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Motivated by recent work on studying massive imaging data in various neuroimaging studies, we propose a novel spatially varying coefficient model (SVCM) to spatially model the varying association between imaging measures in a…

Methodology · Statistics 2014-12-01 Hongtu Zhu , Jianqing Fan , Linglong Kong

Discrete choice models (DCMs) have been widely utilized in various scientific fields, especially economics, for many years. These models consider a stochastic environment influencing each decision maker's choices. Extensive research has…

General Economics · Economics 2026-01-13 Amirreza Talebi

The phenomenon of linear mode connectivity (LMC) links several aspects of deep learning, including training stability under noisy stochastic gradients, the smoothness and generalization of local minima (basins), the similarity and…

Machine Learning · Computer Science 2025-11-07 C. Hepburn , T. Zielke , A. P. Raulf

We present a comparison between two approaches to modelling hyperelastic material behaviour using data. The first approach is a novel approach based on Data-driven Computational Mechanics (DDCM) that completely bypasses the definition of a…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Martin Zlatić , Felipe Rocha , Laurent Stainier , Marko Čanađija

Functional connectivity (FC) has been widely used to study brain network interactions underlying the emerging cognition and behavior of an individual. FC is usually defined as the correlation or partial correlation between brain regions.…

Applications · Statistics 2020-10-27 Gemeng Zhang , Aiying Zhang , Biao Cai , Zhuozhuo Tu , Vince D. Calhoun , Yu-Ping Wang

Discrete choice models (DCM) are widely employed in travel demand analysis as a powerful theoretical econometric framework for understanding and predicting choice behaviors. DCMs are formed as random utility models (RUM), with their key…

Machine Learning · Computer Science 2023-06-02 Shadi Haj-Yahia , Omar Mansour , Tomer Toledo

In this study we adopt predictive modelling to identify simultaneously commonalities and differences in multi-modal brain networks acquired within subjects. Typically, predictive modelling of functional connectomes from structural…

Neurons and Cognition · Quantitative Biology 2019-11-06 Fani Deligianni , Jonathan D. Clayden , Guang-Zhong Yang

Functional connectivity analysis is an important tool for characterizing interactions among brain regions, particularly in studies of neurodegenerative disorders such as Alzheimer's disease (AD). Gaussian graphical models (GGMs) provide a…

Methodology · Statistics 2026-04-14 Panpan Zhang , Shiying Xiao , W. Hudson Robb , Dandan Liu , Angela L. Jefferson , Jun Yan

The brain's functional connectivity fluctuates over time instead of remaining steady in a stationary mode even during the resting state. This fluctuation establishes the dynamical functional connectivity that transitions in a non-random…

Neurons and Cognition · Quantitative Biology 2022-03-28 Shikuang Deng , Jingwei Li , B. T. Thomas Yeo , Shi Gu

We propose a geometric model-free causality measurebased on multivariate delay embedding that can efficiently detect linear and nonlinear causal interactions between time series with no prior information. We then exploit the proposed causal…

Neural and Evolutionary Computing · Computer Science 2016-07-26 Saba Emrani , Hamid Krim

This thesis is dedicated to the statistical analysis of multi-sub ject fMRI data, with the purpose of identifying bain structures involved in certain cognitive or sensori-motor tasks, in a reproducible way across sub jects. To overcome…

Applications · Statistics 2010-05-19 Merlin Keller , Alexis Roche , Marc Lavielle

Decoding speech from brain signals is a challenging research problem. Although existing technologies have made progress in reconstructing the mel spectrograms of auditory stimuli at the word or letter level, there remain core challenges in…

Sound · Computer Science 2025-08-12 Cunhang Fan , Sheng Zhang , Jingjing Zhang , Enrui Liu , Xinhui Li , Gangming Zhao , Zhao Lv

Recently, there have been several concerted international efforts - the BRAIN initiative, European Human Brain Project and the Human Connectome Project, to name a few - that hope to revolutionize our understanding of the connected brain.…

Neurons and Cognition · Quantitative Biology 2016-02-10 Adeel Razi , Karl Friston

This paper studies the link between resting-state functional connectivity (FC), measured by the correlations of the fMRI BOLD time courses, and structural connectivity (SC), estimated through fiber tractography. Instead of a static analysis…

Precision medicine involves answering counterfactual questions such as "Would this patient respond better to treatment A or treatment B?" These types of questions are causal in nature and require the tools of causal inference to be…

Computer Vision and Pattern Recognition · Computer Science 2021-07-15 Jacob C. Reinhold , Aaron Carass , Jerry L. Prince

Dynamic Mode Decomposition (DMD) is a data-driven and model-free decomposition technique. It is suitable for revealing spatio-temporal features of both numerically and experimentally acquired data. Conceptually, DMD performs a…

Fluid Dynamics · Physics 2020-12-18 Tim Krake , Stefan Reinhardt , Marcel Hlawatsch , Bernhard Eberhardt , Daniel Weiskopf

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

Cognitive diagnosis model (CDM) is a fundamental and upstream component in intelligent education. It aims to infer students' mastery levels based on historical response logs. However, existing CDMs usually follow the ID-based embedding…

Artificial Intelligence · Computer Science 2024-10-22 Yuanhao Liu , Shuo Liu , Yimeng Liu , Jingwen Yang , Hong Qian

Brain networks can be defined and explored through their connectivity. Here, we analyzed the relationship between structural connectivity (SC) across 2,514 regions that cover the entire brain and brainstem, and their dynamic functional…

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao