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Wepropose SplitGNN, a graph neural network (GNN)-based approach that learns to solve weighted maximum satisfiabil ity (MaxSAT) problem. SplitGNN incorporates a co-training architecture consisting of supervised message passing mech anism and…

Machine Learning · Computer Science 2025-11-26 Kaidi Wan , Minghao Liu , Yong Lai

Neural models have shown promise in solving NP-hard graph combinatorial optimization (CO) problems. Once trained, they offer fast inference and reasonably high-quality solutions for in-distribution testing instances, but they generally fall…

Machine Learning · Computer Science 2025-11-26 Jialiang Li , Weitong Chen , Mingyu Guo

Quadratic Unconstrained Binary Optimization (QUBO) is a generic technique to model various NP-hard Combinatorial Optimization problems (CO) in the form of binary variables. Ising Hamiltonian is used to model the energy function of a system.…

Machine Learning · Computer Science 2023-12-13 Redwan Ahmed Rizvee , Raheeb Hassan , Md. Mosaddek Khan

Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose a new graph convolutional neural network model for learning branch-and-bound variable selection policies, which leverages the natural…

Machine Learning · Computer Science 2019-10-31 Maxime Gasse , Didier Chételat , Nicola Ferroni , Laurent Charlin , Andrea Lodi

Many applications of machine learning require a model to make accurate pre-dictions on test examples that are distributionally different from training ones, while task-specific labels are scarce during training. An effective approach to…

Machine Learning · Computer Science 2020-02-20 Weihua Hu , Bowen Liu , Joseph Gomes , Marinka Zitnik , Percy Liang , Vijay Pande , Jure Leskovec

Combinatorial optimization problems are ubiquitous in science and engineering. Still, learning-based approaches to accelerate combinatorial optimization often require solving a large number of difficult instances to collect training data,…

Machine Learning · Computer Science 2025-09-25 Zohair Shafi , Serdar Kadioglu

In recent years, quantum computing has emerged as a transformative force in the field of combinatorial optimization, offering novel approaches to tackling complex problems that have long challenged classical computational methods. Among…

Although graph neural networks (GNNs) have achieved impressive achievements in graph classification, they often need abundant task-specific labels, which could be extensively costly to acquire. A credible solution is to explore additional…

Machine Learning · Computer Science 2025-07-15 Nan Yin , Li Shen , Mengzhu Wang , Long Lan , Zeyu Ma , Chong Chen , Xian-Sheng Hua , Xiao Luo

Graphs with complete node attributes have been widely explored recently. While in practice, there is a graph where attributes of only partial nodes could be available and those of the others might be entirely missing. This attribute-missing…

Machine Learning · Computer Science 2020-11-04 Xu Chen , Siheng Chen , Jiangchao Yao , Huangjie Zheng , Ya Zhang , Ivor W Tsang

Machine Learning-based heuristics have recently shown impressive performance in solving a variety of hard combinatorial optimization problems (COPs). However, they generally rely on a separate neural model, specialized and trained for each…

Machine Learning · Computer Science 2025-02-26 Darko Drakulic , Sofia Michel , Jean-Marc Andreoli

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

Existing approaches to solving combinatorial optimization problems on graphs suffer from the need to engineer each problem algorithmically, with practical problems recurring in many instances. The practical side of theoretical computer…

Machine Learning · Computer Science 2020-07-15 Natalia Vesselinova , Rebecca Steinert , Daniel F. Perez-Ramirez , Magnus Boman

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

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

Most compilers for machine learning (ML) frameworks need to solve many correlated optimization problems to generate efficient machine code. Current ML compilers rely on heuristics based algorithms to solve these optimization problems one at…

In this work we design graph neural network architectures that capture optimal approximation algorithms for a large class of combinatorial optimization problems, using powerful algorithmic tools from semidefinite programming (SDP).…

Machine Learning · Computer Science 2024-10-08 Morris Yau , Nikolaos Karalias , Eric Lu , Jessica Xu , Stefanie Jegelka

Recently, graph neural networks (GNNs) have been shown powerful capacity at modeling structural data. However, when adapted to downstream tasks, it usually requires abundant task-specific labeled data, which can be extremely scarce in…

Machine Learning · Computer Science 2022-03-04 Yupeng Hou , Binbin Hu , Wayne Xin Zhao , Zhiqiang Zhang , Jun Zhou , Ji-Rong Wen

The remarkable achievements of machine learning techniques in analyzing discrete structures have drawn significant attention towards their integration into combinatorial optimization algorithms. Typically, these methodologies improve…

Artificial Intelligence · Computer Science 2024-02-07 Abdelrahman Hosny , Sherief Reda

The quantum approximate optimization algorithm (QAOA) is one of the most promising candidates for achieving quantum advantage through quantum-enhanced combinatorial optimization. Optimal QAOA parameter concentration effects for special…

Quantum Physics · Physics 2024-07-10 Jose Falla , Quinn Langfitt , Yuri Alexeev , Ilya Safro

Computerized Adaptive Testing(CAT) refers to an online system that adaptively selects the best-suited question for students with various abilities based on their historical response records. Most CAT methods only focus on the quality…

Information Retrieval · Computer Science 2023-10-12 Hangyu Wang , Ting Long , Liang Yin , Weinan Zhang , Wei Xia , Qichen Hong , Dingyin Xia , Ruiming Tang , Yong Yu