50 citations · 302 across the 44 of their papers we have counts for
7 papers · 1 filter
On Statistical Optimality of Variational Bayes
Debdeep Pati, Anirban Bhattacharya, Yun Yang
The article addresses a long-standing open problem on the justification of using variational Bayes methods for parameter estimation. We provide general conditions for obtaining opt…
-Variational Inference with Statistical Guarantees
Yun Yang, Debdeep Pati, Anirban Bhattacharya
We propose a family of variational approximations to Bayesian posterior distributions, called -VB, with provable statistical guarantees. The standard variational approximation i…
Frequentist coverage and sup-norm convergence rate in Gaussian process regression
Yun Yang, Anirban Bhattacharya, Debdeep Pati
Gaussian process (GP) regression is a powerful interpolation technique due to its flexibility in capturing non-linearity. In this paper, we provide a general framework for understa…
Bayesian Regression Tree Ensembles that Adapt to Smoothness and Sparsity
Antonio Ricardo Linero, Yun Yang
Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision tr…
Statistical inference for high dimensional regression via Constrained Lasso
Yun Yang
In this paper, we propose a new method for estimation and constructing confidence intervals for low-dimensional components in a high-dimensional model. The proposed estimator, call…
Non-asymptotic theory for nonparametric testing
Yun Yang, Zuofeng Shang, Guang Cheng
We consider nonparametric testing in a non-asymptotic framework. Our statistical guarantees are exact in the sense that Type I and II errors are controlled for any finite sample si…