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Microbiome data analysis is essential for understanding host health and disease, yet its inherent sparsity and noise pose major challenges for accurate imputation, hindering downstream tasks such as biomarker discovery. Existing imputation…

机器学习 · 计算机科学 2025-08-01 Rabeya Tus Sadia , Qiang Cheng

Big data applications, such as medical imaging and genetics, typically generate datasets that consist of few observations n on many more variables p, a scenario that we denote as p>>n. Traditional data processing methods are often…

数据分析、统计与概率 · 物理学 2016-05-18 Magnus O. Ulfarsson , Frosti Palsson , Jakob Sigurdsson , Johannes R. Sveinsson

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

机器学习 · 统计学 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

The Latent Dirichlet Allocation (LDA) model is a popular method for creating mixed-membership clusters. Despite having been originally developed for text analysis, LDA has been used for a wide range of other applications. We propose a new…

信息检索 · 计算机科学 2022-02-24 Gilson Shimizu , Rafael Izbicki , Denis Valle

Linear discriminant analysis (LDA) is an important classification tool in statistics and machine learning. This paper investigates the varying coefficient LDA model for dynamic data, with Bayes' discriminant direction being a function of…

统计方法学 · 统计学 2022-10-11 Yajie Bao , Yuyang Liu

We propose an estimation approach to analyse correlated functional data which are observed on unequal grids or even sparsely. The model we use is a functional linear mixed model, a functional analogue of the linear mixed model. Estimation…

统计方法学 · 统计学 2015-08-10 Jona Cederbaum , Marianne Pouplier , Phil Hoole , Sonja Greven

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

统计理论 · 数学 2024-12-03 Andrew Ying

Longitudinal data often involve heterogeneity, sparse signals, and contamination from response outliers or high-leverage observations especially in biomedical science. Existing methods usually address only part of this problem, either…

统计方法学 · 统计学 2026-02-26 Yuyao Wang , Yu Lu , Tianni Zhang , Mengfei Ran

Multidimensional scaling (MDS) is a dimensionality reduction technique for microbial ecology data analysis that represents the multivariate structure while preserving pairwise distances between samples. While its improvement has enhanced…

The advances of next-generation sequencing technology have accelerated study of the microbiome and stimulated the high throughput profiling of metagenomes. The large volume of sequenced data has encouraged the rise of various studies for…

统计方法学 · 统计学 2019-04-30 Qiwei Li , Shuang Jiang , Andrew Y. Koh , Guanghua Xiao , Xiaowei Zhan

In this survey we discuss the recent causal panel data literature. This recent literature has focused on credibly estimating causal effects of binary interventions in settings with longitudinal data, emphasizing practical advice for…

计量经济学 · 经济学 2024-06-26 Dmitry Arkhangelsky , Guido Imbens

Many policy evaluations involve vectors of category-specific quantities, either categorical outcomes (e.g., employment type, major choice) or compositional measures (e.g., GDP by sector, votes by party, electricity generation by source). In…

计量经济学 · 经济学 2026-02-19 Onil Boussim

Microbiome data are complex in nature, involving high dimensionality, compositionally, zero inflation, and taxonomic hierarchy. Compositional data reside in a simplex that does not admit the standard Euclidean geometry. Most existing…

统计方法学 · 统计学 2020-11-12 Gen Li , Yan Li , Kun Chen

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

应用统计 · 统计学 2017-11-17 Kris Sankaran , Susan P. Holmes

Supervised classifying of biological samples based on genetic information, (e.g. gene expression profiles) is an important problem in biostatistics. In order to find both accurate and interpretable classification rules variable selection is…

统计方法学 · 统计学 2012-08-09 Bernd Klaus

The study of immune cellular composition has been of great scientific interest in immunology because of the generation of multiple large-scale data. From the statistical point of view, such immune cellular data should be treated as…

应用统计 · 统计学 2022-04-22 Jinkyung Yoo , Zequn Sun , Michael Greenacre , Qin Ma , Dongjun Chung , Young Min Kim

Linear Discriminant Analysis (LDA) on Electronic Health Records (EHR) data is widely-used for early detection of diseases. Classical LDA for EHR data classification, however, suffers from two handicaps: the ill-posed estimation of LDA…

机器学习 · 计算机科学 2017-04-26 Haoyi Xiong , Wei Cheng , Wenqing Hu , Jiang Bian , Zhishan Guo

High-throughput sequencing has transformed microbiome research, but it also produces inherently compositional data that challenge standard statistical and machine learning methods. In this work, we propose a multinomial classification…

应用统计 · 统计学 2025-12-23 R. Alberich , N. A. Cruz , R. Fernández , I. García Mosquera , A. Mir , F. Rosselló

The problem of complex data analysis is a central topic of modern statistical science and learning systems and is becoming of broader interest with the increasing prevalence of high-dimensional data. The challenge is to develop statistical…

机器学习 · 统计学 2018-03-05 Faicel Chamroukhi , Hien D. Nguyen

Understanding effect modification -- how treatment effects vary across subpopulations -- is practically important in observational studies, as it helps identify which subgroups are likely to benefit from a given treatment. In this paper, we…

统计方法学 · 统计学 2026-05-12 Yu Gui , Dylan S Small , Zhimei Ren