173 citations · 700 across the 31 of their papers we have counts for
32 papers
Variance Reduced Median-of-Means Estimator for Byzantine-Robust Distributed Inference
Jiyuan Tu, Weidong Liu, Xiaojun Mao +1
This paper develops an efficient distributed inference algorithm, which is robust against a moderate fraction of Byzantine nodes, namely arbitrary and possibly adversarial machines…
Online Statistical Inference for Stochastic Optimization via Kiefer-Wolfowitz Methods
Xi Chen, Zehua Lai, He Li +1
This paper investigates the problem of online statistical inference of model parameters in stochastic optimization problems via the Kiefer-Wolfowitz algorithm with random search di…
Distributed Estimation for Principal Component Analysis: an Enlarged Eigenspace Analysis
Xi Chen, Jason D. Lee, He Li +1
The growing size of modern data sets brings many challenges to the existing statistical estimation approaches, which calls for new distributed methodologies. This paper studies dis…
Dimension Independent Generalization Error by Stochastic Gradient Descent
Xi Chen, Qiang Liu, Xin T. Tong
One classical canon of statistics is that large models are prone to overfitting, and model selection procedures are necessary for high dimensional data. However, many overparameter…
Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm
Tianyi Lin, Nhat Ho, Xi Chen +2
We study the fixed-support Wasserstein barycenter problem (FS-WBP), which consists in computing the Wasserstein barycenter of discrete probability measures supported on a finit…
Online Covariance Matrix Estimation in Stochastic Gradient Descent
Wanrong Zhu, Xi Chen, Wei Biao Wu
The stochastic gradient descent (SGD) algorithm is widely used for parameter estimation, especially for huge data sets and online learning. While this recursive algorithm is popula…