Some methods of solving inverse incorrect problems in a physical experiment

In this paper, some mathematical methods for processing and interpreting data obtained from a physical experiment are considered. These methods have been developed at the Department of Optics and Nanophotonics of Kazan Federal University. They are based on the use of knowledge about signal structure fractal characteristics, neural network, wavelet transform analysis and wavelet-based derivative spectrometry, genetic algorithms, and wavelet bispectra. The methods under study are suitable for solving many inverse incorrect problems of a physical experiment.