Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data

Abstract Linear and non‐linear models used in applications of genomic selection (GS) can fit different types of responses (e.g., continuous, ordinal, binary). In recent years, several genomic‐enabled prediction models have been developed for predicting complex traits in genomic‐assisted animal and p...

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Main Authors: Paulino Pérez‐Rodríguez, Samuel Flores‐Galarza, Humberto Vaquera‐Huerta, David Hebert del Valle‐Paniagua, Osval A. Montesinos‐López, José Crossa
Format: Article
Language:English
Published: Wiley 2020-07-01
Series:The Plant Genome
Online Access:https://doi.org/10.1002/tpg2.20021
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author Paulino Pérez‐Rodríguez
Samuel Flores‐Galarza
Humberto Vaquera‐Huerta
David Hebert del Valle‐Paniagua
Osval A. Montesinos‐López
José Crossa
author_facet Paulino Pérez‐Rodríguez
Samuel Flores‐Galarza
Humberto Vaquera‐Huerta
David Hebert del Valle‐Paniagua
Osval A. Montesinos‐López
José Crossa
author_sort Paulino Pérez‐Rodríguez
collection DOAJ
description Abstract Linear and non‐linear models used in applications of genomic selection (GS) can fit different types of responses (e.g., continuous, ordinal, binary). In recent years, several genomic‐enabled prediction models have been developed for predicting complex traits in genomic‐assisted animal and plant breeding. These models include linear, non‐linear and non‐parametric models, mostly for continuous responses and less frequently for categorical responses. Several linear and non‐linear models are special cases of a more general family of statistical models known as artificial neural networks, which provide better prediction ability than other models. In this paper, we propose a Bayesian Regularized Neural Network (BRNNO) for modelling ordinal data. The proposed model was fitted using a Bayesian framework; we used the data augmentation algorithm to facilitate computations. The proposed model was fitted using the Gibbs Maximum a Posteriori and Generalized EM algorithm implemented by combining code written in C and R programming languages. The new model was tested with two real maize datasets evaluated for Septoria and GLS diseases and was compared with the Bayesian Ordered Probit Model (BOPM). Results indicated that the BRNNO model performed better in terms of genomic‐based prediction than the BOPM model.
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spelling doaj.art-f191b33a871c4449a55b526cf25e467c2022-12-21T21:03:47ZengWileyThe Plant Genome1940-33722020-07-01132n/an/a10.1002/tpg2.20021Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal dataPaulino Pérez‐Rodríguez0Samuel Flores‐Galarza1Humberto Vaquera‐Huerta2David Hebert del Valle‐Paniagua3Osval A. Montesinos‐López4José Crossa5Colegio de Postgraduados CP 56230, Montecillos, Edo. de MéxicoColegio de Postgraduados CP 56230, Montecillos, Edo. de MéxicoColegio de Postgraduados CP 56230, Montecillos, Edo. de MéxicoColegio de Postgraduados CP 56230, Montecillos, Edo. de MéxicoFacultad de Telemática, Universidad de Colima Colima 28040 MéxicoColegio de Postgraduados CP 56230, Montecillos, Edo. de MéxicoAbstract Linear and non‐linear models used in applications of genomic selection (GS) can fit different types of responses (e.g., continuous, ordinal, binary). In recent years, several genomic‐enabled prediction models have been developed for predicting complex traits in genomic‐assisted animal and plant breeding. These models include linear, non‐linear and non‐parametric models, mostly for continuous responses and less frequently for categorical responses. Several linear and non‐linear models are special cases of a more general family of statistical models known as artificial neural networks, which provide better prediction ability than other models. In this paper, we propose a Bayesian Regularized Neural Network (BRNNO) for modelling ordinal data. The proposed model was fitted using a Bayesian framework; we used the data augmentation algorithm to facilitate computations. The proposed model was fitted using the Gibbs Maximum a Posteriori and Generalized EM algorithm implemented by combining code written in C and R programming languages. The new model was tested with two real maize datasets evaluated for Septoria and GLS diseases and was compared with the Bayesian Ordered Probit Model (BOPM). Results indicated that the BRNNO model performed better in terms of genomic‐based prediction than the BOPM model.https://doi.org/10.1002/tpg2.20021
spellingShingle Paulino Pérez‐Rodríguez
Samuel Flores‐Galarza
Humberto Vaquera‐Huerta
David Hebert del Valle‐Paniagua
Osval A. Montesinos‐López
José Crossa
Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
The Plant Genome
title Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
title_full Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
title_fullStr Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
title_full_unstemmed Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
title_short Genome‐based prediction of Bayesian linear and non‐linear regression models for ordinal data
title_sort genome based prediction of bayesian linear and non linear regression models for ordinal data
url https://doi.org/10.1002/tpg2.20021
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