A. N. Bondarenko, T. V. Bugueva, V. A. Dedok, “Inverse problems of anomalous diffusion theory: the artificial neural network approach”, Sib. Zh. Ind. Mat., 2016, Volume 19, Number 3,Pages <nobr>3

This article is cited in 15 papers

Inverse problems of anomalous diffusion theory: the artificial neural network approach

A. N. Bondarenko^a, T. V. Bugueva^ab, V. A. Dedok^a

^a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk

Abstract: We present the results of the computer modeling of the work of a three-layer perceptron trained to solve inverse problems of anomalous diffusion theory. Several types of inverse problems are considered including the recovery of the Hurst exponent of a self-similar medium.

Keywords: anomalous diffusion, inverse problem, artificial neural network.

UDC: 517.958

Received: 02.09.2015

DOI: 10.17377/sibjim.2016.19.301