Xu Guo,Runze Li,Zhe Zhang et al.
Xu Guo et al.
This paper aims to develop an effective model-free inference procedure for high-dimensional data. We first reformulate the hypothesis testing problem via sufficient dimension reduction framework. With the aid of new reformulation, we propos...
Huiying Mao,Ryan Martin,Brian J Reich
Huiying Mao
Predicting the response at an unobserved location is a fundamental problem in spatial statistics. Given the difficulty in modeling spatial dependence, especially in non-stationary cases, model-based prediction intervals are at risk of missp...
Wenxuan Zhong,Yiwen Liu,Peng Zeng
Wenxuan Zhong
With rapid advances in information technology, massive datasets are collected in all fields of science, such as biology, chemistry, and social science. Useful or meaningful information is extracted from these data often through statistical ...
Tingyou Zhou,Liping Zhu,Chen Xu et al.
Tingyou Zhou et al.
Feature screening plays an important role in the analysis of ultrahigh dimensional data. Due to complicated model structure and high noise level, existing screening methods often suffer from model misspecification and the presence of outlie...
Hengjian Cui,Runze Li,Wei Zhong
Hengjian Cui
This work is concerned with marginal sure independence feature screening for ultra-high dimensional discriminant analysis. The response variable is categorical in discriminant analysis. This enables us to use conditional distribution functi...
Liping Zhu,Lexin Li,Runze Li et al.
Liping Zhu et al.
With the recent explosion of scientific data of unprecedented size and complexity, feature ranking and screening are playing an increasingly important role in many scientific studies. In this article, we propose a novel feature screening pr...
Yichao Wu,Hao Helen Zhang,Yufeng Liu
Yichao Wu
Classical statistical approaches for multiclass probability estimation are typically based on regression techniques such as multiple logistic regression, or density estimation approaches such as linear discriminant analysis (LDA) and quadra...