7 citations · 8 across the 9 of their papers we have counts for
4 papers · 1 filter
A Carleman Semi-Discrete Convexification Method Combined With Deep Learning for Electrical Impedance Tomography
Michael V. Klibanov, Kirill V. Golubnichiy, Benjamin Jiang
In this paper, a new semi-discrete version of the Carleman estimate-based convexification globally convergent numerical method is developed. It is used for the delivery of the star…
Corruption via Mean Field Games
Michael V. Klibanov, Mikhail Yu. Kokurin, Kirill V. Golubnichiy
A new mathematical model governing the development of a corrupted hierarchy is derived. This model is based on the Mean Field Games theory. A retrospective problem for that model i…
Application of Neural Network Machine Learning to Solution of Black-Scholes Equation
Mikhail V. Klibanov, Kirill V. Golubnichiy, Andrey V. Nikitin
This paper presents a novel way to predict options price for one day in advance, utilizing the method of Quasi-Reversibility for solving the Black-Scholes equation. The Black-Schol…
Inverse problems for the nonlinear modified transfer equation
Kirill V. Golubnichiy
This article is devoted to inverse problems for nonlinear equations of the modified transfer, which can be regarded as a manageable problem. Various productions such problems for n…