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math.ST2023★ 1 cited
Memory Efficient And Minimax Distribution Estimation Under Wasserstein Distance Using Bayesian Histograms
Peter Matthew Jacobs, Lekha Patel, Anirban Bhattacharya +1
We study Bayesian histograms for distribution estimation on under the Wasserstein distance in the i.i.d sampling regime. We newly show that when…
math.ST2016★ 8 cited
Bayesian fractional posteriors
Anirban Bhattacharya, Debdeep Pati, Yun Yang
We consider the fractional posterior distribution that is obtained by updating a prior distribution via Bayes theorem with a fractional likelihood function, a usual likelihood func…
math.ST2014★ 10 cited
Optimal Bayesian estimation in random covariate design with a rescaled Gaussian process prior
Debdeep Pati, Anirban Bhattacharya, Guang Cheng
In Bayesian nonparametric models, Gaussian processes provide a popular prior choice for regression function estimation. Existing literature on the theoretical investigation of the…