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stat.ME2026
Bayesian Nonparametric Factor Analysis via Marginalized Dirichlet Process Column Clustering with Spike-and-Slab Sparsity
Durba Bhattacharya, Sourabh Bhattacharya
We propose a Bayesian nonparametric factor model that infers the number of factors, induces row-wise sparsity, and merges redundant dictionary elements via exact clustering. A Diri…
stat.ME2026
The Bayesian Reflex: Online Learning as the Autonomic Nervous System of Modern and Future AI
Durba Bhattacharya, Sucharita Roy, Sourabh Bhattacharya
This chapter introduces the Bayesian reflex -- an analogy with the autonomic nervous system -- as a unifying framework for online learning in AI. Bayesian online algorithms automat…
stat.ME2026
Bayesian Nonparametrics for Gene-Gene and Gene-Environment Interactions in Case-Control Studies: A Synthesis and Extension
Durba Bhattacharya, Sourabh Bhattacharya
Gene-gene and gene-environment interactions are widely believed to play significant roles in explaining the variability of complex traits. While substantial research exists in this…