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In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

应用统计 · 统计学 2016-03-09 Tapesh Santra

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

机器学习 · 计算机科学 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

统计方法学 · 统计学 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

A new method for hierarchical clustering is presented. It combines treelets, a particular multiscale decomposition of data, with a projection on a reproducing kernel Hilbert space. The proposed approach, called kernel treelets (KT),…

机器学习 · 统计学 2019-07-24 Hedi Xia , Hector D. Ceniceros

In this paper, we study the modeling and the classification of functional data presenting regime changes over time. We propose a new model-based functional mixture discriminant analysis approach based on a specific hidden process regression…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Hervé Glotin , Allou Samé

Given two sets of functional data having a common underlying mean function but different degrees of distortion in time measurements, we provide a method of estimating the time transformation necessary to align (or `register') them. We prove…

统计方法学 · 统计学 2016-04-21 Dibyendu Bhaumik , Radhendushka Srivastava , Debasis Sengupta

For the past decades we have experienced an enormous expansion of the accumulated data that humanity produces. Daily a numerous number of smart devices, usually interconnected over internet, produce vast, real-values datasets. Time series…

人工智能 · 计算机科学 2020-01-08 Konstantinos F. Xylogiannopoulos

In machine learning it is common to interpret each data point as a vector in Euclidean space. However the data may actually be functional i.e.\ each data point is a function of some variable such as time and the function is discretely…

计算机视觉与模式识别 · 计算机科学 2017-04-14 Stephen Tierney , Junbin Gao , Yi Guo , Zheng Zhang

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

统计方法学 · 统计学 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

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

Gene expression data is often collected in time series experiments, under different experimental conditions. There may be genes that have very different gene expression profiles over time, but that adjust their gene expression patterns in…

统计方法学 · 统计学 2021-12-02 Susana Conde , Shahin Tavakoli , Daphne Ezer

Multivariate time-dependent data, where multiple features are observed over time for a set of individuals, are increasingly widespread in many application domains. To model these data we need to account for relations among both time…

统计方法学 · 统计学 2021-04-08 Alessandro Casa , Charles Bouveyron , Elena Erosheva , Giovanna Menardi

We present a new mixture model-based discriminant analysis approach for functional data using a specific hidden process regression model. The approach allows for fitting flexible curve-models to each class of complex-shaped curves…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Heré Glotin , Céline Rabouy

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

统计方法学 · 统计学 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

Time-course gene expression data such as yeast cell cycle data may be periodically expressed. To cluster such data, currently used Fourier series approximations of periodic gene expressions have been found not to be sufficiently adequate to…

统计方法学 · 统计学 2011-09-23 K. Wang , S. K. Ng , G. J. McLachlan

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

机器学习 · 计算机科学 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Motivated by an application to the clustering of milking kinetics of dairy goats, we propose in this paper a novel approach for functional data clustering. This issue is of growing interest in precision livestock farming that has been…

应用统计 · 统计学 2019-07-23 C. Denis , E. Lebarbier , C. Lévy-Leduc , O. Martin , L. Sansonnet

This paper explores the critical role of data clustering in data science, emphasizing its methodologies, tools, and diverse applications. Traditional techniques, such as partitional and hierarchical clustering, are analyzed alongside…

人工智能 · 计算机科学 2025-10-07 Tai Dinh , Wong Hauchi , Daniil Lisik , Michal Koren , Dat Tran , Philip S. Yu , Joaquín Torres-Sospedra

The description of complex configuration is a difficult issue. We present a powerful technique for cluster identification and characterization. The scheme is designed to treat with and analyze the experimental and/or simulation data from…

统计力学 · 物理学 2013-08-29 Guangcai Zhang , Aiguo Xu , Guo Lu , Zeyao Mo

Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of the most popular methods because it is easy to implement…

机器学习 · 统计学 2020-09-23 Congyuan Yang , Carey E. Priebe , Youngser Park , David J. Marchette