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Persistent homology is used to track the appearance and disappearance of features as we move through a nested sequence of topological spaces. Equating the nested sequence to a filtration and the appearance and disappearance of features to…

统计理论 · 数学 2020-12-17 Kathryn Garside , Aida Gjoka , Robin Henderson , Hollie Johnson , Irina Makarenko

Feature screening is an important tool in analyzing ultrahigh-dimensional data, particularly in the field of Omics and oncology studies. However, most attention has been focused on identifying features that have a linear or monotonic impact…

统计方法学 · 统计学 2023-05-10 Yaxian Chen , KF Lam , Zhonghua Liu

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

应用统计 · 统计学 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Functional data is a powerful tool for capturing and analyzing complex patterns and relationships in a variety of fields, allowing for more precise modeling, visualization, and decision-making. For example, in healthcare, functional data…

统计方法学 · 统计学 2023-04-26 Xiyuan Gao , Jiayi Wang , Guanyu Hu , Jianguo Sun

Many types of bounded data defined on the unit interval arise naturally as ratios of the form $X/(X + Y)$. In the existing literature, the main statistical models proposed for this type of bounded data typically based on the assumption that…

统计方法学 · 统计学 2026-03-04 Roberto Vila , Felipe Quintino , Marcelo Bourguignon

Capturing complex dependence structures between outcome variables (e.g., study endpoints) is of high relevance in contemporary biomedical data problems and medical research. Distributional copula regression provides a flexible tool to model…

统计方法学 · 统计学 2022-02-28 Nicolai Hans , Nadja Klein , Florian Faschingbauer , Michael Schneider , Andreas Mayr

Modeling inter-dependencies between time-series is the key to achieve high performance in anomaly detection for multivariate time-series data. The de-facto solution to model the dependencies is to feed the data into a recurrent neural…

机器学习 · 计算机科学 2021-08-17 Yuhang Wu , Mengting Gu , Lan Wang , Yusan Lin , Fei Wang , Hao Yang

The early detection of Alzheimer's disease (AD) requires an understanding of the relationships between a wide range of features. Conditional independencies and partial correlations are suitable measures for these relationships, because they…

应用统计 · 统计学 2025-01-22 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil , Martin Dyrba

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

统计理论 · 数学 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Alzheimer's disease (AD) is a progressive neurodegenerative condition necessitating early and precise diagnosis to provide prompt clinical management. Given the paramount importance of early diagnosis, recent studies have increasingly…

机器学习 · 计算机科学 2026-02-18 Fatemeh Khalvandi , Saadat Izadi , Abdolah Chalechale

In genome-wide interaction studies, to detect gene-gene interactions, most methods are divided into two folds: single nucleotide polymorphisms (SNP) based and gene-based methods. Basically, the methods based on the gene are more effective…

机器学习 · 统计学 2016-06-02 Md ashad Alam , Osamu Komori , Yu-Ping Wang

The statistical analysis of univariate quantiles is a well developed research topic. However, there is a need for research in multivariate quantiles. We construct bivariate (conditional) quantiles using the level curves of vine copula based…

统计方法学 · 统计学 2023-07-04 Marija Tepegjozova , Claudia Czado

We propose and demonstrate a joint model of anatomical shapes, image features and clinical indicators for statistical shape modeling and medical image analysis. The key idea is to employ a copula model to separate the joint dependency…

图像与视频处理 · 电气工程与系统科学 2019-09-10 Bernhard Egger , Markus D. Schirmer , Florian Dubost , Marco J. Nardin , Natalia S. Rost , Polina Golland

The differential network (DN) analysis identifies changes in measures of association among genes under two or more experimental conditions. In this article, we introduce a Pseudo-value Regression Approach for Network Analysis (PRANA). This…

统计方法学 · 统计学 2023-03-27 Seungjun Ahn , Tyler Grimes , Somnath Datta

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

统计方法学 · 统计学 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

In dependently censored survival data, the usual assumption of independent censoring or an incorrect specification of the correlation between the event and censoring times can bias marginal survival inference. Likelihood-based estimation of…

统计方法学 · 统计学 2026-04-07 Hyun-Soo Zhang , Inkyung Jung , Chung Mo Nam

Time-to-event analysis is an important statistical tool for allocating clinical resources such as ICU beds. However, classical techniques like the Cox model cannot directly incorporate images due to their high dimensionality. We propose a…

图像与视频处理 · 电气工程与系统科学 2021-08-24 Michelle Shu , Richard Strong Bowen , Charles Herrmann , Gengmo Qi , Michele Santacatterina , Ramin Zabih

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

统计方法学 · 统计学 2014-04-15 Xiaoquan Wen , Matthew Stephens

Identifying genes associated with diseases is crucial to understanding disease mechanisms and developing therapies. However, identification of individual genes associated with a disease often needs to be supplemented with clustering…

基因组学 · 定量生物学 2026-04-30 Brayan Gutierrez , Rinki Ratnapriya , Arko Barman

Meta-analysis of multiple genome-wide association studies (GWAS) is effective for detecting single or multi marker associations with complex traits. We develop a flexible procedure ("STAMP") based on mixture models to perform region based…

统计方法学 · 统计学 2018-01-01 Andriy Derkach , Ruth M. Pfeiffer