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The end-to-end neural combinatorial optimization (NCO) method shows promising performance in solving complex combinatorial optimization problems without the need for expert design. However, existing methods struggle with large-scale…

机器学习 · 计算机科学 2024-05-03 Fu Luo , Xi Lin , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Qingfu Zhang

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…

机器学习 · 计算机科学 2024-11-05 Jonathan Pirnay , Dominik G. Grimm

Self-improvement has emerged as a state-of-the-art paradigm in Neural Combinatorial Optimization (NCO), where models iteratively refine their policies by generating and imitating high-quality solutions. Despite strong empirical performance,…

机器学习 · 计算机科学 2025-10-15 Laurin Luttmann , Lin Xie

Neural combinatorial optimization (NCO) aims at designing problem-independent and efficient neural network-based strategies for solving combinatorial problems. The field recently experienced growth by successfully adapting architectures…

机器学习 · 计算机科学 2020-11-13 Michal Lisicki , Arash Afkanpour , Graham W. Taylor

The primary paradigm in Neural Combinatorial Optimization (NCO) are construction methods, where a neural network is trained to sequentially add one solution component at a time until a complete solution is constructed. We observe that the…

机器学习 · 计算机科学 2025-09-08 Tim Dernedde , Daniela Thyssens , Lars Schmidt-Thieme

This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

机器学习 · 计算机科学 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

Combinatorial optimization problems, such as scheduling and route planning, are crucial in various industries but are computationally intractable due to their NP-hard nature. Neural Combinatorial Optimization methods leverage machine…

机器学习 · 计算机科学 2025-02-14 Imanol Echeverria , Maialen Murua , Roberto Santana

Traditional solvers for tackling combinatorial optimization (CO) problems are usually designed by human experts. Recently, there has been a surge of interest in utilizing deep learning, especially deep reinforcement learning, to…

神经与进化计算 · 计算机科学 2023-04-13 Shengcai Liu , Yu Zhang , Ke Tang , Xin Yao

Neural combinatorial optimization (NCO) has gained significant attention due to the potential of deep learning to efficiently solve combinatorial optimization problems. NCO has been widely applied to job shop scheduling problems (JSPs) with…

人工智能 · 计算机科学 2024-12-19 Igor G. Smit , Yaoxin Wu , Pavel Troubil , Yingqian Zhang , Wim P. M. Nuijten

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…

机器学习 · 计算机科学 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

A general framework of unsupervised learning for combinatorial optimization (CO) is to train a neural network (NN) whose output gives a problem solution by directly optimizing the CO objective. Albeit with some advantages over traditional…

机器学习 · 计算机科学 2023-01-24 Haoyu Wang , Pan Li

Combinatorial Optimization (CO) encompasses a wide range of problems that arise in many real-world scenarios. While significant progress has been made in developing learning-based methods for specialized CO problems, a unified model with a…

机器学习 · 计算机科学 2025-05-13 Zefang Zong , Xiaochen Wei , Guozhen Zhang , Chen Gao , Huandong Wang , Yong Li

Neural Combinatorial Optimization (NCO) is an emerging domain where deep learning techniques are employed to address combinatorial optimization problems as a standalone solver. Despite their potential, existing NCO methods often suffer from…

神经与进化计算 · 计算机科学 2024-08-06 Andoni I. Garmendia , Quentin Cappart , Josu Ceberio , Alexander Mendiburu

Neural Combinatorial Optimization (NCO) has mostly focused on learning policies, typically neural networks, that operate on a single candidate solution at a time, either by constructing one from scratch or iteratively improving it. In…

神经与进化计算 · 计算机科学 2026-01-14 Andoni Irazusta Garmendia , Josu Ceberio , Alexander Mendiburu

Leveraging planning during learning and decision-making is central to the long-term development of intelligent agents. Recent works have successfully combined tree-based search methods and self-play learning mechanisms to this end. However,…

人工智能 · 计算机科学 2024-11-01 Matthew V Macfarlane , Edan Toledo , Donal Byrne , Paul Duckworth , Alexandre Laterre

In unsupervised combinatorial optimization (UCO), during training, one aims to have continuous decisions that are promising in a probabilistic sense for each training instance, which enables end-to-end training on initially discrete and…

机器学习 · 计算机科学 2025-06-23 Fanchen Bu , Kijung Shin

Using machine learning to solve combinatorial optimization (CO) problems is challenging, especially when the data is unlabeled. This work proposes an unsupervised learning framework for CO problems. Our framework follows a standard…

机器学习 · 计算机科学 2022-10-25 Haoyu Wang , Nan Wu , Hang Yang , Cong Hao , Pan Li

Existing reinforcement learning approaches for Large Language Models typically perform policy optimization at the granularity of individual tokens or entire response sequences. However, such formulations often misalign with the natural…

人工智能 · 计算机科学 2026-05-08 Lei Gao , Zhuoming Li , Mengxi Jia , Jiakang Yuan , Hongbo Sun , Hao Sun , Xuelong Li

Constructive neural combinatorial optimization (NCO) has attracted growing research attention due to its ability to solve complex routing problems without relying on handcrafted rules. However, existing NCO methods face significant…

人工智能 · 计算机科学 2025-05-20 Changliang Zhou , Xi Lin , Zhenkun Wang , Qingfu Zhang

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…

机器学习 · 计算机科学 2024-10-02 Runzhong Wang , Yang Li , Junchi Yan , Xiaokang Yang
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