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High-dimensional structural MRI (sMRI) images are widely used for Alzheimer's Disease (AD) diagnosis. Most existing methods for sMRI representation learning rely on 3D architectures (e.g., 3D CNNs), slice-wise feature extraction with late…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Dexuan Ding , Ciyuan Peng , Endrowednes Kuantama , Jingcai Guo , Jia Wu , Jian Yang , Amin Beheshti , Ming-Hsuan Yang , Yuankai Qi

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

We propose a mesh-based technique to aid in the classification of Alzheimer's disease dementia (ADD) using mesh representations of the cortex and subcortical structures. Deep learning methods for classification tasks that utilize structural…

Image and Video Processing · Electrical Eng. & Systems 2022-03-14 Emanuel A. Azcona , Pierre Besson , Yunan Wu , Arjun Punjabi , Adam Martersteck , Amil Dravid , Todd B. Parrish , S. Kathleen Bandt , Aggelos K. Katsaggelos

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

The growing use of neuroimaging technologies generates a massive amount of biomedical data that exhibit high dimensionality. Tensor-based analysis of brain imaging data has been proved quite effective in exploiting their multiway nature.…

Numerical Analysis · Computer Science 2016-07-21 Christos Chatzichristos , Eleftherios Kofidis , Giannis Kopsinis , Sergios Theodoridis

Deep learning has shown significant potential in diagnosing neurodegenerative diseases from MRI data. However, most existing methods rely heavily on large volumes of labeled data and often yield representations that lack interpretability.…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Fangqi Cheng , Yingying Zhao , Xiaochen Yang

In this work, we present tensor-based linear and nonlinear models for hyperspectral data classification and analysis. By exploiting principles of tensor algebra, we introduce new classification architectures, the weight parameters of which…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 Konstantinos Makantasis , Anastasios Doulamis , Nikolaos Doulamis , Antonis Nikitakis

Imaging and genomic data offer distinct and rich features, and their integration can unveil new insights into the complex landscape of diseases. In this study, we present a novel approach utilizing radiogenomic data including structural MRI…

Machine Learning · Computer Science 2025-05-16 Aditya Raj , Golrokh Mirzaei

Alzheimer's disease (AD) is characterized by complex and largely unknown progression dynamics affecting the brain's morphology. Although the disease evolution spans decades, to date we cannot rely on long-term data to model the pathological…

Applications · Statistics 2019-08-14 Clement Abi Nader , Nicholas Ayache , Philippe Robert , Marco Lorenzi

To address the common problem of high dimensionality in tensor regressions, we introduce a generalized tensor random projection method that embeds high-dimensional tensor-valued covariates into low-dimensional subspaces with minimal loss of…

Methodology · Statistics 2025-10-03 Roberto Casarin , Radu Craiu , Qing Wang

In many application areas, data are collected on a categorical response and high-dimensional categorical predictors, with the goals being to build a parsimonious model for classification while doing inferences on the important predictors.…

Methodology · Statistics 2013-01-22 Yun Yang , David B. Dunson

Cell image analysis is crucial in Alzheimer's research to detect the presence of A$\beta$ protein inhibiting cell function. Deep learning speeds up the process by making only low-level data sufficient for fruitful inspection. We first found…

Image and Video Processing · Electrical Eng. & Systems 2021-08-04 Wooseok Jung

Data augmentation improves the convergence of iterative algorithms, such as the EM algorithm and Gibbs sampler by introducing carefully designed latent variables. In this article, we first propose a data augmentation scheme for the…

Methodology · Statistics 2022-07-06 Linda S. L. Tan

Technological advances have led to a proliferation of structured big data that have matrix-valued covariates. We are specifically motivated to build predictive models for multi-subject neuroimaging data based on each subject's brain imaging…

Methodology · Statistics 2015-05-15 Yue Hu , Genevera I. Allen

With the increasing adoption of machine learning tools like neural networks across several domains, interesting connections and comparisons to concepts from other domains are coming to light. In this work, we focus on the class of Tensor…

Machine Learning · Computer Science 2020-04-22 Raghavendra Selvan , Erik B Dam

This paper proposes a new methodology to predict and update the residual useful lifetime of a system using a sequence of degradation images. The methodology integrates tensor linear algebra with traditional location-scale regression widely…

Applications · Statistics 2017-06-13 Xiaolei Fang , Kamran Paynabar , Nagi Gebraeel

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

Applications · Statistics 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

Alzheimer's disease (AD) is a progressive and incurable neurodegenerative disease which destroys brain cells and causes loss to patient's memory. An early detection can prevent the patient from further damage of the brain cells and hence…

Image and Video Processing · Electrical Eng. & Systems 2021-01-11 Ali Nawaz , Syed Muhammad Anwar , Rehan Liaqat , Javid Iqbal , Ulas Bagci , Muhammad Majid

Tensor-valued data are being encountered increasingly more commonly, in the biological, natural as well as the social sciences. The learning of the unknown model parameter vector given such data, involves covariance modelling of such data,…

Applications · Statistics 2015-06-19 Kangrui Wang , Dalia Chakrabarty

Alzheimer's disease (AD) is a complex neurodegenerative disorder characterized by the progressive accumulation of misfolded proteins, leading to cognitive decline. This study presents a novel stochastic modelling approach to simulate the…

Neurons and Cognition · Quantitative Biology 2024-11-06 Alec MacIver , Hina Shaheen