APPLYING HYPERGRAPHS TO STUDIES IN QUANTITATIVE BIOLOGY

Received: 05th June 2024 Revised: 10th June 2024, 11th June 2024 Accepted: 10th June 2024

Authors

  • Samuel Barton ARC Centre of Excellence, Plant Success in Nature and Agriculture, School of Mathematics and Physics, University of Queensland, Brisbane, 4072, Australia
  • Adelle Coster School of Mathematics & Statistics, The University of New South Wales, NSW 2052, Australia,
  • Diane Donovan ARC Centre of Excellence, Plant Success in Nature and Agriculture, School of Mathematics and Physics, University of Queensland, Brisbane, 4072, Australia
  • James Lefevre ARC Centre of Excellence, Plant Success in Nature and Agriculture, School of Mathematics and Physics, University of Queensland, Brisbane, 4072, Australia

DOI:

https://doi.org/10.20319/lijhls.2024.9.2133

Keywords:

Hypergraph, Hypergraph Model, Hypergraph Classifier, Graph

Abstract

The objective of this research is to demonstrate hypergraph versatility and applicability for modeling diverse biological systems. The inherent structure of hypergraphs allows for encoding of higher-order feature interactions, providing a flexible framework for efficient models that can enhance our understanding of physical phenomena and one that can be generalized across various datasets. By adopting innovative methods including centrality measure and populations of models rather than singular instances, biases and overfitting tendencies are mitigated, again presenting promise for application across a broad spectrum of biological systems. Furthermore, emphasis is placed on the significance of probabilistic distribution analysis in elucidating threshold selection and feature relevance while maintaining high levels of accuracy. Our results demonstrate the advantages of hypergraph models on two different datasets; with the first on gene expression and the identification of outlier genes and the second on classifying starch grains. There is significant scope in the application of the hypergraph to a wider class of biological systems, with the potential to improve understanding of the biological processes.

References

Barton, S., Coster, A., Donovan, D. and Lefevre, J. (2024). A classification model based on a population of hypergraphs. arXiv, 2405.15063. URL https://arxiv.org/abs/2405.15063

Barton, S., Broad, Z., Ortiz-Barrientos, D., Donovan, D. and Lefevre, J.(2023). Hypergraphs and centrality measures identifying key features in gene expression data. Mathematical Biosciences, 366, 109089. DOI https://doi.org/10.1016/j.mbs.2023.109089

Breiman, L. (2001) Random forests. Machine Learning, 45, 5-32. DOI https://doi.org/10.1023/A:1010933404324

Berge, C. (1984) Hypergraphs: combinatorics of finite sets. Elsevier 45. URL https://books.google.com.au/books/about/Hypergraphs.html?id=jEyfse-EKf8C&redir_esc=y

Broad, Z., Lefevre, J., Wilkinson, M., Barton, S., Barbier, F., Jung, H., Donovan, D. and Ortiz-Barrientos, D. (2023). Gene expression divergence during adaptation to contrasting environments. arXiv. DOI 10.22541/au.169823548.87378722/v1

Coster, A.C.F. and Field, J.H. (2015) What starch grain is that? A geometric morphometric approach to determining plant species origin. Journal of Archaeological Science, 58, 9-25. DOI https://doi.org/10.1016/j.jas.2015.03.014

Dash, M. and Liu, H. (1997) Feature selection for classification. Intelligent data analysis, 1(1-4), 131-156. DOI https://doi.org/10.1016/S1088-467X(97)00008-5

Díaz-Uriarte, R. and Alvarez de Andrés, S. (2006) Gene selection and classification of microarray data using random forest. BMC Bioinformatics, 7, 1-13. DOI https://doi.org/10.1186/1471-2105-7-3

Di D., Shi F., Yan F., Xia L., Mo Z., Ding Z., Shan F., Song B., Li S., Wei Y., Shao Y., Han M., Gao Y., Sui H., Gao Y. and Shen D. (2021). Hypergraph learning for identification of COVID-19 with CT imaging, Medical Image Analysis, 68, 101910. DOI 10.1016/j.media.2020.101910

Li, D., Xu, Z., Li, S. and Sun, X. (2013). Link prediction in social networks based on hypergraph. Proceedings of the 22nd international conference on world wide web, 41-42. URL https://api.semanticscholar.org/CorpusID:15302229

Zhou, D., Huang, J. and Schölkopf, B. (2006) Learning with hypergraphs: Clustering, classification, and embedding. Advances in neural information processing systems, 19. URL https://proceedings.neurips.cc/paper_files/paper/2006/file/dff8e9c2ac33381546d96deea9922999-Paper.pdf

Downloads

Published

2024-06-18

How to Cite

Samuel Barton, Adelle Coster, Diane Donovan, & James Lefevre. (2024). APPLYING HYPERGRAPHS TO STUDIES IN QUANTITATIVE BIOLOGY: Received: 05th June 2024 Revised: 10th June 2024, 11th June 2024 Accepted: 10th June 2024. LIFE: International Journal of Health and Life-Sciences, 9, 21–33. https://doi.org/10.20319/lijhls.2024.9.2133

Issue

Section

Articles