Analysis of complex time series

PhD study program: Measurement Technology
Akademic year: 2018-2019
Advisor: RNDr. Anna Krakovská, CSc. (krakovska@savba.sk)
External educational institution: Institute of Measurement Science SAS
Accepting university: Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Institute of Electrical Engineering
Max. number of students: 1
Study language: Slovak/English

Annotation:
The essence of the topic proposal is a modern analysis of measured time series. The emphasis is on a multivariate causal analysis that looks for variables with the strongest impact. In practice, when measuring several observables of the system, the causality detection can help to select the signals that represent the most useful source of information. The main application area will be multichannel electroencephalographic records from the human brain. It turns out that the connectivity between the brain regions is a potentially useful tool for classifying different brain states, recognizing neurological disorders, or characterizing cognitive abilities. The thesis topic is suitable for a candidate with an interest in creative applications and design of the appropriate mathematical methods. Another requirement is knowledge of English and experience with software development and testing in the MatLab environment. During the study, the PhD. student will expand his/her knowledge in the field of biomeasurements and learn from the theory of dynamical systems, including chaos and fractals, and partly from statistics, information theory, and mathematical optimization.

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