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undergraduate thesis
Algoritam maksimizacije očekivanja za eksponencijalne familije
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2023. urn:nbn:hr:168:499116
Radić, Magda
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Radić, M. (2023). Algoritam maksimizacije očekivanja za eksponencijalne familije (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:499116

Radić, Magda. "Algoritam maksimizacije očekivanja za eksponencijalne familije." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2023. https://urn.nsk.hr/urn:nbn:hr:168:499116

Radić, Magda. "Algoritam maksimizacije očekivanja za eksponencijalne familije." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2023. https://urn.nsk.hr/urn:nbn:hr:168:499116

Radić, M. (2023). 'Algoritam maksimizacije očekivanja za eksponencijalne familije', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 24 August 2024, https://urn.nsk.hr/urn:nbn:hr:168:499116

Radić M. Algoritam maksimizacije očekivanja za eksponencijalne familije [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2023 [cited 2024 August 24] Available at: https://urn.nsk.hr/urn:nbn:hr:168:499116

M. Radić, "Algoritam maksimizacije očekivanja za eksponencijalne familije", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:168:499116

Metadata
TitleAlgoritam maksimizacije očekivanja za eksponencijalne familije
Title (english)Expectation maximization algorithm for exponential families
AuthorMagda Radić
MentorMario Bukal (mentor)
Committee memberMario Bukal (predsjednik povjerenstva)
Committee memberJosip Žubrinić (član povjerenstva)
Committee memberVlatko Crnković (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2023-07-12, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U svrhu analize teksta kao usmjerenog podatka, ovaj rad daje uvod u neke pojmove iz usmjerene statistike: von Mises-Fisherovu distribuciju (vMF) i konveksnu kombinaciju von Mises-Fisherovih distribucija(moVMF). Nadalje se definiraju procjenitelji parametara vMF distribucije temeljeni na metodi najveće vjerodostojnosti. Potom se objašnjava algoritam maksmizacije očekivanja, te njegova implementacija na procjenu parametara konveksne kombinacije vMF distribucija. Konačno, implementacija se testira na programski generiranim podacima, i na skupu podataka generiranom iz stvarnih tekstova, uz kratak osvrt na rezultate.
Abstract (english)
For the purpose of analyzing text as directional data, this paper provides an introduction to some concepts from directional statistics: von Mises-Fisher distribution (vMF) and mixture of von Mises-Fisher distributions (moVMF). Furthermore, estimators of the parameters of the vMF distribution based on the Maximum Likelihood estimation are defined. The paper then presents the Expectation-Maximization algorithm, as well as its implementation to estimation the parameters of the mixture of vMF distributions. Finally, the implementation is tested on artificially generated data, as well as on a data set generated from real texts, with a brief overview of the results.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:499116
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 on2023-10-11 10:17:02