205 citations · 822 across the 39 of their papers we have counts for
6 papers · 1 filter
Iterative Algorithm for Discrete Structure Recovery
Chao Gao, Anderson Y. Zhang
We propose a general modeling and algorithmic framework for discrete structure recovery that can be applied to a wide range of problems. Under this framework, we are able to study…
Testing Equivalence of Clustering
Chao Gao, Zongming Ma
In this paper, we test whether two datasets share a common clustering structure. As a leading example, we focus on comparing clustering structures in two independent random samples…
Minimax rates in sparse, high-dimensional changepoint detection
Haoyang Liu, Chao Gao, Richard J. Samworth
We study the detection of a sparse change in a high-dimensional mean vector as a minimax testing problem. Our first main contribution is to derive the exact minimax testing rate ac…
Generative Adversarial Nets for Robust Scatter Estimation: A Proper Scoring Rule Perspective
Chao Gao, Yuan Yao, Weizhi Zhu
Robust scatter estimation is a fundamental task in statistics. The recent discovery on the connection between robust estimation and generative adversarial nets (GANs) by Gao et al.…
Optimal estimation of variance in nonparametric regression with random design
Yandi Shen, Chao Gao, Daniela Witten +1
Consider the heteroscedastic nonparametric regression model with random design \begin{align*} Y_i = f(X_i) + V^{1/2}(X_i)\varepsilon_i, \quad i=1,2,\ldots,n, \end{align*} with $f(\…
Bayesian Model Selection with Graph Structured Sparsity
Youngseok Kim, Chao Gao
We propose a general algorithmic framework for Bayesian model selection. A spike-and-slab Laplacian prior is introduced to model the underlying structural assumption. Using the not…