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Combinatorial optimization problems (COPs) are an important research topic in various fields. In recent times, there have been many attempts to solve COPs using deep learning-based approaches. We propose a novel neural network model that…

Computational Geometry · Computer Science 2023-04-17 Jaeseung Lee , Woojin Choi , Jibum Kim

Combinatorial optimization (CO) is the fundamental problem at the intersection of computer science, applied mathematics, etc. The inherent hardness in CO problems brings up challenge for solving CO exactly, making deep-neural-network-based…

Machine Learning · Computer Science 2024-10-02 Runzhong Wang , Yang Li , Junchi Yan , Xiaokang Yang

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

Real-world problems are becoming highly complex and, therefore, have to be solved with combinatorial optimisation (CO) techniques. Motivated by the strong increase of publications on CO, 8,393 articles from this research field are subjected…

General Economics · Economics 2026-04-17 Jann Michael Weinand , Kenneth Sörensen , Pablo San Segundo , Max Kleinebrahm , Russell McKenna

The ability to reason is one of the most fundamental capabilities of large language models (LLMs), enabling a wide range of downstream tasks through sophisticated problem-solving. A critical aspect of this is code reasoning, which involves…

Computation and Language · Computer Science 2025-05-26 Yusheng Zhao , Xiao Luo , Weizhi Zhang , Wei Ju , Zhiping Xiao , Philip S. Yu , Ming Zhang

Large language models (LLMs) have transformed software development through code generation capabilities, yet their effectiveness for high-performance computing (HPC) remains limited. HPC code requires specialized optimizations for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-26 Asif Rahman , Veljko Cvetkovic , Kathleen Reece , Aidan Walters , Yasir Hassan , Aneesh Tummeti , Bryan Torres , Denise Cooney , Margaret Ellis , Dimitrios S. Nikolopoulos

Recently numerous machine learning based methods for combinatorial optimization problems have been proposed that learn to construct solutions in a sequential decision process via reinforcement learning. While these methods can be easily…

Machine Learning · Computer Science 2022-03-16 André Hottung , Yeong-Dae Kwon , Kevin Tierney

Combinatorial optimization (CO) is essential for improving efficiency and performance in engineering applications. As complexity increases with larger problem sizes and more intricate dependencies, identifying the optimal solution become…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Shuo Jiang , Min Xie , Jianxi Luo

Automatic neural architecture design has shown its potential in discovering powerful neural network architectures. Existing methods, no matter based on reinforcement learning or evolutionary algorithms (EA), conduct architecture search in a…

Machine Learning · Computer Science 2019-09-05 Renqian Luo , Fei Tian , Tao Qin , Enhong Chen , Tie-Yan Liu

Neural approaches for combinatorial optimization (CO) equip a learning mechanism to discover powerful heuristics for solving complex real-world problems. While neural approaches capable of high-quality solutions in a single shot are…

Machine Learning · Computer Science 2022-11-18 Jinho Choo , Yeong-Dae Kwon , Jihoon Kim , Jeongwoo Jae , André Hottung , Kevin Tierney , Youngjune Gwon

Single-stage neural combinatorial optimization solvers have achieved near-optimal results on various small-scale combinatorial optimization (CO) problems without requiring expert knowledge. However, these solvers exhibit significant…

Artificial Intelligence · Computer Science 2025-01-22 Zhi Zheng , Changliang Zhou , Tong Xialiang , Mingxuan Yuan , Zhenkun Wang

Current methods for end-to-end constructive neural combinatorial optimization usually train a policy using behavior cloning from expert solutions or policy gradient methods from reinforcement learning. While behavior cloning is…

Machine Learning · Computer Science 2024-11-05 Jonathan Pirnay , Dominik G. Grimm

Multi-objective combinatorial optimization (MOCO) problems are prevalent in various real-world applications. Most existing neural MOCO methods rely on problem decomposition to transform an MOCO problem into a series of singe-objective…

Machine Learning · Computer Science 2025-01-28 Yongfan Lu , Zixiang Di , Bingdong Li , Shengcai Liu , Hong Qian , Peng Yang , Ke Tang , Aimin Zhou

Combinatorial Optimization (CO) problems over graphs appear routinely in many applications such as in optimizing traffic, viral marketing in social networks, and matching for job allocation. Due to their combinatorial nature, these problems…

Machine Learning · Computer Science 2024-01-02 Hao Tian , Sourav Medya , Wei Ye

Neural Combinatorial Optimisation (NCO) is a promising learning-based approach for solving Vehicle Routing Problems (VRPs) without extensive manual design. While existing constructive NCO methods typically follow an appending-based paradigm…

Machine Learning · Computer Science 2025-10-31 Fu Luo , Xi Lin , Mengyuan Zhong , Fei Liu , Zhenkun Wang , Jianyong Sun , Qingfu Zhang

Memory is a critical design consideration in current data-intensive DNN accelerators, as it profoundly determines energy consumption, bandwidth requirements, and area costs. As DNN structures become more complex, a larger on-chip memory…

Hardware Architecture · Computer Science 2024-02-02 Zhanhong Tan , Zijian Zhu , Kaisheng Ma

The interplay between Machine Learning (ML) and Constrained Optimization (CO) has recently been the subject of increasing interest, leading to a new and prolific research area covering (e.g.) Decision Focused Learning and Constrained…

Machine Learning · Computer Science 2022-10-26 Mattia Silvestri , Allegra De Filippo , Michele Lombardi , Michela Milano

Bayesian optimization (BO) is an efficient framework for solving black-box optimization problems with expensive function evaluations. This paper addresses the BO problem setting for combinatorial spaces (e.g., sequences and graphs) that…

Machine Learning · Computer Science 2022-02-07 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa

Combinatorial optimization (CO) is one of the most fundamental mathematical models in real-world applications. Traditional CO solvers, such as Branch-and-Bound (B&B) solvers, heavily rely on expert-designed heuristics, which are reliable…

Machine Learning · Computer Science 2024-07-11 Hongyu Liu , Haoyang Liu , Yufei Kuang , Jie Wang , Bin Li

Recent advances in graph neural network architectures and increased computation power have revolutionized the field of combinatorial optimization (CO). Among the proposed models for CO problems, Neural Improvement (NI) models have been…

Artificial Intelligence · Computer Science 2023-10-10 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu