3 papers
math.NA2026
Quantitative synthetic aperture radar inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We study an inverse scattering problem for monostatic synthetic aperture radar (SAR): Estimate the wave speed in a heterogeneous, isotropic and nonmagnetic medium probed by waves e…
math.NA2025
Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…
math.ST2025
General reproducing properties in RKHS with application to derivative and integral operators
Fatima-Zahrae El-Boukkouri, Josselin Garnier, Olivier Roustant
In this paper, we consider the reproducing property in Reproducing Kernel Hilbert Spaces (RKHS). We establish a reproducing property for the closure of the class of combinations of…