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Optimal transport is a notoriously difficult problem to solve numerically, with current approaches often remaining intractable for very large scale applications such as those encountered in machine learning. Wasserstein barycenters -- the…

Machine Learning · Computer Science 2021-02-25 Julien Lacombe , Julie Digne , Nicolas Courty , Nicolas Bonneel

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Particle-based variational inference offers a flexible way of approximating complex posterior distributions with a set of particles. In this paper we introduce a new particle-based variational inference method based on the theory of…

Machine Learning · Statistics 2019-05-16 Luca Ambrogioni , Umut Guclu , Marcel van Gerven

Recently, Convolutional Neural Networks (CNNs) have been widely used to solve the illuminant estimation problem and have often led to state-of-the-art results. Standard approaches operate directly on the input image. In this paper, we argue…

Image and Video Processing · Electrical Eng. & Systems 2021-11-11 Firas Laakom , Jenni Raitoharju , Jarno Nikkanen , Alexandros Iosifidis , Moncef Gabbouj

Modern robotic perception is highly dependent on neural networks. It is well known that neural network-based perception can be unreliable in real-world deployment, especially in difficult imaging conditions. Out-of-distribution detection is…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Simon Kristoffersson Lind , Rudolph Triebel , Volker Krüger

We consider the challenging problem of outdoor lighting estimation for the goal of photorealistic virtual object insertion into photographs. Existing works on outdoor lighting estimation typically simplify the scene lighting into an…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Zian Wang , Wenzheng Chen , David Acuna , Jan Kautz , Sanja Fidler

Computer vision is used in this work to detect lighting elements in buildings with the goal of improving the accuracy of previous methods to provide a precise inventory of the location and state of lamps. Using the framework developed in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Francisco Troncoso-Pastoriza , Pablo Eguía-Oller , Rebeca P. Díaz-Redondo , Enrique Granada-Álvarez , Aitor Erkoreka

Advances in high dynamic range (HDR) lighting estimation from a single image have opened new possibilities for augmented reality (AR) applications. Predicting complex lighting environments from a single input image allows for the realistic…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Zitian Zhang , Joshua Urban Davis , Jeanne Phuong Anh Vu , Jiangtao Kuang , Jean-François Lalonde

This paper considers the problem of regression over distributions, which is becoming increasingly important in machine learning. Existing approaches often ignore the geometry of the probability space or are computationally expensive. To…

Machine Learning · Computer Science 2025-10-31 Maksim Maslov , Alexander Kugaevskikh , Matthew Ivanov

Many machine learning problems can be seen as approximating a \textit{target} distribution using a \textit{particle} distribution by minimizing their statistical discrepancy. Wasserstein Gradient Flow can move particles along a path that…

Machine Learning · Statistics 2024-06-07 Song Liu , Jiahao Yu , Jack Simons , Mingxuan Yi , Mark Beaumont

Illuminant estimation aims to infer scene illumination from image measurements despite intrinsic ambiguities between surface reflectance and lighting. Most existing methods operate on trichromatic RGB images and are therefore fundamentally…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 G. Dofri Vidarsson , Liying Lu , Sabine Süsstrunk

In this paper, we establish sharp upper and lower bounds on the convergence rate of the empirical measures of point processes under the Wasserstein distance. To this end, we first introduce a new metric on the space of counting measures…

Statistics Theory · Mathematics 2026-04-28 Dongzhou Huang , Tianyi Jiang , Haonan Wang

Self-supervised learning is one of the most promising approaches to acquiring knowledge from limited labeled data. Despite the substantial advancements made in recent years, self-supervised models have posed a challenge to practitioners, as…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Franciskus Xaverius Erick , Mina Rezaei , Johanna Paula Müller , Bernhard Kainz

Recent advances in implicit neural representations and differentiable rendering make it possible to simultaneously recover the geometry and materials of an object from multi-view RGB images captured under unknown static illumination.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Yuanqing Zhang , Jiaming Sun , Xingyi He , Huan Fu , Rongfei Jia , Xiaowei Zhou

In this paper, we study statistical inference for the Wasserstein distance, which has attracted much attention and has been applied to various machine learning tasks. Several studies have been proposed in the literature, but almost all of…

Machine Learning · Statistics 2022-01-21 Vo Nguyen Le Duy , Ichiro Takeuchi

Statistical models often include thousands of parameters. However, large models decrease the investigator's ability to interpret and communicate the estimated parameters. Reducing the dimensionality of the parameter space in the estimation…

Methodology · Statistics 2022-05-16 Eric Dunipace , Lorenzo Trippa

Accurate lighting estimation is a significant yet challenging task in computer vision and graphics. However, existing methods either struggle to restore detailed textures of illumination map, or face challenges in running speed and texture…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Kunliang Xie

We propose a method for estimating high-definition spatially-varying lighting, reflectance, and geometry of a scene from 360$^{\circ}$ stereo images. Our model takes advantage of the 360$^{\circ}$ input to observe the entire scene with…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Junxuan Li , Hongdong Li , Yasuyuki Matsushita

Optimal transport distances, otherwise known as Wasserstein distances, have recently drawn ample attention in computer vision and machine learning as a powerful discrepancy measure for probability distributions. The recent developments on…

Machine Learning · Computer Science 2015-11-11 Soheil Kolouri , Yang Zou , Gustavo K. Rohde

We address the challenge of sequential data-driven decision-making under context distributional uncertainty. This problem arises in numerous real-world scenarios where the learner optimizes black-box objective functions in the presence of…

Machine Learning · Computer Science 2025-03-27 Francesco Micheli , Efe C. Balta , Anastasios Tsiamis , John Lygeros