144 citations · 525 across the 23 of their papers we have counts for
5 papers · 1 filter
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity
Habib Ammari, Elie Bretin, Josselin Garnier +3
The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing chara…
Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries
Liliana Borcea, Josselin Garnier
We analyze long range wave propagation in three-dimensional random waveguides. The waves are trapped by top and bottom boundaries, but the medium is unbounded in the two remaining…
Passive Array Correlation-Based Imaging in a Random Waveguide
Habib Ammari, Josselin Garnier, Wenjia Jing
We consider reflector imaging in a weakly random waveguide. We address the situation in which the source is farther from the reflector to be imaged than the energy equipartition di…
Target Detection and Characterization from Electromagnetic Induction Data
Habib Ammari, Junqing Chen, Zhiming Chen +2
The goal of this paper is to contribute to the field of nondestructive testing by eddy currents. We provide a mathematical analysis and a numerical framework for simulating the ima…
Regularity dependence of the rate of convergence of the learning curve for Gaussian process regression
Loic Le Gratiet, Josselin Garnier
This paper deals with the speed of convergence of the learning curve in a Gaussian process regression framework. The learning curve describes the average generalization error of th…