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We propose a novel methodology for feature screening in clustering massive datasets, in which both the number of features and the number of observations can potentially be very large. Taking advantage of a fusion penalization based convex…

Methodology · Statistics 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

Feature screening is an important method to reduce the dimension and capture informative variables in ultrahigh-dimensional data analysis. Many methods have been developed for feature screening. These methods, however, are challenged by…

Methodology · Statistics 2019-01-08 Li-Pang Chen

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

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

The applications of traditional statistical feature selection methods to high-dimension, low sample-size data often struggle and encounter challenging problems, such as overfitting, curse of dimensionality, computational infeasibility, and…

Machine Learning · Statistics 2023-12-19 Kexuan Li , Fangfang Wang , Lingli Yang , Ruiqi Liu

In modern scientific research, massive datasets with huge numbers of observations are frequently encountered. To facilitate the computational process, a divide-and-conquer scheme is often used for the analysis of big data. In such a…

Machine Learning · Statistics 2015-05-06 Chen Xu , Yongquan Zhang , Runze Li

Fitting statistical models is computationally challenging when the sample size or the dimension of the dataset is huge. An attractive approach for down-scaling the problem size is to first partition the dataset into subsets and then fit…

Methodology · Statistics 2016-02-15 Xiangyu Wang , David Dunson , Chenlei Leng

Distributed and federated learning are important tools for high-dimensional classification of large datasets. To reduce computational costs and overcome the curse of dimensionality, feature screening plays a pivotal role in eliminating…

Machine Learning · Statistics 2025-06-03 Qi Qin , Erbo Li , Xingxiang Li , Yifan Sun , Wu Wang , Chen Xu

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

Many applications benefit from theory relevant to the identification of variables having large correlations or partial correlations in high dimension. Recently there has been progress in the ultra-high dimensional setting when the sample…

Statistics Theory · Mathematics 2022-08-25 Yun Wei , Bala Rajaratnam , Alfred O. Hero

Forward regression is a crucial methodology for automatically identifying important predictors from a large pool of potential covariates. In contexts with moderate predictor correlation, forward selection techniques can achieve screening…

Methodology · Statistics 2024-08-23 Xuejun Jiang , Yue Ma , Haofeng Wang

Distributed optimization has been widely used as one of the most efficient approaches for model training with massive samples. However, large-scale learning problems with both massive samples and high-dimensional features widely exist in…

Machine Learning · Computer Science 2022-04-26 Runxue Bao , Xidong Wu , Wenhan Xian , Heng Huang

Motivated by the need for computationally tractable spatial methods in neuroimaging studies, we develop a distributed and integrated framework for estimation and inference of Gaussian process model parameters with ultra-high-dimensional…

Methodology · Statistics 2024-02-09 Emily C. Hector , Brian J. Reich , Ani Eloyan

This paper proposes a novel model-free screening procedure for ultrahigh dimensional data analysis. By utilizing slicing technique which has been successfully ap- plied to continuous variables, we construct a new index called the fused…

Methodology · Statistics 2016-12-28 Yan Xiao-Dong , Xie Jin-Han , Ding Xian-Wen , Wang Zhi-Qiang , Tang Nian-Sheng

Recent advancements in video semantic segmentation have made substantial progress by exploiting temporal correlations. Nevertheless, persistent challenges, including redundant computation and the reliability of the feature propagation…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Yaoyan Zheng , Hongyu Yang , Di Huang

This paper addresses the problem of distributed coding of images whose correlation is driven by the motion of objects or positioning of the vision sensors. It concentrates on the problem where images are encoded with compressed linear…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Vijayaraghavan Thirumalai , Pascal Frossard

This paper presents a unified framework for supervised learning and inference procedures using the divide-and-conquer approach for high-dimensional correlated outcomes. We propose a general class of estimators that can be implemented in a…

Statistics Theory · Mathematics 2020-09-22 Emily C. Hector , Peter X. -K. Song

We propose a distributed method for simultaneous inference for datasets with sample size much larger than the number of covariates, i.e., N >> p, in the generalized linear models framework. When such datasets are too big to be analyzed…

Methodology · Statistics 2020-07-23 Lu Tang , Ling Zhou , Peter X. -K. Song

Differential co-expression analysis has been widely applied by scientists in understanding the biological mechanisms of diseases. However, the unknown differential patterns are often complicated; thus, models based on simplified parametric…

Methodology · Statistics 2022-01-13 Tianxi Li , Xiwei Tang , Ajay Chatrath

Principal Component Analysis (PCA) is a fundamental data preprocessing tool in the world of machine learning. While PCA is often thought of as a dimensionality reduction method, the purpose of PCA is actually two-fold: dimension reduction…

Machine Learning · Computer Science 2023-01-25 Arpita Gang , Waheed U. Bajwa
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