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We propose a hierarchically structured variational inference model for accurately disentangling observable evidence of disease (e.g. brain lesions or atrophy) from subject-specific anatomy in brain MRIs. With flexible, partially…

计算机视觉与模式识别 · 计算机科学 2022-11-17 Anjun Hu , Jean-Pierre R. Falet , Brennan S. Nichyporuk , Changjian Shui , Douglas L. Arnold , Sotirios A. Tsaftaris , Tal Arbel

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…

应用统计 · 统计学 2015-09-15 Fan Li , Tingting Zhang , Quanli Wang , Marlen Z. Gonzalez , Erin L. Maresh , James A. Coan

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…

统计方法学 · 统计学 2023-05-29 Anna Menacher , Thomas E. Nichols , Chris Holmes , Habib Ganjgahi

The aim of this paper is to develop a class of spatial transformation models (STM) to spatially model the varying association between imaging measures in a three-dimensional (3D) volume (or 2D surface) and a set of covariates. Our STMs…

应用统计 · 统计学 2016-07-27 Michelle F. Miranda , Hongtu Zhu , Joseph G. Ibrahim

Acquiring an anatomical map from position data is important for medical applications where catheters interact with soft tissues. To improve autonomous navigation in these settings, we require information beyond nonparametric maps typically…

机器人学 · 计算机科学 2020-07-14 Michael R. Walker

We consider the problem of estimating a spatially varying density function, motivated by problems that arise in large-scale radiological survey and anomaly detection. In this context, the density functions to be estimated are the background…

统计方法学 · 统计学 2017-11-17 Wesley Tansey , Alex Athey , Alex Reinhart , James G. Scott

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…

统计方法学 · 统计学 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

In this article, we study the binary classification problem with supervised data, in the case where the covariate-to-probability-of-success map is possibly spatially inhomogeneous. We devise nonparametric Bayesian procedures with…

统计理论 · 数学 2025-09-10 Matteo Giordano

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

统计计算 · 统计学 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

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…

统计方法学 · 统计学 2024-09-26 Andrew S. Whiteman , Timothy D. Johnson , Jian Kang

Cortical surface fMRI (cs-fMRI) has recently grown in popularity versus traditional volumetric fMRI, as it allows for more meaningful spatial smoothing and is more compatible with the common assumptions of isotropy and stationarity in…

应用统计 · 统计学 2017-06-06 Amanda Mejia , Yu Ryan Yue , David Bolin , Finn Lindren , Martin A. Lindquist

We consider Bayesian inverse problems arising in data assimilation for dynamical systems governed by partial and stochastic partial differential equations. The space-time dependent field is inferred jointly with static parameters of the…

统计计算 · 统计学 2026-03-20 Baptiste Simandoux , Nikolas Kantas , Dan Crisan

A central goal of modern magnetic resonance imaging (MRI) is to reduce the time required to produce high-quality images. Efforts have included hardware and software innovations such as parallel imaging, compressed sensing, and deep…

医学物理 · 物理学 2023-03-27 Yihong Xu , Chad W. Farris , Stephan W. Anderson , Xin Zhang , Keith A. Brown

Disease maps display the spatial pattern in disease risk, so that high-risk clusters can be identified. The spatial structure in the risk map is typically represented by a set of random effects, which are modelled with a conditional…

统计方法学 · 统计学 2015-03-20 Duncan Lee

We consider the problem of segmenting a biomedical image into anatomical regions of interest. We specifically address the frequent scenario where we have no paired training data that contains images and their manual segmentations. Instead,…

计算机视觉与模式识别 · 计算机科学 2019-03-14 Adrian V. Dalca , John Guttag , Mert R. Sabuncu

In the past three decades, neuroimaging has provided important insights into structure-function relationships in the human brain. Recently, however, the methods for analyzing functional magnetic resonance imaging (fMRI) data have come under…

神经元与认知 · 定量生物学 2022-01-21 Philipp Kellmeyer , Roland Berkemeier , Tonio Ball

We propose a Bayesian framework of Gaussian process in order to extend Fisher's discriminant to classify functional data such as spectra and images. The probability structure for our extended Fisher's discriminant is explicitly formulated,…

机器学习 · 计算机科学 2014-12-10 Yao-Hsiang Yang , Lu-Hung Chen , Chieh-Chih Wang , Chu-Song Chen

Disease mapping attempts to explain observed health event counts across areal units, typically using Markov random field models. These models rely on spatial priors to account for variation in raw relative risk or rate estimates. Spatial…

统计方法学 · 统计学 2025-10-03 Garazi Retegui , Alan E. Gelfand , Jaione Etxeberria , María Dolores Ugarte

The goal of dynamic magnetic resonance imaging (dynamic MRI) is to visualize tissue properties and their local changes over time that are traceable in the MR signal. We propose a new variational approach for the reconstruction of subsampled…

The random matrix model is popular in extended object tracking, due to its relative simplicity and versatility. In this model, the extended object state consists of a kinematic vector for the position and motion parameters (velocity, etc),…

信号处理 · 电气工程与系统科学 2019-07-24 Karl Granström , Jakob Bramstång