research
∙
09/18/2023
Pivotal Estimation of Linear Discriminant Analysis in High Dimensions
We consider the linear discriminant analysis problem in the high-dimensi...
share
research
∙
12/02/2022
Covariance Estimators for the ROOT-SGD Algorithm in Online Learning
Online learning naturally arises in many statistical and machine learnin...
research
∙
08/09/2022
Adaptive Resources Allocation CUSUM for Binomial Count Data Monitoring with Application to COVID-19 Hotspot Detection
In this paper, we present an efficient statistical method (denoted as "A...
research
∙
08/09/2022
Adaptive Partially-Observed Sequential Change Detection and Isolation
High-dimensional data has become popular due to the easy accessibility o...
research
∙
07/04/2022
Cost-Efficient Fixed-Width Confidence Intervals for the Difference of Two Bernoulli Proportions
We study properties of confidence intervals (CIs) for the difference of ...
research
∙
05/20/2022
Hot-spots Detection in Count Data by Poisson Assisted Smooth Sparse Tensor Decomposition
Count data occur widely in many bio-surveillance and healthcare applicat...
research
∙
04/29/2022
The Directional Bias Helps Stochastic Gradient Descent to Generalize in Kernel Regression Models
We study the Stochastic Gradient Descent (SGD) algorithm in nonparametri...
research
∙
04/29/2022
Implicit Regularization Properties of Variance Reduced Stochastic Mirror Descent
In machine learning and statistical data analysis, we often run into obj...
research
∙
04/10/2022
Private Sequential Hypothesis Testing for Statisticians: Privacy, Error Rates, and Sample Size
The sequential hypothesis testing problem is a class of statistical anal...
research
∙
01/13/2022
Active Learning-Based Multistage Sequential Decision-Making Model with Application on Common Bile Duct Stone Evaluation
Multistage sequential decision-making scenarios are commonly seen in the...
research
∙
03/18/2021
Identification of Underlying Dynamic System from Noisy Data with Splines
In this paper, we propose a two-stage method called Spline Assisted Part...
research
∙
03/12/2021
Asymptotic Theory of ℓ_1-Regularized PDE Identification from a Single Noisy Trajectory
We prove the support recovery for a general class of linear and nonlinea...
research
∙
09/24/2020
Bandit Change-Point Detection for Real-Time Monitoring High-Dimensional Data Under Sampling Control
In many real-world problems of real-time monitoring high-dimensional str...
research
∙
09/23/2020
An elementary approach for minimax estimation of Bernoulli proportion in the restricted parameter space
We present an elementary mathematical method to find the minimax estimat...
research
∙
04/23/2020
Rapid Detection of Hot-spots via Tensor Decomposition with applications to Crime Rate Data
We propose an efficient statistical method (denoted as SSR-Tensor) to ro...
research
∙
01/31/2020
Rapid Detection of Hot-spot by Tensor Decomposition with Application to Weekly Gonorrhea Data
In many bio-surveillance and healthcare applications, data sources are m...
research
∙
06/05/2019
Robustness and Tractability for Non-convex M-estimators
We investigate two important properties of M-estimator, namely, robustne...
research
∙
06/05/2019
Robust real-time monitoring of high-dimensional data streams
Robust real-time monitoring of high-dimensional data streams has many im...
research
∙
04/20/2019
High Dimensional Process Monitoring Using Robust Sparse Probabilistic Principal Component Analysis
High dimensional data has introduced challenges that are difficult to ad...
research
∙
08/29/2018
Differentially Private Change-Point Detection
The change-point detection problem seeks to identify distributional chan...
research
∙
11/18/2017
Optimal Stopping for Interval Estimation in Bernoulli Trials
We propose an optimal sequential methodology for obtaining confidence in...
research
∙
04/30/2017