#37 · ML / AI methods
Explicit probabilistic models drive genomic and biological inference tasks
The dominant thread is explicit probabilistic specification, through a likelihood, prior, or joint density, carrying inference over genetic and biological data. An approximate-copula family with explicit moments and a likelihood score is applied to longitudinal modeling and tri-variate GWAS in UK Biobank, extending dependence modeling beyond marginal structure. baycn applies approximate Bayesian inference with flexible edge-state priors to infer DAG edge directions in biological networks, including genomic target-gene data. An empirical Bayes f-modeling EM algorithm with causally structured score matching targets linear causal representations across domains. Prediction-powered inference contributes closed-form power formulas for ML-based predictions, validated by simulation. The newer elements are copula-based correlation structure, cross-domain causal representation, and directed network topology. Two of the four records are published articles and two are preprints.
Published papers
An approximate-copula distribution for statistical modeling.
Derives a new approximate-copula density family with explicit moments and likelihood score, applied to longitudinal modeling and tri-variate GWAS on UK Biobank…
Approximate Bayesian inference of directed acyclic graphs in biology with flexible priors on edge states.
baycn: approximate Bayesian method with flexible edge-state priors infers DAG edge directions in biological networks; applied to genomic target-gene and…
Preprints
Power Analysis for Prediction-Powered Inference
Closed-form power formulas for prediction-powered inference using ML predictions, validated by simulation, with an R package.
Multi-Domain Empirical Bayes for Linearly-Mixed Causal Representations
Proposes an empirical Bayes f-modeling EM algorithm with causally structured score matching to estimate linear causal representations across domains; tested on…
Topic history
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