Abstract
BackgroundMulti-layer perceptron (MLP) and radial basis function neural networks (RBFNN) have been shown to be effective in genome-enabled prediction. Here, we evaluated and compared the classification performance of an MLP classifier versus that of a probabilistic neural network (PNN), to predict the probability of membership of one individual in a phenotypic class of interest, using genomic and phenotypic data as input variables. We used 16 maize and 17 wheat genomic and phenotypic datasets with different trait-environment combinations (sample sizes ranged from 290 to 300 individuals) with 1.4 k and 55 k SNP chips. Classifiers were tested using continuous traits that were categorized into three classes (upper, middle and lower) based on the empirical distribution of each trait, constructed on the basis of two percentiles (15–85 % and 30–70 %). We focused on the 15 and 30 % percentiles for the upper and lower classes for selecting the best individuals, as commonly done in genomic selection. Wheat datasets were also used with two classes. The criteria for assessing the predictive accuracy of the two classifiers were the area under the receiver operating characteristic curve (AUC) and the area under the precision-recall curve (AUCpr). Parameters of both classifiers were estimated by optimizing the AUC for a specific class of interest.ResultsThe AUC and AUCpr criteria provided enough evidence to conclude that PNN was more accurate than MLP for assigning maize and wheat lines to the correct upper, middle or lower class for the complex traits analyzed. Results for the wheat datasets with continuous traits split into two and three classes showed that the performance of PNN with three classes was higher than with two classes when classifying individuals into the upper and lower (15 or 30 %) categories.ConclusionsThe PNN classifier outperformed the MLP classifier in all 33 (maize and wheat) datasets when using AUC and AUCpr for selecting individuals of a specific class. Use of PNN with Gaussian radial basis functions seems promising in genomic selection for identifying the best individuals. Categorizing continuous traits into three classes generally provided better classification than when using two classes, because classification accuracy improved when classes were balanced.Electronic supplementary materialThe online version of this article (doi:10.1186/s12864-016-2553-1) contains supplementary material, which is available to authorized users.
Highlights
Multi-layer perceptron (MLP) and radial basis function neural networks (RBFNN) have been shown to be effective in genome-enabled prediction
The area under the receiver operating characteristic curve (ROC) curve (AUC) and area under the precision-recall curve (AUCpr) criteria provided enough evidence to conclude that probabilistic neural network (PNN) was more accurate than MLP
Use of PNN with Gaussian radial basis functions seems promising in genomic selection for identifying the best individuals
Summary
Multi-layer perceptron (MLP) and radial basis function neural networks (RBFNN) have been shown to be effective in genome-enabled prediction. Complex traits of economic importance in animal and plant breeding seem to be affected by many quantitative trait loci (QTL), each having a small effect, and are greatly influenced by the environment. Predicting these complex traits using information from dense molecular markers exploits linkage disequilibrium (LD) between. Genomic selection (GS) regression models use all available molecular marker and phenotypic data from an observed base (training population) to predict the genetic values of yet unphenotyped candidates for selection (testing population) whose marker genotypes are known. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated
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