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We introduce LOT Wassmap, a computationally feasible algorithm to uncover low-dimensional structures in the Wasserstein space. The algorithm is motivated by the observation that many datasets are naturally interpreted as probability…

Machine Learning · Computer Science 2023-02-16 Alexander Cloninger , Keaton Hamm , Varun Khurana , Caroline Moosmüller

We present a framework that allows for the non-asymptotic study of the $2$-Wasserstein distance between the invariant distribution of an ergodic stochastic differential equation and the distribution of its numerical approximation in the…

Machine Learning · Statistics 2021-09-27 J. M. Sanz-Serna , Konstantinos C. Zygalakis

One of the key challenges in learning joint embeddings of multiple modalities, e.g. of images and text, is to ensure coherent cross-modal semantics that generalize across datasets. We propose to address this through joint Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Shweta Mahajan , Teresa Botschen , Iryna Gurevych , Stefan Roth

Knowledge distillation (KD) in transformers often faces challenges due to misalignment in the number of attention heads between teacher and student models. Existing methods either require identical head counts or introduce projectors to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Zhaodong Bing , Linze Li , Jiajun Liang

The standard quadratic optimization problem (StQP) consists of minimizing a quadratic form over the standard simplex. Without assuming convexity or concavity of the quadratic form, the StQP is NP-hard. This problem has many interesting…

Optimization and Control · Mathematics 2026-03-09 Immanuel M. Bomze , Daniel de Vicente , Abdel Lisser , Heng Zhang

Transformers, which are state-of-the-art in most machine learning tasks, represent the data as sequences of vectors called tokens. This representation is then exploited by the attention function, which learns dependencies between tokens and…

Machine Learning · Computer Science 2025-01-31 Valérie Castin , Pierre Ablin , José Antonio Carrillo , Gabriel Peyré

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Generalized zero-shot learning(GZSL) aims to classify samples from seen and unseen labels, assuming unseen labels are not accessible during training. Recent advancements in GZSL have been expedited by incorporating…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Riti Paul , Sahil Vora , Baoxin Li

Image steganography is the technique of embedding secret information within images. The development of deep learning has led to significant advances in this field. However, existing methods often struggle to balance image quality, embedding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Abhinav Kumar , Pratham Singla , Aayan Yadav

Deep neural networks achieve superior performance in semantic segmentation, but are limited to a predefined set of classes, which leads to failures when they encounter unknown objects in open-world scenarios. Recognizing and segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Arnold Brosch , Abdelrahman Eldesokey , Michael Felsberg , Kira Maag

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

Machine Learning · Computer Science 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

Embedding complex objects as vectors in low dimensional spaces is a longstanding problem in machine learning. We propose in this work an extension of that approach, which consists in embedding objects as elliptical probability…

Machine Learning · Statistics 2019-02-19 Boris Muzellec , Marco Cuturi

We consider distributionally robust optimal control of stochastic linear systems under signal temporal logic (STL) chance constraints when the disturbance distribution is unknown. By assuming that the underlying predicate functions are…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Arash Bahari Kordabad , Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas , Sadegh Soudjani

This paper introduces Wasserstein variational inference, a new form of approximate Bayesian inference based on optimal transport theory. Wasserstein variational inference uses a new family of divergences that includes both f-divergences and…

We address the problem of unsupervised domain adaptation (UDA) by learning a cross-domain agnostic embedding space, where the distance between the probability distributions of the two source and target visual domains is minimized. We use…

Machine Learning · Computer Science 2019-09-25 Alex Gabourie , Mohammad Rostami , Philip Pope , Soheil Kolouri , Kyungnam Kim

The use of attention-based deep learning models in stochastic filtering, e.g. transformers and deep Kalman filters, has recently come into focus; however, the potential for these models to solve stochastic filtering problems remains largely…

Machine Learning · Computer Science 2026-04-03 Blanka Horvath , Anastasis Kratsios , Yannick Limmer , Xuwei Yang

While style transfer techniques have been well-developed for 2D image stylization, the extension of these methods to 3D scenes remains relatively unexplored. Existing approaches demonstrate proficiency in transferring colors and textures…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Dmytro Kotovenko , Olga Grebenkova , Nikolaos Sarafianos , Avinash Paliwal , Pingchuan Ma , Omid Poursaeed , Sreyas Mohan , Yuchen Fan , Yilei Li , Rakesh Ranjan , Björn Ommer

We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein ambiguity set to infer the inverse covariance matrix of a $p$-dimensional Gaussian random vector from $n$ independent samples. The proposed model…

Optimization and Control · Mathematics 2018-05-21 Viet Anh Nguyen , Daniel Kuhn , Peyman Mohajerin Esfahani

Personalized recommender systems are playing an increasingly important role as more content and services become available and users struggle to identify what might interest them. Although matrix factorization and deep learning based methods…

Information Retrieval · Computer Science 2021-01-14 Chen Ma , Liheng Ma , Yingxue Zhang , Ruiming Tang , Xue Liu , Mark Coates

Wasserstein distributionally robust control (DRC) recently emerges as a principled paradigm for handling uncertainty in stochastic dynamical systems. However, it constructs data-driven ambiguity sets via uniform distribution shifts before…

Optimization and Control · Mathematics 2025-10-14 Jingyi Wu , Chao Ning , Yang Shi