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Tensor-based representations are being increasingly used to represent complex data types such as imaging data, due to their appealing properties such as dimension reduction and the preservation of spatial information. Recently, there is a…

Methodology · Statistics 2023-12-15 Rongke Lyu , Marina Vannucci , Suprateek Kundu

We propose a novel tensor-on-tensor modeling framework that flexibly models nonlinear voxel-level relationships using Gaussian process (GP) priors, while incorporating the spatial structure of the output tensor through low-rank tensor-based…

Methodology · Statistics 2026-04-10 Yajie Liu , Hengrui Luo , Suprateek Kundu

A major interest in longitudinal neuroimaging studies involves investigating voxel-level neuroplasticity due to treatment and other factors across visits. However, traditional voxel-wise methods are beset with several pitfalls, which can…

Neurons and Cognition · Quantitative Biology 2023-10-19 Suprateek Kundu , Alec Reinhardt , Serena Song , Joo Han , M. Lawson Meadows , Bruce Crosson , Venkatagiri Krishnamurthy

The assessment of Alzheimer's Disease (AD) and Mild Cognitive Impairment (MCI) associated with brain changes remains a challenging task. Recent studies have demonstrated that combination of multi-modality imaging techniques can better…

Machine Learning · Computer Science 2022-09-26 Jun Yu , Zhaoming Kong , Liang Zhan , Li Shen , Lifang He

In this study, a longitudinal regression model for covariance matrix outcomes is introduced. The proposal considers a multilevel generalized linear model for regressing covariance matrices on (time-varying) predictors. This model…

Methodology · Statistics 2022-02-10 Yi Zhao , Brian S. Caffo , Xi Luo

As societies around the world are ageing, the number of Alzheimer's disease (AD) patients is rapidly increasing. To date, no low-cost, non-invasive biomarkers have been established to advance the objectivization of AD diagnosis and…

Several biomarkers are hypothesized to indicate early stages of Alzheimer's disease, well before the cognitive symptoms manifest. Their precise relations to the disease progression, however, is poorly understood. This lack of understanding…

Applications · Statistics 2025-05-12 Mingyuan Li , Zheyu Wang , Akihiko Nishimura

Tensor regression models, such as CP regression and Tucker regression, have many successful applications in neuroimaging analysis where the covariates are of ultrahigh dimensionality and possess complex spatial structures. The…

Machine Learning · Computer Science 2020-10-29 Da Xu

A novel framework is proposed for handling the complex task of modelling and analysis of longitudinal, multivariate, heterogeneous clinical data. This method uses temporal abstraction to convert the data into a more appropriate form for…

Machine Learning · Computer Science 2025-05-09 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

Longitudinal data are often plagued with sparsity of time points where measurements are available. The functional data analysis perspective has been shown to provide an effective and flexible approach to address this problem for the case…

Methodology · Statistics 2017-02-13 Matthew Dawson , Hans-Georg Müller

We develop a Bayesian bivariate spatial model for multivariate regression analysis applicable to studies examining the influence of genetic variation on brain structure. Our model is motivated by an imaging genetics study of the Alzheimer's…

Methodology · Statistics 2020-05-26 Yin Song , Shufei Ge , Jiguo Cao , Liangliang Wang , Farouk S. Nathoo

We introduce a novel longitudinal mixed model for analyzing complex multidimensional functional data, addressing challenges such as high-resolution, structural complexities, and computational demands. Our approach integrates dimension…

Methodology · Statistics 2026-02-16 Arkaprava Roy , Abhra Sarkar

Longitudinal magnetic resonance imaging data is used to model trajectories of change in brain regions of interest to identify areas susceptible to atrophy in those with neurodegenerative conditions like Alzheimer's disease. Most methods for…

Applications · Statistics 2024-07-25 Robert Zielinski , Kun Meng , Ani Eloyan

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. Despite the many advantages of joint modeling, the standard forms suffer from limitations that arise…

Machine Learning · Statistics 2018-07-10 Bryan Lim , Mihaela van der Schaar

We study possible relations between the structure of the connectome, white matter connecting different regions of brain, and Alzheimer disease. Regression models in covariates including age, gender and disease status for the extent of white…

Methodology · Statistics 2021-04-22 Arkaprava Roy , Subhashis Ghosal , Jeffrey Prescott , Kingshuk Roy Choudhury

Characterization of long-term disease dynamics, from disease-free to end-stage, is integral to understanding the course of neurodegenerative diseases such as Parkinson's and Alzheimer's; and ultimately, how best to intervene. Natural…

Applications · Statistics 2018-01-12 Dan Li , Samuel Iddi , Wesley K. Thompson , Michael C. Donohue

Alzheimer's disease is the most common neurodegenerative disease. The aim of this study is to infer structural changes in brain connectivity resulting from disease progression using cortical thickness measurements from a cohort of…

Purpose: This study investigates whether a machine-learning-based system can predict the rate of cognitive decline in mildly cognitively impaired patients by processing only the clinical and imaging data collected at the initial visit.…

Quantitative Methods · Quantitative Biology 2020-10-07 Sema Candemir , Xuan V. Nguyen , Luciano M. Prevedello , Matthew T. Bigelow , Richard D. White , Barbaros S. Erdal

All neuroimaging modalities have their own strengths and limitations. A current trend is toward interdisciplinary approaches that use multiple imaging methods to overcome limitations of each method in isolation. At the same time…

Methodology · Statistics 2023-03-30 Pratim Guha Niyogi , Martin A. Lindquist , Tapabrata Maiti

Pre-symptomatic (or Preclinical) Alzheimer's Disease is defined by biomarker evidence of fibrillar amyloid beta pathology in the absence of clinical symptoms. Clinical trials in this early phase of disease are challenging due to the slow…

Applications · Statistics 2020-03-10 Dan Li , Samuel Iddi , Paul S. Aisen , Wesley K. Thompson , Michael C. Donohue
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