23 citations · 23 across the 3 of their papers we have counts for
6 papers
Numerical analysis of least squares and perceptron learning for classification problems
L. Beilina
This work presents study on regularized and non-regularized versions of perceptron learning and least squares algorithms for classification problems. Fr'echet derivatives for regul…
Time-adaptive optimization in a parameter identification problem of HIV infection
L. Beilina, I. Gainova
The paper considers a time-adaptive method for determination of drug efficacy in a parameter identification problem (PIP) for system of ordinary differential equations (ODE) which…
Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
L. Beilina, M. Cristofol, S. Li +1
We consider an inverse problem of reconstructing two spatially varying coefficients in an acoustic equation of hyperbolic type using interior data of solutions with suitable choice…
Reconstruction of annular bi-layered media in cylindrical waveguide section
Anders Eriksson, Truls Martin Larsen, Larisa Beilina
A radial transverse resonance model for two cylindrical concentric layers with different complex dielectric constants is presented. An inverse problem with four unknowns - 3 physic…
The adaptivity refines approximate solutions of ill-posed problems due to the relaxation property
Larisa Beilina, Michael V. Klibanov
Adaptive Finite Element Method (adaptivity) is known to be an effective numerical tool for some ill-posed problems. The key advantage of the adaptivity is the image improvement wit…
A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
Larisa Beilina, Michael V. Klibanov
An approximately globally convergent numerical method for a 3d Coefficient Inverse Problem for a hyperbolic equation with backscattering data is presented. A new approximate mathem…