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master's thesis
Model Gaussove mješavine i algoritam maksimizacije očekivanja
2023. urn:nbn:hr:166:214122
Vuknić, Andrea
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Vuknić, A. (2023). Model Gaussove mješavine i algoritam maksimizacije očekivanja (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:214122

Vuknić, Andrea. "Model Gaussove mješavine i algoritam maksimizacije očekivanja." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:214122

Vuknić, Andrea. "Model Gaussove mješavine i algoritam maksimizacije očekivanja." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:214122

Vuknić, A. (2023). 'Model Gaussove mješavine i algoritam maksimizacije očekivanja', Master's thesis, University of Split, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:214122

Vuknić A. Model Gaussove mješavine i algoritam maksimizacije očekivanja [Master's thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:166:214122

A. Vuknić, "Model Gaussove mješavine i algoritam maksimizacije očekivanja", Master's thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:214122

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Metadata
TitleModel Gaussove mješavine i algoritam maksimizacije očekivanja
Title (english)Gaussian mixture model and expectation-maximization algorithm
AuthorAndrea Vuknić
MentorIvo Ugrina (mentor)
Committee memberIvo Ugrina (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberGoran Erceg (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2023-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Definiran je model konačne mješavine s naglaskom na model Gaussove mješavine te predstavljen problem procjene parametara takvih modela kao i rješavanje istog putem algoritma maksimizacije očekivanja. U tu svrhu, prvo su definirani potrebni pojmovi iz teorije vjerojatnosti. Na kraju je dan opis općeg algoritma maksimizacije očekivanja te analiza njegove monotonosti i konvergencije.
Abstract (english)
The finite mixture model with a focus on the Gaussian mixture model is defined, and the problem of estimating the parameters of such models is presented, along with its solution through the Expectation-Maximization (EM) algorithm. To achieve this, the necessary concepts from probability theory are defined first. In the end, a description of the general EM algorithm is provided, along with an analysis of its monotonicity and convergence.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:214122
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2023-10-03 13:04:41