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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

Principal component analysis (PCA), the most popular dimension-reduction technique, has been used to analyze high-dimensional data in many areas. It discovers the homogeneity within the data and creates a reduced feature space to capture as…

统计方法学 · 统计学 2026-03-24 Daning Bi , Le Chang , Yanrong Yang

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

机器学习 · 计算机科学 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

With the rapid development of drone technology, the application of drones equipped with visual sensors for building inspection and surveillance has attracted much attention. View planning aims to find a set of near-optimal viewpoints for…

计算机视觉与模式识别 · 计算机科学 2024-08-06 Yongshuai Zheng , Guoliang Liu , Yan Ding , Guohui Tian

When dense granular gases are continuously excited under microgravity conditions, spatial inhomogeneities of the particle number density can emerge. A significant share of particles may collect in strongly overpopulated regions, called…

软凝聚态物质 · 物理学 2025-06-19 Sai Preetham Sata , Ralf Stannarius , Benjamin Noack , Dmitry Puzyrev

With inspiration from Random Forests (RF) in the context of classification, a new clustering ensemble method---Cluster Forests (CF) is proposed. Geometrically, CF randomly probes a high-dimensional data cloud to obtain "good local…

统计方法学 · 统计学 2013-06-07 Donghui Yan , Aiyou Chen , Michael I. Jordan

In this paper, we introduce the Dynamic Modularity-Spectral Algorithm (DynMSA), a novel approach to identify clusters of stocks with high intra-cluster correlations and low inter-cluster correlations by combining Random Matrix Theory with…

投资组合管理 · 定量金融 2024-07-08 Philipp Wirth , Francesca Medda , Thomas Schröder

Recent methods for learning a linear subspace from data corrupted by outliers are based on convex $\ell_1$ and nuclear norm optimization and require the dimension of the subspace and the number of outliers to be sufficiently small. In sharp…

机器学习 · 计算机科学 2018-12-27 Zhihui Zhu , Yifan Wang , Daniel P. Robinson , Daniel Q. Naiman , Rene Vidal , Manolis C. Tsakiris

Gaussian Mixture Models are one of the most studied and mature models in unsupervised learning. However, outliers are often present in the data and could influence the cluster estimation. In this paper, we study a new model that assumes…

机器学习 · 统计学 2020-03-24 Sida Liu , Adrian Barbu

Discrete mixture models provide a well-known basis for effective clustering algorithms, although technical challenges have limited their scope. In the context of gene-expression data analysis, a model is presented that mixes over a finite…

统计方法学 · 统计学 2012-11-12 Michael A. Newton , Lisa M. Chung

Multi-view clustering integrates multiple feature sets, which reveal distinct aspects of the data and provide complementary information to each other, to improve the clustering performance. It remains challenging to effectively exploit…

机器学习 · 计算机科学 2020-07-28 Shi-Xun Lina , Guo Zhongb , Ting Shu

Subset selection is an important component in evolutionary multiobjective optimization (EMO) algorithms. Clustering, as a classic method to group similar data points together, has been used for subset selection in some fields. However,…

神经与进化计算 · 计算机科学 2021-08-31 Weiyu Chen , Hisao Ishibuchi , Ke Shang

The key in agglomerative clustering is to define the affinity measure between two sets. A novel agglomerative clustering method is proposed by utilizing the path integral to define the affinity measure. Firstly, the path integral descriptor…

计算机视觉与模式识别 · 计算机科学 2015-08-10 Wei-Ya Ren , Shuo-Hao Li , Qiang Guo , Guo-Hui Li , Jun Zhang

This paper develops a novel hybrid approach for estimating the mixture model of $t$-factor analyzers (MtFA) that employs multivariate $t$-distribution and factor model to cluster and characterize grouped data. The traditional estimation…

统计方法学 · 统计学 2025-08-06 Kazeem Kareem , Fan Dai

In this paper, we propose a new fuzzy clustering algorithm based on the mode-seeking framework. Given a dataset in $\mathbb{R}^d$, we define regions of high density that we call cluster cores. We then consider a random walk on a…

机器学习 · 统计学 2016-06-23 Thomas Bonis , Steve Oudot

In many scientific domains, clustering aims to reveal interpretable latent structure that reflects relevant subpopulations or processes. Widely used Bayesian mixture models for model-based clustering often produce overlapping or redundant…

统计方法学 · 统计学 2025-10-13 Ziyi Song , Federico Camerlenghi , Weining Shen , Michele Guindani , Mario Beraha

Community detection based on modularity maximization is one of the most widely used approaches for uncovering mesoscale structures in complex networks. However, it is well known that the modularity function exhibits a highly degenerate…

综合经济学 · 经济学 2026-02-26 Francesca Grassetti , Rossana Mastrandrea

Geometric model fitting is a fundamental task in computer graphics and computer vision. However, most geometric model fitting methods are unable to fit an arbitrary geometric model (e.g. a surface with holes) to incomplete data, due to that…

图形学 · 计算机科学 2016-10-18 Zongliang Zhang , Jonathan Li , Yulan Guo , Yangbin Lin , Ming Cheng , Cheng Wang

Density-based cluster mining is known to serve a broad range of applications ranging from stock trade analysis to moving object monitoring. Although methods for efficient extraction of density-based clusters have been studied in the…

数据库 · 计算机科学 2011-11-01 Di Yang , Elke A. Rundensteiner , Matthew O. Ward

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik