Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data

Modern investigation techniques (e.g., metabolomic, proteomic, lipidomic, genomic, transcriptomic, phenotypic), allow to collect high-dimensional data, where the number of observations is smaller than the number of features. In such cases, for statistical analyzing, standard methods cannot be applie...

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Autores principales:	Adam Mieldzioc, Monika Mokrzycka, Aneta Sawikowska
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	covariance structure compound symmetry matrix first-order autoregression matrix Toeplitz matrix estimation structure identification Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/73c315c0f9af43f1b48a7627fe433471
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id	oai:doaj.org-article:73c315c0f9af43f1b48a7627fe433471
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spelling	oai:doaj.org-article:73c315c0f9af43f1b48a7627fe4334712021-11-25T18:59:21ZIdentification of Block-Structured Covariance Matrix on an Example of Metabolomic Data10.3390/separations81102052297-8739https://doaj.org/article/73c315c0f9af43f1b48a7627fe4334712021-11-01T00:00:00Zhttps://www.mdpi.com/2297-8739/8/11/205https://doaj.org/toc/2297-8739Modern investigation techniques (e.g., metabolomic, proteomic, lipidomic, genomic, transcriptomic, phenotypic), allow to collect high-dimensional data, where the number of observations is smaller than the number of features. In such cases, for statistical analyzing, standard methods cannot be applied or lead to ill-conditioned estimators of the covariance matrix. To analyze the data, we need an estimator of the covariance matrix with good properties (e.g., positive definiteness), and therefore covariance matrix identification is crucial. The paper presents an approach to determine the block-structured estimator of the covariance matrix based on an example of metabolomic data on the drought resistance of barley. This method can be used in many fields of science, e.g., in agriculture, medicine, food and nutritional sciences, toxicology, functional genomics and nutrigenomics.Adam MieldziocMonika MokrzyckaAneta SawikowskaMDPI AGarticlecovariance structurecompound symmetry matrixfirst-order autoregression matrixToeplitz matrixestimationstructure identificationPhysicsQC1-999ChemistryQD1-999ENSeparations, Vol 8, Iss 205, p 205 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	covariance structure compound symmetry matrix first-order autoregression matrix Toeplitz matrix estimation structure identification Physics QC1-999 Chemistry QD1-999
spellingShingle	covariance structure compound symmetry matrix first-order autoregression matrix Toeplitz matrix estimation structure identification Physics QC1-999 Chemistry QD1-999 Adam Mieldzioc Monika Mokrzycka Aneta Sawikowska Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
description	Modern investigation techniques (e.g., metabolomic, proteomic, lipidomic, genomic, transcriptomic, phenotypic), allow to collect high-dimensional data, where the number of observations is smaller than the number of features. In such cases, for statistical analyzing, standard methods cannot be applied or lead to ill-conditioned estimators of the covariance matrix. To analyze the data, we need an estimator of the covariance matrix with good properties (e.g., positive definiteness), and therefore covariance matrix identification is crucial. The paper presents an approach to determine the block-structured estimator of the covariance matrix based on an example of metabolomic data on the drought resistance of barley. This method can be used in many fields of science, e.g., in agriculture, medicine, food and nutritional sciences, toxicology, functional genomics and nutrigenomics.
format	article
author	Adam Mieldzioc Monika Mokrzycka Aneta Sawikowska
author_facet	Adam Mieldzioc Monika Mokrzycka Aneta Sawikowska
author_sort	Adam Mieldzioc
title	Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
title_short	Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
title_full	Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
title_fullStr	Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
title_full_unstemmed	Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data
title_sort	identification of block-structured covariance matrix on an example of metabolomic data
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/73c315c0f9af43f1b48a7627fe433471
work_keys_str_mv	AT adammieldzioc identificationofblockstructuredcovariancematrixonanexampleofmetabolomicdata AT monikamokrzycka identificationofblockstructuredcovariancematrixonanexampleofmetabolomicdata AT anetasawikowska identificationofblockstructuredcovariancematrixonanexampleofmetabolomicdata
_version_	1718410469042028544

Identification of Block-Structured Covariance Matrix on an Example of Metabolomic Data

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