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A critical step in data analysis for many different types of experiments is the identification of features with theoretically defined shapes in N-dimensional datasets; examples of this process include finding peaks in multi-dimensional…

Data Analysis, Statistics and Probability · Physics 2022-08-25 Korak Kumar Ray , Anjali R. Verma , Ruben L. Gonzalez , Colin D. Kinz-Thompson

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

Methodology · Statistics 2021-07-07 Yinan Mao , David J. Nott

With the advent of the big data era, the data quality problem is becoming more critical. Among many factors, data with missing values is one primary issue, and thus developing effective imputation models is a key topic in the research…

Machine Learning · Computer Science 2023-08-04 Xinyao Liu , Shengdong Du , Tianrui Li , Fei Teng , Yan Yang

Multimodal medical images play a crucial role in the precise and comprehensive clinical diagnosis. Diffusion model is a powerful strategy to synthesize the required medical images. However, existing approaches still suffer from the problem…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Jiahua Xu , Dawei Zhou , Lei Hu , Zaiyi Liu , Nannan Wang , Xinbo Gao

Integrative modeling of macromolecular assemblies allows for structural characterization of large assemblies that are recalcitrant to direct experimental observation. A Bayesian inference approach facilitates combining data from…

Biomolecules · Quantitative Biology 2026-01-13 Shreyas Arvindekar , Kartik Majila , Shruthi Viswanath

Linear mixed models are a versatile statistical tool to study data by accounting for fixed effects and random effects from multiple sources of variability. In many situations, a large number of candidate fixed effects is available and it is…

Methodology · Statistics 2022-09-09 Emanuele Degani , Luca Maestrini , Dorota Toczydłowska , Matt P. Wand

Motivated by the need to study the molecular mechanism underlying Type 1 Diabetes (T1D) with the gene expression data collected from both the patients and healthy controls at multiple time points, we propose an innovative method for jointly…

Methodology · Statistics 2018-12-10 Bochao Jia , Faming Liang , the TEDDY Study Group

Objectives: Functional connectivity triggered by naturalistic stimulus (e.g., movies) and machine learning techniques provide a great insight in exploring the brain functions such as fluid intelligence. However, functional connectivity are…

Artificial Intelligence · Computer Science 2021-01-07 Xiaobo Liu , Su Yang

Joint alignment of a collection of functions is the process of independently transforming the functions so that they appear more similar to each other. Typically, such unsupervised alignment algorithms fail when presented with complex data…

Machine Learning · Computer Science 2012-10-19 Marwan A. Mattar , Allen R. Hanson , Erik G. Learned-Miller

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

Numerical Analysis · Mathematics 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl

Background: The most widely used approach to joint modelling of repeated measurement and time to event data is to combine a linear Gaussian random effects model for the repeated measurements with a log-Gaussian frailty model for the…

Methodology · Statistics 2016-09-12 Elisabeth Waldmann , David Taylor-Robinson

We consider inference for misaligned multivariate functional data that represents the same underlying curve, but where the functional samples have systematic differences in shape. In this paper we introduce a new class of generally…

Applications · Statistics 2023-01-23 Niels Lundtorp Olsen , Bo Markussen , Lars Lau Rakêt

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

Methodology · Statistics 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

Detecting associations between microbial compositions and sample characteristics is one of the most important tasks in microbiome studies. Most of the existing methods apply univariate models to single microbial species separately, with…

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

Methodology · Statistics 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

Functional data are defined as realizations of random functions (mostly smooth functions) varying over a continuum, which are usually collected with measurement errors on discretized grids. In order to accurately smooth noisy functional…

Methodology · Statistics 2016-12-13 Jingjing Yang , Dennis D. Cox , Jong Soo Lee , Peng Ren , Taeryon Choi

Functional data are ubiquitous in scientific modeling. For instance, quantities of interest are modeled as functions of time, space, energy, density, etc. Uncertainty quantification methods for computer models with functional response have…

Methodology · Statistics 2024-09-25 Devin Francom , J. Derek Tucker , Gabriel Huerta , Kurtis Shuler , Daniel Ries

Current multi-modal image fusion methods typically rely on task-specific models, leading to high training costs and limited scalability. While generative methods provide a unified modeling perspective, they often suffer from slow inference…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Huayi Zhu , Xiu Shu , Youqiang Xiong , Qiao Liu , Rui Chen , Di Yuan , Xiaojun Chang , Zhenyu He

Having been studied since long by statisticians, multivariate median concepts found their way into the image processing literature in the course of the last decades, being used to construct robust and efficient denoising filters for…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Martin Welk

Nonlinear mixed effects models have become a standard platform for analysis when data is in the form of continuous and repeated measurements of subjects from a population of interest, while temporal profiles of subjects commonly follow a…

Methodology · Statistics 2022-03-04 Se Yoon Lee