Hi! PARIS Reading groups “Optimal Transport for Machine Learning”
The Hi! PARIS reading groups propose to study a topic using scientific articles on a theoretical and a practical point of view. The reading groups are opportunities of interaction between our corporate donors and our affiliates academic teams around selected topics of interest.
Each edition is planned for 2-4 sessions presenting one topic by the mean of 3-4 research papers. For each session: presentation of mathematical models and theoretical advances by a researcher + simulations with a Python notebook by an engineer.
Registration
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Optimal Transport (OT) is a mathematical framework that focuses on finding the most efficient way to transform one distribution of data into another. If you have two sets of points, for example, images, words, or user preferences, and you want to measure how “different” they are. OT calculates the minimal “cost” of moving the data from one distribution to match the other, like finding the cheapest way to transport goods between two cities.
In machine learning, OT is used to compare, align, or transfer knowledge between datasets. It’s widely applied in tasks like domain adaptation, generative modeling, clustering, and aligning multimodal data because it provides a more meaningful measure of similarity than simple distance metrics.
Session 1/3
Tuesday October 14, 2025 – 2.00-3.30pm (Online)
Speaker: Clément Bonnet, ENSAE Paris – IP Paris
Title: An introduction to Optimal Transport for Machine Learning
Abstract: Optimal Transport has received significant attention in Machine Learning as it provides a way to compare probability distributions by leveraging the geometry of the underlying space. In this talk, I will introduce the concept of Optimal Transport and discuss how it can be applied in practice. I will then give a brief overview of some of its applications in Machine Learning. This presentation is based on Montesuma et al. (2023) and Peyré (2025).