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Wasserstein barycenters have become popular due to their ability to represent the average of probability measures in a geometrically meaningful way. In this paper, we present an algorithm to approximate the Wasserstein-2 barycenters of…

Machine Learning · Computer Science 2023-01-10 Alexander Korotin , Vage Egiazarian , Lingxiao Li , Evgeny Burnaev

In this paper we propose a novel augmentation technique that improves not only the performance of deep neural networks on clean test data, but also significantly increases their robustness to random transformations, both affine and…

Unsupervised domain mapping has attracted substantial attention in recent years due to the success of models based on the cycle-consistency assumption. These models map between two domains by fooling a probabilistic discriminator, thereby…

Machine Learning · Computer Science 2019-01-25 Matthew Amodio , Smita Krishnaswamy

Graphs are ubiquitous in various fields, and deep learning methods have been successful applied in graph classification tasks. However, building large and diverse graph datasets for training can be expensive. While augmentation techniques…

Machine Learning · Computer Science 2024-04-15 Andrea Ponti

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

Generative Adversarial Networks (GANs) have demonstrated their versatility across various applications, including data augmentation and malware detection. This research explores the effectiveness of utilizing GAN-generated data to train a…

Cryptography and Security · Computer Science 2024-03-06 Kawana Stalin , Mikias Berhanu Mekoya

Unsupervised retrieval of image features is vital for many computer vision tasks where the annotation is missing or scarce. In this work, we propose a new unsupervised approach to detect the landmarks in images, validating it on the popular…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Iaroslav Bespalov , Nazar Buzun , Dmitry V. Dylov

Wasserstein Barycenter is a principled approach to represent the weighted mean of a given set of probability distributions, utilizing the geometry induced by optimal transport. In this work, we present a novel scalable algorithm to…

Machine Learning · Computer Science 2021-11-30 Jiaojiao Fan , Amirhossein Taghvaei , Yongxin Chen

We propose a general purpose approach to detect landmarks with improved temporal consistency, and personalization. Most sparse landmark detection methods rely on laborious, manually labelled landmarks, where inconsistency in annotations…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 David Ferman , Gaurav Bharaj

Data scarcity and class imbalance are two fundamental challenges in many machine learning applications to healthcare. Breast cancer classification in mammography exemplifies these challenges, with a malignancy rate of around 0.5% in a…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Eric Wu , Kevin Wu , William Lotter

Data augmentation has always been an effective way to overcome overfitting issue when the dataset is small. There are already lots of augmentation operations such as horizontal flip, random crop or even Mixup. However, unlike image…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Yichen Zhang , Zeyang Song , Wenbo Li

Learning generative models is challenging for a network edge node with limited data and computing power. Since tasks in similar environments share model similarity, it is plausible to leverage pre-trained generative models from the cloud or…

Machine Learning · Computer Science 2021-01-25 Mehmet Dedeoglu , Sen Lin , Zhaofeng Zhang , Junshan Zhang

Generative modeling over natural images is one of the most fundamental machine learning problems. However, few modern generative models, including Wasserstein Generative Adversarial Nets (WGANs), are studied on manifold-valued images that…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Zhiwu Huang , Jiqing Wu , Luc Van Gool

Generative Adversarial Networks (GANs) have been widely adopted in various fields. However, existing GANs generally are not able to preserve the manifold of data space, mainly due to the simple representation of discriminator for the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Haozhe Liu , Hanbang Liang , Xianxu Hou , Haoqian Wu , Feng Liu , Linlin Shen

Recently, the introduction of the generative adversarial network (GAN) and its variants has enabled the generation of realistic synthetic samples, which has been used for enlarging training sets. Previous work primarily focused on data…

Machine Learning · Computer Science 2018-08-27 Swee Kiat Lim , Yi Loo , Ngoc-Trung Tran , Ngai-Man Cheung , Gemma Roig , Yuval Elovici

The challenges of collecting medical data on neurological disorder diagnosis problems paved the way for learning methods with scarce number of samples. Due to this reason, one-shot learning still remains one of the most challenging and…

Neurons and Cognition · Quantitative Biology 2022-12-16 Oben Özgür , Arwa Rekik , Islem Rekik

In this paper, we propose a new method to perform data augmentation in a reliable way in the High Dimensional Low Sample Size (HDLSS) setting using a geometry-based variational autoencoder. Our approach combines a proper latent space…

Machine Learning · Statistics 2023-01-18 Clément Chadebec , Elina Thibeau-Sutre , Ninon Burgos , Stéphanie Allassonnière

This paper presents an efficient algorithm for the progressive approximation of Wasserstein barycenters of persistence diagrams, with applications to the visual analysis of ensemble data. Given a set of scalar fields, our approach enables…

Graphics · Computer Science 2019-10-10 Jules Vidal , Joseph Budin , Julien Tierny

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

Machine Learning · Statistics 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

Standard formulations of GANs, where a continuous function deforms a connected latent space, have been shown to be misspecified when fitting different classes of images. In particular, the generator will necessarily sample some low-quality…

Machine Learning · Computer Science 2021-10-20 Thibaut Issenhuth , Ugo Tanielian , David Picard , Jeremie Mary
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