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Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

机器学习 · 计算机科学 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

社会与信息网络 · 计算机科学 2021-10-19 Jimit Majmudar , Stephen Vavasis

Spectral clustering is a powerful tool for unsupervised data analysis. In this paper, we propose a context-aware hypergraph similarity measure (CAHSM), which leads to robust spectral clustering in the case of noisy data. We construct three…

计算机视觉与模式识别 · 计算机科学 2016-11-15 Xi Li , Weiming Hu , Chunhua Shen , Anthony Dick , Zhongfei Zhang

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

机器学习 · 计算机科学 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

机器学习 · 计算机科学 2014-07-30 Fabricio Olivetti de França

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

计算几何 · 计算机科学 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher

In today's data-driven digital era, the amount as well as complexity, such as multi-view, non-Euclidean, and multi-relational, of the collected data are growing exponentially or even faster. Clustering, which unsupervisely extracts valid…

机器学习 · 计算机科学 2025-01-10 Zhao Kang , Xuanting Xie , Bingheng Li , Erlin Pan

The high dimensionality of hyperspectral images often results in the degradation of clustering performance. Due to the powerful ability of deep feature extraction and non-linear feature representation, the clustering algorithm based on deep…

机器学习 · 计算机科学 2019-04-02 Jinguang Sun , Wanli Wang , Xian Wei , Li Fang , Xiaoliang Tang , Yusheng Xu , Hui Yu , Wei Yao

Multimodal graphs, which integrate unstructured heterogeneous data with structured interconnections, offer substantial real-world utility but remain insufficiently explored in unsupervised learning. In this work, we initiate the study of…

人工智能 · 计算机科学 2025-07-22 Zhaochen Guo , Zhixiang Shen , Xuanting Xie , Liangjian Wen , Zhao Kang

Cluster analysis which focuses on the grouping and categorization of similar elements is widely used in various fields of research. Inspired by the phenomenon of atomic fission, a novel density-based clustering algorithm is proposed in this…

机器学习 · 计算机科学 2020-04-28 Shizhan Lu

We study the localization of a cluster of activated vertices in a graph, from adaptively designed compressive measurements. We propose a hierarchical partitioning of the graph that groups the activated vertices into few partitions, so that…

机器学习 · 统计学 2014-02-17 Akshay Krishnamurthy , James Sharpnack , Aarti Singh

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

数据库 · 计算机科学 2016-10-03 Till Schäfer , Petra Mutzel

This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data. By examining the topology of small regions around each point, one can…

代数拓扑 · 数学 2022-05-25 Bernadette J Stolz , Jared Tanner , Heather A Harrington , Vidit Nanda

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

基因组学 · 定量生物学 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange

Clustering is an important topic in algorithms, and has a number of applications in machine learning, computer vision, statistics, and several other research disciplines. Traditional objectives of graph clustering are to find clusters with…

机器学习 · 计算机科学 2020-11-11 Steinar Laenen , He Sun

Clustering of high-dimensional data sets is a growing need in artificial intelligence, machine learning and pattern recognition. In this paper, we propose a new clustering method based on a combinatorial-topological approach applied to…

机器学习 · 计算机科学 2025-03-12 Mauricio Toledo-Acosta , Luis Ángel Ramos-García , Jorge Hermosillo-Valadez

Complex networks constitute the backbones of many complex systems such as social networks. Detecting the community structure in a complex network is both a challenging and a computationally expensive task. In this paper, we present the…

社会与信息网络 · 计算机科学 2017-07-11 Eduar Castrillo , Elizabeth León , Jonatan Gómez

This article proposes an active learning method for high dimensional data, based on intrinsic data geometries learned through diffusion processes on graphs. Diffusion distances are used to parametrize low-dimensional structures on the…

机器学习 · 计算机科学 2019-05-31 Mauro Maggioni , James M. Murphy