16 citations · 25 across the 6 of their papers we have counts for
6 papers
Guaranteed Functional Tensor Singular Value Decomposition
Rungang Han, Pixu Shi, Anru R. Zhang
This paper introduces the functional tensor singular value decomposition (FTSVD), a novel dimension reduction framework for tensors with one functional mode and several tabular mod…
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…
Generalized Linear Models with Linear Constraints for Microbiome Compositional Data
Jiarui Lu, Pixu Shi, Hongzhe Li
Motivated by regression analysis for microbiome compositional data, this paper considers generalized linear regression analysis with compositional covariates, where a group of line…
A Model for Paired-Multinomial Data and Its Application to Analysis of Data on a Taxonomic Tree
Pixu Shi, Hongzhe Li
In human microbiome studies, sequencing reads data are often summarized as counts of bacterial taxa at various taxonomic levels specified by a taxonomic tree. This paper considers…
Regression Analysis for Microbiome Compositional Data
Pixu Shi, Anru Zhang, Hongzhe Li
One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as the composition of t…
Methods to Calculate the Upper Bound of Gini Coefficient Based on Grouped Data and the Result for China
Pixu Shi, Anru R. Zhang
Determining an upper bound, particularly the optimal upper bound of the Gini coefficient when dealing with grouped data without specified income brackets, remains an important and…