activity
20172026
most citedOut-of-distributional risk bounds for neural operators with applications to the Helmholtz equation

4 citations · 5 across the 5 of their papers we have counts for

collaborators

12 papers

math.NA2026

Full cross-correlation inversion for quantitative passive imaging with time-harmonic acoustic waves

Jean Dutheil, Florian Faucher

We consider the inverse problem for the quantitative reconstruction of physical properties in the context of passive imaging, where ambient wavefields are used to infer a medium. T…

math.AP2024

Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation

Ha Pham, Florian Faucher, Hélène Barucq

This work is concerned with implementing the hybridizable discontinuous Galerkin (HDG) method to solve the linear anisotropic elastic equation in the frequency domain. First-order…

astro-ph.SR2024

Assembling algorithm for Green's tensors and absorbing boundary conditions for Galbrun's equation in radial symmetry

Ha Pham, Florian Faucher, Damien Fournier +2

Solar oscillations can be modeled by Galbrun's equation which describes Lagrangian wave displacement in a self-gravitating stratified medium. For spherically symmetric backgrounds,…

cs.LG2023★ 4 cited

Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation

J. Antonio Lara Benitez, Takashi Furuya, Florian Faucher +3

Despite their remarkable success in approximating a wide range of operators defined by PDEs, existing neural operators (NOs) do not necessarily perform well for all physics problem…

math.AP2022

Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty

Florian Faucher, Otmar Scherzer

We consider the inverse problem of quantitative reconstruction of properties (e.g., bulk modulus, density) of visco-acoustic materials based on measurements of responding waves aft…

math.NA2021

Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion

Florian Faucher, Clemens Kirisits, Michael Quellmalz +2

In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by i…