Orthonormal pairwise logratio selection (OPALS) algorithm for compositional data analysis in high dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73631945" target="_blank" >RIV/61989592:15310/25:73631945 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989592:15510/25:73631945

Výsledek na webu

<a href="https://academic.oup.com/bioinformaticsadvances/article/5/1/vbaf229/8270648?login=true" target="_blank" >https://academic.oup.com/bioinformaticsadvances/article/5/1/vbaf229/8270648?login=true</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/bioadv/vbaf229" target="_blank" >10.1093/bioadv/vbaf229</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Orthonormal pairwise logratio selection (OPALS) algorithm for compositional data analysis in high dimensions

Popis výsledku v původním jazyce

In the analysis of compositional data, the most fundamental information is conveyed by the pairwise logratios between components. While logratio coordinate representations, such as balances and pivot coordinates, are widely used to aggregate such information into higher-level relationships, there are instances where a fine-grained representation using all pairwise logratios can be advantageous. Performing this within an orthonormal (or orthogonal) logratio coordinate framework becomes particularly challenging for high-dimensional compositions, since a composition with D parts results in pairwise logratios (excluding reciprocals). This work presents an efficient algorithm (OPALS) based on Latin squares theory to obtain all orthonormal pairwise logratios from just logratio coordinate systems. Thus, the computational burden associated with using such representation for data analysis and modelling in high dimensions is notably alleviated, or even made feasible. Moreover, the relationship between estimates from orthonormal pairwise logratios and ordinary pivot coordinates is discussed in the context of regression and classification analysis. The performance and properties of the method are illustrated through two examples using contemporary molecular biology data.

Název v anglickém jazyce

Orthonormal pairwise logratio selection (OPALS) algorithm for compositional data analysis in high dimensions

Popis výsledku anglicky

In the analysis of compositional data, the most fundamental information is conveyed by the pairwise logratios between components. While logratio coordinate representations, such as balances and pivot coordinates, are widely used to aggregate such information into higher-level relationships, there are instances where a fine-grained representation using all pairwise logratios can be advantageous. Performing this within an orthonormal (or orthogonal) logratio coordinate framework becomes particularly challenging for high-dimensional compositions, since a composition with D parts results in pairwise logratios (excluding reciprocals). This work presents an efficient algorithm (OPALS) based on Latin squares theory to obtain all orthonormal pairwise logratios from just logratio coordinate systems. Thus, the computational burden associated with using such representation for data analysis and modelling in high dimensions is notably alleviated, or even made feasible. Moreover, the relationship between estimates from orthonormal pairwise logratios and ordinary pivot coordinates is discussed in the context of regression and classification analysis. The performance and properties of the method are illustrated through two examples using contemporary molecular biology data.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

BIOINFORMATICS ADVANCES

ISSN

—

e-ISSN

2635-0041

Svazek periodika

5

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

1-15

Kód UT WoS článku

001620953800001

EID výsledku v databázi Scopus

2-s2.0-105022810197