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Whole-Genome Regression and Prediction Methods Applied to Plant and Animal Breeding

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TLDR
An overview of available methods for implementing parametric WGR models is provided, selected topics that emerge in applications are discussed, and a general discussion of lessons learned from simulation and empirical data analysis in the last decade are presented.
Abstract
Genomic-enabled prediction is becoming increasingly important in animal and plant breeding and is also receiving attention in human genetics. Deriving accurate predictions of complex traits requires implementing whole-genome regression (WGR) models where phenotypes are regressed on thousands of markers concurrently. Methods exist that allow implementing these large-p with small-n regressions, and genome-enabled selection (GS) is being implemented in several plant and animal breeding programs. The list of available methods is long, and the relationships between them have not been fully addressed. In this article we provide an overview of available methods for implementing parametric WGR models, discuss selected topics that emerge in applications, and present a general discussion of lessons learned from simulation and empirical data analysis in the last decade.

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MODE for detecting and estimating genetic causal variants

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Weighted kernels improve multi-environment genomic prediction

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Bayesian methods for genomic association of chromosomic regions considering the additive-dominance model

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psBLUP: incorporating marker proximity for improving genomic prediction accuracy

TL;DR: In this paper , a regularized linear model (namely psBLUP: proximity smoothed BLUP) is proposed to explicitly model the dependence between predictor effects, which can improve accuracy compared to the standard methods on both Arabidopsis thaliana data and Barley data.
References
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Regression Shrinkage and Selection via the Lasso

TL;DR: A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
Book

The Elements of Statistical Learning: Data Mining, Inference, and Prediction

TL;DR: In this paper, the authors describe the important ideas in these areas in a common conceptual framework, and the emphasis is on concepts rather than mathematics, with a liberal use of color graphics.
Journal ArticleDOI

Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

TL;DR: The analogy between images and statistical mechanics systems is made and the analogous operation under the posterior distribution yields the maximum a posteriori (MAP) estimate of the image given the degraded observations, creating a highly parallel ``relaxation'' algorithm for MAP estimation.
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