Bogdan Łobodziński

Bogdan Łobodziński

A new unsupervised predictive maintenance analysis method based on the renormalization group approach used to discover critical behavior in complex systems has been proposed. The algorithm analyzes univariate time series and detects critical points based on a newly proposed theorem that identifies critical points using a Log Periodic Power Law function fits. Application of a new algorithm for predictive maintenance analysis of industrial data collected from reciprocating compressor systems is presented. Based on the knowledge of the dynamics of the analyzed compressor system, the proposed algorithm predicts valve and piston rod seal failures well in advance.

Bogdan Łobodziński

The distances between words calculated in word units are studied and compared with the distributions of the Random Matrix Theory (RMT). It is found that the distribution of distance between the same words can be well described by the single-parameter Brody distribution. Using the Brody distribution fit, we found that the distance between given words in a set of texts can show mixed dynamics, coexisting regular and chaotic regimes. It is found that distributions correctly fitted by the Brody distribution with a certain goodness of the fit threshold can be identifid as stop words, usually considered as the uninformative part of the text. By applying various threshold values for the goodness of fit, we can extract uninformative words from the texts under analysis to the desired extent. On this basis we formulate a fully agnostic recipe that can be used in the creation of a customized set of stop words for texts in any language based on words.