4 papers · 1 filter
Adaptive Resolution for Finite-Rank Gaussian Processes
Jaehoan Kim, Anirban Bhattacharya, Debdeep Pati
Finite-rank approximations are widely used to scale Gaussian process (GP) regression, but their posterior behavior can differ from that of the corresponding parent GP prior. We stu…
Frequentist Regret Analysis of Gaussian Process Thompson Sampling via Fractional Posteriors
Somjit Roy, Prateek Jaiswal, Anirban Bhattacharya +2
We study Gaussian Process Thompson Sampling (GP-TS) for sequential decision-making over compact, continuous action spaces and provide a frequentist regret analysis based on fractio…
Consistent DAG selection for Bayesian causal discovery under general error distributions
Anamitra Chaudhuri, Anirban Bhattacharya, Yang Ni
We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursi…
Robust Estimation in metric spaces: Achieving Exponential Concentration with a Fréchet Median
Jakwang Kim, Jiyoung Park, Anirban Bhattacharya
There is growing interest in developing statistical estimators that achieve exponential concentration around a population target even when the data distribution has heavier than ex…