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Recent advancements in neural combinatorial optimization (NCO) methods have shown promising results in generating near-optimal solutions without the need for expert-crafted heuristics. However, high performance of these approaches often…

Artificial Intelligence · Computer Science 2025-02-13 Seong-Hyun Hong , Hyun-Sung Kim , Zian Jang , Deunsol Yoon , Hyungseok Song , Byung-Jun Lee

Combinatorial optimization (CO) problems arise across a broad spectrum of domains, including medicine, logistics, and manufacturing. While exact solutions are often computationally infeasible, many practical applications require…

Machine Learning · Computer Science 2025-05-27 Arman Mielke , Uwe Bauknecht , Thilo Strauss , Mathias Niepert

This paper proposes DisCo, an automatic deep learning compilation module for data-parallel distributed training. Unlike most deep learning compilers that focus on training or inference on a single device, DisCo optimizes a DNN model for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Xiaodong Yi , Shiwei Zhang , Lansong Diao , Chuan Wu , Zhen Zheng , Shiqing Fan , Siyu Wang , Jun Yang , Wei Lin

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

Combinatorial optimization (CO) problems are crucial in various scientific and industrial applications. Recently, researchers have proposed using unsupervised Graph Neural Networks (GNNs) to address NP-hard combinatorial optimization…

Machine Learning · Computer Science 2024-07-24 Daria Pugacheva , Andrei Ermakov , Igor Lyskov , Ilya Makarov , Yuriy Zotov

Combinatorial optimization serves as an essential part in many modern industrial applications. A great number of the problems are offline setting due to safety and/or cost issues. While simulation-based approaches appear difficult to…

Machine Learning · Computer Science 2020-07-21 Wenpeng Wei , Toshiko Aizono

Deep reinforcement learning (DRL)-based combinatorial optimization (CO) methods (i.e., DRL-NCO) have shown significant merit over the conventional CO solvers as DRL-NCO is capable of learning CO solvers less relying on problem-specific…

Machine Learning · Computer Science 2023-01-06 Minsu Kim , Junyoung Park , Jinkyoo Park

Graph neural networks (GNNs) have achieved great success for a variety of tasks such as node classification, graph classification, and link prediction. However, the use of GNNs (and machine learning more generally) to solve combinatorial…

Machine Learning · Computer Science 2024-11-26 Frederik Wenkel , Semih Cantürk , Stefan Horoi , Michael Perlmutter , Guy Wolf

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…

Machine Learning · Computer Science 2023-01-24 Haoyu Wang , Pan Li

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

The success of machine learning solutions for reasoning about discrete structures has brought attention to its adoption within combinatorial optimization algorithms. Such approaches generally rely on supervised learning by leveraging…

Machine Learning · Computer Science 2022-03-17 Ismail R. Alkhouri , George K. Atia , Alvaro Velasquez

We present a stochastic first-order optimization method specialized for deep neural networks (DNNs), ECCO-DNN. This method models the optimization variable trajectory as a dynamical system and develops a discretization algorithm that…

Machine Learning · Computer Science 2023-10-24 Carmel Fiscko , Aayushya Agarwal , Yihan Ruan , Soummya Kar , Larry Pileggi , Bruno Sinopoli

Distributed training of GNNs enables learning on massive graphs (e.g., social and e-commerce networks) that exceed the storage and computational capacity of a single machine. To reach performance comparable to centralized training,…

Machine Learning · Computer Science 2023-05-18 Jiong Zhu , Aishwarya Reganti , Edward Huang , Charles Dickens , Nikhil Rao , Karthik Subbian , Danai Koutra

Combinatorial optimization (CO) problems are challenging as the computation time grows exponentially with the input. Graph Neural Networks (GNNs) show promise for researchers in solving CO problems. This study investigates the effectiveness…

Optimization and Control · Mathematics 2024-11-12 Chenchuhui Hu

We demonstrate that a single training trajectory can transform a graph neural network into an unsupervised heuristic for combinatorial optimization. Focusing on the Travelling Salesman Problem, we show that encoding global structural…

Artificial Intelligence · Computer Science 2026-02-03 Yimeng Min , Carla P. Gomes

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

The traveling salesman problem is a fundamental combinatorial optimization problem with strong exact algorithms. However, as problems scale up, these exact algorithms fail to provide a solution in a reasonable time. To resolve this, current…

Machine Learning · Computer Science 2025-01-09 Yong Liang Goh , Wee Sun Lee , Xavier Bresson , Thomas Laurent , Nicholas Lim

Diffusion-based Neural Combinatorial Optimization (NCO) has demonstrated effectiveness in solving NP-complete (NPC) problems by learning discrete diffusion models for solution generation, eliminating hand-crafted domain knowledge. Despite…

Machine Learning · Computer Science 2026-03-12 Haoyu Lei , Kaiwen Zhou , Yinchuan Li , Zhitang Chen , Farzan Farnia

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…

Machine Learning · Computer Science 2022-10-25 Haoyu Wang , Nan Wu , Hang Yang , Cong Hao , Pan Li

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…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Shengcai Liu , Yu Zhang , Ke Tang , Xin Yao
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