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Kernel ridge regression, KRR, is a generalization of linear ridge regression that is non-linear in the data, but linear in the model parameters. Here, we introduce an equivalent formulation of the objective function of KRR, which opens up…

Machine Learning · Statistics 2025-03-10 Oskar Allerbo

Correlation matrices are widely used to analyze the interdependence of variables in various real-world scenarios. Often, a perturbation in a few variables leads to mild differences in many correlation coefficients associated with these…

Applications · Statistics 2023-03-07 Itamar Faran , Michael Peer , Shahar Arzy , Yuval Benjamini

Parallel imaging techniques reduce magnetic resonance imaging (MRI) scan time but image quality degrades as the acceleration factor increases. In clinical practice, conservative acceleration factors are chosen because no mechanism exists to…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Ilias I. Giannakopoulos , Lokesh B Gautham Muthukumar , Yvonne W. Lui , Riccardo Lattanzi

Motion-related artifacts are inevitable in Magnetic Resonance Imaging (MRI) and can bias automated neuroanatomical metrics such as cortical thickness. These biases can interfere with statistical analysis which is a major concern as motion…

Image and Video Processing · Electrical Eng. & Systems 2025-06-11 Charles Bricout , Samira Ebrahimi Kahou , Sylvain Bouix

Functional magnetic resonance imaging (fMRI) provides an indirect measurement of neuronal activity via hemodynamic responses that vary across brain regions and individuals. Ignoring this hemodynamic variability can bias downstream…

Image and Video Processing · Electrical Eng. & Systems 2026-01-26 William Consagra , Eardi Lila

The paper introduces a new kernel-based Maximum Mean Discrepancy (MMD) statistic for measuring the distance between two distributions given finitely-many multivariate samples. When the distributions are locally low-dimensional, the proposed…

Machine Learning · Statistics 2018-09-03 Xiuyuan Cheng , Alexander Cloninger , Ronald R. Coifman

Much recent attention has been paid to quantifying anatomic and functional neuroimaging on the individual subject level. For optimal individual subject characterization, specific acquisition and analysis features need to be identified that…

I propose kernel ridge regression estimators for nonparametric dose response curves and semiparametric treatment effects in the setting where an analyst has access to a selected sample rather than a random sample; only for select…

Econometrics · Economics 2022-08-24 Rahul Singh

Kernel-phase is a data analysis method based on a generalization of the notion of closure-phase invented in the context of interferometry, but that applies to well corrected diffraction dominated images produced by an arbitrary aperture.…

Instrumentation and Methods for Astrophysics · Physics 2020-04-22 Frantz Martinache , Alban Ceau , Romain Laugier , Jens Kammerer , Mamadou N'Diaye , David Mary , Nick Cvetojevic , Coline Lopez

Purpose: In many clinical MRI scenarios, existing imaging information can be used to significantly shorten acquisition time or to improve Signal to Noise Ratio (SNR). In this paper the authors present a framework for fast MRI by exploiting…

Medical Physics · Physics 2017-08-28 Lior Weizman , Yonina C. Eldar , Dafna Ben-Basaht

Traditional pairwise sequence alignment is based on matching individual samples from two sequences, under time monotonicity constraints. However, in many application settings matching subsequences (segments) instead of individual samples…

Databases · Computer Science 2016-09-28 Shahriar Shariat , Vladimir Pavlovic

Resting-state functional magnetic resonance imaging (rs-fMRI) offers a non-invasive approach to examining abnormal brain connectivity associated with brain disorders. Graph neural network (GNN) gains popularity in fMRI representation…

Quantitative Methods · Quantitative Biology 2023-08-22 Junhao Zhang , Qianqian Wang , Xiaochuan Wang , Lishan Qiao , Mingxia Liu

Surface-based analysis of the cerebral cortex is ubiquitous in human neuroimaging with MRI. It is crucial for cortical registration, parcellation, and thickness estimation. Traditionally, these analyses require high-resolution, isotropic…

Image and Video Processing · Electrical Eng. & Systems 2024-09-09 Karthik Gopinath , Douglas N. Greve , Colin Magdamo , Steve Arnold , Sudeshna Das , Oula Puonti , Juan Eugenio Iglesias

The development of noninvasive brain imaging such as resting-state functional magnetic resonance imaging (rs-fMRI) and its combination with AI algorithm provides a promising solution for the early diagnosis of Autism spectrum disorder…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Fangyu Zhang , Yanjie Wei , Jin Liu , Yanlin Wang , Wenhui Xi , Yi Pan

Kernel-based machine learning algorithms are based on mapping data from the original input feature space to a kernel feature space of higher dimensionality to solve a linear problem in that space. Over the last decade, kernel based…

Computer Vision and Pattern Recognition · Computer Science 2011-01-18 Mahesh Pal

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

Neurons and Cognition · Quantitative Biology 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Functional magnetic resonance imaging (fMRI) data provides information concerning activity in the brain and in particular the interactions between brain regions. Resting state fMRI data is widely used for inferring connectivities in the…

Applications · Statistics 2019-03-04 Christina Stoehr , John A D Aston , Claudia Kirch

We develop scalable randomized kernel methods for jointly associating data from multiple sources and simultaneously predicting an outcome or classifying a unit into one of two or more classes. The proposed methods model nonlinear…

Methodology · Statistics 2023-04-11 Sandra E. Safo , Han Lu

Alzheimer's disease (AD) is the most common form of dementia, which causes problems with memory, thinking and behavior. Growing evidence has shown that the brain connectivity network experiences alterations for such a complex disease.…

Methodology · Statistics 2020-05-29 Chen Hao , Guo Ying , He Yong , Ji Jiadong , Liu Lei , Shi Yufeng , Wang Yikai , Yu Long , Zhang Xinsheng

Magnetic resonance imaging (MRI) is crucial for enhancing diagnostic accuracy in clinical settings. However, the inherent long scan time of MRI restricts its widespread applicability. Deep learning-based image super-resolution (SR) methods…

Image and Video Processing · Electrical Eng. & Systems 2024-02-19 Hao Li , Quanwei Liu , Jianan Liu , Xiling Liu , Yanni Dong , Tao Huang , Zhihan Lv