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Global-Local Shrinkage Prior

Definition
AI-generated

A global-local shrinkage prior is a hierarchical Bayesian prior in which a global scale parameter pulls many coefficients strongly toward zero while local scale parameters let individual coefficients escape shrinkage when the data demand it.

Why it matters in GWAS

Sparse genetic architectures at a locus—few large effects among many correlated SNPs—motivate priors that shrink most SNP effects heavily but allow outliers; global-local structure is a standard way to express that in Bayesian regression and variant prioritization.

Example usage

"The hierarchical model used a global-local shrinkage prior on SNP effects within the 500 kb fine-mapping window."

References

  • Carvalho CM, Polson NG, Scott JG. (2010). The horseshoe estimator for sparse signals. Biometrika.
  • Li Z, Zhou X. (2025). Towards improved fine-mapping of candidate causal variants. Nat Rev Genet. https://doi.org/10.1038/s41576-025-00869-4

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