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Related papers: Scalable Bayesian Image-on-Scalar Regression for P…

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In addressing the challenge of analysing the large-scale Adolescent Brain Cognition Development (ABCD) fMRI dataset, involving over 5,000 subjects and extensive neuroimaging data, we propose a scalable Bayesian scalar-on-image regression…

Methodology · Statistics 2024-03-21 Anna Menacher , Thomas E. Nichols , Timothy D. Johnson , Jian Kang

Multi-subject functional magnetic resonance imaging (fMRI) data has been increasingly used to study the population-wide relationship between human brain activity and individual biological or behavioral traits. A common method is to regress…

Applications · Statistics 2015-09-15 Fan Li , Tingting Zhang , Quanli Wang , Marlen Z. Gonzalez , Erin L. Maresh , James A. Coan

In this article, we propose a novel spatial global-local spike-and-slab selection prior for image-on-scalar regression. We consider a Bayesian hierarchical Gaussian process model for image smoothing, that uses a flexible Inverse-Wishart…

Methodology · Statistics 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

Methodology · Statistics 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Image-on-scalar regression has been a popular approach to modeling the association between brain activities and scalar characteristics in neuroimaging research. The associations could be heterogeneous across individuals in the population,…

Methodology · Statistics 2023-07-04 Zikai Lin , Yajuan Si , Jian Kang

Neuroradiologists and neurosurgeons increasingly opt to use functional magnetic resonance imaging (fMRI) to map functionally relevant brain regions for noninvasive presurgical planning and intraoperative neuronavigation. This application…

Methodology · Statistics 2023-06-07 Andrew S. Whiteman , Andreas J. Bartsch , Jian Kang , Timothy D. Johnson

Scalar-on-image regression aims to investigate changes in a scalar response of interest based on high-dimensional imaging data. We propose a novel Bayesian nonparametric scalar-on-image regression model that utilises the spatial coordinates…

Methodology · Statistics 2022-06-23 Mica Teo Shu Xian , Sara Wade

In neuroimaging studies, it becomes increasingly important to study associations between different imaging modalities using image-on-image regression (IIR), which faces challenges in interpretation, statistical inference, and prediction.…

Applications · Statistics 2026-03-24 Guoxuan Ma , Bangyao Zhao , Hasan Abu-Amara , Jian Kang

Detecting shared neural activity from functional magnetic resonance imaging (fMRI) across individuals exposed to the same stimulus can reveal synchronous brain responses, functional roles of regions, and potential clinical biomarkers.…

Applications · Statistics 2026-04-24 Spencer Wadsworth , Nabin Koirala , Nicole Landi , Ofer Harel

The focus of this work is on spatial variable selection for scalar-on-image regression. We propose a new class of Bayesian nonparametric models, soft-thresholded Gaussian processes and develop the efficient posterior computation algorithms.…

Methodology · Statistics 2016-04-13 Jian Kang , Brian J. Reich , Ana-Maria Staicu

Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

Methodology · Statistics 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

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

Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Shangqi Gao , Xiahai Zhuang

Task functional magnetic resonance imaging (fMRI) is a type of neuroimaging data used to identify areas of the brain that activate during specific tasks or stimuli. These data are conventionally modeled using a massive univariate approach…

Methodology · Statistics 2022-11-04 Daniel A. Spencer , David Bolin , Amanda F. Mejia

Applications of high-dimensional regression often involve multiple sources or types of covariates. We propose methodology for this setting, emphasizing the "wide data" regime with large total dimensionality p and sample size n<<p. We focus…

In regression-based analyses of group-level neuroimage data researchers typically fit a series of marginal general linear models to image outcomes at each spatially-referenced pixel. Spatial regularization of effects of interest is usually…

Methodology · Statistics 2024-09-26 Andrew S. Whiteman , Timothy D. Johnson , Jian Kang

Many problems of low-level computer vision and image processing, such as denoising, deconvolution, tomographic reconstruction or super-resolution, can be addressed by maximizing the posterior distribution of a sparse linear model (SLM). We…

Machine Learning · Statistics 2010-08-16 Matthias W. Seeger , Hannes Nickisch

The analysis of spatial data from biological imaging technology, such as imaging mass spectrometry (IMS) or imaging mass cytometry (IMC), is challenging because of a competitive sampling process which convolves signals from molecules in a…

Machine Learning · Statistics 2025-09-26 Joaquim Valerio Teixeira , Ed Reznik , Sudpito Banerjee , Wesley Tansey

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

Motivated by recent data analyses in biomedical imaging studies, we consider a class of image-on-scalar regression models for imaging responses and scalar predictors. We propose using flexible multivariate splines over triangulations to…

Methodology · Statistics 2021-06-04 Shan Yu , Guannan Wang , Li Wang , Lijian Yang
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