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Defining meaningful distances between samples in a dataset is a fundamental problem in machine learning. Optimal Transport (OT) lifts a distance between features (the "ground metric") to a geometrically meaningful distance between samples.…

Machine Learning · Statistics 2022-07-20 Geert-Jan Huizing , Laura Cantini , Gabriel Peyré

Recent works in self-supervised learning have shown impressive results on single-object images, but they struggle to perform well on complex multi-object images as evidenced by their poor visual grounding. To demonstrate this concretely, we…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Aishwarya Agarwal , Srikrishna Karanam , Balaji Vasan Srinivasan

Wasserstein Discriminant Analysis (WDA) is a new supervised method that can improve classification of high-dimensional data by computing a suitable linear map onto a lower dimensional subspace. Following the blueprint of classical Linear…

Machine Learning · Statistics 2018-09-21 Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy

The success of deep learning in medical imaging is mostly achieved at the cost of a large labeled data set. Semi-supervised learning (SSL) provides a promising solution by leveraging the structure of unlabeled data to improve learning from…

Machine Learning · Computer Science 2019-07-24 Prashnna Kumar Gyawali , Zhiyuan Li , Sandesh Ghimire , Linwei Wang

Wasserstein dictionary learning is an unsupervised approach to learning a collection of probability distributions that generate observed distributions as Wasserstein barycentric combinations. Existing methods for Wasserstein dictionary…

Machine Learning · Computer Science 2022-10-24 Marshall Mueller , Shuchin Aeron , James M. Murphy , Abiy Tasissa

Most self-supervised learning (SSL) methods learn continuous visual representations by aligning different views of the same input, offering limited control over how information is structured across representation dimensions. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Kawtar Zaher , Ilyass Moummad , Olivier Buisson , Alexis Joly

Nowadays, supervised deep learning techniques yield the best state-of-the-art prediction performances for a wide variety of computer vision tasks. However, such supervised techniques generally require a large amount of manually labeled…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Florent Chiaroni , Mohamed-Cherif Rahal , Nicolas Hueber , Frederic Dufaux

While variational autoencoders have been successful in several tasks, the use of conventional priors are limited in their ability to encode the underlying structure of input data. We introduce an Encoded Prior Sliced Wasserstein AutoEncoder…

Machine Learning · Computer Science 2021-12-14 Sanjukta Krishnagopal , Jacob Bedrossian

We propose a distributionally robust data-driven predictive control framework for stochastic linear time-invariant systems with unknown dynamics and disturbance distributions. We use an offline trajectory to fit the subspace predictive…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Mirhan Urkmez , Shahab Heshmati-Alamdari

Multimodal image registration is a very challenging problem for deep learning approaches. Most current work focuses on either supervised learning that requires labelled training scans and may yield models that bias towards annotated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Mattias P Heinrich , Lasse Hansen

Collaborative filtering (CF) is an essential technique in recommender systems that provides personalized recommendations by only leveraging user-item interactions. However, most CF methods represent users and items as fixed points in the…

Information Retrieval · Computer Science 2024-07-02 Haoxuan Li , Yuanxin Ouyang , Zhuang Liu , Wenge Rong , Zhang Xiong

While the existing stochastic control theory is well equipped to handle dynamical systems with stochastic uncertainties, a paradigm shift using distance measure based decision making is required for the effective further exploration of the…

Optimization and Control · Mathematics 2025-12-02 Venkatraman Renganathan , Sei Zhen Khong

Despite the rapid advancement of unsupervised learning in visual representation, it requires training on large-scale datasets that demand costly data collection, and pose additional challenges due to concerns regarding data privacy.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 David Junhao Zhang , Mutian Xu , Chuhui Xue , Wenqing Zhang , Xiaoguang Han , Song Bai , Mike Zheng Shou

We introduce the observable Wasserstein distance, a framework for deriving lower bounds on the Wasserstein distance between probability measures on Polish metric spaces, designed to bypass the computational intractability of exact optimal…

Metric Geometry · Mathematics 2026-05-12 Edivaldo Lopes dos Santos , Leandro Vicente Mauri , Washington Mio , Tom Needham

Self-supervised learning (SSL) has emerged as a powerful paradigm for learning representations without labeled data. Most SSL approaches rely on strong, well-established, handcrafted data augmentations to generate diverse views for…

Machine Learning · Computer Science 2026-01-16 Berken Utku Demirel , Christian Holz

Instance segmentation demands costly per-pixel annotations and computationally expensive models. We introduce CAST, a semi-supervised knowledge distillation (SSKD) framework that compresses pre-trained vision foundation models (VFM) into…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Pardis Taghavi , Tian Liu , Renjie Li , Reza Langari , Zhengzhong Tu

In this study, a novel self-supervised learning (SSL) method is proposed, which considers SSL in terms of variational inference to learn not only representation but also representation uncertainties. SSL is a method of learning…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Hiroki Nakamura , Masashi Okada , Tadahiro Taniguchi

Optimal transport is a foundational problem in optimization, that allows to compare probability distributions while taking into account geometric aspects. Its optimal objective value, the Wasserstein distance, provides an important loss…

Machine Learning · Computer Science 2020-02-21 Marin Ballu , Quentin Berthet , Francis Bach

Uniformity plays an important role in evaluating learned representations, providing insights into self-supervised learning. In our quest for effective uniformity metrics, we pinpoint four principled properties that such metrics should…

Machine Learning · Computer Science 2024-04-29 Xianghong Fang , Jian Li , Qiang Sun , Benyou Wang

Recent Self-Supervised Learning (SSL) methods are able to learn feature representations that are invariant to different data augmentations, which can then be transferred to downstream tasks of interest. However, different downstream tasks…

Machine Learning · Computer Science 2023-03-08 Chen Huang , Hanlin Goh , Jiatao Gu , Josh Susskind
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