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Over the recent years, reinforcement learning (RL) starts to show promising results in tackling combinatorial optimization (CO) problems, in particular when coupled with curriculum learning to facilitate training. Despite emerging empirical…

Machine Learning · Computer Science 2023-11-07 Runlong Zhou , Zelin He , Yuandong Tian , Yi Wu , Simon S. Du

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

Optimization and Control · Mathematics 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

State-of-the-art Mixed Integer Linear Program (MILP) solvers combine systematic tree search with a plethora of hard-coded heuristics, such as the branching rule. The idea of learning branching rules from data has received increasing…

Machine Learning · Computer Science 2022-10-14 Lara Scavuzzo , Feng Yang Chen , Didier Chételat , Maxime Gasse , Andrea Lodi , Neil Yorke-Smith , Karen Aardal

In this paper, we describe a comprehensive algorithmic framework for solving mixed integer bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut approach. The framework presented merges features from existing…

Optimization and Control · Mathematics 2021-04-20 Sahar Tahernejad , Ted K. Ralphs , Scott T. DeNegre

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

Artificial Intelligence · Computer Science 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

Reinforcement learning has gained wide popularity as a technique for simulation-driven approximate dynamic programming. A less known aspect is that the very reasons that make it effective in dynamic programming can also be leveraged for…

Machine Learning · Computer Science 2013-11-13 Vivek S. Borkar , Adwaitvedant S. Mathkar

Reinforcement learning has driven impressive advances in machine learning. Simultaneously, quantum-enhanced machine learning algorithms using quantum annealing underlie heavy developments. Recently, a multi-agent reinforcement learning…

Artificial Intelligence · Computer Science 2021-11-23 Tobias Müller , Christoph Roch , Kyrill Schmid , Philipp Altmann

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

Compared to classical deep neural networks its binarized versions can be useful for applications on resource-limited devices due to their reduction in memory consumption and computational demands. In this work we study deep neural networks…

Optimization and Control · Mathematics 2021-10-26 Jannis Kurtz , Bubacarr Bah

In this article, we introduce the concept of discounted pseudocosts, inspired by discounted total reward in reinforcement learning, and explore their application in mixed-integer linear programming (MILP). Traditional pseudocosts estimate…

Artificial Intelligence · Computer Science 2024-07-10 Krunal Kishor Patel

This paper proposes a reinforcement learning-based method for microservice resource scheduling and optimization, aiming to address issues such as uneven resource allocation, high latency, and insufficient throughput in traditional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-18 Yujun Zou , Nia Qi , Yingnan Deng , Zhihao Xue , Ming Gong , Wuyang Zhang

By planning through a learned dynamics model, model-based reinforcement learning (MBRL) offers the prospect of good performance with little environment interaction. However, it is common in practice for the learned model to be inaccurate,…

Machine Learning · Computer Science 2021-03-31 Behzad Haghgoo , Allan Zhou , Archit Sharma , Chelsea Finn

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

Nowadays, fast delivery services have created the need for high-density warehouses. The puzzle-based storage system is a practical way to enhance the storage density, however, facing difficulties in the retrieval process. In this work, a…

Machine Learning · Computer Science 2022-02-09 Jing He , Xinglu Liu , Qiyao Duan , Wai Kin Victor Chan , Mingyao Qi

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

In learning-to-learn the goal is to infer a learning algorithm that works well on a class of tasks sampled from an unknown meta distribution. In contrast to previous work on batch learning-to-learn, we consider a scenario where tasks are…

Machine Learning · Statistics 2018-03-23 Giulia Denevi , Carlo Ciliberto , Dimitris Stamos , Massimiliano Pontil

The information bottleneck principle is an elegant and useful approach to representation learning. In this paper, we investigate the problem of representation learning in the context of reinforcement learning using the information…

Machine Learning · Computer Science 2019-11-14 Pei Yingjun , Hou Xinwen

In agent control issues, the idea of combining reinforcement learning and planning has attracted much attention. Two methods focus on micro and macro action respectively. Their advantages would show together if there is a good cooperation…

Artificial Intelligence · Computer Science 2020-03-20 Xuerun Chen

Bimodal, stochastic environments present a challenge to typical Reinforcement Learning problems. This problem is one that is surprisingly common in real world applications, being particularly applicable to pricing problems. In this paper we…

Machine Learning · Computer Science 2023-07-04 E. Hurwitz , N. Peace , G. Cevora