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Optimal transport (OT) is a widely used technique in machine learning, graphics, and vision that aligns two distributions or datasets using their relative geometry. In symmetry-rich settings, however, OT alignments based solely on pairwise…

Machine Learning · Computer Science 2025-09-26 Annabel Ma , Kaiying Hou , David Alvarez-Melis , Melanie Weber

We introduce a novel method for multilingual transfer that utilizes deep contextual embeddings, pretrained in an unsupervised fashion. While contextual embeddings have been shown to yield richer representations of meaning compared to their…

Computation and Language · Computer Science 2019-04-05 Tal Schuster , Ori Ram , Regina Barzilay , Amir Globerson

Cross-lingual word embeddings aim to bridge the gap between high-resource and low-resource languages by allowing to learn multilingual word representations even without using any direct bilingual signal. The lion's share of the methods are…

Computation and Language · Computer Science 2020-09-03 Magdalena Biesialska , Marta R. Costa-jussà

Optimal transport (OT) has gained popularity due to its various applications in fields such as machine learning, statistics, and signal processing. However, the balanced mass requirement limits its performance in practical problems. To…

Machine Learning · Computer Science 2024-04-24 Yikun Bai , Ivan Medri , Rocio Diaz Martin , Rana Muhammad Shahroz Khan , Soheil Kolouri

We propose a simple method to align multilingual contextual embeddings as a post-pretraining step for improved zero-shot cross-lingual transferability of the pretrained models. Using parallel data, our method aligns embeddings on the word…

Computation and Language · Computer Science 2021-04-13 Lin Pan , Chung-Wei Hang , Haode Qi , Abhishek Shah , Saloni Potdar , Mo Yu

End-to-end speech translation (ST) is the task of translating speech signals in the source language into text in the target language. As a cross-modal task, end-to-end ST is difficult to train with limited data. Existing methods often try…

Computation and Language · Computer Science 2023-05-26 Yan Zhou , Qingkai Fang , Yang Feng

In many unpaired image domain translation problems, e.g., style transfer or super-resolution, it is important to keep the translated image similar to its respective input image. We propose the extremal transport (ET) which is a mathematical…

Machine Learning · Computer Science 2023-11-03 Milena Gazdieva , Alexander Korotin , Daniil Selikhanovych , Evgeny Burnaev

We propose a novel approach based on optimal transport (OT) for tackling the problem of highly mixed data in blind hyperspectral unmixing. Our method constrains the distribution of the estimated abundance matrix to resemble a targeted…

Image and Video Processing · Electrical Eng. & Systems 2025-09-26 D. Doutsas , B. Figliuzzi

Training a Deep Neural Network (DNN) from scratch requires a large amount of labeled data. For a classification task where only small amount of training data is available, a common solution is to perform fine-tuning on a DNN which is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Ying Lu , Liming Chen , Alexandre Saidi

In this paper, we propose to tackle the problem of reducing discrepancies between multiple domains referred to as multi-source domain adaptation and consider it under the target shift assumption: in all domains we aim to solve a…

Machine Learning · Statistics 2019-03-15 Ievgen Redko , Nicolas Courty , Rémi Flamary , Devis Tuia

We present a neural framework for learning conditional optimal transport (OT) maps between probability distributions. Our approach introduces a conditioning mechanism capable of processing both categorical and continuous conditioning…

Machine Learning · Computer Science 2026-04-02 Carlos Rodriguez-Pardo , Leonardo Chiani , Emanuele Borgonovo , Massimo Tavoni

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

Machine Learning · Computer Science 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Without any explicit cross-lingual training data, multilingual language models can achieve cross-lingual transfer. One common way to improve this transfer is to perform realignment steps before fine-tuning, i.e., to train the model to build…

Computation and Language · Computer Science 2023-06-06 Félix Gaschi , Patricio Cerda , Parisa Rastin , Yannick Toussaint

While large language models demonstrate remarkable capabilities at task-specific applications through fine-tuning, extending these benefits across diverse languages is essential for broad accessibility. However, effective cross-lingual…

Computation and Language · Computer Science 2025-06-03 Danni Liu , Jan Niehues

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground…

Machine Learning · Statistics 2017-12-19 David Alvarez-Melis , Tommi S. Jaakkola , Stefanie Jegelka

Handwritten Text Recognition (HTR) is a task of central importance in the field of document image understanding. State-of-the-art methods for HTR require the use of extensive annotated sets for training, making them impractical for…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Petros Georgoulas Wraight , Giorgos Sfikas , Ioannis Kordonis , Petros Maragos , George Retsinas

Optimal transport (OT) theory describes general principles to define and select, among many possible choices, the most efficient way to map a probability measure onto another. That theory has been mostly used to estimate, given a pair of…

Machine Learning · Computer Science 2023-04-03 Charlotte Bunne , Andreas Krause , Marco Cuturi

Multilingual pretraining typically lacks explicit alignment signals, leading to suboptimal cross-lingual alignment in the representation space. In this work, we show that training standard pretrained models for cross-lingual alignment with…

Computation and Language · Computer Science 2026-02-26 Barah Fazili , Koustava Goswami

Many problems in machine learning involve calculating correspondences between sets of objects, such as point clouds or images. Discrete optimal transport provides a natural and successful approach to such tasks whenever the two sets of…

Machine Learning · Statistics 2019-02-28 David Alvarez-Melis , Stefanie Jegelka , Tommi S. Jaakkola