scholarly journals Research Article A comparison of regression methods based on dimensional reduction for genomic prediction

2021 ◽  
Vol 20 (2) ◽  
Author(s):  
J.A. da Costa ◽  
C.F. Azevedo ◽  
M. Nascimento ◽  
F.F. e Silva ◽  
M.D.V. de Resende ◽  
...  
2017 ◽  
Author(s):  
Hao Cheng ◽  
Kadir Kizilkaya ◽  
Jian Zeng ◽  
Dorian Garrick ◽  
Rohan Fernando

ABSTRACTBayesian multiple-regression methods incorporating different mixture priors for marker effects are widely used in genomic prediction. Improvement in prediction accuracies from using those methods, such as BayesB, BayesC and BayesCπ, have been shown in single-trait analyses with both simulated data and real data. These methods have been extended to multi-trait analyses, but only under a specific limited circumstance that assumes a locus affects all the traits or none of them. In this paper, we develop and implement the most general multi-trait BayesCΠ and BayesB methods allowing a broader range of mixture priors. Further, we compare them to single-trait methods and the “restricted” multi-trait formulation using real data. In those data analyses, significant higher prediction accuracies were sometimes observed from these new broad-based multi-trait Bayesian multiple-regression methods. The software tool JWAS offers routines to perform the analyses.


2021 ◽  
Vol 20 (1) ◽  
Author(s):  
F.R.F. Teixeira ◽  
M. Nascimento ◽  
P.R. Cecon ◽  
C.D. Cruz ◽  
F.F. e Silva ◽  
...  

2005 ◽  
Vol 2 (1) ◽  
Author(s):  
Luigi D'Ambra ◽  
Pietro Amenta ◽  
Michele Gallo

In case one or more sets of variables are available, the use of dimensional reduction methods could be necessary. In this contest, after a review on the link between the Shrinkage Regression Methods and Dimensional Reduction Methods, authors provide a different multivariate extension of the Garthwaite's PLS approach (1994) where a simple linear regression coefficients framework could be given for several dimensional reduction methods.


animal ◽  
2018 ◽  
Vol 12 (6) ◽  
pp. 1111-1117 ◽  
Author(s):  
H. Song ◽  
L. Li ◽  
Q. Zhang ◽  
S. Zhang ◽  
X. Ding

Heredity ◽  
2021 ◽  
Author(s):  
Abelardo Montesinos-López ◽  
Osval Antonio Montesinos-López ◽  
José Cricelio Montesinos-López ◽  
Carlos Alberto Flores-Cortes ◽  
Roberto de la Rosa ◽  
...  

AbstractThe primary objective of this paper is to provide a guide on implementing Bayesian generalized kernel regression methods for genomic prediction in the statistical software R. Such methods are quite efficient for capturing complex non-linear patterns that conventional linear regression models cannot. Furthermore, these methods are also powerful for leveraging environmental covariates, such as genotype × environment (G×E) prediction, among others. In this study we provide the building process of seven kernel methods: linear, polynomial, sigmoid, Gaussian, Exponential, Arc-cosine 1 and Arc-cosine L. Additionally, we highlight illustrative examples for implementing exact kernel methods for genomic prediction under a single-environment, a multi-environment and multi-trait framework, as well as for the implementation of sparse kernel methods under a multi-environment framework. These examples are followed by a discussion on the strengths and limitations of kernel methods and, subsequently by conclusions about the main contributions of this paper.


Author(s):  
Charlotte Brault ◽  
Agnès Doligez ◽  
Loïc le Cunff ◽  
Aude Coupel-Ledru ◽  
Thierry Simonneau ◽  
...  

Abstract Viticulture has to cope with climate change and to decrease pesticide inputs, while maintaining yield and wine quality. Breeding is a key lever to meet this challenge, and genomic prediction a promising tool to accelerate breeding programs. Multivariate methods are potentially more accurate than univariate ones. Moreover, some prediction methods also provide marker selection, thus allowing quantitative trait loci (QTLs) detection and the identification of positional candidate genes. To study both genomic prediction and QTL detection for drought-related traits in grapevine, we applied several methods, interval mapping as well as univariate and multivariate penalized regression, in a bi-parental progeny. With a dense genetic map, we simulated two traits under four QTL configurations. The penalized regression method Elastic Net (EN) for genomic prediction, and controlling the marginal False Discovery Rate on EN selected markers to prioritize the QTLs. Indeed, penalized methods were more powerful than interval mapping for QTL detection across various genetic architectures. Multivariate prediction did not perform better than its univariate counterpart, despite strong genetic correlation between traits. Using 14 traits measured in semi-controlled conditions under different watering conditions, penalized regression methods proved very efficient for intra-population prediction whatever the genetic architecture of the trait, with predictive abilities reaching 0.68. Compared to a previous study on the same traits, these methods applied on a denser map found new QTLs controlling traits linked to drought tolerance and provided relevant candidate genes. Overall, these findings provide a strong evidence base for implementing genomic prediction in grapevine breeding.


Genetics ◽  
2018 ◽  
Vol 209 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Hao Cheng ◽  
Kadir Kizilkaya ◽  
Jian Zeng ◽  
Dorian Garrick ◽  
Rohan Fernando

2020 ◽  
Author(s):  
Charlotte Brault ◽  
Agnès Doligez ◽  
Loïc le Cunff ◽  
Aude Coupel-Ledru ◽  
Thierry Simonneau ◽  
...  

ABSTRACTViticulture has to cope with climate change and decrease pesticide inputs, while maintaining yield and wine quality. Breeding is a potential key to meet this challenge, and genomic prediction is a promising tool to accelerate breeding programs, multivariate methods being potentially more accurate than univariate ones. Moreover, some prediction methods also provide marker selection, thus allowing quantitative trait loci (QTLs) detection and allowing the identification of positional candidate genes. We applied several methods, interval mapping as well as univariate and multivariate penalized regression, in a bi-parental grapevine progeny, in order to compare their ability to predict genotypic values and detect QTLs. We used a new denser genetic map, simulated two traits under four QTL configurations, and re-analyzed 14 traits measured in semi-controlled conditions under different watering conditions. Using simulations, we recommend the penalized regression method Elastic Net (EN) as a default for genomic prediction, and controlling the marginal False Discovery Rate on EN selected markers to prioritize the QTLs. Indeed, penalized methods were more powerful than interval mapping for QTL detection across various genetic architectures. Multivariate prediction did not perform better than its univariate counterpart, despite strong genetic correlation between traits. Using experimental data, penalized regression methods proved as very efficient for intra-population prediction whatever the genetic architecture of the trait, with accuracies reaching 0.68. These methods applied on the denser map found new QTLs controlling traits linked to drought tolerance and provided relevant candidate genes. These methods can be applied to other traits and species.


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