3 papers
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…
math.GM2025
Bayes Meets Riemann Again: Large Prime Discovery and Re-emergence of the Bone of Contention
Durba Bhattacharya, Sucharita Roy, Sourabh Bhattacharya
Prime numbers have fascinated mathematicians since antiquity, with ongoing efforts to uncover both their properties and ever-larger examples. While giant primes rarely aid cryptogr…