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Graph construction is a crucial step in spectral clustering (SC) and graph-based semi-supervised learning (SSL). Spectral methods applied on standard graphs such as full-RBF, $\epsilon$-graphs and $k$-NN graphs can lead to poor performance…

Machine Learning · Statistics 2012-05-09 Jing Qian , Venkatesh Saligrama , Manqi Zhao

Given an undirected, unweighted graph with $n$ vertices and $m$ edges, the maximum cut problem is to find a partition of the $n$ vertices into disjoint subsets $V_1$ and $V_2$ such that the number of edges between them is as large as…

With the exponential growth of Internet of Things (IoT) devices, edge computing (EC) is gradually playing an important role in providing cost-effective services. However, existing approaches struggle to perform well in graph-structured…

Machine Learning · Computer Science 2025-04-23 Wenjing Xiao , Chenglong Shi , Miaojiang Chen , Zhiquan Liu , Min Chen , H. Herbert Song

Recently a variety of methods have been developed to encode graphs into low-dimensional vectors that can be easily exploited by machine learning algorithms. The majority of these methods start by embedding the graph nodes into a…

Machine Learning · Computer Science 2018-09-13 Yu Jin , Joseph F. JaJa

This paper presents a methodology for image classification using Graph Neural Network (GNN) models. We transform the input images into region adjacency graphs (RAGs), in which regions are superpixels and edges connect neighboring…

Machine Learning · Computer Science 2020-11-17 Pedro H. C. Avelar , Anderson R. Tavares , Thiago L. T. da Silveira , Cláudio R. Jung , Luís C. Lamb

Hypergraphs that can depict interactions beyond pairwise edges have emerged as an appropriate representation for modeling polyadic relations in complex systems. With the recent surge of interest in researching hypergraphs, the centrality…

Physics and Society · Physics 2022-08-10 Xiao-Wen Xie , Xiu-Xiu Zhan , Zi-Ke Zhang , Chuang Liu

In recent years, there has been a growing interest in using machine learning techniques for the estimation of treatment effects. Most of the best-performing methods rely on representation learning strategies that encourage shared behavior…

Machine Learning · Computer Science 2024-04-19 Roger Pros , Jordi Vitrià

Graph Neural Networks (GNNs) have gained popularity in various learning tasks, with successful applications in fields like molecular biology, transportation systems, and electrical grids. These fields naturally use graph data, benefiting…

Machine Learning · Computer Science 2024-09-23 Caio F. Deberaldini Netto , Zhiyang Wang , Luana Ruiz

Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and…

Machine Learning · Computer Science 2026-04-02 Ayoub Ghriss

Hypergraphs naturally arise when studying group relations and have been widely used in the field of machine learning. To the best of our knowledge, the recently proposed edge-dependent vertex weights (EDVW) modeling is one of the most…

Social and Information Networks · Computer Science 2026-02-24 Zihao Li , Dongqi Fu , Hengyu Liu , Jingrui He

Mining cohesive subgraphs from a graph is a fundamental problem in graph data analysis. One notable cohesive structure is $\gamma$-quasi-clique (QC), where each vertex connects at least a fraction $\gamma$ of the other vertices inside.…

Databases · Computer Science 2023-08-29 Kaiqiang Yu , Cheng Long

In this paper, we present a hypergraph neural networks (HGNN) framework for data representation learning, which can encode high-order data correlation in a hypergraph structure. Confronting the challenges of learning representation for…

Machine Learning · Computer Science 2019-02-26 Yifan Feng , Haoxuan You , Zizhao Zhang , Rongrong Ji , Yue Gao

In the last few years, graph convolutional networks (GCN) have become a popular research direction in the machine learning community to tackle NP-hard combinatorial optimization problems (COPs) defined on graphs. While the obtained results…

Machine Learning · Computer Science 2021-06-02 Elisabeth Gaar , Markus Sinnl

Hypergraph-based machine learning methods are now widely recognized as important for modeling and using higher-order and multiway relationships between data objects. Local hypergraph clustering and semi-supervised learning specifically…

Social and Information Networks · Computer Science 2021-03-22 Meng Liu , Nate Veldt , Haoyu Song , Pan Li , David F. Gleich

Graph representation learning has become a crucial task in machine learning and data mining due to its potential for modeling complex structures such as social networks, chemical compounds, and biological systems. Spiking neural networks…

Artificial Intelligence · Computer Science 2024-03-27 Huifeng Yin , Mingkun Xu , Jing Pei , Lei Deng

We study the balanced $k$-way hypergraph partitioning problem, with a special focus on its practical applications to manycore scheduling. Given a hypergraph on $n$ nodes, our goal is to partition the node set into $k$ parts of size at most…

Computational Complexity · Computer Science 2023-04-06 Pál András Papp , Georg Anegg , A. N. Yzelman

Graph Neural Networks (GNNs) have achieved great success in representing data with dependencies by recursively propagating and aggregating messages along the edges. However, edges in real-world graphs often have varying degrees of…

Machine Learning · Computer Science 2023-10-31 Zheng Zhang , Junxiang Wang , Liang Zhao

Real-time, energy-efficient inference on edge devices is essential for graph classification across a range of applications. Hyperdimensional Computing (HDC) is a brain-inspired computing paradigm that encodes input features into…

Hardware Architecture · Computer Science 2026-05-19 Jebacyril Arockiaraj , Dhruv Parikh , Viktor Prasanna

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

The graph partition problem (GPP) aims at clustering the vertex set of a graph into a fixed number of disjoint subsets of given sizes such that the sum of weights of edges joining different sets is minimized. This paper investigates the…

Optimization and Control · Mathematics 2023-08-02 Frank de Meijer , Renata Sotirov , Angelika Wiegele , Shudian Zhao