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We describe an R package named huge which provides easy-to-use functions for estimating high dimensional undirected graphs from data. This package implements recent results in the literature, including Friedman et al. (2007), Liu et al.…

Machine Learning · Statistics 2020-06-29 Tuo Zhao , Han Liu , Kathryn Roeder , John Lafferty , Larry Wasserman

This paper deals with the dimension reduction for high-dimensional time series based on common factors. In particular we allow the dimension of time series $p$ to be as large as, or even larger than, the sample size $n$. The estimation for…

Statistics Theory · Mathematics 2010-06-15 Clifford Lam , Qiwei Yao , Neil Bathia

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

Linear discriminant analysis (LDA) is a powerful tool in building classifiers with easy computation and interpretation. Recent advancements in science technology have led to the popularity of datasets with high dimensions, high orders and…

Computation · Statistics 2019-04-09 Yuqing Pan , Qing Mai , Xin Zhang

The R-package phtt provides estimation procedures for panel data with large dimensions n, T, and general forms of unobservable heterogeneous effects. Particularly, the estimation procedures are those of Bai (2009) and Kneip, Sickles, and…

Computation · Statistics 2014-07-25 Oualid Bada , Dominik Liebl

High-dimensional time series prediction is needed in applications as diverse as demand forecasting and climatology. Often, such applications require methods that are both highly scalable, and deal with noisy data in terms of corruptions or…

Machine Learning · Computer Science 2016-02-18 Hsiang-Fu Yu , Nikhil Rao , Inderjit S. Dhillon

High dimensional correlated binary data arise in many areas, such as observed genetic variations in biomedical research. Data simulation can help researchers evaluate efficiency and explore properties of different computational and…

Methodology · Statistics 2020-07-29 Wei Jiang , Shuang Song , Lin Hou , Hongyu Zhao

Principal component analysis (PCA) is a classical and widely used method for dimensionality reduction, with applications in data compression, computer vision, pattern recognition, and signal processing. However, PCA is designed for…

Methodology · Statistics 2025-10-01 Wenhui Wu , Changchun Shang , Jianhua Zhao , Xuan Ma , Yue Wang

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

Multivariate time series anomaly detection (MTSAD) aims to accurately identify and localize complex abnormal patterns in the large-scale industrial control systems. While existing approaches excel in recognizing the distinct patterns under…

Machine Learning · Computer Science 2025-12-17 Xuechun Liu , Heli Sun , Xuecheng Wu , Ruichen Cao , Yunyun Shi , Dingkang Yang , Haoran Li

In the context of regression with a large number of explanatory variables, Cox and Battey (2017) emphasize that if there are alternative reasonable explanations of the data that are statistically indistinguishable, one should aim to specify…

Computation · Statistics 2019-03-15 Henrique Helfer Hoeltgebaum , Heather Battey

It is critical to accurately simulate data when employing Monte Carlo techniques and evaluating statistical methodology. Measurements are often correlated and high dimensional in this era of big data, such as data obtained in…

We propose a new framework for modeling high-dimensional matrix-variate time series by a two-way transformation, where the transformed data consist of a matrix-variate factor process, which is dynamically dependent, and three other blocks…

Econometrics · Economics 2021-08-19 Zhaoxing Gao , Ruey S. Tsay

Meta-analysis of diagnostic test accuracy (DTA) is the powerful statistical method for synthesizing and evaluating the diagnostic capacity of the medical tests and has been extensively used by clinical physicians and healthcare…

Applications · Statistics 2023-03-07 Shosuke Mizutani , Yi Zhou , Yu-Shi Tian , Tatsuya Takagi , Tadayasu Ohkubo , Satoshi Hattori

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

R is a popular language and programming environment for data scientists. It is increasingly co-packaged with both relational and Hadoop-based data platforms and can often be the most dominant computational component in data analytics…

Programming Languages · Computer Science 2017-07-04 Rathijit Sen , Jianqiao Zhu , Jignesh M. Patel , Somesh Jha

We consider the sparse principal component analysis for high-dimensional stationary processes. The standard principal component analysis performs poorly when the dimension of the process is large. We establish the oracle inequalities for…

Statistics Theory · Mathematics 2021-09-17 Kou Fujimori , Yuichi Goto , Yan Liu , Masanobu Taniguchi

Time-series data in application areas such as motion capture and activity recognition is often multi-dimension. In these application areas data typically comes from wearable sensors or is extracted from video. There is a lot of redundancy…

Machine Learning · Computer Science 2021-04-23 Bahavathy Kathirgamanathan , Padraig Cunningham

Regularized discriminant analysis (RDA), proposed by Friedman (1989), is a widely popular classifier that lacks interpretability and is impractical for high-dimensional data sets. Here, we present an interpretable and computationally…

Machine Learning · Statistics 2017-02-07 John A. Ramey , Caleb K. Stein , Phil D. Young , Dean M. Young

While Weighted Lasso sparse regression has appealing statistical guarantees that would entail a major real-world impact in finance, genomics, and brain imaging applications, it is typically scarcely adopted due to its complex…

Machine Learning · Computer Science 2022-06-13 Kenan Šehić , Alexandre Gramfort , Joseph Salmon , Luigi Nardi
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