4 papers
Robust Tensor Regression with Nonconvexity: Algorithmic and Statistical Theory
Zihao Song, Jicai Liu, Heng Lian +1
Tensor regression is an important tool for tensor data analysis, but existing works have not considered the impact of outliers, making them potentially sensitive to such data point…
Sufficient Dimension Reduction via Inverse Conditional Mean or Variance Independence
Jicai Liu, Yu Zhang, Jinhong Li
This paper presents a unified framework for sufficient dimension reduction (SDR) that generalizes several existing SDR techniques and offers new insights into the connection betwee…
SID: A Novel Class of Nonparametric Tests of Independence for Censored Outcomes
Jinhong Li, Jicai Liu, Jinhong You +1
We propose a new class of metrics, called the survival independence divergence (SID), to test dependence between a right-censored outcome and covariates. A key technique for derivi…
Two Sample Testing for High-dimensional Functional Data: A Multi-resolution Projection Method
Shouxia Wang, Jiguo Cao, Hua Liu +2
It is of great interest to test the equality of the means in two samples of functional data. Past research has predominantly concentrated on low-dimensional functional data, a focu…