petek, 21. junij 2013 Seminar MARA

V sredo, 26. junija 2013, bo ob 16.00  uri v prostorih Fakultete za matematiko, naravoslovje in informacijske tehnologije Univerze na Primorskem, Glagoljaška 8, Koper predavanje v okviru skupnega SEMINARJA ZA MATEMATIČNE IN RAČUNALNIŠKE ZNANOSTI Oddelka za matematiko in Oddelka za Informacijske znanosti in tehnologije UP FAMNIT, Oddelka za matematiko in Oddelka za Informacijske znanosti in tehnologije UP IAM, Oddelka za matematiko in računalništvo UP PEF ter Oddelkov za matematiko in teoretično računalništvo IMFM.

RAČUNALNIŠKI SEMINAR - TOKRAT V SREDO

Prostor: FAMNIT-1-RU1 ob 16:00

Predavatelj: dr. Primož Škraba, Artificial Intelligence Laboratory, Jozef Stefan Institute

Naslov: Analyzing Dynamical Systems with Computational Topology

Povzetek:
Analyzing systems is a difficult problem that is often made much easier by a good choice of parametrization. A natural choice for dynamical systems is the mapping to the circle. This mapping can describe a variety of behaviour including (quasi)-periodicity and recurrence.  This talk will introduce a topological approach for
understanding dynamical systems from measurements.  Starting with a time series measurement of a dynamical system, using a pipeline based in the framework of computational topology, we can recover an astonishing amount of information about the system.  We begin by embedding the time series in a higher dimension and use persistent cohomology to construct a natural parameterization which makes further analysis much easier. I will discuss the individual components of the pipeline as well as show results on several examples of synthetic and real data.

Vabljeni!