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Changepoints are a very common feature of Big Data that arrive in the form of a data stream. In this paper, we study high-dimensional time series in which, at certain time points, the mean structure changes in a sparse subset of the…

Methodology · Statistics 2017-03-21 Tengyao Wang , Richard J. Samworth

High-dimensional data arise routinely in modern statistics, econometrics, finance, genomics, and machine learning. While a large body of existing methodology is developed under Gaussian or light-tailed assumptions, many real data sets…

Methodology · Statistics 2026-04-16 Long Feng

In astronomy, if we denote the dimension of data as $d$ and the number of samples as $n$, we often meet a case with $n \ll d$. Traditionally, such a situation is regarded as ill-posed, and there was no choice but to throw away most of the…

Instrumentation and Methods for Astrophysics · Physics 2024-02-21 Tsutomu T. Takeuchi , Kazuyoshi Yata , Kento Egashira , Makoto Aoshima , Aki Ishii , Suchetha Cooray , Kouichiro Nakanishi , Kotaro Kohno , Kai T. Kono

For a high-dimensional linear model with a finite number of covariates measured with error, we study statistical inference on the parameters associated with the error-prone covariates, and propose a new corrected decorrelated score test and…

Methodology · Statistics 2020-01-29 Mengyan Li , Runze Li , Yanyuan Ma

Context: Classification of software requirements into different categories is a critically important task in requirements engineering (RE). Developing machine learning (ML) approaches for requirements classification has attracted great…

Software Engineering · Computer Science 2023-02-27 Manal Binkhonain , Liping Zhao

We introduce a new R package, BeSS, for solving the best subset selection problem in linear, logistic and Cox's proportional hazard (CoxPH) models. It utilizes a highly efficient active set algorithm based on primal and dual variables, and…

Computation · Statistics 2020-03-10 Canhong Wen , Aijun Zhang , Shijie Quan , Xueqin Wang

collapse is a large C/C++-based infrastructure package facilitating complex statistical computing, data transformation, and exploration tasks in R - at outstanding levels of performance and memory efficiency. It also implements a…

Computation · Statistics 2025-06-02 Sebastian Krantz

Modern network data analysis often involves analyzing network structures alongside covariate features to gain deeper insights into underlying patterns. However, traditional covariate-assisted statistical network models may not adequately…

Methodology · Statistics 2025-05-07 Peng Zhao , Yabo Niu

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

Optimization and Control · Mathematics 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

We derive generalized estimators for a number of spatial statistics that have been used in the analysis of spatially resolved omics data, such as Ripley's K, H and L functions, clustering index, and degree of clustering, which allow these…

Machine Learning · Statistics 2016-04-12 Jonathan H. Warrell , Anca F. Savulescu , Robyn Brackin , Musa M. Mhlanga

The problem of testing the equality of mean vectors for high-dimensional data has been intensively investigated in the literature. However, most of the existing tests impose strong assumptions on the underlying group covariance matrices…

Statistics Theory · Mathematics 2022-12-29 Tianming Zhu , Pengfei Wang , Jin-Ting Zhang

In this paper, we aim to take one step forward to the scenario where an adaptive subspace detection framework is required to detect subspace signals in non-stationary environments. Despite the fact that this scenario is more realistic, the…

Signal Processing · Electrical Eng. & Systems 2024-01-24 Aref Miri Rekavandi

In this study, we focus on applying L-statistics to the high-dimensional one-sample location test problem. Intuitively, an L-statistic with $k$ parameters tends to perform optimally when the sparsity level of the alternative hypothesis…

Methodology · Statistics 2024-10-21 Huifang Ma , Long Feng , Zhaojun Wang

High-Level Synthesis (HLS) enables hardware design from C/C++ kernels but requires extensive transformations, such as restructuring code, inserting pragmas, adapting data types, and repairing non-synthesizable constructs, to achieve…

Hardware Architecture · Computer Science 2025-12-05 Qingyun Zou , Nuo Chen , Yao Chen , Bingsheng He , WengFei Wong

A block covariance structure is widely observed across large-scale and high-dimensional datasets in diverse fields such as biology, medicine, engineering, economics, and finance. This pattern entails partitioning a covariance matrix into…

Methodology · Statistics 2025-04-22 Yifan Yang , Shuo Chen , Ming Wang

Pandemic measures such as social distancing and contact tracing can be enhanced by rapidly integrating dynamic location data and demographic data. Projecting billions of longitude and latitude locations onto hundreds of thousands of highly…

High-dimensional mean vector testing problem for two or more groups remain a very active research area. In these setting, traditional tests are not applicable because they involve the inversion of rank deficient group covariance matrix. In…

Methodology · Statistics 2022-09-12 Roger S Zoh , Fangzheng Xie

Generalized linear model with $L_1$ and $L_2$ regularization is a widely used technique for solving classification, class probability estimation and regression problems. With the numbers of both features and examples growing rapidly in the…

Machine Learning · Statistics 2017-06-28 Ilya Trofimov , Alexander Genkin

While the problem of testing multivariate normality has received considerable attention in the classical low-dimensional setting where the sample size $n$ is much larger than the feature dimension $d$ of the data, there is presently a…

Methodology · Statistics 2025-12-23 Xin Bing , Derek Latremouille

In the Global Navigation Satellite System (GNSS) context, the growing number of available satellites has lead to many challenges when it comes to choosing the most accurate pseudorange contributions, given the strong impact of biased…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Ibrahim Sbeity , Christophe Villien , Benoît Denis , E. Veronica Belmega