Bayesian variable selection in a Cox proportional hazards model with the "Sum of Single Effects" prior

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Main Authors: Yang, Yunqi, Tayeb, Karl, Carbonetto, Peter, Zhong, Xiaoyuan, Ober, Carole, Stephens, Matthew
Format: Preprint
Published: 2025
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author Yang, Yunqi
Tayeb, Karl
Carbonetto, Peter
Zhong, Xiaoyuan
Ober, Carole
Stephens, Matthew
author_facet Yang, Yunqi
Tayeb, Karl
Carbonetto, Peter
Zhong, Xiaoyuan
Ober, Carole
Stephens, Matthew
contents Motivated by genetic fine-mapping applications, we introduce a new approach to Bayesian variable selection regression (BVSR) for time-to-event (TTE) outcomes. This new approach is designed to deal with the specific challenges that arise in genetic fine-mapping, including: the presence of very strong correlations among the covariates, often exceeding 0.99; very large data sets containing potentially thousands of covariates and hundreds of thousands of samples. We accomplish this by extending the "Sum of Single Effects" (SuSiE) method to the Cox proportional hazards (CoxPH) model. We demonstrate the benefits of the new method, "CoxPH-SuSiE", over existing BVSR methods for TTE outcomes in simulated fine-mapping data sets. We also illustrate CoxPH-SuSiE on real data by fine-mapping asthma loci using data from UK Biobank. This fine-mapping identified 14 asthma risk SNPs in 8 asthma risk loci, among which 6 had strong evidence for being causal (posterior inclusion probability greater than 50%). Two of the 6 putatively causal variants are known to be pathogenic, and others lie within a genomic sequence that is known to regulate the expression of GATA3.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06233
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian variable selection in a Cox proportional hazards model with the "Sum of Single Effects" prior
Yang, Yunqi
Tayeb, Karl
Carbonetto, Peter
Zhong, Xiaoyuan
Ober, Carole
Stephens, Matthew
Methodology
Quantitative Methods
Applications
Motivated by genetic fine-mapping applications, we introduce a new approach to Bayesian variable selection regression (BVSR) for time-to-event (TTE) outcomes. This new approach is designed to deal with the specific challenges that arise in genetic fine-mapping, including: the presence of very strong correlations among the covariates, often exceeding 0.99; very large data sets containing potentially thousands of covariates and hundreds of thousands of samples. We accomplish this by extending the "Sum of Single Effects" (SuSiE) method to the Cox proportional hazards (CoxPH) model. We demonstrate the benefits of the new method, "CoxPH-SuSiE", over existing BVSR methods for TTE outcomes in simulated fine-mapping data sets. We also illustrate CoxPH-SuSiE on real data by fine-mapping asthma loci using data from UK Biobank. This fine-mapping identified 14 asthma risk SNPs in 8 asthma risk loci, among which 6 had strong evidence for being causal (posterior inclusion probability greater than 50%). Two of the 6 putatively causal variants are known to be pathogenic, and others lie within a genomic sequence that is known to regulate the expression of GATA3.
title Bayesian variable selection in a Cox proportional hazards model with the "Sum of Single Effects" prior
topic Methodology
Quantitative Methods
Applications
url https://arxiv.org/abs/2506.06233