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Superpixel algorithms have proven to be a useful initial step for segmentation and subsequent processing of images, reducing computational complexity by replacing the use of expensive per-pixel primitives with a higher-level abstraction,…

计算机视觉与模式识别 · 计算机科学 2018-07-24 Bradley C. Lowekamp , David T. Chen , Ziv Yaniv , Terry S. Yoo

We propose a novel method to co-cluster the vertices and hyperedges of hypergraphs with edge-dependent vertex weights (EDVWs). In this hypergraph model, the contribution of every vertex to each of its incident hyperedges is represented…

数据结构与算法 · 计算机科学 2021-02-23 Yu Zhu , Boning Li , Santiago Segarra

In this work we propose a simple and easily parallelizable algorithm for multiway graph partitioning. The algorithm alternates between three basic components: diffusing seed vertices over the graph, thresholding the diffused seeds, and then…

机器学习 · 统计学 2014-06-17 Xavier Bresson , Huiyi Hu , Thomas Laurent , Arthur Szlam , James von Brecht

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

计算机视觉与模式识别 · 计算机科学 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

机器学习 · 计算机科学 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

应用统计 · 统计学 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

We present a novel particle management method using the Characteristic Mapping framework. In the context of explicit evolution of parametrized curves and surfaces, the surface distribution of marker points created from sampling the…

数值分析 · 数学 2023-02-21 Xi-Yuan Yin , Linan Chen , Jean-Christophe Nave

Important graph mining problems such as Clustering are computationally demanding. To significantly accelerate these problems, we propose ProbGraph: a graph representation that enables simple and fast approximate parallel graph mining with…

Spectral sparsification is a technique that is used to reduce the number of non-zero entries in a positive semidefinite matrix with little changes to its spectrum. In particular, the main application of spectral sparsification is to…

数据结构与算法 · 计算机科学 2021-04-13 Fabricio Mendoza-Granada , Marcos Villagra

We study the Personalized PageRank (PPR) algorithm, a local spectral method for clustering, which extracts clusters using locally-biased random walks around a given seed node. In contrast to previous work, we adopt a classical statistical…

统计理论 · 数学 2021-12-24 Alden Green , Sivaraman Balakrishnan , Ryan J. Tibshirani

A hypergraph is a useful combinatorial object to model ternary or higher-order relations among entities. Clustering hypergraphs is a fundamental task in network analysis. In this study, we develop two clustering algorithms based on…

数据结构与算法 · 计算机科学 2021-10-27 Yuuki Takai , Atsushi Miyauchi , Masahiro Ikeda , Yuichi Yoshida

Image clustering is one of the most important computer vision applications, which has been extensively studied in literature. However, current clustering methods mostly suffer from lack of efficiency and scalability when dealing with…

机器学习 · 计算机科学 2017-08-10 Kamran Ghasedi Dizaji , Amirhossein Herandi , Cheng Deng , Weidong Cai , Heng Huang

In this paper, we introduce a novel algorithm for segmentation of imperfect boundary probability maps (BPM) in connectomics. Our algorithm can be a considered as an extension of spectral clustering. Instead of clustering the diffusion maps…

计算机视觉与模式识别 · 计算机科学 2016-07-22 Gergely Odor

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

机器学习 · 计算机科学 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

While there has been much interest in adapting conventional clustering procedures---and in higher dimensions, persistent homology methods---to directed networks, little is known about the convergence of such methods. In order to even…

计算几何 · 计算机科学 2022-12-20 Samir Chowdhury , Facundo Mémoli

In the graph clustering problem with a planted solution, the input is a graph on $n$ vertices partitioned into $k$ clusters, and the task is to infer the clusters from graph structure. A standard assumption is that clusters induce…

Clustering is an essential technique for network analysis, with applications in a diverse range of fields. Although spectral clustering is a popular and effective method, it fails to consider higher-order structure and can perform poorly on…

社会与信息网络 · 计算机科学 2020-09-14 William George Underwood , Andrew Elliott , Mihai Cucuringu

In-Network Collective (INC) acceleration holds immense potential for optimizing AI training and inference; however, its cross-layer nature has historically hindered investment and adoption within the open Ethernet ecosystem. To bridge this…

The widely applied density peak clustering (DPC) algorithm makes an intuitive cluster formation assumption that cluster centers are often surrounded by data points with lower local density and far away from other data points with higher…

机器学习 · 计算机科学 2022-01-04 Yizhang Wang , Di Wang , You Zhou , Xiaofeng Zhang , Chai Quek

This paper presents a parallel adaptive clustering (PAC) algorithm to automatically classify data while simultaneously choosing a suitable number of classes. Clustering is an important tool for data analysis and understanding in a broad set…

机器学习 · 计算机科学 2021-04-07 Benjamin McLaughlin , Sung Ha Kang