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This paper investigates the effectiveness of using the Random Projection Ensemble (RPE) approach in Quadratic Discriminant Analysis (QDA) for ultrahigh-dimensional classification problems. Classical methods such as Linear Discriminant…

统计方法学 · 统计学 2025-07-10 Annesha Deb , Minerva Mukhopadhyay , Subhajit Dutta

High-dimensional data are commonly seen in modern statistical applications, variable selection methods play indispensable roles in identifying the critical features for scientific discoveries. Traditional best subset selection methods are…

统计方法学 · 统计学 2022-12-29 Tianzhou Ma , Hongjie Ke , Zhao Ren

Disease-gene association through Genome-wide association study (GWAS) is an arduous task for researchers. Investigating single nucleotide polymorphisms (SNPs) that correlate with specific diseases needs statistical analysis of associations.…

定量方法 · 定量生物学 2020-12-21 Sezin Kircali Ata , Min Wu , Yuan Fang , Le Ou-Yang , Chee Keong Kwoh , Xiao-Li Li

For high-dimensional linear regression models, we review and compare several estimators of variances $\tau^2$ and $\sigma^2$ of the random slopes and errors, respectively. These variances relate directly to ridge regression penalty…

统计计算 · 统计学 2019-02-08 Jurre R. Veerman , Gwenael G. R. Leday , Mark A. van de Wiel

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

统计方法学 · 统计学 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

Kendall's tau and conditional Kendall's tau matrices are multivariate (conditional) dependence measures between the components of a random vector. For large dimensions, available estimators are computationally expensive and can be improved…

统计理论 · 数学 2024-12-30 Rutger van der Spek , Alexis Derumigny

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

统计方法学 · 统计学 2026-05-04 Peiliang Bai

Incomplete covariate vectors are known to be problematic for estimation and inferences on model parameters, but their impact on prediction performance is less understood. We develop an imputation-free method that builds on a random…

统计方法学 · 统计学 2024-05-31 Matthew J. Heiner , Garritt L. Page , Fernando Andrés Quintana

Deep learning methods are state-of-the-art for spectral image (SI) computational tasks. However, these methods are constrained in their performance since available datasets are limited due to the highly expensive and long acquisition time.…

计算机视觉与模式识别 · 计算机科学 2023-05-02 Emmanuel Martinez , Roman Jacome , Alejandra Hernandez-Rojas , Henry Arguello

Motivated by dynamic biologic network analysis, we propose a covariate-dependent Gaussian graphical model (cdexGGM) for capturing network structure that varies with covariates through a novel parameterization. Utilizing a likelihood…

统计方法学 · 统计学 2025-02-26 Jiacheng Wang , Xin Gao

Intra prediction is an essential component in the image coding. This paper gives an intra prediction framework completely based on neural network modes (NM). Each NM can be regarded as a regression from the neighboring reference blocks to…

图像与视频处理 · 电气工程与系统科学 2021-08-06 Heming Sun , Lu Yu , Jiro Katto

Matrix-covariate is now frequently encountered in many biomedical researches. It is common to fit conventional statistical models by vectorizing matrix-covariate. This strategy, however, results in a large number of parameters, while the…

应用统计 · 统计学 2016-07-12 Hung Hung , Zhi-Yu Jou

Linear discriminant analysis (LDA) is a typical method for classification problems with large dimensions and small samples. There are various types of LDA methods that are based on the different types of estimators for the covariance…

统计方法学 · 统计学 2023-03-07 Jaehoan Kim , Hoyoung Park , Junyong Park

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…

统计方法学 · 统计学 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Identifying statistical dependence between the features and the label is a fundamental problem in supervised learning. This paper presents a framework for estimating dependence between numerical features and a categorical label using…

机器学习 · 计算机科学 2021-10-01 Silu Zhang , Xin Dang , Dao Nguyen , Dawn Wilkins , Yixin Chen

Evaluating blocked randomized experiments from a potential outcomes perspective has two primary branches of work. The first focuses on larger blocks, with multiple treatment and control units in each block. The second focuses on matched…

统计方法学 · 统计学 2024-05-31 Nicole E. Pashley , Luke W. Miratrix

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…

统计方法学 · 统计学 2018-04-17 Kashif Yousuf , Yang Feng

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

机器学习 · 统计学 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

In recent years we have been able to gather large amounts of genomic data at a fast rate, creating situations where the number of variables greatly exceeds the number of observations. In these situations, most models that can handle a…

统计方法学 · 统计学 2025-02-07 Andrea Bratsberg , Abhik Ghosh , Magne Thoresen

Multidimensional genetic programming represents candidate solutions as sets of programs, and thereby provides an interesting framework for exploiting building block identification. Towards this goal, we investigate the use of machine…

神经与进化计算 · 计算机科学 2019-04-19 William La Cava , Jason H. Moore