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We expound on some known lower bounds of the quadratic Wasserstein distance between random vectors in $\mathbb{R}^n$ with an emphasis on affine transformations that have been used in manifold learning of data in Wasserstein space. In…

Machine Learning · Statistics 2024-02-09 Keaton Hamm , Andrzej Korzeniowski

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

The Wasserstein distance is a distance between two probability distributions and has recently gained increasing popularity in statistics and machine learning, owing to its attractive properties. One important approach to extending this…

Methodology · Statistics 2022-02-14 Ryo Okano , Masaaki Imaizumi

Generative Adversarial Networks (GANs) are powerful generative models, but suffer from training instability. The recently proposed Wasserstein GAN (WGAN) makes progress toward stable training of GANs, but sometimes can still generate only…

Machine Learning · Computer Science 2017-12-27 Ishaan Gulrajani , Faruk Ahmed , Martin Arjovsky , Vincent Dumoulin , Aaron Courville

Comparing images to recommend items from an image-inventory is a subject of continued interest. Added with the scalability of deep-learning architectures the once `manual' job of hand-crafting features have been largely alleviated, and…

Information Retrieval · Computer Science 2017-11-15 Y Qian , E Vazquez , B Sengupta

Many traditional computer vision algorithms generate realistic images by requiring that each patch in the generated image be similar to a patch in a training image and vice versa. Recently, this classical approach has been replaced by…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Ariel Elnekave , Yair Weiss

Deep neural networks perform well on real world data but are prone to adversarial perturbations: small changes in the input easily lead to misclassification. In this work, we propose an attack methodology not only for cases where the…

Machine Learning · Computer Science 2019-10-09 Aram-Alexandre Pooladian , Chris Finlay , Tim Hoheisel , Adam Oberman

Regression loss design is an essential topic for oriented object detection. Due to the periodicity of the angle and the ambiguity of width and height definition, traditional L1-distance loss and its variants have been suffered from the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Yuke Zhu , Yumeng Ruan , Zihua Xiong , Sheng Guo

Recent works on adversarial examples for image classification focus on directly modifying pixels with minor perturbations. The small perturbation requirement is imposed to ensure the generated adversarial examples being natural and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Dan Peng , Zizhan Zheng , Linhao Luo , Xiaofeng Zhang

Machine learning algorithms have been shown to be vulnerable to adversarial manipulation through systematic modification of inputs (e.g., adversarial examples) in domains such as image recognition. Under the default threat model, the…

Cryptography and Security · Computer Science 2022-09-12 Ryan Sheatsley , Nicolas Papernot , Michael Weisman , Gunjan Verma , Patrick McDaniel

Recent research has found that neural networks are vulnerable to several types of adversarial attacks, where the input samples are modified in such a way that the model produces a wrong prediction that misclassifies the adversarial sample.…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Adversarial attacks for image classification are small perturbations to images that are designed to cause misclassification by a model. Adversarial attacks formally correspond to an optimization problem: find a minimum norm image…

Machine Learning · Computer Science 2019-03-26 Chris Finlay , Aram-Alexandre Pooladian , Adam M. Oberman

In spite of intense research efforts, deep neural networks remain vulnerable to adversarial examples: an input that forces the network to confidently produce incorrect outputs. Adversarial examples are typically generated by an attack…

Artificial Intelligence · Computer Science 2023-02-02 David Aaron Nicholson , Vincent Emanuele

We present a simple technique that allows capsule models to detect adversarial images. In addition to being trained to classify images, the capsule model is trained to reconstruct the images from the pose parameters and identity of the…

Machine Learning · Computer Science 2018-11-19 Nicholas Frosst , Sara Sabour , Geoffrey Hinton

In this paper we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Amit Singer , Ruiyi Yang

CNNs are poised to become integral parts of many critical systems. Despite their robustness to natural variations, image pixel values can be manipulated, via small, carefully crafted, imperceptible perturbations, to cause a model to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

Wasserstein metrics are increasingly being used as similarity scores for images treated as discrete measures on a grid, yet their behavior under noise remains poorly understood. In this work, we consider the sensitivity of the signed…

Statistics Theory · Mathematics 2026-05-19 Erik Lager , Gilles Mordant , Amit Moscovich

In the context of kernel methods, the similarity between data points is encoded by the kernel function which is often defined thanks to the Euclidean distance, a common example being the squared exponential kernel. Recently, other distances…

Machine Learning · Computer Science 2020-02-06 Henri De Plaen , Michaël Fanuel , Johan A. K. Suykens

With an ever-increasing reliance on machine learning (ML) models in the real world, adversarial examples threaten the safety of AI-based systems such as autonomous vehicles. In the image domain, they represent maliciously perturbed data…

Artificial Intelligence · Computer Science 2024-04-22 Dren Fazlija , Arkadij Orlov , Johanna Schrader , Monty-Maximilian Zühlke , Michael Rohs , Daniel Kudenko

The transferability of adversarial examples allows for the attack on unknown deep neural networks (DNNs), posing a serious threat to many applications and attracting great attention. In this paper, we improve the transferability of…

Machine Learning · Computer Science 2025-10-16 Qizhang Li , Yiwen Guo , Xiaochen Yang , Wangmeng Zuo , Hao Chen
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