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We consider Bayesian inference for stochastic differential equation mixed effects models (SDEMEMs) exemplifying tumor response to treatment and regrowth in mice. We produce an extensive study on how a SDEMEM can be fitted using both exact…

Applications · Statistics 2019-03-28 Umberto Picchini , Julie Lyng Forman

We hypothesize that anatomical priors can be viable mediums to infuse domain-specific clinical knowledge into state-of-the-art convolutional neural networks (CNN) based on the U-Net architecture. We introduce a probabilistic population…

Image and Video Processing · Electrical Eng. & Systems 2021-09-22 Anindo Saha , Matin Hosseinzadeh , Henkjan Huisman

We present a Bayesian data fusion method to approximate a posterior distribution from an ensemble of particle estimates that only have access to subsets of the data. Our approach relies on approximate probabilistic inference of model…

Computation · Statistics 2020-10-28 Caleb Miller , Michael D. Schneider , Jem N. Corcoran , Jason Bernstein

Disease models are used to examine the likely impact of therapies, interventions and public policy changes. Ensuring that these are well calibrated on the basis of available data and that the uncertainty in their projections is properly…

Computation · Statistics 2025-01-24 Daria Semochkina , Cathal Walsh

Accurate identification and localization of anatomical structures of varying size and appearance in laparoscopic imaging are necessary to leverage the potential of computer vision techniques for surgical decision support. Segmentation…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Fiona R. Kolbinger , Jiangpeng He , Jinge Ma , Fengqing Zhu

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

Machine Learning · Statistics 2025-11-18 Debashis Chatterjee

Radiological imaging of prostate is becoming more popular among researchers and clinicians in searching for diseases, primarily cancer. Scans might be acquired at different times, with patient movement between scans, or with different…

Computer Vision and Pattern Recognition · Computer Science 2013-11-05 Xin Zhao , Arie Kaufman

This paper aims to create a deep learning framework that can estimate the deformation vector field (DVF) for directly registering abdominal MRI-CT images. The proposed method assumed a diffeomorphic deformation. By using topology-preserved…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Yang Lei , Luke A. Matkovic , Justin Roper , Tonghe Wang , Jun Zhou , Beth Ghavidel , Mark McDonald , Pretesh Patel , Xiaofeng Yang

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

Methodology · Statistics 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

Purpose: To develop a deep learning-based Bayesian inference for MRI reconstruction. Methods: We modeled the MRI reconstruction problem with Bayes's theorem, following the recently proposed PixelCNN++ method. The image reconstruction from…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 GuanXiong Luo , Na Zhao , Wenhao Jiang , Edward S. Hui , Peng Cao

We present a Bayesian algorithm to combine optical imaging of unresolved objects from distinct epochs and observation platforms for orbit determination and tracking. By propagating the non-Gaussian uncertainties we are able to optimally…

Instrumentation and Methods for Astrophysics · Physics 2016-09-26 Michael D. Schneider , William A. Dawson

The concept of personalised medicine in cancer therapy is becoming increasingly important. There already exist drugs administered specifically for patients with tumours presenting well-defined mutations. However, the field is still in its…

Biomolecules · Quantitative Biology 2024-08-26 Abbi Abdel-Rehim , Oghenejokpeme Orhobor , Gareth Griffiths , Larisa Soldatova , Ross D. King

Semiconductor device models are essential to understand the charge transport in thin film transistors (TFTs). Using these TFT models to draw inference involves estimating parameters used to fit to the experimental data. These experimental…

Machine Learning · Computer Science 2021-11-29 Neel Chatterjee , Somya Sharma , Sarah Swisher , Snigdhansu Chatterjee

We consider nonparametric measurement error density deconvolution subject to heteroscedastic measurement errors as well as symmetry about zero and shape constraints, in particular unimodality. The problem is motivated by applications where…

Methodology · Statistics 2020-02-19 Ya Su , Anirban Bhattacharya , Yan Zhang , Nilanjan Chatterjee , Raymond J. Carroll

This paper addresses patient heterogeneity associated with prediction problems in biomedical applications. We propose a systematic hypothesis testing approach to determine the existence of patient subgroup structure and the number of…

Methodology · Statistics 2021-01-08 Xu Gao , Weining Shen , Jing Ning , Ziding Feng , Jianhua Hu

Diffusion MRI (dMRI) is a valuable tool in the assessment of tissue microstructure. By fitting a model to the dMRI signal it is possible to derive various quantitative features. Several of the most popular dMRI signal models are expansions…

We develop a Bayesian bivariate spatial model for multivariate regression analysis applicable to studies examining the influence of genetic variation on brain structure. Our model is motivated by an imaging genetics study of the Alzheimer's…

Methodology · Statistics 2020-05-26 Yin Song , Shufei Ge , Jiguo Cao , Liangliang Wang , Farouk S. Nathoo

Organ morphology is a key indicator for prostate disease diagnosis and prognosis. For instance, In longitudinal study of prostate cancer patients under active surveillance, the volume, boundary smoothness and their changes are closely…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Qianye Yang , Tom Vercauteren , Yunguan Fu , Francesco Giganti , Nooshin Ghavami , Vasilis Stavrinides , Caroline Moore , Matt Clarkson , Dean Barratt , Yipeng Hu

Uncertainties in the high-dimensional space of material parameters pose challenges for the predictive modeling of bcc single crystals, especially under extreme loading conditions. In this work, we identify the key physical assumptions and…

Materials Science · Physics 2026-04-02 Seunghyeon Lee , Thao Nguyen , Darby J. Luscher , Saryu J. Fensin , John S. Carpenter , Hansohl Cho

Anatomically guided PET reconstruction using MRI information has been shown to have the potential to improve PET image quality. However, these improvements are limited to PET scans with paired MRI information. In this work we employed a…

Image and Video Processing · Electrical Eng. & Systems 2024-03-28 Weijie Gan , Huidong Xie , Carl von Gall , Günther Platsch , Michael T. Jurkiewicz , Andrea Andrade , Udunna C. Anazodo , Ulugbek S. Kamilov , Hongyu An , Jorge Cabello