2 papers
stat.ME2018
High-dimensional Log-Error-in-Variable Regression with Applications to Microbial Compositional Data Analysis
Pixu Shi, Yuchen Zhou, Anru R. Zhang
In microbiome and genomic studies, the regression of compositional data has been a crucial tool for identifying microbial taxa or genes that are associated with clinical phenotypes…
math.PR2018
On the Non-asymptotic and Sharp Lower Tail Bounds of Random Variables
Anru R. Zhang, Yuchen Zhou
The non-asymptotic tail bounds of random variables play crucial roles in probability, statistics, and machine learning. Despite much success in developing upper bounds on tail prob…