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This work is motivated by multimodality breast cancer imaging data, which is quite challenging in that the signals of discrete tumor-associated microvesicles (TMVs) are randomly distributed with heterogeneous patterns. This imposes a…

Machine Learning · Statistics 2019-03-22 Xiwei Tang , Xuan Bi , Annie Qu

We propose a Bayesian tensor-on-tensor regression approach to predict a multidimensional array (tensor) of arbitrary dimensions from another tensor of arbitrary dimensions, building upon the Tucker decomposition of the regression…

Methodology · Statistics 2022-10-21 Kunbo Wang , Yanxun Xu

Normative modeling enables individualized characterization of structural brain deviations by evaluating subjects against a reference population rather than a group average. Most existing implementations treat brain regions independently and…

Methodology · Statistics 2026-05-19 J. T. Korley

Longitudinal fMRI datasets hold great promise for the study of neurodegenerative diseases, but realizing their potential depends on extracting accurate fMRI-based brain measures in individuals over time. This is especially true for rare,…

In an increasing number of neuroimaging studies, brain images, which are in the form of multidimensional arrays (tensors), have been collected on multiple subjects at multiple time points. Of scientific interest is to analyze such massive…

Longitudinal brain imaging data facilitate the monitoring of structural and functional alterations in individual brains across time, offering essential understanding of dynamic neurobiological mechanisms. Such data improve sensitivity for…

Applications · Statistics 2026-02-04 Zhentao Yu , Jiaqi Ding , Guorong Wu , Quefeng Li

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

Machine Learning · Computer Science 2019-08-12 Jonathan Heek , Nal Kalchbrenner

Voxel-based lesion-symptom mapping (VLSM) is a major method for studying brain-behavior relationships that leverages modern neuroimaging analysis techniques to build on the classic approach of examining the relationship between location of…

Applications · Statistics 2016-06-03 Daniel Mirman , Jon-Frederick Landrigan , Spiro Kokolis , Sean Verillo , Casey Ferrara

In clinical practice and biomedical research, measurements are often collected sparsely and irregularly in time while the data acquisition is expensive and inconvenient. Examples include measurements of spine bone mineral density, cancer…

Machine Learning · Statistics 2021-08-05 Łukasz Kidziński , Trevor Hastie

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

We propose a flexible Bayesian approach for estimating the joint density of a multivariate outcome of interest in the presence of categorical covariates. Leveraging a Gaussian copula framework, our method effectively captures the dependence…

Methodology · Statistics 2026-04-10 Giovanni Toto , Peter Müller , Abhra Sarkar

Classical regression methods treat covariates as a vector and estimate a corresponding vector of regression coefficients. Modern applications in medical imaging generate covariates of more complex form such as multidimensional arrays…

Methodology · Statistics 2013-10-22 Hua Zhou , Lexin Li , Hongtu Zhu

Cause-of-death data is fundamental for understanding population health trends and inequalities as well as designing and evaluating public health interventions. A significant proportion of global deaths, particularly in low- and…

Applications · Statistics 2025-02-04 Yu Zhu , Zehang Richard Li

Causal variable selection in time-varying treatment settings is challenging due to evolving confounding effects. Existing methods mainly focus on time-fixed exposures and are not directly applicable to time-varying scenarios. We propose a…

Functional networks characterize the coordinated neural activity observed by functional neuroimaging. The prevalence of different networks during resting state periods provide useful features for predicting the trajectory of…

Signal Processing · Electrical Eng. & Systems 2021-11-16 Hassan Baker , Austin J. Brockmeier

This paper proposes a new high dimensional regression method by merging Gaussian process regression into a variational autoencoder framework. In contrast to other regression methods, the proposed method focuses on the case where output…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 YoungJoon Yoo , Sangdoo Yun , Hyung Jin Chang , Yiannis Demiris , Jin Young Choi

Estimating the marginal and joint densities of the long-term average intakes of different dietary components is an important problem in nutritional epidemiology. Since these variables cannot be directly measured, data are usually collected…

Methodology · Statistics 2022-05-18 Abhra Sarkar

We present a longitudinal MR simulation framework which simulates the future neurodegenerative progression by outputting the predicted follow-up MR image and the voxel-based morphometry (VBM) map. This framework expects the patients to have…

Computer Vision and Pattern Recognition · Computer Science 2015-08-25 Siqi Liu , Sidong Liu , Sonia Pujol , Ron Kikinis , Dagan Feng , Michael Fulham , Weidong Cai

Neural demyelination and brain damage accumulated in white matter appear as hyperintense areas on T2-weighted MRI scans in the form of lesions. Modeling binary images at the population level, where each voxel represents the existence of a…

Methodology · Statistics 2023-05-29 Anna Menacher , Thomas E. Nichols , Chris Holmes , Habib Ganjgahi

In this work we perform a meta-analysis of neuroimaging data, consisting of locations of peak activations identified in 162 separate studies on emotion. Neuroimaging meta-analyses are typically performed using kernel-based methods. However,…

Applications · Statistics 2012-06-29 Yu Ryan Yue , Martin A. Lindquist , Ji Meng Loh