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High resolution geospatial data are challenging because standard geostatistical models based on Gaussian processes are known to not scale to large data sizes. While progress has been made towards methods that can be computed more…

Methodology · Statistics 2020-12-03 Michele Peruzzi , David B. Dunson

Understanding sub-cellular protein localisation is an essential component to analyse context specific protein function. Recent advances in quantitative mass-spectrometry (MS) have led to high resolution mapping of thousands of proteins to…

Applications · Statistics 2019-03-12 Oliver M. Crook , Kathryn S. Lilley , Laurent Gatto , Paul D. W. Kirk

Particle-based shape modeling (PSM) is a popular approach to automatically quantify shape variability in populations of anatomies. The PSM family of methods employs optimization to automatically populate a dense set of corresponding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Hong Xu , Shireen Y. Elhabian

We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in the presence of potentially high-dimensional categorical covariates. Building on a novel hidden Markov tensor decomposition technique, our proposed…

Methodology · Statistics 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

Reconstructing and understanding 3D structures from a limited number of images is a well-established problem in computer vision. Traditional methods usually break this task into multiple subtasks, each requiring complex transformations…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Zhiwen Fan , Jian Zhang , Wenyan Cong , Peihao Wang , Renjie Li , Kairun Wen , Shijie Zhou , Achuta Kadambi , Zhangyang Wang , Danfei Xu , Boris Ivanovic , Marco Pavone , Yue Wang

Spatially resolved transcriptomics (ST) measures gene expression along with the spatial coordinates of the measurements. The analysis of ST data involves significant computation complexity. In this work, we propose gene expression…

Genomics · Quantitative Biology 2022-05-24 Zhuoyan Xu , Kris Sankaran

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

Spatial transcriptomics (ST) enables transcriptome-wide profiling while preserving the spatial context of tissues, offering unprecedented opportunities to study tissue organization and cell-cell interactions in situ. Despite recent…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Wei Wang , Quoc-Toan Ly , Chong Yu , Jun Bai

Objective: Organ deformation models have the potential to improve delivery and reduce toxicity of radiotherapy, but existing data-driven motion models are based on either patient-specific or population data. We propose to combine population…

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

Methodology · Statistics 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

We introduce a Bayesian approach for analyzing high-dimensional multinomial data that are referenced over space and time. In particular, the proportions associated with multinomial data are assumed to have a logit link to a latent…

Methodology · Statistics 2018-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Motivated by the need for computationally tractable spatial methods in neuroimaging studies, we develop a distributed and integrated framework for estimation and inference of Gaussian process model parameters with ultra-high-dimensional…

Methodology · Statistics 2024-02-09 Emily C. Hector , Brian J. Reich , Ani Eloyan

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

Methodology · Statistics 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Uncertainty is an inherent characteristic of biological and geospatial data which is almost made by measurement error in the observed values of the quantity of interest. Ignoring measurement error can lead to biased estimates and inflated…

Applications · Statistics 2018-11-16 Vahid Tadayon

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

Accurately reconstructing a global spatial field from sparse data has been a longstanding problem in several domains, such as Earth Sciences and Fluid Dynamics. Historically, scientists have approached this problem by employing complex…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Robert Sunderhaft , Logan Frank , Jim Davis

Analysis of heterogeneous patterns in complex spatio-temporal data finds usage across various domains in applied science and engineering, including training autonomous vehicles to navigate in complex traffic scenarios. Motivated by…

Machine Learning · Statistics 2021-02-16 Sunrit Chakraborty , Aritra Guha , Rayleigh Lei , XuanLong Nguyen

The article studies non-Gaussian extensions of a recently discovered link between certain Gaussian random fields, expressed as solutions to stochastic partial differential equations (SPDEs), and Gaussian Markov random fields. The focus is…

Methodology · Statistics 2012-06-15 David Bolin

As a general and robust alternative to traditional mean regression models, quantile regression avoids the assumption of normally distributed errors, making it a versatile choice when modeling outcomes such as cognitive scores that typically…

Methodology · Statistics 2026-03-19 Rongke Lyu , Marina Vannucci , Suprateek Kundu

The log-Gaussian Cox process is a flexible and popular class of point pattern models for capturing spatial and space-time dependence for point patterns. Model fitting requires approximation of stochastic integrals which is implemented…

Computation · Statistics 2018-10-24 Shinichiro Shirota , Sudipto Banerjee