32 citations · 116 across the 14 of their papers we have counts for
16 papers
ED-CSP: Crystal Structure Prediction from Electron Diffraction
Germain Poloudenny, Arnaud Demortière, Yaël Frégier
Recovering a periodic 3D crystal structure from sparse, unindexed electron diffraction (ED) observations is a challenging generative inverse problem. Existing ED-based learning met…
Equivariant Message Passing Neural Network for Crystal Material Discovery
Astrid Klipfel, Olivier Peltre, Najwa Harrati +3
Automatic material discovery with desired properties is a fundamental challenge for material sciences. Considerable attention has recently been devoted to generating stable crystal…
Belief Propagation as Diffusion
Olivier Peltre
We introduce novel belief propagation algorithms to estimate the marginals of a high dimensional probability distribution. They involve natural (co)homological constructions releva…
Frobenius statistical manifolds & geometric invariants
Noemie Combe, Philippe Combe, Hanna Nencka
In this paper, we explicitly prove that statistical manifolds, related to exponential families and with flat structure connection have a Frobenius manifold structure. This latter o…
Cohomologies of a Lie algebra with a derivation and applications
Rong Tang, Yael Fregier, Yunhe Sheng
The main object of study of this paper is the notion of a LieDer pair, i.e. a Lie algebra with a derivation. We introduce the concept of a representation of a LieDer pair and study…
Homotopy theory of singular foliations
Yael Fregier, Rigel A. Juarez-Ojeda
In this article we apply ideas from homotopy theory to the study of singular foliations. We verify that a technical lemma remains valid for left semi-model categories. When applied…