Title: Comparative analysis of criteria for filtering time series of word usage frequencies,
Abstract: This paper describes a method of nonlinear wavelet thresholding of time
series. The Ramachandran-Ranganathan runs test is used to assess the quality of
approximation. To minimize the objective function, it is proposed to use
genetic algorithms - one of the stochastic optimization methods. The suggested
method is tested both on the model series and on the word frequency series
using the Google Books Ngram data. It is shown that method of filtering which
uses the runs criterion shows significantly better results compared with the
standard wavelet thresholding. The method can be used when quality of filtering
is of primary importance but not the speed of calculations.