Výsledky vyhledávání - "Kasanický, Ivan"

Dissertation/ Thesis

Ensemblový Kalmanův filtr na prostorech velké a nekonečné dimenze

Autor: Kasanický, Ivan

Title: Ensemble Kalman filter on high and infinite dimensional spaces Author: Mgr. Ivan Kasanický Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Daniel Hlubinka, Ph.D., Department of Probability and Mathemat

Externí odkaz: http://www.nusl.cz/ntk/nusl-357742

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Report

On well-posedness of Bayesian data assimilation and inverse problems in Hilbert space

Autor: Kasanický, Ivan, Mandel, Jan

Bayesian inverse problem on an infinite dimensional separable Hilbert space with the whole state observed is well posed when the prior state distribution is a Gaussian probability measure and the data error covariance is a cylindric Gaussian measure

Externí odkaz: http://arxiv.org/abs/1701.08298

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Dissertation/ Thesis

Funkcionální data a analýza jejich hlavních komponent

Autor: Kasanický, Ivan

Presented thesis deals with analysis of functional data. In the first part, problem which arises because of only finite possible numbers of observations is discussed. This problem is solved using representation by basis functions with emphasis on B-s

Externí odkaz: http://www.nusl.cz/ntk/nusl-298773

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Report

Spectral diagonal ensemble Kalman filters

Autor: Kasanický, Ivan, Mandel, Jan, Vejmelka, Martin

Publikováno v: Nonlinear Processes in Geophysics, 22, 485-497, 2015

A new type of ensemble Kalman filter is developed, which is based on replacing the sample covariance in the analysis step by its diagonal in a spectral basis. It is proved that this technique improves the aproximation of the covariance when the covar

Externí odkaz: http://arxiv.org/abs/1501.00219

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