La Clinique des Données
9 octobre 2025 @ 14 h 00 min – 16 h 00 min –
Distanciel
Institut de Science des Données de Montpellier
La Clinique des données est un service mis en place par l’ISDM afin de porter assistance à la communauté scientifique sur des thématique liées aux données. Ainsi, toute personne ayant une problématique, une question, un bug est la bienvenue lors des permanences de ce service. Vous serez accueilli par des experts en IA, en (Bio)Informatique et en (Bio)Statistique.
Accompagnement, Assistance
What is a good matching of probability measures? A counterfactual lens on transport maps
9 octobre 2025 @ 14 h 00 min –
Room 03.124, Building 5, St Priest campus
Machine Learning in Montpellier, Theory & Practice – Luca Ganassali (Univ. Paris-Saclay)
Coupling probability measures is central to statistics and machine learning, yet transport maps are generally non-unique. The common recourse to optimal transport, motivated by cost minimization and cyclical monotonicity, obscures the fact that several distinct notions of multivariate monotone matchings coexist. In this talk, we will first compare three constructions of transport maps—cyclically monotone, quantile-preserving, and triangular maps—characterizing when they coincide and highlighting their structural properties. We will then connect this analysis to causal inference, showing how counterfactual reasoning can be framed as selecting a transport map and when causal assumptions align with classical statistical transports. Taken together, these results aim to enrich the theoretical understanding of families of transport maps and to clarify their possible causal interpretations. This talk is based on joint work with Lucas De Lara.
Machine Learning in Montpellier, Theory & Practice