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Accelerating Bayesian inference of dependency between mixed-type biological traits.

Zhenyu Zhang1, Akihiko Nishimura2, Nídia S Trovão3

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We developed a faster computational method for analyzing biological trait evolution, improving upon existing techniques for large datasets. This advance enables deeper insights into complex evolutionary relationships and trait dependencies.

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Area of Science:

  • Evolutionary biology
  • Computational biology
  • Genomics

Background:

  • Inferring dependencies between biological traits considering evolutionary history is crucial but computationally challenging for large datasets.
  • Current phylogenetic multivariate probit models struggle with scalability and accurately characterizing conditional dependencies as specimen counts increase.
  • The state-of-the-art bouncy particle sampler (BPS) faces computational bottlenecks with high-dimensional latent variable integration.

Purpose of the Study:

  • To develop a novel, computationally efficient inference pipeline for phylogenetic probit models.
  • To overcome the limitations of existing methods in handling large numbers of specimens and complex trait dependencies.
  • To enable the analysis of larger and more complex biological datasets, including mixed-type traits and evolutionary relationships.

Main Methods:

  • Proposed a new inference pipeline combining Zigzag Hamiltonian Monte Carlo (Zigzag-HMC) with linear-time gradient evaluations.
  • Developed a joint sampling scheme for highly correlated latent variables and covariance matrix elements.
  • Extended the phylogenetic probit model to incorporate categorical traits for broader applicability.

Main Results:

  • Achieved a 5-fold speedup compared to the bouncy particle sampler (BPS) in analyzing HIV-1 evolution from 535 viruses.
  • Successfully inferred partial correlations between viral mutations and virulence, and studied influenza H1N1 glycosylation evolution in ~900 viruses.
  • Demonstrated the model's utility in studying Aquilegia flower and pollinator co-evolution with categorical traits.

Conclusions:

  • The novel inference pipeline significantly outperforms BPS, making large-scale phylogenetic trait dependency analysis feasible.
  • This computational advancement opens new avenues for studying complex evolutionary processes across various biological systems.
  • The extended model and efficient methods facilitate deeper understanding of trait evolution and co-evolutionary dynamics.