Clustering multivariate functional data in group-specific functional subspaces
نویسندگان
چکیده
منابع مشابه
Clustering multivariate functional data
Model-based clustering is considered for Gaussian multivariate functional data as an extension of the univariate functional setting. Principal components analysis is introduced and used to define an approximation of the notion of density for multivariate functional data. An EM like algorithm is proposed to estimate the parameters of the reduced model. Application on climatology data illustrates...
متن کاملClustering multivariate functional data with phase variation.
When functional data come as multiple curves per subject, characterizing the source of variations is not a trivial problem. The complexity of the problem goes deeper when there is phase variation in addition to amplitude variation. We consider clustering problem with multivariate functional data that have phase variations among the functional variables. We propose a conditional subject-specific...
متن کاملModel-based clustering for multivariate functional data
This paper proposes the first model-based clustering algorithm for multivariate functional data. After introducing multivariate functional principal components analysis (MFPCA), a parametric mixture model, based on the assumption of normality of the principal components, is defined and estimated by an EM-like algorithm. The main advantage of the proposed model is its ability to take into accoun...
متن کاملModel-based clustering of time series in group-specific functional subspaces
This work develops a general procedure for clustering functional data which adapts the clustering method High Dimensional Data Clustering (HDDC), originally proposed in the multivariate context. The resulting clustering method, called funHDDC, is based on a functional latent mixture model which fits the functional data in group-specific functional subspaces. By constraining model parameters wit...
متن کاملCovariance-based Clustering in Multivariate and Functional Data Analysis
In this paper we propose a new algorithm to perform clustering of multivariate and functional data. We study the case of two populations different in their covariances, rather than in their means. The algorithm relies on a proper quantification of distance between the estimated covariance operators of the populations, and subdivides data in two groups maximising the distance between their induc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Statistics
سال: 2020
ISSN: 0943-4062,1613-9658
DOI: 10.1007/s00180-020-00958-4