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Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

Machine Learning · Computer Science 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

As a pivotal component to attaining generalizable solutions in human intelligence, reasoning provides great potential for reinforcement learning (RL) agents' generalization towards varied goals by summarizing part-to-whole arguments and…

Machine Learning · Computer Science 2023-05-18 Wenhao Ding , Haohong Lin , Bo Li , Ding Zhao

In recent years, there has been a growing interest in using learning-based approaches for solving combinatorial problems, either in an end-to-end manner or in conjunction with traditional optimization algorithms. In both scenarios, the…

Machine Learning · Computer Science 2024-03-14 Léo Boisvert , Hélène Verhaeghe , Quentin Cappart

Goal-conditioned reinforcement learning (GCRL), related to a set of complex RL problems, trains an agent to achieve different goals under particular scenarios. Compared to the standard RL solutions that learn a policy solely depending on…

Artificial Intelligence · Computer Science 2022-09-05 Minghuan Liu , Menghui Zhu , Weinan Zhang

Neural Combinatorial Optimization aims to learn to solve a class of combinatorial problems through data-driven methods and notably through employing neural networks by learning the underlying distribution of problem instances. While, so far…

Machine Learning · Computer Science 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

Machine learning approaches for solving partial differential equations require learning mappings between function spaces. While convolutional or graph neural networks are constrained to discretized functions, neural operators present a…

Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields. Recently, solving CO problems on graphs through learning methods has attracted great attention.…

Artificial Intelligence · Computer Science 2023-12-20 Ruibin Zeng , Minglong Lei , Lingfeng Niu , Lan Cheng

The generalized outcome-adaptive lasso (GOAL) is a variable selection for high-dimensional causal inference proposed by Bald\'e et al. [2023, {\em Biometrics} {\bfseries 79(1)}, 514--520]. When the dimension is high, it is now well…

Statistics Theory · Mathematics 2024-06-11 Ismaila Baldé

Active learning (AL) aims to improve model performance within a fixed labeling budget by choosing the most informative data points to label. Existing AL focuses on the single-domain setting, where all data come from the same domain (e.g.,…

Machine Learning · Computer Science 2024-02-12 Guang-Yuan Hao , Hengguan Huang , Haotian Wang , Jie Gao , Hao Wang

Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many-objective problems is often a difficult…

Artificial Intelligence · Computer Science 2025-08-13 Rodrigo Lankaites Pinheiro , Dario Landa-Silva , Wasakorn Laesanklang , Ademir Aparecido Constantino

Graph-structured data is ubiquitous throughout natural and social sciences, and Graph Neural Networks (GNNs) have recently been shown to be effective at solving prediction and inference problems on graph data. In this paper, we propose and…

Machine Learning · Computer Science 2024-01-12 Victoria M. Dax , Jiachen Li , Kevin Leahy , Mykel J. Kochenderfer

The ability to plan actions on multiple levels of abstraction enables intelligent agents to solve complex tasks effectively. However, learning the models for both low and high-level planning from demonstrations has proven challenging,…

Artificial Intelligence · Computer Science 2023-05-30 Kalle Kujanpää , Joni Pajarinen , Alexander Ilin

Although humans live in an open-ended world and endlessly face new challenges, they do not have to learn from scratch each time they face the next one. Rather, they have access to a handful of previously learned skills, which they rapidly…

Artificial Intelligence · Computer Science 2022-07-21 Ahmed Akakzia , Olivier Sigaud

Many complex problems encountered in both production and daily life can be conceptualized as combinatorial optimization problems (COPs) over graphs. Recent years, reinforcement learning (RL) based models have emerged as a promising…

Machine Learning · Computer Science 2024-04-09 Tianle Pu , Changjun Fan , Mutian Shen , Yizhou Lu , Li Zeng , Zohar Nussinov , Chao Chen , Zhong Liu

We consider the problem of how to design large decentralized multi-agent systems (MAS's) in an automated fashion, with little or no hand-tuning. Our approach has each agent run a reinforcement learning algorithm. This converts the problem…

Multiagent Systems · Computer Science 2007-05-23 David H. Wolpert , Kevin R. Wheeler , Kagan Tumer

A goal-conditioned reinforcement learning agent exploring an environment will see a wealth of information throughout a trajectory, most of which is discarded when only performing on-policy updates with respect to the commanded goal.…

Recent research has demonstrated the effectiveness of large language models (LLMs) in solving combinatorial optimization problems (COPs) by representing tasks and instances in natural language. However, purely language-based approaches…

Artificial Intelligence · Computer Science 2026-03-31 Shaodi Feng , Zhuoyi Lin , Yaoxin Wu , Haiyan Yin , Yan Jin , Senthilnath Jayavelu , Xun Xu

Efficiently training a multi-task neural solver for various combinatorial optimization problems (COPs) has been less studied so far. Naive application of conventional multi-task learning approaches often falls short in delivering a…

Machine Learning · Computer Science 2025-05-27 Chenguang Wang , Zhang-Hua Fu , Pinyan Lu , Tianshu Yu

Efficiently tackling combinatorial reasoning problems, particularly the notorious NP-hard tasks, remains a significant challenge for AI research. Recent efforts have sought to enhance planning by incorporating hierarchical high-level search…

Learning heuristics for combinatorial optimization problems through graph neural networks have recently shown promising results on some classic NP-hard problems. These are single-level optimization problems with only one player. Multilevel…

Machine Learning · Computer Science 2023-04-22 Adel Nabli , Margarida Carvalho