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A Multivariate Poisson Deep Learning Model for Genomic Prediction of Count Data.

Osval Antonio Montesinos-López1, José Cricelio Montesinos-López2, Pawan Singh3

  • 1Facultad de Telemática, Universidad de Colima, Colima, 28040, México.

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A new multivariate Poisson deep neural network (MPDN) model advances genomic selection (GS) for predicting multiple count outcomes simultaneously. While outperforming univariate deep learning models, it matched conventional regression in prediction accuracy for count data.

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GenPredGenomic selection and genomic predictionPoisson regression modelsShared data resourcescount data of wheat linesmultivariate Poisson deep neural networkunivariate Poisson deep neural network

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Area of Science:

  • Genetics and Animal Breeding
  • Statistical Genomics
  • Machine Learning Applications

Background:

  • Genomic selection (GS) is a predictive methodology revolutionizing plant and animal development.
  • Existing GS models lack universal applicability, necessitating specific methods for diverse output types.
  • Efficient methodologies for multivariate count data outcomes in GS are currently lacking.

Purpose of the Study:

  • To propose a novel multivariate Poisson deep neural network (MPDN) model.
  • To enable simultaneous genomic prediction of multiple count outcomes.
  • To address the gap in efficient methodologies for multivariate count data in GS.

Main Methods:

  • Developed an MPDN model utilizing Poisson distribution's minus log-likelihood as a loss function.
  • Employed rectified linear unit (RELU) activation in hidden layers for nonlinear pattern capture.
  • Used exponential activation in the output layer to ensure count-scale predictions.
  • Implemented models in Tensorflow (back-end) and Keras (front-end).

Main Results:

  • The proposed MPDN model demonstrated superior performance compared to univariate Poisson deep neural network models.
  • MPDN prediction accuracy was comparable to univariate generalized Poisson regression models.
  • Deep learning models were implementable on moderate to large datasets, a key advantage.

Conclusions:

  • The MPDN model offers a viable approach for multivariate count data in genomic prediction.
  • While competitive, MPDN did not surpass established generalized Poisson regression models in predictive power.
  • The Tensorflow/Keras implementation provides scalability for large-scale genomic datasets.