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Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data. The selection of the number, d, of the FPC's to be used in a specific procedure has…

Statistics Theory · Mathematics 2013-02-26 Stefan Fremdt , Lajos Horváth , Piotr Kokoszka , Josef G. Steinebach

Functional Spectral Imaging (FSI) models image formation as the recovery of tissue surrogates such as density and stiffness from spectral perturbations of a self-adjoint elliptic operator. Rather than relying on reflectivity or relaxation…

Medical Physics · Physics 2025-10-21 Cesar Mello Fernando Medina da Cunha

Generative Adversarial Networks (GANs) are a powerful class of generative models. Despite their successes, the most appropriate choice of a GAN network architecture is still not well understood. GAN models for image synthesis have adopted a…

Machine Learning · Computer Science 2019-05-28 Sukarna Barua , Sarah Monazam Erfani , James Bailey

Brain gender differences have been known for a long time and are the possible reason for many psychological, psychiatric and behavioral differences between males and females. Predicting genders from brain functional connectivity (FC) can…

Image and Video Processing · Electrical Eng. & Systems 2020-05-19 Gengyan Zhao , Gyujoon Hwang , Cole J. Cook , Fang Liu , Mary E. Meyerand , Rasmus M. Birn

Functional brain connectivity, as revealed through distant correlations in the signals measured by functional Magnetic Resonance Imaging (fMRI), is a promising source of biomarkers of brain pathologies. However, establishing and using…

We consider the challenges in extracting stimulus-related neural dynamics from other intrinsic processes and noise in naturalistic functional magnetic resonance imaging (fMRI). Most studies rely on inter-subject correlations (ISC) of…

Neurons and Cognition · Quantitative Biology 2021-02-23 Chee-Ming Ting , Jeremy I. Skipper , Steven L. Small , Hernando Ombao

Multisequence Magnetic Resonance Imaging (MRI) provides a more reliable diagnosis in clinical applications through complementary information across sequences. However, in practice, the absence of certain MR sequences is a common problem…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Jihoon Cho , Jonghye Woo , Jinah Park

Feature construction can contribute to comprehensibility and performance of machine learning models. Unfortunately, it usually requires exhaustive search in the attribute space or time-consuming human involvement to generate meaningful…

Machine Learning · Computer Science 2023-01-24 Boštjan Vouk , Matej Guid , Marko Robnik-Šikonja

Purpose: Recent developments in hardware design enable the use of Fast Field-Cycling (FFC) techniques in MRI to exploit the different relaxation rates at very low field strength, achieving novel contrast. The method opens new avenues for in…

Signal Processing · Electrical Eng. & Systems 2021-05-19 Markus Bödenler , Oliver Maier , Rudolf Stollberger , Lionel M. Broche , P. James Ross , Mary-Joan MacLeod , Hermann Scharfetter

Federated learning enables collaborative training of deep learning models across institutions without sharing sensitive patient data. However, its performance is often limited by small datasets and non-independent, identically distributed…

Image and Video Processing · Electrical Eng. & Systems 2026-04-17 Hongyi Pan , Ziliang Hong , Gorkem Durak , Ziyue Xu , Ulas Bagci

In response to the increasing volume and sensitivity of data, traditional centralized computing models face challenges, such as data security breaches and regulatory hurdles. Federated Computing (FC) addresses these concerns by enabling…

Machine Learning · Computer Science 2024-04-04 René Schwermer , Ruben Mayer , Hans-Arno Jacobsen

We present the general forms of piece-wise functions on partitioned domains satisfying an intrinsic $C^0$ or $C^1$ continuity across the sub-domain boundaries. These general forms are constructed based on a strategy stemming from the theory…

Numerical Analysis · Mathematics 2024-03-12 Jielin Yang , Suchuan Dong

To explain individual differences in development, behavior, and cognition, most previous studies focused on projecting resting-state functional MRI (fMRI) based functional connectivity (FC) data into a low-dimensional space via linear…

Neurons and Cognition · Quantitative Biology 2018-11-01 Li Xiao , Julia M. Stephen , Tony W. Wilson , Vince D. Calhoun , Yu-Ping Wang

Functional graphs (FGs) model the graph structures used to analyse the behaviour of functions from a discrete set to itself. In turn, such functions are used to study real complex phenomena evolving in time. As the systems involved can be…

Dynamical Systems · Mathematics 2024-04-05 François Doré , Enrico Formenti , Antonio E. Porreca , Sara Riva

Neuroimaging-based prediction methods for intelligence and cognitive abilities have seen a rapid development in literature. Among different neuroimaging modalities, prediction based on functional connectivity (FC) has shown great promise.…

Neurons and Cognition · Quantitative Biology 2023-07-20 Yang Li , Xin Ma , Raj Sunderraman , Shihao Ji , Suprateek Kundu

Predicting missing segments in partially observed functions is challenging due to infinite-dimensionality, complex dependence within and across observations, and irregular noise. These challenges are further exacerbated by the existence of…

Methodology · Statistics 2025-11-20 Fangyi Wang , Sebastian Kurtek , Yuan Zhang

Functional connectivity, as estimated using resting state fMRI, has shown potential in bridging the gap between pathophysiology and cognition. However, clinical use of functional connectivity biomarkers is impeded by unreliable estimates of…

Diagnosis of mild cognitive impairment (MCI) and subjective cognitive decline (SCD) from fMRI functional connectivity (FC) has gained popularity, but most FC-based diagnostic models are black boxes lacking casual reasoning so they…

Image and Video Processing · Electrical Eng. & Systems 2025-02-20 Xiongri Shen , Zhenxi Song , Zhiguo Zhang

Causal discovery is central to inferring causal relationships from observational data. In the presence of latent confounding, algorithms such as Fast Causal Inference (FCI) learn a Partial Ancestral Graph (PAG) representing the true model's…

Machine Learning · Computer Science 2025-05-13 Adèle H. Ribeiro , Dominik Heider

Dynamic functional connectivity (dFC) is ubiquitously observed in the brain, but why functional networks should remain dynamic even at rest is unclear. We asked whether temporal reconfiguration becomes advantageous when keeping a functional…

Biological Physics · Physics 2026-04-14 Simachew Abebe Mengiste , Demian Battaglia