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We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

Statistics Theory · Mathematics 2021-11-11 Zhengling Qi , Peng Liao

The expressive and computationally inexpensive bipartite Graph Neural Networks (GNN) have been shown to be an important component of deep learning based Mixed-Integer Linear Program (MILP) solvers. Recent works have demonstrated the…

Machine Learning · Computer Science 2023-01-02 Prateek Gupta , Elias B. Khalil , Didier Chetélat , Maxime Gasse , Yoshua Bengio , Andrea Lodi , M. Pawan Kumar

In these notes we will tackle the problem of finding optimal policies for Markov decision processes (MDPs) which are not fully known to us. Our intention is to slowly transition from an offline setting to an online (learning) setting.…

Artificial Intelligence · Computer Science 2022-06-22 Guillermo A. Perez

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…

Optimization and Control · Mathematics 2019-12-09 Ather Gattami

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

Inverse Reinforcement Learning (IRL) describes the problem of learning an unknown reward function of a Markov Decision Process (MDP) from observed behavior of an agent. Since the agent's behavior originates in its policy and MDP policies…

Artificial Intelligence · Computer Science 2016-04-14 Michael Herman , Tobias Gindele , Jörg Wagner , Felix Schmitt , Wolfram Burgard

This paper proposes a multi-agent reinforcement learning based medium access framework for wireless networks. The access problem is formulated as a Markov Decision Process (MDP), and solved using reinforcement learning with every network…

Machine Learning · Computer Science 2021-04-30 Hrishikesh Dutta , Subir Biswas

Efficient branching policies are essential for accelerating Mixed Integer Linear Programming (MILP) solvers. Their design has long relied on hand-crafted heuristics, and now machine learning has emerged as a promising paradigm to automate…

Artificial Intelligence · Computer Science 2026-05-12 Zhinan Hou , Xingchen Li , Yankai Zhang , Tianxun Li , Keyou You

We present a general framework for applying machine-learning algorithms to the verification of Markov decision processes (MDPs). The primary goal of these techniques is to improve performance by avoiding an exhaustive exploration of the…

Despite high reliability, modern power systems with growing renewable penetration face an increasing risk of cascading outages. Real-time cascade mitigation requires fast, complex operational decisions under uncertainty. In this work, we…

Physics and Society · Physics 2025-06-11 Kai Zhou , Youbiao He , Chong Zhong , Yifu Wu

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep learning approaches for MILP focus on…

Machine Learning · Computer Science 2025-02-24 Sirui Li , Janardhan Kulkarni , Ishai Menache , Cathy Wu , Beibin Li

We observe that several existing policy gradient methods (such as vanilla policy gradient, PPO, A2C) may suffer from overly large gradients when the current policy is close to deterministic (even in some very simple environments), leading…

Machine Learning · Computer Science 2019-11-19 Chuheng Zhang , Yuanqi Li , Jian Li

In offline reinforcement learning (RL), the absence of active exploration calls for attention on the model robustness to tackle the sim-to-real gap, where the discrepancy between the simulated and deployed environments can significantly…

Machine Learning · Computer Science 2024-06-28 He Wang , Laixi Shi , Yuejie Chi

Markov decision problems (MDPs) provide the foundations for a number of problems of interest to AI researchers studying automated planning and reinforcement learning. In this paper, we summarize results regarding the complexity of solving…

Artificial Intelligence · Computer Science 2013-02-21 Michael L. Littman , Thomas L. Dean , Leslie Pack Kaelbling

Reasoning is essential for the development of large knowledge graphs, especially for completion, which aims to infer new triples based on existing ones. Both rules and embeddings can be used for knowledge graph reasoning and they have their…

Artificial Intelligence · Computer Science 2019-03-22 Wen Zhang , Bibek Paudel , Liang Wang , Jiaoyan Chen , Hai Zhu , Wei Zhang , Abraham Bernstein , Huajun Chen

Recent advancements have introduced machine learning frameworks to enhance the Branch and Bound (B\&B) branching policies for solving Mixed Integer Linear Programming (MILP). These methods, primarily relying on imitation learning of Strong…

Machine Learning · Computer Science 2024-02-07 Jiacheng Lin , Meng Xu , Zhihua Xiong , Huangang Wang

Model-based learning algorithms have been shown to use experience efficiently when learning to solve Markov Decision Processes (MDPs) with finite state and action spaces. However, their high computational cost due to repeatedly solving an…

Machine Learning · Computer Science 2012-07-02 Alexander L. Strehl , Lihong Li , Michael L. Littman

In traditional statistical learning, data points are usually assumed to be independently and identically distributed (i.i.d.) following an unknown probability distribution. This paper presents a contrasting viewpoint, perceiving data points…

Machine Learning · Computer Science 2025-08-19 Yangchen Pan , Junfeng Wen , Chenjun Xiao , Philip Torr

Markov decision processes (MDPs) provide a fundamental model for sequential decision making under process uncertainty. A classical synthesis task is to compute for a given MDP a winning policy that achieves a desired specification. However,…

Logic in Computer Science · Computer Science 2024-07-18 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…