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We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

计算机视觉与模式识别 · 计算机科学 2020-04-13 Shukun Zhang , James M. Murphy

We study clustering algorithms based on neighborhood graphs on a random sample of data points. The question we ask is how such a graph should be constructed in order to obtain optimal clustering results. Which type of neighborhood graph…

机器学习 · 统计学 2009-12-18 Markus Maier , Matthias Hein , Ulrike von Luxburg

Visual grouping is a key mechanism in human scene perception. There, it belongs to the subconscious, early processing and is key prerequisite for other high level tasks such as recognition. In this paper, we introduce an efficient, realtime…

计算机视觉与模式识别 · 计算机科学 2016-09-23 Dominik Alexander Klein , Dirk Schulz , Armin Bernd Cremers

Graph neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

社会与信息网络 · 计算机科学 2023-05-09 Erlin Pan , Zhao Kang

High-dimensional clustering often relies on geometric or local-similarity structure, but the dominant separation between groups may not always be location-based. Differences in dispersion can create asymmetric local-neighborhood patterns:…

统计方法学 · 统计学 2026-05-15 Hao Chen , Xiancheng Lin

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Cut-based directed graph (digraph) clustering often focuses on finding dense within-cluster or sparse between-cluster connections, similar to cut-based undirected graph clustering methods. In contrast, for flow-based clusterings the edges…

机器学习 · 计算机科学 2022-03-04 Koby Hayashi , Sinan G. Aksoy , Haesun Park

Subspace clustering is the problem of clustering data points into a union of low-dimensional linear/affine subspaces. It is the mathematical abstraction of many important problems in computer vision, image processing and machine learning. A…

机器学习 · 统计学 2016-04-12 Yining Wang , Yu-Xiang Wang , Aarti Singh

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

机器学习 · 计算机科学 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti

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

Due to the massive size of modern network data, local algorithms that run in sublinear time for analyzing the cluster structure of the graph are receiving growing interest. Two typical examples are local graph clustering algorithms that…

数据结构与算法 · 计算机科学 2019-04-23 Pan Peng

With the increasing prevalence of graph-structured data, multi-view graph clustering has been widely used in various downstream applications. Existing approaches primarily rely on a unified message passing mechanism, which significantly…

人工智能 · 计算机科学 2024-10-07 Jianpeng Chen , Yawen Ling , Yazhou Ren , Zichen Wen , Tianyi Wu , Shufei Zhang , Lifang He

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

社会与信息网络 · 计算机科学 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

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

Affinity propagation is an exemplar-based clustering algorithm that finds a set of data-points that best exemplify the data, and associates each datapoint with one exemplar. We extend affinity propagation in a principled way to solve the…

机器学习 · 计算机科学 2012-02-20 Inmar Givoni , Clement Chung , Brendan J. Frey

Symmetries in a network connectivity regulate how the graph's functioning organizes into clustered states. Classical methods for tracing the symmetry group of a network require very high computational costs, and therefore they are of hard,…

Recently there is a growing focus on graph data, and multi-view graph clustering has become a popular area of research interest. Most of the existing methods are only applicable to homophilous graphs, yet the extensive real-world graph data…

机器学习 · 计算机科学 2024-01-08 Zichen Wen , Yawen Ling , Yazhou Ren , Tianyi Wu , Jianpeng Chen , Xiaorong Pu , Zhifeng Hao , Lifang He

Density based spatial clustering of points in $\mathbb{R}^n$ has a myriad of applications in a variety of industries. We generalise this problem to the density based clustering of lines in high-dimensional spaces, keeping in mind there…

机器学习 · 计算机科学 2024-10-04 Akanksha Das , Malay Bhattacharyya

Clustering algorithms partition a dataset into groups of similar points. The primary contribution of this article is the Multiscale Spatially-Regularized Diffusion Learning (M-SRDL) clustering algorithm, which uses spatially-regularized…

机器学习 · 计算机科学 2022-04-08 Sam L. Polk , James M. Murphy

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng