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Effects of underlying gene-regulation network structure on prediction accuracy in high-dimensional regression

Yuichi Okinaga, Daisuke Kyogoku, Satoshi Kondo, Atsushi J. Nagano, Kei Hirose
doi: https://doi.org/10.1101/2020.09.11.293456
Yuichi Okinaga
*Graduate School of Mathematics, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan
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  • For correspondence: okinaga.yuichi.461@s.kyushu-u.ac.jp
Daisuke Kyogoku
†The Museum of Nature and Human Activities, 6 Yayoigaoka, Sanda, Hyogo 669-1546, Japan
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Satoshi Kondo
‡Agriculture and Biotechnology Business Division, Toyota Motor Corporation, Miyoshi, Aichi 470-0201, Japan
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Atsushi J. Nagano
§Faculty of Agriculture, Ryukoku University, Otsu, Shiga 520-2194, Japan
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Kei Hirose
¶Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan and RIKEN Center for Advanced Intelligence Project, 1-4-1 Nihonbashi, Chuo-ku, Tokyo 103-0027, Japan
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Abstract

Motivation The least absolute shrinkage and selection operator (lasso) and principal component regression (PCR) are popular methods of estimating traits from high-dimensional omics data, such as transcriptomes. The prediction accuracy of these estimation methods is highly dependent on the covariance structure, which is characterized by gene regulation networks. However, the manner in which the structure of a gene regulation network together with the sample size affects prediction accuracy has not yet been sufficiently investigated. In this study, Monte Carlo simulations are conducted to investigate the prediction accuracy for several network structures under various sample sizes.

Results When the gene regulation network was random graph, the simulation indicated that models with high estimation accuracy could be achieved with small sample sizes. However, a real gene regulation network is likely to exhibit a scale-free structure. In such cases, the simulation indicated that a relatively large number of observations is required to accurately predict traits from a transcriptome.

Availability and implementation Source code at https://github.com/keihirose/simrnet

Contact hirose{at}imi.kyushu-u.ac.jp

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • https://github.com/keihirose/simrnet

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. All rights reserved. No reuse allowed without permission.
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Posted September 12, 2020.
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Effects of underlying gene-regulation network structure on prediction accuracy in high-dimensional regression
Yuichi Okinaga, Daisuke Kyogoku, Satoshi Kondo, Atsushi J. Nagano, Kei Hirose
bioRxiv 2020.09.11.293456; doi: https://doi.org/10.1101/2020.09.11.293456
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Effects of underlying gene-regulation network structure on prediction accuracy in high-dimensional regression
Yuichi Okinaga, Daisuke Kyogoku, Satoshi Kondo, Atsushi J. Nagano, Kei Hirose
bioRxiv 2020.09.11.293456; doi: https://doi.org/10.1101/2020.09.11.293456

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