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High dimensional time series datasets are becoming increasingly common in various fields such as economics, finance, meteorology, and neuroscience. Given this ubiquity of time series data, it is surprising that very few works on variable…

Methodology · Statistics 2018-04-17 Kashif Yousuf , Yang Feng

Datasets containing both categorical and continuous variables are frequently encountered in many areas, and with the rapid development of modern measurement technologies, the dimensions of these variables can be very high. Despite the…

Methodology · Statistics 2024-01-03 Binyan Jiang , Chenlei Leng , Cheng Wang , Zhongqing Yang , Xinyang Yu

Ultra-high dimensional longitudinal data are increasingly common and the analysis is challenging both theoretically and methodologically. We offer a new automatic procedure for finding a sparse semivarying coefficient model, which is widely…

Methodology · Statistics 2014-09-24 Ming-Yen Cheng , Toshio Honda , Jialiang Li , Heng Peng

Variable selection in ultrahigh-dimensional linear regression is challenging due to its high computational cost. Therefore, a screening step is usually conducted before variable selection to significantly reduce the dimension. Here we…

Methodology · Statistics 2025-04-29 Run Wang , An Nguyen , Somak Dutta , Vivekananda Roy

We in this paper propose a directional regression based approach for ultrahigh dimensional sufficient variable screening with censored responses. The new method is designed in a model-free manner and thus can be adapted to various complex…

Methodology · Statistics 2018-02-28 Menghao Xu , Zhou Yu , Jun Shao

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

Methodology · Statistics 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

In variable selection, most existing screening methods focus on marginal effects and ignore dependence between covariates. To improve the performance of selection, we incorporate pairwise effects in covariates for screening and…

Methodology · Statistics 2019-02-12 Siliang Gong , Kai Zhang , Yufeng Liu

Variable screening is a fast dimension reduction technique for assisting high dimensional feature selection. As a preselection method, it selects a moderate size subset of candidate variables for further refining via feature selection to…

Statistics Theory · Mathematics 2015-06-09 Xiangyu Wang , Chenlei Leng , David B. Dunson

Variable selection for optimal treatment regime in a clinical trial or an observational study is getting more attention. Most existing variable selection techniques focused on selecting variables that are important for prediction, therefore…

Methodology · Statistics 2014-05-22 Ailin Fan , Wenbin Lu , Rui Song

In large-scale biomedical research, it's common to gather ultra-high dimensional data that includes right-censored survival times. Feature screening has emerged as a crucial statistical technique for handling such data. In this paper, we…

Methodology · Statistics 2026-03-31 Shuya Chen , Heng Peng , Min Zhou

We propose an estimation method for the conditional mode when the conditioning variable is high-dimensional. In the proposed method, we first estimate the conditional density by solving quantile regressions multiple times. We then estimate…

Machine Learning · Statistics 2017-12-27 Hirofumi Ohta , Satoshi Hara

Analysis of high-dimensional data is currently a popular field of research, thanks to many applications e.g. in genetics (DNA data in genomewide association studies), spectrometry or web analysis. At the same time, the type of problems that…

Methodology · Statistics 2018-05-25 Jozef Jakubik

In this paper we propose a linear variable screening method for computer experiments when the number of input variables is larger than the number of runs. This method uses a linear model to model the nonlinear data, and screens the…

Methodology · Statistics 2020-06-16 Chunya Li , Daijun Chen , Shifeng Xiong

Variable selection, also known as feature selection in machine learning, plays an important role in modeling high dimensional data and is key to data-driven scientific discoveries. We consider here the problem of detecting influential…

Methodology · Statistics 2014-09-24 Bo Jiang , Jun S. Liu

Screening and surveillance are routinely used in medicine for early detection of disease and close monitoring of progression. Biomarkers are one of the primarily tools used for these tasks, but their successful translation to clinical…

Modern bio-technologies have produced a vast amount of high-throughput data with the number of predictors far greater than the sample size. In order to identify more novel biomarkers and understand biological mechanisms, it is vital to…

Machine Learning · Statistics 2018-05-18 Kevin He , Jian Kang , Hyokyoung Grace Hong , Ji Zhu , Yanming Li , Huazhen Lin , Han Xu , Yi Li

We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

Methodology · Statistics 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

Feature screening is useful and popular to detect informative predictors for ultrahigh-dimensional data before developing proceeding statistical analysis or constructing statistical models. While a large body of feature screening procedures…

Methodology · Statistics 2020-08-12 Li-Pang Chen

We study a marginal empirical likelihood approach in scenarios when the number of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the parameters of interest are systematically…

Statistics Theory · Mathematics 2013-11-07 Jinyuan Chang , Cheng Yong Tang , Yichao Wu

Independence screening methods such as the two sample $t$-test and the marginal correlation based ranking are among the most widely used techniques for variable selection in ultrahigh dimensional data sets. In this short note, simple…

Methodology · Statistics 2020-11-17 Run Wang , Somak Dutta , Vivekananda Roy