output
20152026
most citedTopological Lasing from Thouless Pumping in Bilayer Photonic Crystal

7 citations

22 papers

math.AP2026

Existence of solutions to the voltage-conductance kinetic equation in a general conductivity regime

C Fonte Sanchez, S Mischler, D Salort

We establish the existence of a weak solution to the Voltage-Conductance kinetic equation for any conductivity parameter and any reasonable initial datum, and in particular without…

math.OC2026

Attention-based PCA

Rodrigo Maulen-Soto, Claire Boyer

We study attention mechanisms through the lens of a canonical unsupervised problem: principal component analysis (PCA). We show that, when trained on Gaussian data, both softmax an…

math.AG2026

The -Trace System

Daniel Barlet

We study a simple 1-parameter perturbation of the regular holonomic Trace System satisfied by a complex power of the root of the universal polynomial of degree k as a holomorphic f…

cs.CV2026

Diachronic Stereo Matching for Multi-Date Satellite Imagery

Elías Masquil, Luca Savant Aira, Roger Marí +3

Recent advances in image-based satellite 3D reconstruction have progressed along two complementary directions. On one hand, multi-date approaches using NeRF or Gaussian-splatting j…

q-bio.NC2025

Modulating the tennis racket grip during motor imagery influences serve accuracy and performance: A pilot study

Aymeric Guillot, Julien Gauthier, Jeanne Lejoncour +1

There is now ample evidence that Motor Imagery (MI) contributes to improve motor performance. Previous studies provided evidence that its effectiveness remains dependent upon speci…

stat.ML2025

Fast kernel methods: Sobolev, physics-informed, and additive models

Nathan Doumèche, Francis Bach, Gérard Biau +1

Kernel methods are powerful tools in statistical learning, but their cubic complexity in the sample size n limits their use on large-scale datasets. In this work, we introduce a sc…

math.AP2025

A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation

Meriem Bahhi, Jonas Lampart, Christian Klein +1

We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well as…

math.AG2025

Generalized Brieskorn Modules II: Higher Bernstein Polynomials and Multiple Poles

Daniel Barlet

Our main result is to show that the existence of a root in. ----Nfor the p-th Bernstein polynomial of the (a,b)-module generated by a holomorphicform in the (convergent) Briesko…

stat.ML2025

Forecasting time series with constraints

Nathan Doumèche, Francis Bach, Éloi Bedek +3

Time series forecasting presents unique challenges that limit the effectiveness of traditional machine learning algorithms. To address these limitations, various approaches have in…

math.AG2024

On Symmetric and Anti-symmetric Partial Differential Operators

Daniel Barlet

We study the action of symmetric PDO on the module of anti-symmetric functions in . We show that over the Weyl algebra of the elementary symmetric functions, this…

stat.ML2024

Physics-informed kernel learning

Nathan Doumèche, Francis Bach, Gérard Biau +1

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial d…

cs.AI2024

Physics-informed machine learning as a kernel method

Nathan Doumèche, Francis Bach, Gérard Biau +1

Physics-informed machine learning combines the expressiveness of data-based approaches with the interpretability of physical models. In this context, we consider a general regressi…

math.AG2023

Generalized Brieskorn Modules I: Convergent (a,b)-modules

Daniel Barlet

This paper is the first one of two papers whose goal is to give a converse to the main result of my previous paper [6], so to prove the existence of multiple poles for the distribu…

math.AP2023

Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation

Laurent Thomann, Nicolas Burq

In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{ö}dinger equation with random init…

cs.AI2023★ 5 cited

On the Complexity of Enumerating Prime Implicants from Decision-DNNF Circuits

Alexis de Colnet, Pierre Marquis

We consider the problem EnumIP of enumerating prime implicants of Boolean functions represented by decision decomposable negation normal form (dec-DNNF) circuits. We study EnumIP f…

cs.SE2023

MLinter: Learning Coding Practices from Examples-Dream or Reality?

Corentin Latappy, Quentin Perez, Thomas Degueule +5

Coding practices are increasingly used by software companies. Their use promotes consistency, readability, and maintainability, which contribute to software quality. Coding practic…

physics.optics2021★ 7 cited

Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal

D. -H. -Minh Nguyen, Dung Xuan Nguyen, Hai-Chau Nguyen +5

Topological lasing leverages concepts from topological physics to achieve single-mode light amplification within topological bandgaps, offering robustness against fabrication imper…

math.CV2017

Gauduchon's form and compactness of the space of divisors

Daniel Barlet

We show that in a holomorphic family of compact complex connected manifolds parametrized by an irreducible complex space , assuming that on a dense Zariski open set in $…

math.CV2016

Note on the semi-continuity of the algebraic dimension

Daniel Barlet

In this short Note we show that the direct image sheaf R 1 * (O X) associated to an analytic family of compact complex manifolds : X S parametrized by a reduc…

math.CV2016

Note on the quasi-proper direct image with value in a Banach analytic set

Daniel Barlet

We give a rather simple proof of the generalization of Kuhlmann's quasi-proper direct image theorem to the case of a map with values in a Banach analytic set. The proof uses a gene…

quant-ph2016

Dispersive coupling between light and a rare-earth ion doped mechanical resonator

Klaus Mølmer, Yann Le Coq, Signe Seidelin

By spectrally hole burning an inhomogeneously broadened ensemble of ions while applying a controlled perturbation, one can obtain spectral holes that are functionalized for maximum…

math.PR2015★ 4 cited

Transportation cost-information and concentration inequalities for bifurcating Markov chains

Siméon Valère Bitseki Penda, Mikael Escobar-Bach, Arnaud Guillin

We investigate the transportation cost-information inequalities for bifurcating Markov chains which are a class of processes indexed by binary tree. These processes provide models…