arXiv subjects

David Coufal

Publications and source records attributed to David Coufal.

2 recordsLinked to original sources

arXiv2015

Radial Fuzzy Systems

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is called the radial property. It enables the radial fuzzy systems to have their computational model mathematically tractable under both conjunctive and implicative representations of their rule bases. Coherence of radial implicative fuzzy systems is discussed and a sufficient condition for coherence is stated.

eess.SY↗

arXiv2014

Kernel density estimates in particle filter

The paper deals with kernel density estimates of filtering densities in the particle filter. The convergence of the estimates is investigated by means of Fourier analysis. It is shown that the estimates converge to the theoretical filtering densities in the mean integrated squared error under a certain assumption on the Sobolev character of the filtering densities. A sufficient condition is presented for the persistence of this Sobolev character over time. Both results are extended to partial derivatives of the estimates and filtering densities.

stat.CO↗