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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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

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…

物理与社会 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

社会与信息网络 · 计算机科学 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.…

数据库 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

社会与信息网络 · 计算机科学 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…

人工智能 · 计算机科学 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…

计算复杂性 · 计算机科学 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…

机器学习 · 计算机科学 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…

硬件体系结构 · 计算机科学 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,…

数据结构与算法 · 计算机科学 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…

最优化与控制 · 数学 2023-08-02 Frank de Meijer , Renata Sotirov , Angelika Wiegele , Shudian Zhao