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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

Top-k selection algorithms are fundamental in a wide range of applications, including high-performance computing, information retrieval, big data processing, and neural network model training. In this paper, we present RTop-K, a highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-03 Xi Xie , Yuebo Luo , Hongwu Peng , Caiwen Ding

A $k$-defective clique of an undirected graph $G$ is a subset of its vertices that induces a nearly complete graph with a maximum of $k$ missing edges. The maximum $k$-defective clique problem, which asks for the largest $k$-defective…

Data Structures and Algorithms · Computer Science 2024-07-25 Chunyu Luo , Yi Zhou , Zhengren Wang , Mingyu Xiao

In recent years, graph neural networks (GNNs) have become increasingly popular for solving NP-hard combinatorial optimization (CO) problems, such as maximum cut and maximum independent set. The core idea behind these methods is to represent…

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

Considering higher-order interactions allows for a more comprehensive understanding of network structures beyond simple pairwise connections. While leveraging all cliques in a network to handle higher-order interactions is intuitive, it…

Social and Information Networks · Computer Science 2025-09-30 Eunho Koo , Tongseok Lim

Adaptations of Transformer models, such as BERT4Rec and SASRec, achieve state-of-the-art performance in the sequential recommendation task according to accuracy-based metrics, such as NDCG. These models treat items as tokens and then…

Information Retrieval · Computer Science 2024-03-11 Aleksandr Petrov , Craig Macdonald

Traditional recommendation proposals, including content-based and collaborative filtering, usually focus on similarity between items or users. Existing approaches lack ways of introducing unexpectedness into recommendations, prioritizing…

Information Retrieval · Computer Science 2024-05-15 Oliver Baumann , Durgesh Nandini , Anderson Rossanez , Mirco Schoenfeld , Julio Cesar dos Reis

In the last years, an increasing number of learning-based approaches have been proposed to tackle combinatorial optimization problems such as routing problems. Many of these approaches are based on graph neural networks (GNNs) or related…

Machine Learning · Computer Science 2025-09-30 Attila Lischka , Filip Rydin , Jiaming Wu , Morteza Haghir Chehreghani , Balázs Kulcsár

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

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

To alleviate sparsity and cold start problem of collaborative filtering based recommender systems, researchers and engineers usually collect attributes of users and items, and design delicate algorithms to exploit these additional…

Information Retrieval · Computer Science 2019-04-30 Hongwei Wang , Miao Zhao , Xing Xie , Wenjie Li , Minyi Guo

We consider the k-disjoint-clique problem. The input is an undirected graph G in which the nodes represent data items, and edges indicate a similarity between the corresponding items. The problem is to find within the graph k disjoint…

Optimization and Control · Mathematics 2013-12-03 Brendan P. W. Ames , Stephen A. Vavasis

In this paper, we propose a novel graph neural network-based recommendation model called KGLN, which leverages Knowledge Graph (KG) information to enhance the accuracy and effectiveness of personalized recommendations. We first use a…

Information Retrieval · Computer Science 2024-02-06 Chaoyang Zhang , Yanan Li , Shen Chen , Siwei Fan , Wei Li

Recent advances in research have demonstrated the effectiveness of knowledge graphs (KG) in providing valuable external knowledge to improve recommendation systems (RS). A knowledge graph is capable of encoding high-order relations that…

Information Retrieval · Computer Science 2020-04-02 Yang Gao , Yi-Fan Li , Yu Lin , Hang Gao , Latifur Khan

Recommendation systems (RS) aim to retrieve the top-K items most relevant to users, with metrics such as Precision@K and Recall@K commonly used to assess effectiveness. The architecture of an RS model acts as an inductive bias, shaping the…

Information Retrieval · Computer Science 2026-01-27 Sirui Chen , Jiawei Chen , Canghong Jin , Sheng Zhou , Jingbang Chen , Wujie Sun , Can Wang

Finding a Maximum Clique is a classic property test from graph theory; find any one of the largest complete subgraphs in an Erd\"os-R\'enyi G(N, p) random graph. We use Maximum Clique to explore the structure of the problem as a function of…

Disordered Systems and Neural Networks · Physics 2023-05-26 Raffaele Marino , Scott Kirkpatrick

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

Machine Learning · Computer Science 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

Natural Language Processing (NLP) provides highly effective tools for interpreting and handling human language, offering a broad spectrum of applications. In this paper, we address a classic combinatorial problem -- finding graph partitions…

Social and Information Networks · Computer Science 2026-03-02 Marco D'Elia , Irene Finocchi , Maurizio Patrignani

Job shop scheduling problems represent a significant and complex facet of combinatorial optimization problems, which have traditionally been addressed through either exact or approximate solution methodologies. However, the practical…

Artificial Intelligence · Computer Science 2024-03-19 Jaejin Lee , Seho Kee , Mani Janakiram , George Runger

Numerous graph neural network (GNN)-based algorithms have been proposed to solve graph-based combinatorial optimization problems (COPs), but methods to explain their predictions remain largely undeveloped. We introduce ARM-Explainer, a…

Machine Learning · Computer Science 2025-12-01 Bharat Sharman , Elkafi Hassini