Research focus of Department of Theoretical Methods

Scientific research is focused on the development of theoretical methods in the field of mathematical statistics and applied mathematics, especially the problems of measurement process and evaluation of measured data:

  • research of linear and nonlinear regression models with complex covariance structure
  • design of models and methods for analyzing measurement results, including methods for determining their uncertainties
  • research of statistical and metrological intervals (statistical prediction intervals, confidence intervals, and tolerance intervals, respectively metrological coverage intervals)
  • research of calibration models and methods for analyzing results of interlaboratory comparisons
  • research on probability distributions determined by combining information from independent sources
  • theoretical research of statistical parametric and non-parametric methods for biomedical and technical applications
  • research in applied statistics and machine learning methods in EEG processing and analysis
  • methods of nonlinear dynamics in signal processing and time series analysis; applications for complex manifestations of biological systems (ECG, EEG) – reconstruction of state portraits, noise reduction, modeling, prediction, classification
  • causality detection from measured time series
  • investigation of complex systems using characteristics known from the theory of chaos and fractals
  • application of machine learning methods and self-organizing neural and other intelligent networks to prediction and classification of time series and signals, especially in biomedicine
  • basic and experimental research in the field of cognitive and computational neuroscience
  • research in the use of brain-computer interface and virtual reality for neurorehabilitation of the paretic limb
  • application of digital image analysis methods in optical microscopy (eg, cell structures) and pattern recognition methods
  • development of methods for measurement and analysis of biological effects of electromagnetic fields