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Linear Discriminant Analysis (LDA) is a well-known technique for feature extraction and dimension reduction. The performance of classical LDA, however, significantly degrades on the High Dimension Low Sample Size (HDLSS) data for the…

机器学习 · 计算机科学 2023-03-09 Sijia Yang , Haoyi Xiong , Kaibo Xu , Licheng Wang , Jiang Bian , Zeyi Sun

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

机器学习 · 统计学 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

机器学习 · 统计学 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

We introduce profile matching, a multivariate matching method for randomized experiments and observational studies that finds the largest possible unweighted samples across multiple treatment groups that are balanced relative to a covariate…

统计方法学 · 统计学 2022-07-07 Eric R. Cohn , Jose R. Zubizarreta

Background With microarray technology becoming mature and popular, the selection and use of a small number of relevant genes for accurate classification of samples is a hot topic in the circles of biostatistics and bioinformatics. However,…

统计方法学 · 统计学 2014-03-05 Suyan Tian , Mayte Suárez-Fariñas

We consider a problem where mutually untrusting curators possess portions of a vertically partitioned database containing information about a set of individuals. The goal is to enable an authorized party to obtain aggregate (statistical)…

密码学与安全 · 计算机科学 2013-04-18 Bing-Rong Lin , Ye Wang , Shantanu Rane

Large high-dimensional datasets are becoming more and more popular in an increasing number of research areas. Processing the high dimensional data incurs a high computational cost and is inherently inefficient since many of the values that…

计算机视觉与模式识别 · 计算机科学 2013-05-01 Alon Schclar

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

最优化与控制 · 数学 2024-02-07 Yongqiang Wang , Angelia Nedic

Prompt-based methods leverage the knowledge of pre-trained language models (PLMs) trained with a masked language modeling (MLM) objective; however, these methods are sensitive to template, verbalizer, and few-shot instance selection,…

计算与语言 · 计算机科学 2025-07-02 Mohna Chakraborty , Adithya Kulkarni , Qi Li

Simulation studies are commonly used to evaluate the performance of newly developed meta-analysis methods. For methodology that is developed for an aggregated data meta-analysis, researchers often resort to simulation of the aggregated data…

应用统计 · 统计学 2022-01-19 Edwin R. van den Heuvel , Osama Almalik , Zhuozhao Zhan

Machine learning models trained with purely observational data and the principle of empirical risk minimization \citep{vapnik_principles_1992} can fail to generalize to unseen domains. In this paper, we focus on the case where the problem…

机器学习 · 统计学 2020-10-27 Maximilian Ilse , Jakub M. Tomczak , Patrick Forré

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy

Subset selection for multiple linear regression aims to construct a regression model that minimizes errors by selecting a small number of explanatory variables. Once a model is built, various statistical tests and diagnostics are conducted…

机器学习 · 统计学 2020-09-04 Seokhyun Chung , Young Woong Park , Taesu Cheong

Labeling patients in electronic health records with respect to their statuses of having a disease or condition, i.e. case or control statuses, has increasingly relied on prediction models using high-dimensional variables derived from…

统计方法学 · 统计学 2021-10-14 Zijian Guo , Prabrisha Rakshit , Daniel S. Herman , Jinbo Chen

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

统计方法学 · 统计学 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

Longitudinal biomarker data and health outcomes are routinely collected in many studies to assess how biomarker trajectories predict health outcomes. Existing methods primarily focus on mean biomarker profiles, treating variability as a…

We consider the problem of model selection in a high-dimensional sparse linear regression model under privacy constraints. We propose a differentially private (DP) best subset selection method with strong statistical utility properties by…

机器学习 · 统计学 2024-10-30 Saptarshi Roy , Zehua Wang , Ambuj Tewari

In multiple domains, statistical tasks are performed in distributed settings, with data split among several end machines that are connected to a fusion center. In various applications, the end machines have limited bandwidth and power, and…

机器学习 · 计算机科学 2026-01-05 Rodney Fonseca , Boaz Nadler

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

Sparse variable selection improves interpretability and generalization in high-dimensional learning by selecting a small subset of informative features. Recent advances in Mixed Integer Programming (MIP) have enabled solving large-scale…

机器学习 · 统计学 2025-10-28 Petros Prastakos , Kayhan Behdin , Rahul Mazumder