The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure

Background: The single-step covariance matrix H combines the pedigree-based relationship matrix A with the more accurate information on realized relatedness of genotyped individuals represented by the genomic relationship matrix G. In particular, to improve convergence behavior of iterative approach...

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Autores principales: Martini, Johannes W. R., Schrauf, Matías Florián, García Baccino, Carolina Andrea, Pimentel, Eduardo C. G., Munilla Leguizamon, Sebastián, Rogberg Muñoz, Andrés, Cantet, Rodolfo Juan Carlos, Reimer, Christian, Gao, Ning, Wimmer, Valentin, Simianer, Henner
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102326
https://ri.conicet.gov.ar/11336/91410
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id I19-R120-10915-102326
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Biología
Single step
Tuning parameters
Genomic selection
Matrix inverse
spellingShingle Biología
Single step
Tuning parameters
Genomic selection
Matrix inverse
Martini, Johannes W. R.
Schrauf, Matías Florián
García Baccino, Carolina Andrea
Pimentel, Eduardo C. G.
Munilla Leguizamon, Sebastián
Rogberg Muñoz, Andrés
Cantet, Rodolfo Juan Carlos
Reimer, Christian
Gao, Ning
Wimmer, Valentin
Simianer, Henner
The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
topic_facet Biología
Single step
Tuning parameters
Genomic selection
Matrix inverse
description Background: The single-step covariance matrix H combines the pedigree-based relationship matrix A with the more accurate information on realized relatedness of genotyped individuals represented by the genomic relationship matrix G. In particular, to improve convergence behavior of iterative approaches and to reduce inflation, two weights ℑ and ω have been introduced in the definition of H-1, which blend the inverse of a part of A with the inverse of G . Since the definition of this blending is based on the equation describing H-1, its impact on the structure of H is not obvious. In a joint discussion, we considered the question of the shape of H for non-trivial ℑ and ω. Results: Here, we present the general matrix H as a function of these parameters and discuss its structure and properties. Moreover, we screen for optimal values of ℑ and ω with respect to predictive ability, inflation and iterations up to convergence on a well investigated, publicly available wheat data set. Conclusion: Our results may help the reader to develop a better understanding for the effects of changes of ℑ and ω on the covariance model. In particular, we give theoretical arguments that as a general tendency, inflation will be reduced by increasing ℑ or by decreasing ω.
format Articulo
Articulo
author Martini, Johannes W. R.
Schrauf, Matías Florián
García Baccino, Carolina Andrea
Pimentel, Eduardo C. G.
Munilla Leguizamon, Sebastián
Rogberg Muñoz, Andrés
Cantet, Rodolfo Juan Carlos
Reimer, Christian
Gao, Ning
Wimmer, Valentin
Simianer, Henner
author_facet Martini, Johannes W. R.
Schrauf, Matías Florián
García Baccino, Carolina Andrea
Pimentel, Eduardo C. G.
Munilla Leguizamon, Sebastián
Rogberg Muñoz, Andrés
Cantet, Rodolfo Juan Carlos
Reimer, Christian
Gao, Ning
Wimmer, Valentin
Simianer, Henner
author_sort Martini, Johannes W. R.
title The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
title_short The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
title_full The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
title_fullStr The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
title_full_unstemmed The effect of the H<SUP>-1</SUP> scaling factors τ and ω on the structure of H in the single-step procedure
title_sort effect of the h<sup>-1</sup> scaling factors τ and ω on the structure of h in the single-step procedure
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/102326
https://ri.conicet.gov.ar/11336/91410
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