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We introduce a principled way of computing the Wasserstein distance between two distributions in a federated manner. Namely, we show how to estimate the Wasserstein distance between two samples stored and kept on different devices/clients…

Machine Learning · Computer Science 2023-10-04 Alain Rakotomamonjy , Kimia Nadjahi , Liva Ralaivola

Texture synthesis is a fundamental problem in computer graphics that would benefit various applications. Existing methods are effective in handling 2D image textures. In contrast, many real-world textures contain meso-structure in the 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Yi-Hua Huang , Yan-Pei Cao , Yu-Kun Lai , Ying Shan , Lin Gao

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

Stochastic texture filtering (STF) has re-emerged as a technique that can bring down the cost of texture filtering of advanced texture compression methods, e.g., neural texture compression. However, during texture magnification, the swapped…

Graphics · Computer Science 2025-04-09 Bartlomiej Wronski , Matt Pharr , Tomas Akenine-Möller

We propose a novel end-to-end non-minimax algorithm for training optimal transport mappings for the quadratic cost (Wasserstein-2 distance). The algorithm uses input convex neural networks and a cycle-consistency regularization to…

Machine Learning · Computer Science 2020-12-11 Alexander Korotin , Vage Egiazarian , Arip Asadulaev , Alexander Safin , Evgeny Burnaev

An essential aspect of texture analysis is the extraction of features that describe the distribution of values in local, spatial regions. We present a localized histogram layer for artificial neural networks. Instead of computing global…

Machine Learning · Computer Science 2021-12-30 Joshua Peeples , Weihuang Xu , Alina Zare

Despite the initial belief that Convolutional Neural Networks (CNNs) are driven by shapes to perform visual recognition tasks, recent evidence suggests that texture bias in CNNs provides higher performing models when learning on large…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Reza Azad , Abdur R Fayjie , Claude Kauffman , Ismail Ben Ayed , Marco Pedersoli , Jose Dolz

Mesh deformation plays a pivotal role in many 3D vision tasks including dynamic simulations, rendering, and reconstruction. However, defining an efficient discrepancy between predicted and target meshes remains an open problem. A prevalent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Tung Le , Khai Nguyen , Shanlin Sun , Kun Han , Nhat Ho , Xiaohui Xie

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

Machine Learning · Computer Science 2017-05-09 Zhimin Chen , Yuguang Tong

Profiling cellular phenotypes from microscopic imaging can provide meaningful biological information resulting from various factors affecting the cells. One motivating application is drug development: morphological cell features can be…

Machine Learning · Statistics 2019-06-19 Gil Tabak , Minjie Fan , Samuel J. Yang , Stephan Hoyer , Geoff Davis

State-of-the-art RGB texture synthesis algorithms rely on style distances that are computed through statistics of deep features. These deep features are extracted by classification neural networks that have been trained on large datasets of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Sélim Ollivier , Yann Gousseau , Sidonie Lefebvre

Texture synthesis is a fundamental task in computer vision, whose goal is to generate visually realistic and structurally coherent textures for a wide range of applications, from graphics to scientific simulations. While traditional methods…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Elahe Salari , Zohreh Azimifar

We propose a new algorithm that uses an auxiliary neural network to express the potential of the optimal transport map between two data distributions. In the sequel, we use the aforementioned map to train generative networks. Unlike WGANs,…

Machine Learning · Computer Science 2020-04-21 Vaios Laschos , Jan Tinapp , Klaus Obermayer

We provide a numerical analysis and computation of neural network projected schemes for approximating one dimensional Wasserstein gradient flows. We approximate the Lagrangian mapping functions of gradient flows by the class of two-layer…

Numerical Analysis · Mathematics 2024-02-27 Xinzhe Zuo , Jiaxi Zhao , Shu Liu , Stanley Osher , Wuchen Li

In distributed training of deep neural networks, people usually run Stochastic Gradient Descent (SGD) or its variants on each machine and communicate with other machines periodically. However, SGD might converge slowly in training some deep…

Machine Learning · Computer Science 2022-10-14 Mingrui Liu , Zhenxun Zhuang , Yunwei Lei , Chunyang Liao

In this work, we introduce TexStat, a novel loss function specifically designed for the analysis and synthesis of texture sounds characterized by stochastic structure and perceptual stationarity. Drawing inspiration from the statistical and…

Sound · Computer Science 2025-06-05 Esteban Gutiérrez , Frederic Font , Xavier Serra , Lonce Wyse

We propose a new unsupervised anomaly detection method based on the sliced-Wasserstein distance for training data selection in machine learning approaches. Our filtering technique is interesting for decision-making pipelines deploying…

Machine Learning · Computer Science 2025-04-18 Julien Pallage , Antoine Lesage-Landry

While it is nearly effortless for humans to quickly assess the perceptual similarity between two images, the underlying processes are thought to be quite complex. Despite this, the most widely used perceptual metrics today, such as PSNR and…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Richard Zhang , Phillip Isola , Alexei A. Efros , Eli Shechtman , Oliver Wang

Inspired by recent advancements in large language models (LLMs) for Natural Language Processing (NLP), there has been a surge in research focused on developing foundational models for time series forecasting. One approach involves training…

Machine Learning · Computer Science 2024-11-19 Andrei Chernov

Existing methods to summarize posterior inference for mixture models focus on identifying a point estimate of the implied random partition for clustering, with density estimation as a secondary goal (Wade and Ghahramani, 2018; Dahl et al.,…

Methodology · Statistics 2025-05-09 Khai Nguyen , Peter Mueller