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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 network-based Combinatorial Optimization (CO) methods have shown promising results in solving various NP-complete (NPC) problems without relying on hand-crafted domain knowledge. This paper broadens the current scope of neural…

Machine Learning · Computer Science 2023-12-05 Zhiqing Sun , Yiming Yang

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…

Artificial Intelligence · Computer Science 2025-05-20 Changliang Zhou , Xi Lin , Zhenkun Wang , Qingfu Zhang

Combinatorial optimization problems near algorithmic phase transitions represent a fundamental challenge for both classical algorithms and machine learning approaches. Among them, graph coloring stands as a prototypical constraint…

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

The hardness of combinatorial optimization (CO) problems hinders collecting solutions for supervised learning. However, learning neural networks for CO problems is notoriously difficult in lack of the labeled data as the training is easily…

Machine Learning · Computer Science 2022-07-26 Haoran Sun , Etash K. Guha , Hanjun Dai

Data-driven approaches have been proven effective in solving combinatorial optimization problems over graphs such as the traveling salesman problems and the vehicle routing problem. The rationale behind such methods is that the input…

Artificial Intelligence · Computer Science 2023-08-08 Mina Samizadeh , Guangmo Tong

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

Graph neural networks (GNN) has been successfully applied to operate on the graph-structured data. Given a specific scenario, rich human expertise and tremendous laborious trials are usually required to identify a suitable GNN architecture.…

Machine Learning · Computer Science 2019-09-11 Kaixiong Zhou , Qingquan Song , Xiao Huang , Xia Hu

Over the past half-decade, many methods have been considered for neural architecture search (NAS). Bayesian optimization (BO), which has long had success in hyperparameter optimization, has recently emerged as a very promising strategy for…

Machine Learning · Computer Science 2022-06-13 Colin White , Willie Neiswanger , Yash Savani

This article explores the integration of deep learning models into combinatorial optimization pipelines, specifically targeting NP-hard problems. Traditional exact algorithms for such problems often rely on heuristic criteria to guide the…

Machine Learning · Computer Science 2026-04-28 Lorenzo Sciandra , Roberto Esposito , Andrea Cesare Grosso , Laura Sacerdote , Cristina Zucca

Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields. Recently, solving CO problems on graphs through learning methods has attracted great attention.…

Artificial Intelligence · Computer Science 2023-12-20 Ruibin Zeng , Minglong Lei , Lingfeng Niu , Lan Cheng

Neural architecture search (NAS) and network pruning are widely studied efficient AI techniques, but not yet perfect. NAS performs exhaustive candidate architecture search, incurring tremendous search cost. Though (structured) pruning can…

Computer Vision and Pattern Recognition · Computer Science 2022-06-03 Yanyu Li , Pu Zhao , Geng Yuan , Xue Lin , Yanzhi Wang , Xin Chen

Graphs have been widely used to represent complex data in many applications. Efficient and effective analysis of graphs is important for graph-based applications. However, most graph analysis tasks are combinatorial optimization (CO)…

Machine Learning · Computer Science 2021-04-23 Yun Peng , Byron Choi , Jianliang Xu

Making models algorithmically fairer in tabular data has been long studied, with techniques typically oriented towards fixes which usually take a neural model with an undesirable outcome and make changes to how the data are ingested, what…

Machine Learning · Computer Science 2023-10-19 Richeek Das , Samuel Dooley

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

Machine Learning · Statistics 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

Along with AI computing shining in scientific discovery, its potential in the combinatorial optimization (CO) domain has also emerged in recent years. Yet, existing unsupervised neural network solvers struggle to solve $k$-grouping problems…

Machine Learning · Computer Science 2025-05-28 Sen Bai , Chunqi Yang , Xin Bai , Xin Zhang , Zhengang Jiang

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

Performing analytical tasks over graph data has become increasingly interesting due to the ubiquity and large availability of relational information. However, unlike images or sentences, there is no notion of sequence in networks. Nodes…

Neural and Evolutionary Computing · Computer Science 2020-10-28 Matheus Nunes , Gisele L. Pappa

Current neural architecture search (NAS) strategies focus only on finding a single, good, architecture. They offer little insight into why a specific network is performing well, or how we should modify the architecture if we want further…

Machine Learning · Computer Science 2021-02-22 Binxin Ru , Xingchen Wan , Xiaowen Dong , Michael Osborne