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White matter hyperintensities (WMH) are bright regions on T2-weighted magnetic resonance imaging (MRI) scans and are associated with cerebrovascular pathology and neurodegeneration, including myelin loss. While Luxol Fast Blue…

Segmentation of nuclei regions from histological images is an important task for automated computer-aided analysis of histological images, particularly in the presence of impermissible color variation in the color appearance of stained…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Suman Mahapatra , Pradipta Maji

Generalization is one of the main challenges of computational pathology. Slide preparation heterogeneity and the diversity of scanners lead to poor model performance when used on data from medical centers not seen during training. In order…

Image and Video Processing · Electrical Eng. & Systems 2024-01-09 Nicolas Nerrienet , Rémy Peyret , Marie Sockeel , Stéphane Sockeel

In practice, digital pathology images are often affected by various factors, resulting in very large differences in color and brightness. Stain normalization can effectively reduce the differences in color and brightness of digital…

Image and Video Processing · Electrical Eng. & Systems 2024-07-17 Hongtao Kang , Die Luo , Li Chen , Junbo Hu , Tingwei Quan , Shaoqun Zeng , Shenghua Cheng , Xiuli Liu

The automated analysis of medical images is currently limited by technical and biological noise and bias. The same source tissue can be represented by vastly different images if the image acquisition or processing protocols vary. For an…

Wasserstein barycenters and variance-like criteria based on the Wasserstein distance are used in many problems to analyze the homogeneity of collections of distributions and structural relationships between the observations. We propose the…

Statistics Theory · Mathematics 2018-10-31 Eustasio Del Barrio , Paula Gordaliza , Hélène Lescornel , Jean-Michel Loubes

Histochemical staining is essential for visualizing tissue architecture and cellular morphology but is destructive and limited by the availability of tissue for multiple stains. Virtual staining with label-free microscopy offers a…

Wasserstein barycenter, built on the theory of optimal transport, provides a powerful framework to aggregate probability distributions, and it has increasingly attracted great attention within the machine learning community. However, it…

Machine Learning · Computer Science 2022-12-20 Jinjin Chi , Zhiyao Yang , Jihong Ouyang , Ximing Li

The count of mitotic figures (MFs) observed in hematoxylin and eosin (H&E)-stained slides is an important prognostic marker as it is a measure for tumor cell proliferation. However, the identification of MFs has a known low inter-rater…

Significance: Histopathological analysis of tissues is an essential tool for grading, staging, diagnosing and resecting cancers and other malignancies. Current histopathological techniques require substantial sample processing prior to…

Medical Physics · Physics 2021-07-14 Benjamin Ecclestone , Deepak Dinakaran , Parsin Haji Reza

Nuclei instance segmentation in hematoxylin and eosin (H&E)-stained images plays an important role in automated histological image analysis, with various applications in downstream tasks. While several machine learning and deep learning…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Nima Torbati , Anastasia Meshcheryakova , Ramona Woitek , Sepideh Hatamikia , Diana Mechtcheriakova , Amirreza Mahbod

We present a framework to simultaneously align and smooth data in the form of multiple point clouds sampled from unknown densities with support in a d-dimensional Euclidean space. This work is motivated by applications in bioinformatics…

Methodology · Statistics 2019-08-28 Jérémie Bigot , Elsa Cazelles , Nicolas Papadakis

This paper studies the statistical estimation of exact Wasserstein barycenters. Existing non-asymptotic results for empirical barycenters exhibit a severe curse of dimensionality. Motivated by the semi-dual formulation of the barycenter…

Statistics Theory · Mathematics 2026-05-06 Pengtao Li , Changbo Zhu , Xiaohui Chen

Computing the Wasserstein barycenter of a set of probability measures under the optimal transport metric can quickly become prohibitive for traditional second-order algorithms, such as interior-point methods, as the support size of the…

Optimization and Control · Mathematics 2020-01-22 Dongdong Ge , Haoyue Wang , Zikai Xiong , Yinyu Ye

Hyperspectral imaging is gaining attention in the field of disease diagnosis due to its ability to enhance tissue contrast, surpassing the capabilities of conventional brightfield imaging techniques. Typically, histological sections lack…

Wasserstein barycenters provide a geometrically meaningful way to aggregate probability distributions, built on the theory of optimal transport. They are difficult to compute in practice, however, leading previous work to restrict their…

Machine Learning · Computer Science 2020-10-27 Lingxiao Li , Aude Genevay , Mikhail Yurochkin , Justin Solomon

The Wasserstein barycenter extends the Euclidean mean to the space of probability measures by minimizing the weighted sum of squared 2-Wasserstein distances. We develop a free-support algorithm for computing Wasserstein barycenters that…

Machine Learning · Statistics 2025-09-17 Kisung You

Breast cancer is one of the most common causes of cancer-related death in women worldwide. Early and accurate diagnosis of breast cancer may significantly increase the survival rate of patients. In this study, we aim to develop a fully…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Sara Hosseinzadeh Kassani , Peyman Hosseinzadeh Kassani , Michal J. Wesolowski , Kevin A. Schneider , Ralph Deters

We present a novel variational approach to image restoration (e.g., denoising, inpainting, labeling) that enables to complement established variational approaches with a histogram-based prior enforcing closeness of the solution to some…

Optimization and Control · Mathematics 2013-07-18 Paul Swoboda , Christoph Schnörr

Chemical staining methods are dependable but require extensive time, expensive chemicals, and raise environmental concerns. These challenges highlight the need for alternative solutions like virtual staining, which accelerates the…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Mehdi Ounissi , Ilias Sarbout , Jean-Pierre Hugot , Christine Martinez-Vinson , Dominique Berrebi , Daniel Racoceanu
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