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Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) are powerful generative models which have been successfully…

Machine Learning · Computer Science 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

Optimal Transport has received much attention in Machine Learning as it allows to compare probability distributions by exploiting the geometry of the underlying space. However, in its original formulation, solving this problem suffers from…

Machine Learning · Computer Science 2023-11-27 Clément Bonet

While supervised learning has enabled great progress in many applications, unsupervised learning has not seen such widespread adoption, and remains an important and challenging endeavor for artificial intelligence. In this work, we propose…

Machine Learning · Computer Science 2019-01-23 Aaron van den Oord , Yazhe Li , Oriol Vinyals

Imitation Learning describes the problem of recovering an expert policy from demonstrations. While inverse reinforcement learning approaches are known to be very sample-efficient in terms of expert demonstrations, they usually require…

Machine Learning · Computer Science 2019-06-20 Huang Xiao , Michael Herman , Joerg Wagner , Sebastian Ziesche , Jalal Etesami , Thai Hong Linh

Adversarial perturbations are noise-like patterns that can subtly change the data, while failing an otherwise accurate classifier. In this paper, we propose to use such perturbations within a novel contrastive learning setup to build…

Computer Vision and Pattern Recognition · Computer Science 2020-04-17 Jue Wang , Anoop Cherian

Image inpainting is a restoration method that reconstructs missing image parts. However, a carefully selected mask of known pixels that yield a high quality inpainting can also act as a sparse image representation. This challenging spatial…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Pascal Peter

Generative Adversarial Networks (GANs) are one of the most practical methods for learning data distributions. A popular GAN formulation is based on the use of Wasserstein distance as a metric between probability distributions.…

Machine Learning · Computer Science 2018-05-23 Maziar Sanjabi , Jimmy Ba , Meisam Razaviyayn , Jason D. Lee

Unsupervised learning aims to capture the underlying structure of potentially large and high-dimensional datasets. Traditionally, this involves using dimensionality reduction (DR) methods to project data onto lower-dimensional spaces or…

Machine Learning · Computer Science 2025-06-30 Hugues Van Assel , Cédric Vincent-Cuaz , Nicolas Courty , Rémi Flamary , Pascal Frossard , Titouan Vayer

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

Machine Learning · Computer Science 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

Contrastive learning is a recent promising approach in unsupervised representation learning where a feature representation of data is learned by solving a pseudo classification problem from unlabelled data. However, it is not…

Machine Learning · Computer Science 2022-08-10 Hiroaki Sasaki , Takashi Takenouchi

Wasserstein autoencoder (WAE) shows that matching two distributions is equivalent to minimizing a simple autoencoder (AE) loss under the constraint that the latent space of this AE matches a pre-specified prior distribution. This latent…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Devansh Arpit , Aadyot Bhatnagar , Huan Wang , Caiming Xiong

Domain shifts in the training data are common in practical applications of machine learning; they occur for instance when the data is coming from different sources. Ideally, a ML model should work well independently of these shifts, for…

Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents their direct use on large scale datasets. To overcome this…

Machine Learning · Statistics 2021-10-14 Kilian Fatras , Younes Zine , Rémi Flamary , Rémi Gribonval , Nicolas Courty

We propose a unified data-driven framework based on inverse optimal transport that can learn adaptive, nonlinear interaction cost function from noisy and incomplete empirical matching matrix and predict new matching in various matching…

Machine Learning · Statistics 2018-11-01 Ruilin Li , Xiaojing Ye , Haomin Zhou , Hongyuan Zha

This paper raises an implicit manifold learning perspective in Generative Adversarial Networks (GANs), by studying how the support of the learned distribution, modelled as a submanifold $\mathcal{M}_{\theta}$, perfectly match with…

Machine Learning · Statistics 2017-11-01 Kry Yik Chau Lui , Yanshuai Cao , Maxime Gazeau , Kelvin Shuangjian Zhang

This paper presents a novel method for accelerating path-planning tasks in unknown scenes with obstacles by utilizing Wasserstein Generative Adversarial Networks (WGANs) with Gradient Penalty (GP) to approximate the distribution of…

Robotics · Computer Science 2025-01-14 Jorge Ocampo Jimenez , Wael Suleiman

We address the problem of unsupervised domain adaptation under the setting of generalized target shift (joint class-conditional and label shifts). For this framework, we theoretically show that, for good generalization, it is necessary to…

Machine Learning · Computer Science 2021-10-20 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Mokhtar Z. Alaya , Maxime Berar , Nicolas Courty

Self-supervised learning has revolutionized representation learning by eliminating the need for labeled data. Contrastive learning methods, such as SimCLR, maximize the agreement between augmented views of an image but lack explicit…

Machine Learning · Computer Science 2025-02-18 M. Hadi Sepanj , Paul Fiegth

Contrastive learning has shown great promise in the field of graph representation learning. By manually constructing positive/negative samples, most graph contrastive learning methods rely on the vector inner product based similarity metric…

Machine Learning · Computer Science 2022-07-27 Yuehui Han , Le Hui , Haobo Jiang , Jianjun Qian , Jin Xie

Mutual information maximization has emerged as a powerful learning objective for unsupervised representation learning obtaining state-of-the-art performance in applications such as object recognition, speech recognition, and reinforcement…

Machine Learning · Computer Science 2019-03-29 Sherjil Ozair , Corey Lynch , Yoshua Bengio , Aaron van den Oord , Sergey Levine , Pierre Sermanet
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