introduce a property of state space partitions which we call epsilon-homogeneity. Intuitively, an epsilon-homogeneous…

人工智能 · 计算机科学 2013-02-08 Thomas L. Dean , Robert Givan , Sonia Leach

We study regret minimization in finite horizon tabular Markov decision processes (MDPs) under the constraints of differential privacy (DP). This is motivated by the widespread applications of reinforcement learning (RL) in real-world…

机器学习 · 计算机科学 2021-12-21 Sayak Ray Chowdhury , Xingyu Zhou

Markov decision processes (MDP) are useful to model optimisation problems in concurrent systems. To verify MDPs with efficient Monte Carlo techniques requires that their nondeterminism be resolved by a scheduler. Recent work has introduced…

数据结构与算法 · 计算机科学 2016-11-15 Pedro D'Argenio , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Contextual Markov decision processes (CMDPs) describe a class of reinforcement learning problems in which the transition kernels and reward functions can change over time with different MDPs indexed by a context variable. While CMDPs serve…

机器学习 · 计算机科学 2024-02-06 Junze Deng , Yuan Cheng , Shaofeng Zou , Yingbin Liang