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Many problems in real life can be converted to combinatorial optimization problems (COPs) on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2019-09-17 Jing Liu , Fei Gao , Jiang Zhang

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

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…

The design of optimization algorithms for neural networks remains a critical challenge, with most existing methods relying on heuristic adaptations of gradient-based approaches. This paper introduces KO (Kinetics-inspired Optimizer), a…

Machine Learning · Computer Science 2025-05-22 Mingquan Feng , Yixin Huang , Yifan Fu , Shaobo Wang , Junchi Yan

Neural architecture search (NAS) for Graph neural networks (GNNs), called NAS-GNNs, has achieved significant performance over manually designed GNN architectures. However, these methods inherit issues from the conventional NAS methods, such…

Machine Learning · Computer Science 2023-06-19 Peng Xu , Lin Zhang , Xuanzhou Liu , Jiaqi Sun , Yue Zhao , Haiqin Yang , Bei Yu

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…

Neural and Evolutionary Computing · Computer Science 2026-01-14 Andoni Irazusta Garmendia , Josu Ceberio , Alexander Mendiburu

Recent years have witnessed the popularity of Graph Neural Networks (GNN) in various scenarios. To obtain optimal data-specific GNN architectures, researchers turn to neural architecture search (NAS) methods, which have made impressive…

Machine Learning · Computer Science 2020-09-08 Huan Zhao , Lanning Wei , Quanming Yao

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

Neural Combinatorial Optimization (NCO) has emerged as a promising learning-based paradigm for addressing Vehicle Routing Problems (VRPs) by minimizing the need for extensive manual engineering. While existing NCO methods, trained on…

Machine Learning · Computer Science 2025-11-24 Yuanyao Chen , Rongsheng Chen , Fu Luo , Zhenkun Wang

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu

Neural architecture search automates the design of neural network architectures usually by exploring a large and thus complex architecture search space. To advance the architecture search, we present a graph diffusion-based NAS approach…

Machine Learning · Computer Science 2024-03-25 Rohan Asthana , Joschua Conrad , Youssef Dawoud , Maurits Ortmanns , Vasileios Belagiannis

Neural architecture search (NAS) is a promising method for automatically design neural architectures. NAS adopts a search strategy to explore the predefined search space to find outstanding performance architecture with the minimum…

Machine Learning · Computer Science 2020-09-11 Chen Wei , Chuang Niu , Yiping Tang , Yue Wang , Haihong Hu , Jimin Liang

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

Deep Learning models have experienced exponential growth in complexity and resource demands in recent years. Accelerating these models for efficient execution on resource-constrained devices has become more crucial than ever. Two notable…

Machine Learning · Computer Science 2024-08-09 Inas Bachiri , Hadjer Benmeziane , Smail Niar , Riyadh Baghdadi , Hamza Ouarnoughi , Abdelkrime Aries

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Training neural networks requires increasing amounts of memory. Parameter sharing can reduce memory and communication costs, but existing methods assume networks have many identical layers and utilize hand-crafted sharing strategies that…

Machine Learning · Computer Science 2022-03-17 Bryan A. Plummer , Nikoli Dryden , Julius Frost , Torsten Hoefler , Kate Saenko

Relevant combinatorial optimization problems (COPs) are often NP-hard. While they have been tackled mainly via handcrafted heuristics in the past, advances in neural networks have motivated the development of general methods to learn…

Machine Learning · Computer Science 2025-09-05 Tim Dernedde , Daniela Thyssens , Sören Dittrich , Maximilian Stubbemann , Lars Schmidt-Thieme

Neural Combinatorial Optimization (NCO) has emerged as a promising approach for NP-hard problems. However, prevailing RL-based methods suffer from low sample efficiency due to sparse rewards and underused solutions. We propose Best-anchored…

Machine Learning · Computer Science 2025-06-03 Zijun Liao , Jinbiao Chen , Debing Wang , Zizhen Zhang , Jiahai Wang

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

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