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Due to the cross-domain distribution shift aroused from diverse medical imaging systems, many deep learning segmentation methods fail to perform well on unseen data, which limits their real-world applicability. Recent works have shown the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

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

We introduce a random partition model for Bayesian nonparametric regression. The model is based on infinitely-many disjoint regions of the range of a latent covariate-dependent Gaussian process. Given a realization of the process, the…

Methodology · Statistics 2013-01-04 George Karabatsos , Stephen G. Walker

We provide a flexible framework for selecting among a class of additive partial linear models that allows both linear and nonlinear additive components. In practice, it is challenging to determine which additive components should be…

Methodology · Statistics 2021-09-20 Seonghyun Jeong , Taeyoung Park , David A. van Dyk

The Binary Space Partitioning~(BSP)-Tree process is proposed to produce flexible 2-D partition structures which are originally used as a Bayesian nonparametric prior for relational modelling. It can hardly be applied to other learning tasks…

Machine Learning · Statistics 2019-03-25 Xuhui Fan , Bin Li , Scott Anthony Sisson

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

Methodology · Statistics 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

In this paper, we deal with the problem of curves clustering. We propose a nonparametric method which partitions the curves into clusters and discretizes the dimensions of the curve points into intervals. The cross-product of these…

Machine Learning · Statistics 2014-07-03 Marc Boullé , Romain Guigourès , Fabrice Rossi

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

This paper presents a novel method for unsupervised segmentation of pathology images. Staging of lung cancer is a major factor of prognosis. Measuring the maximum dimensions of the invasive component in a pathology images is an essential…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Takayasu Moriya , Holger R. Roth , Shota Nakamura , Hirohisa Oda , Kai Nagara , Masahiro Oda , Kensaku Mori

We introduce a novel edge tracing algorithm using Gaussian process regression. Our edge-based segmentation algorithm models an edge of interest using Gaussian process regression and iteratively searches the image for edge pixels in a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Jamie Burke , Stuart King

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

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson

Shape information is a strong and valuable prior in segmenting organs in medical images. However, most current deep learning based segmentation algorithms have not taken shape information into consideration, which can lead to bias towards…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Yuan Yao , Fengze Liu , Zongwei Zhou , Yan Wang , Wei Shen , Alan Yuille , Yongyi Lu

It is increasingly understood that the assumption of stationarity is unrealistic for many spatial processes. In this article, we combine dimension expansion with a spectral method to model big non-stationary spatial fields in a…

Methodology · Statistics 2020-01-20 Hou-Cheng Yang , Jonathan R. Bradley

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

The smoothing spline is one of the most popular curve-fitting methods, partly because of empirical evidence supporting its effectiveness and partly because of its elegant mathematical formulation. However, there are two obstacles that…

Statistics Theory · Mathematics 2012-09-11 Yu Ryan Yue , Daniel Simpson , Finn Lindgren , Håvard Rue

Due to the current lack of large-scale datasets at the million-scale level, tasks involving panoramic images predominantly rely on existing two-dimensional pre-trained image benchmark models as backbone networks. However, these networks are…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Jingguo Liu , Han Yu , Shigang Li , Jianfeng Li