prikaz prve stranice dokumenta Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata
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undergraduate thesis
Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. urn:nbn:hr:168:879178
Gulin, Luka
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Gulin, L. (2019). Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:879178

Gulin, Luka. "Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. https://urn.nsk.hr/urn:nbn:hr:168:879178

Gulin, Luka. "Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. https://urn.nsk.hr/urn:nbn:hr:168:879178

Gulin, L. (2019). 'Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:168:879178

Gulin L. Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2019 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:168:879178

L. Gulin, "Primjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:168:879178

Metadata
TitlePrimjena diferencijalne geometrije u prilagodbi nelinearnih modela metodom najmanjih kvadrata
Title (english)Application of differential geometry in nonlinear least squares problems
AuthorLuka Gulin
MentorSaša Ilijić (mentor)
Committee memberSaša Ilijić (predsjednik povjerenstva)
Committee memberAna Babić (član povjerenstva)
Committee memberMarko Sossich (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2019-03-01, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U uvodnom dijelu opisan je postupak prilagodbe linearnih modela te se kroz opis gradijentnog spusta, Gauss-Newtonove metode te Levenberg-Marquardtove metode napravila podloga za interpretaciju nelinearnih modela u okviru diferencijalne geometrije čije osnove su objašnjene na početku poglavlja. Nelinearni modeli prikazani su kao mnogostrukosti uronjene u podatkovnom prostoru te se objasnila korisnost geodetskih koordinata te način na koji se primjeni geodetska jednadžba u poboljšanju Levenberg-Marquardtovog algoritma.
Abstract (english)
Fitting of linear model was described in the introductory part and through description of gradient descent, Gauss-Newton method and Levenberg-Marquardt method groundwork was set to interpretation of nonlinear models in the framework of differential geometry whose basics were explained at the begining of its chapter. Nonlinear models were represented as manifolds embedded in data space and utlility of geodesic coordinates was shown as well as the way geodesic equation can be employed to improve Levenberg-Marquardt algorithm.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:879178
Study programmeTitle: Computing
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2019-03-13 20:44:08