About: On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data

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About: On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://jornadas.imm.upv.es/Modelling2014
Description	Two methods for solving an ill-posed inverse problem based on Fickian diffusion equation and spatio-temporal data from FRAP measurements are presented. The most usual method is the Tikhonov regularization. In our specific problem we have detected difficulties residing in determination of the optimal regularization parameter. Hence, an equivalent method based on least squares with a quadratic constraint regularization is proposed. This latter approach naturally takes into account the noise level in the data and corresponds to the Morozov's discrepancy principle as well. Two methods for solving an ill-posed inverse problem based on Fickian diffusion equation and spatio-temporal data from FRAP measurements are presented. The most usual method is the Tikhonov regularization. In our specific problem we have detected difficulties residing in determination of the optimal regularization parameter. Hence, an equivalent method based on least squares with a quadratic constraint regularization is proposed. This latter approach naturally takes into account the noise level in the data and corresponds to the Morozov's discrepancy principle as well. (en)
Title	On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data (en)
skos:prefLabel	On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data On the Connection and Equivalence of Two Methods for Solving an Ill-Posed Inverse Problem Based on FRAP Data (en)
skos:notation	RIV/67985807:_____/14:00442759!RIV15-AV0-67985807
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Matonoha, Ctirad
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	34413
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/14:00442759
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	inverse problem; parameter identification; Tikhonov regularization; optimization; least squares with a quadratic constraint; L-curve; FRAP (en)
http://linked.open.../riv/klicoveSlovo	parameter identification optimization FRAP Tikhonov regularization L-curve least squares with a quadratic constraint inverse problem
http://linked.open...ontrolniKodProRIV	[A986C3E04755]
http://linked.open...v/mistoKonaniAkce	Valencia
http://linked.open...i/riv/mistoVydani	Valencia
http://linked.open...i/riv/nazevZdroje	Modelling for Engineering and Human Behaviour 2014
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Matonoha, Ctirad Papáček, Š.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2014-09-03 (xsd:date)
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Universitat Politecnica de Valencia
https://schema.org/isbn	978-84-606-5746-0

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