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This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

The problem of clustering large complex networks plays a key role in several scientific fields ranging from Biology to Sociology and Computer Science. Many approaches to clustering complex networks are based on the idea of maximizing a…

Social and Information Networks · Computer Science 2013-10-17 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Most generative models for clustering implicitly assume that the number of data points in each cluster grows linearly with the total number of data points. Finite mixture models, Dirichlet process mixture models, and Pitman--Yor process…

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

Machine Learning · Computer Science 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

With the inflation of the data, clustering analysis, as a branch of unsupervised learning, lacks unified understanding and application of its mathematical law. Based on the view of fixed point, this paper restates the model-based clustering…

Machine Learning · Computer Science 2020-02-20 Jianhao Ding , Lansheng Han

We introduce a copula mixture model to perform dependency-seeking clustering when co-occurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend…

Methodology · Statistics 2012-07-03 Melanie Rey , Volker Roth

Clustering aims to group similar objects together while separating dissimilar ones apart. Thereafter, structures hidden in data can be identified to help understand data in an unsupervised manner. Traditional clustering methods such as…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Jiawei Yao , Enbei Liu , Maham Rashid , Juhua Hu

We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as a high-dimensional data point and then cluster these data…

Dynamical Systems · Mathematics 2022-12-27 Wai Ming Chau , Shingyu Leung

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

Machine Learning · Computer Science 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

With the advance of technology, entities can be observed in multiple views. Multiple views containing different types of features can be used for clustering. Although multi-view clustering has been successfully applied in many applications,…

Machine Learning · Computer Science 2016-04-20 Weixiang Shao , Jiawei Zhang , Lifang He , Philip S. Yu

Longitudinal studies are vital to understanding dynamic changes of the planet, but labels (e.g., buildings, facilities, roads) are often available only for a single point in time. We propose a general model, Temporal Cluster Matching (TCM),…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Caleb Robinson , Anthony Ortiz , Juan M. Lavista Ferres , Brandon Anderson , Daniel E. Ho

Mixture models combine multiple components into a single probability density function. They are a natural statistical model for many situations in astronomy, such as surveys containing multiple types of objects, cluster analysis in various…

Instrumentation and Methods for Astrophysics · Physics 2019-01-30 Michael A. Kuhn , Eric D. Feigelson

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

Methodology · Statistics 2024-11-14 Michio Yamamoto , Yoshikazu Terada

We construct a method by which we can calculate the precision with which an algorithm identifies the shape of a cluster. We present our results for several well known clustering algorithms and suggest ways to improve performance for newer…

Computational Geometry · Computer Science 2017-07-27 Clark Alexander , Sofya Akhmametyeva

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

Social and Information Networks · Computer Science 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

In this paper we extend an earlier result within Dempster-Shafer theory ["Fast Dempster-Shafer Clustering Using a Neural Network Structure," in Proc. Seventh Int. Conf. Information Processing and Management of Uncertainty in Knowledge-Based…

Artificial Intelligence · Computer Science 2016-11-15 Johan Schubert

Identifying relationships between molecular variations and their clinical presentations has been challenged by the heterogeneous causes of a disease. It is imperative to unveil the relationship between the high dimensional molecular…

Methodology · Statistics 2021-09-02 Wennan Chang , Changlin Wan , Yong Zang , Chi Zhang , Sha Cao

This study introduces a predictive maintenance strategy for high pressure industrial compressors using sensor data and features derived from unsupervised clustering integrated into classification models. The goal is to enhance model…

Machine Learning · Computer Science 2024-11-22 Alessandro Costa , Emilio Mastriani , Federico Incardona , Kevin Munari , Sebastiano Spinello

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou