most citedApplication of machine learning regression models to inverse eigenvalue problems

14 citations · 14 across the 3 of their papers we have counts for

collaborators

5 papers

math.NA2025

Inverse Electromagnetic Scattering for Doubly-Connected Cylinders using Convolutional Neural Networks

Leonidas Mindrinos, Nikolaos Pallikarakis, Nikolaos L Tsitsas

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introdu…

math.NA2025

Neumann series of Bessel functions in direct and inverse spherically symmetric transmission eigenvalue problems

Vladislav V. Kravchenko, L. Estefania Murcia-Lozano, Nikolaos Pallikarakis

The transmission eigenvalue problem (TEP) plays a central role in inverse scattering theory. Despite substantial theoretical progress, the numerical solution of direct and inverse…

physics.geo-ph2025

Estimating properties of a homogeneous bounded soil using machine learning models

Konstantinos Kalimeris, Leonidas Mindrinos, Nikolaos Pallikarakis

This work focuses on estimating soil properties from water moisture measurements. We consider simulated data generated by solving the initial-boundary value problem governing verti…

math.NA2022★ 14 cited

Application of machine learning regression models to inverse eigenvalue problems

Nikolaos Pallikarakis, Andreas Ntargaras

In this work, we study the numerical solution of inverse eigenvalue problems from a machine learning perspective. Two different problems are considered: the inverse Strum-Liouville…

math.AP2022

Analysis of the transmission eigenvalue problem with two conductivity parameters

Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld +1

In this paper, we provide an analytical study of the transmission eigenvalue problem with two conductivity parameters. We will assume that the underlying physical model is given by…