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Feature screening is an important tool in analyzing ultrahigh-dimensional data, particularly in the field of Omics and oncology studies. However, most attention has been focused on identifying features that have a linear or monotonic impact…

Methodology · Statistics 2023-05-10 Yaxian Chen , KF Lam , Zhonghua Liu

Identifying important biomarkers that are predictive for cancer patients' prognosis is key in gaining better insights into the biological influences on the disease and has become a critical component of precision medicine. The emergence of…

Methodology · Statistics 2016-03-22 Hyokyoung Grace Hong , Jian Kang , Yi Li

In practical applications, one often does not know the "true" structure of the underlying conditional quantile function, especially in the ultra-high dimensional setting. To deal with ultra-high dimensionality, quantile-adaptive marginal…

Methodology · Statistics 2024-04-26 Daoji Li , Yinfei Kong , Dawit Zerom

Intelligent test requires efficient and effective analysis of high-dimensional data in a large scale. Traditionally, the analysis is often conducted by human experts, but it is not scalable in the era of big data. To tackle this challenge,…

Machine Learning · Computer Science 2022-07-04 Yiwen Liao , Tianjie Ge , Raphaël Latty , Bin Yang

This paper proposes a new feature screening method for the multi-response ultrahigh dimensional linear model by empirical likelihood. Through a multivariate moment condition, the empirical likelihood induced ranking statistics can exploit…

Methodology · Statistics 2022-06-07 Jun Lu , Qinqin Hu , Lu Lin

In high dimensional analysis, effects of explanatory variables on responses sometimes rely on certain exposure variables, such as time or environmental factors. In this paper, to characterize the importance of each predictor, we utilize its…

Methodology · Statistics 2018-04-11 Yeqing Zhou , Jingyuan Liu , Zhihui Hao , Liping Zhu

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Statistical inference can be computationally prohibitive in ultrahigh-dimensional linear models. Correlation-based variable screening, in which one leverages marginal correlations for removal of irrelevant variables from the model prior to…

Statistics Theory · Mathematics 2020-07-07 Talal Ahmed , Waheed U. Bajwa

Variable screening has been a useful research area that deals with ultrahigh-dimensional data. When there exist both marginally and jointly dependent predictors to the response, existing methods such as conditional screening or iterative…

Methodology · Statistics 2023-07-10 Lei Fang , Qingcong Yuan , Xiangrong Yin , Chenglong Ye

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

Econometrics · Economics 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

This paper treats the problem of screening for variables with high correlations in high dimensional data in which there can be many fewer samples than variables. We focus on threshold-based correlation screening methods for three related…

Machine Learning · Statistics 2015-03-18 Alfred O. Hero , Bala Rajaratnam

This paper advances a variable screening approach to enhance conditional quantile forecasts using high-dimensional predictors. We have refined and augmented the quantile partial correlation (QPC)-based variable screening proposed by Ma et…

Econometrics · Economics 2024-10-22 Hongqi Chen , Ji Hyung Lee

Gini distance correlation (GDC) was recently proposed to measure the dependence between a categorical variable, Y, and a numerical random vector, X. It mutually characterizes independence between X and Y. In this article, we utilize the GDC…

Methodology · Statistics 2023-04-19 Yongli Sang , Xin Dang

In big data analysis, a simple task such as linear regression can become very challenging as the variable dimension $p$ grows. As a result, variable screening is inevitable in many scientific studies. In recent years, randomized algorithms…

Methodology · Statistics 2019-02-13 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Yun Huang

Ultrahigh dimensional data sets are becoming increasingly prevalent in areas such as bioinformatics, medical imaging, and social network analysis. Sure independent screening of such data is commonly used to analyze such data. Nevertheless,…

Methodology · Statistics 2020-10-15 Randall Reese , Xiaotian Dai , Guifang Fu

Density ratio estimation in high dimensions can be reframed as integrating a certain quantity, the time score, over probability paths which interpolate between the two densities. In practice, the time score has to be estimated based on…

Machine Learning · Computer Science 2025-06-13 Hanlin Yu , Arto Klami , Aapo Hyvärinen , Anna Korba , Omar Chehab

Herein, we propose a Spearman rank correlation based screening procedure for ultrahigh-dimensional data with censored response case. The proposed method is model-free without specifying any regression forms of predictors or response…

Methodology · Statistics 2022-11-28 Hongni Wang , Jingxin Yan , Xiaodong Yan

Variable selection is of increasing importance to address the difficulties of high dimensionality in many scientific areas. In this paper, we demonstrate a property for distance covariance, which is incorporated in a novel feature screening…

Methodology · Statistics 2014-09-03 Jing Kong , Sijian Wang , Grace Wahba

Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlations or variations of it. In many…

Statistics Theory · Mathematics 2012-11-02 Emre Barut , Jianqing Fan , Anneleen Verhasselt

We propose an iterative variable selection scheme for high-dimensional data with binary outcomes. The scheme adopts a structured screen-and-select framework and uses non-local prior-based Bayesian model selection within the same. The…

Methodology · Statistics 2022-11-08 Nilotpal Sanyal
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