*Result*: Topological Derivative and Training Neural Networks for Inverse Problems.
Title:
Topological Derivative and Training Neural Networks for Inverse Problems.
Authors:
Source:
Artificial Neural Networks: Biological Inspirations - ICANN 2005 (9783540287551). 2005, p391-396. 6p.
Database:
Supplemental Index
*Further Information*
*We consider the problem of locating small openings inside the domain of definition of elliptic equation using as the observation data the values of finite number of integral functionals. Application of neural networks requires a great number of training sets. The approximation of these functionals by means of topological derivative allows to generate training data very quickly. The results of computations for 2D examples show, that the method allows to determine an approximation of the global solution to the inverse problem, sufficiently closed to the exact solution. [ABSTRACT FROM AUTHOR]*