Publications

Machine Learning

Differentiable Expectation-Maximisation and Applications to Gaussian Mixture Model Optimal Transport

The Expectation-Maximisation (EM) algorithm is a central tool in statistics and machine learning, widely used for latent-variable models such as Gaussian Mixture Models (GMMs). Despite its ubiquity, EM is typically treated as a non-differentiable…

Samuel Boïté, Eloi Tanguy, Julie Delon, Agnès Desolneux, Rémi Flamary

Sensory Organs

Fluctuations in angle lambda with the pupil diameter and correlations with biometric values in a healthy population

The anatomical and dynamic description of the eyeball provided by physiological optics relies on several angles formed by the intersection of a number of axes. 1 Some definitions lack consensus, and variations are encountered in the literature. 2…

Maxence Rateaux, Alienor Vienne-Jumeau, Dominique Bremond-Gignac, Matthieu P Robert

Ophthalmic & Physiological Optics - 2025

Probability

Formal equivalence between global optimization consistency and random search

We formalize a proof that any stochastic and iterative global optimization algorithm is consistent over Lipschitz continuous functions if and only if it samples the whole search space. To achieve this, we use the L∃∀N theorem prover and the Mathlib…

Gaëtan Serré

Mathematics

Deep Generative Methods and Tire Architecture Design

As deep generative models proliferate across the AI landscape, industrial practitioners still face critical yet unanswered questions about which deep generative models best suit complex manufacturing design tasks. This work addresses this question…

Fouad Oubari, Raphael Meunier, Rodrigue Décatoire, Mathilde Mougeot

Mathematics

Multi-Component VAE with Gaussian Markov Random Field

Multi-component datasets with intricate dependencies, like industrial assemblies or multi-modal imaging, challenge current generative modeling techniques. Existing Multi-component Variational AutoEncoders typically rely on simplified aggregation…

Fouad Oubari, Mohamed El-Baha, Raphael Meunier, Rodrigue Décatoire, Mathilde Mougeot

Computer Science

Time Series Motif Discovery: A Comprehensive Evaluation

Motif Discovery involves identifying recurring patterns and locating their occurrences within a time series without prior knowledge about their shape or location. In practice, Motif Discovery faces several data-related challenges, leading to various…

Valerio Guerrini, Thibaut Germain, Charles Truong, Laurent Oudre, Paul Boniol

Proceedings of the VLDB Endowment (PVLDB) - 2025

Computer Science

Geometry-aware framework for deep energy method: An application to structural mechanics with hyperelastic materials

Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier, Jean Di Stasio, Christophe Millet, Mathilde Mougeot

Computer Physics Communications - 2025

Image Processing

S3VD Self-Supervised Spatial Video Downsampling Loss: A Method for Training Video FPN Denoising Networks

Fixed pattern noise (FPN) is a temporally constant noise present on videos due to the non-uniformities of the sensors that may exhibit spatial correlation, typically across columns and/or rows. Acquiring real clean/noisy data is particularly…

Hortensia Barral, Pablo Arias, Axel Davy

The IEEE International Conference on Image Processing (ICIP2025) - 2025

Dermatology

Chiasmal Decussation in Oculo-Cutaneous Albinism Type 8

PURPOSE. Albinism is a genetic disorder characterized by a defect in melanin biosynthesis. Ophthalmological and dermatological impairments vary according to the patient genotype and are highly heterogenous. Recently, variants in the DCT gene were…

Maxence Rateaux, Smaïl Hadj-Rabia, Rémi Barrois, Olivia Zambrowski, Vincent Michaud, Ester Moreno-Artero, Dominique Bremond-Gignac, Sophie Javerzat, Matthieu P Robert

Investigative Ophthalmology & Visual Science - 2025

Analysis of PDEs

Existence, instability and energy partition for linear or nonlinear evolution equations issued from fluid mechanics

This thesis contains three themes: microlocal partition of energy, the virial theorem, and the well-posedness of jet flows. The first theme explores how the energy of solutions to dispersive equations is equally distributed inside and outside the…

Haocheng Yang