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This paper studies the optimization of the KL functional on the Wasserstein space of probability measures, and develops a sampling framework based on Wasserstein gradient descent (WGD). We identify two important subclasses of the…

Computation · Statistics 2026-02-04 Van Chien Ta , Thi Mai Hong Chu , Minh-Ngoc Tran

We present a fast feature-metric point cloud registration framework, which enforces the optimisation of registration by minimising a feature-metric projection error without correspondences. The advantage of the feature-metric projection…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Xiaoshui Huang , Guofeng Mei , Jian Zhang

Modeling the evolution of high-dimensional systems from limited snapshot observations at irregular time points poses a significant challenge in quantitative biology and related fields. Traditional approaches often rely on dimensionality…

Machine Learning · Computer Science 2025-08-07 Justin Lee , Behnaz Moradijamei , Heman Shakeri

Atomistic foundation models constitute a paradigm shift in computational materials science by providing universal machine-learned interatomic potentials with broad transferability across chemical spaces. Although fine-tuning is essential…

Computational Physics · Physics 2025-12-08 Xiaoqing Liu , Yangshuai Wang , Teng Zhao

Existing optimization-based methods for non-rigid registration typically minimize an alignment error metric based on the point-to-point or point-to-plane distance between corresponding point pairs on the source surface and target surface.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Yuxin Yao , Bailin Deng , Junhui Hou , Juyong Zhang

Nonlinear registration of 2D histological sections with corresponding slices of MRI data is a critical step of 3D histology reconstruction. This task is difficult due to the large differences in image contrast and resolution, as well as the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Juan Eugenio Iglesias , Marc Modat , Loic Peter , Allison Stevens , Roberto Annunziata , Tom Vercauteren , Ed Lein , Bruce Fischl , Sebastien Ourselin

Recent advances in artificial intelligence (AI), in particular self-supervised learning of foundation models (FMs), are revolutionizing medical imaging and computational pathology (CPath). A constant challenge in the analysis of digital…

In this work, we connect two distinct concepts for unsupervised domain adaptation: feature distribution alignment between domains by utilizing the task-specific decision boundary and the Wasserstein metric. Our proposed sliced Wasserstein…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Chen-Yu Lee , Tanmay Batra , Mohammad Haris Baig , Daniel Ulbricht

Joint analysis of multiple biomarker images and tissue morphology is important for disease diagnosis, treatment planning and drug development. It requires cross-staining comparison among Whole Slide Images (WSIs) of immuno-histochemical and…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Abubakr Shafique , Morteza Babaie , Mahjabin Sajadi , Adrian Batten , Soma Skdar , H. R. Tizhoosh

The Wasserstein metric or earth mover's distance (EMD) is a useful tool in statistics, machine learning and computer science with many applications to biological or medical imaging, among others. Especially in the light of increasingly…

Optimization and Control · Mathematics 2018-01-26 Jörn Schrieber , Dominic Schuhmacher , Carsten Gottschlich

We propose a Dual-Stream Pyramid Registration Network (referred as Dual-PRNet) for unsupervised 3D medical image registration. Unlike recent CNN-based registration approaches, such as VoxelMorph, which explores a single-stream…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Miao Kang , Xiaojun Hu , Weilin Huang , Matthew R. Scott , Mauricio Reyes

The widespread use of AI-generated content from diffusion models has raised significant concerns regarding misinformation and copyright infringement. Watermarking is a crucial technique for identifying these AI-generated images and…

Machine Learning · Computer Science 2026-02-13 Wenda Li , Huijie Zhang , Qing Qu

A novel method to improve the accuracy of pressure field estimation from time-resolved Particle Image Velocimetry data is proposed. This method generates several new time-series of velocity field by propagating in time the original one…

Fluid Dynamics · Physics 2025-01-14 Junwei Chen , Marco Raiola , Stefano Discetti

Multimodal image registration is a very challenging problem for deep learning approaches. Most current work focuses on either supervised learning that requires labelled training scans and may yield models that bias towards annotated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Mattias P Heinrich , Lasse Hansen

Fitting an unknown number of hyperplanes to data is a fundamental yet challenging problem in machine learning, characterized by its non-convexity, non-differentiability, and unknown model order. Existing approaches often struggle with local…

Machine Learning · Computer Science 2026-05-28 Zhiqin Cheng , Yu Zhan , Mingjin Zhang , Lingbo Liu , Liang Lin

Suppose we are given two metric spaces and a family of continuous transformations from one to the other. Given a probability distribution on each of these two spaces - namely the source and the target measures - the Wasserstein alignment…

Probability · Mathematics 2025-03-11 Soumik Pal , Bodhisattva Sen , Ting-Kam Leonard Wong

Nonlinear image registration continues to be a fundamentally important tool in medical image analysis. Diagnostic tasks, image-guided surgery and radiotherapy as well as motion analysis all rely heavily on accurate intra-patient alignment.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Mattias P. Heinrich

The insufficient generalization of adaptive moment estimation (Adam) has hindered its broader application. Recent studies have shown that flat minima in loss landscapes are highly associated with improved generalization. Inspired by the…

Machine Learning · Computer Science 2024-12-18 Long Jin , Han Nong , Liangming Chen , Zhenming Su

3D Gaussian Splatting (3DGS) has recently advanced radiance field reconstruction by offering superior capabilities for novel view synthesis and real-time rendering speed. However, its strategy of blending optimization and adaptive density…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Rong Liu , Rui Xu , Yue Hu , Meida Chen , Andrew Feng

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a…

Soft Condensed Matter · Physics 2019-10-16 Jack Panter , Yonas Gizaw , Halim Kusumaatmaja