1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
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…
Function Optimization with Posterior Gaussian Derivative Process
Sucharita Roy, Sourabh Bhattacharya
We propose a Bayesian optimization algorithm for differentiable functions with available first and second partial derivatives. The objective function is modeled as a Gaussian proce…
Bayesian Appraisal of Random Series Convergence with Application to Climate Change
Sucharita Roy, Sourabh Bhattacharya
Roy and Bhattacharya (2020) provided Bayesian characterization of infinite series, and their most important application, namely, to the Dirichlet series characterizing the (in)famo…
Bayesian Characterizations of Properties of Stochastic Processes with Applications
Sucharita Roy, Sourabh Bhattacharya
In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between g…
Bayes meet Riemann- Bayesian Characterization of Infinite Series with Application to Riemann Hypothesis
Sucharita Roy, Sourabh Bhattacharya
In the classical literature on infinite series there are various tests to determine if a given infinite series converges, diverges, or oscillates. But unfortunately, for very many…