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Combinatorial optimization problem (COP) over graphs is a fundamental challenge in optimization. Reinforcement learning (RL) has recently emerged as a new framework to tackle these problems and has demonstrated promising results. However,…

Machine Learning · Computer Science 2022-09-05 Fan Yao , Renqin Cai , Hongning Wang

A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum dominating set problem and the maximum matching problem in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-02 Matti Åstrand , Valentin Polishchuk , Joel Rybicki , Jukka Suomela , Jara Uitto

Subgraph matching is a fundamental problem in various fields that use graph structured data. Subgraph matching algorithms enumerate all isomorphic embeddings of a query graph q in a data graph G. An important branch of matching algorithms…

Machine Learning · Computer Science 2022-04-01 Hanchen Wang , Ying Zhang , Lu Qin , Wei Wang , Wenjie Zhang , Xuemin Lin

We show how graph neural networks can be used to solve the canonical graph coloring problem. We frame graph coloring as a multi-class node classification problem and utilize an unsupervised training strategy based on the statistical physics…

Machine Learning · Computer Science 2022-11-28 Martin J. A. Schuetz , J. Kyle Brubaker , Zhihuai Zhu , Helmut G. Katzgraber

Deep graph clustering, which aims to group nodes into disjoint clusters by neural networks in an unsupervised manner, has attracted great attention in recent years. Although the performance has been largely improved, the excellent…

Machine Learning · Computer Science 2023-08-15 Yue Liu , Ke Liang , Jun Xia , Xihong Yang , Sihang Zhou , Meng Liu , Xinwang Liu , Stan Z. Li

This paper addresses the Restricted Longest Common Subsequence (RLCS) problem, an extension of the well-known Longest Common Subsequence (LCS) problem. This problem has significant applications in bioinformatics, particularly for…

Artificial Intelligence · Computer Science 2024-10-17 Marko Djukanović , Jaume Reixach , Ana Nikolikj , Tome Eftimov , Aleksandar Kartelj , Christian Blum

Conversational recommender systems (CRS) enable the traditional recommender systems to explicitly acquire user preferences towards items and attributes through interactive conversations. Reinforcement learning (RL) is widely adopted to…

Information Retrieval · Computer Science 2021-05-21 Yang Deng , Yaliang Li , Fei Sun , Bolin Ding , Wai Lam

Recent years have witnessed the fast development of the emerging topic of Graph Learning based Recommender Systems (GLRS). GLRS mainly employ the advanced graph learning approaches to model users' preferences and intentions as well as…

Information Retrieval · Computer Science 2020-04-27 Shoujin Wang , Liang Hu , Yan Wang , Xiangnan He , Quan Z. Sheng , Mehmet Orgun , Longbing Cao , Nan Wang , Francesco Ricci , Philip S. Yu

In this paper, we explore the graph partitioning problem, a pivotal combina-torial optimization challenge with extensive applications in various fields such as science, technology, and business. Recognized as an NP-hard prob-lem, graph…

Machine Learning · Computer Science 2023-12-13 Vivek Chaudhary

Recent years have witnessed the fast development of the emerging topic of Graph Learning based Recommender Systems (GLRS). GLRS employ advanced graph learning approaches to model users' preferences and intentions as well as items'…

Information Retrieval · Computer Science 2021-05-14 Shoujin Wang , Liang Hu , Yan Wang , Xiangnan He , Quan Z. Sheng , Mehmet A. Orgun , Longbing Cao , Francesco Ricci , Philip S. Yu

This study addresses the challenge of forming effective groups in collaborative problem-solving environments. Recognizing the complexity of human interactions and the necessity for efficient collaboration, we propose a novel approach…

Computers and Society · Computer Science 2024-03-18 Zheng Fang , Fucai Ke , Jae Young Han , Zhijie Feng , Toby Cai

Coverage path planning in a generic known environment is shown to be NP-hard. When the environment is unknown, it becomes more challenging as the robot is required to rely on its online map information built during coverage for planning its…

Robotics · Computer Science 2021-10-19 Javad Heydari , Olimpiya Saha , Viswanath Ganapathy

We design a new iterative algorithm, called REINFORCE-OPT, for solving a general type of optimization problems. This algorithm parameterizes the solution search rule and iteratively updates the parameter using a reinforcement learning (RL)…

Optimization and Control · Mathematics 2025-01-27 Chen Xu , Yun-Bin Zhao , Zhipeng Lu , Ye Zhang

Logic optimization is an NP-hard problem commonly approached through hand-engineered heuristics. We propose to combine graph convolutional networks with reinforcement learning and a novel, scalable node embedding method to learn which local…

Machine Learning · Computer Science 2021-05-06 Xavier Timoneda , Lukas Cavigelli

Over the recent years, Reinforcement Learning combined with Deep Learning techniques has successfully proven to solve complex problems in various domains, including robotics, self-driving cars, and finance. In this paper, we are introducing…

Machine Learning · Computer Science 2023-09-19 Petr Bobák , Ladislav Čmolík , Martin Čadík

We focus on reinforcement learning (RL) in relational problems that are naturally defined in terms of objects, their relations, and object-centric actions. These problems are characterized by variable state and action spaces, and finding a…

Machine Learning · Computer Science 2023-08-28 Jaromír Janisch , Tomáš Pevný , Viliam Lisý

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira

Mobile networks are composed of many base stations and for each of them many parameters must be optimized to provide good services. Automatically and dynamically optimizing all these entities is challenging as they are sensitive to…

Machine Learning · Computer Science 2021-10-01 Maxime Bouton , Hasan Farooq , Julien Forgeat , Shruti Bothe , Meral Shirazipour , Per Karlsson

Column generation (CG) is one of the most successful approaches for solving large-scale linear programming (LP) problems. Given an LP with a prohibitively large number of variables (i.e., columns), the idea of CG is to explicitly consider…

Optimization and Control · Mathematics 2024-04-09 Haofeng Yuan , Lichang Fang , Shiji Song