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master's thesis
Skriveni Markovljevi modeli i primjene
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:731360
Bauman, Tessa
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bauman, T. (2020). Skriveni Markovljevi modeli i primjene (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:731360

Bauman, Tessa. "Skriveni Markovljevi modeli i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:731360

Bauman, Tessa. "Skriveni Markovljevi modeli i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:731360

Bauman, T. (2020). 'Skriveni Markovljevi modeli i primjene', Master's thesis, University of Zagreb, Faculty of Science, accessed 27 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:731360

Bauman T. Skriveni Markovljevi modeli i primjene [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 November 27] Available at: https://urn.nsk.hr/urn:nbn:hr:217:731360

T. Bauman, "Skriveni Markovljevi modeli i primjene", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:731360

Metadata
TitleSkriveni Markovljevi modeli i primjene
Title (english)Hidden Markov models and applications
AuthorTessa Bauman
MentorBojan Basrak (mentor)
Committee memberBojan Basrak (predsjednik povjerenstva)
Committee memberPavle Goldstein (član povjerenstva)
Committee memberSnježana Lubura Strunjak (član povjerenstva)
Committee memberRudi Mrazović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-11-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu su obrađeni skriveni Markovljevi modeli s diskretnim skupom stanja i diskretnim skupom opažanja. Uvedena je formalna definicija te su zatim objašnjeni glavni problemi modela. Opisana su njihova rješenja i algoritmi pomoću kojih dolazimo do istih. Pomoću primjera nepoštenog kasina i jednostavnog primjera iz bioinformatike pokazana je inicijalizacija modela, simulacija niza opažanja te upotreba Viterbijevog i Baum- Welchovog algoritma koristeći programski jezik R. Provedena je i primjena modela za raspoznavanje razlike izmedu teksta i koda te zaključak o modelu i njegovim primjenama.
Abstract (english)
This thesis starts with an introduction to Markov Chains which is followed by a formal definition of Hidden Markov models with discrete state and discrete observation space. The three main problems and their solutions are described along with an algorithm for each. The example of Dishonest Casino and a simple bioinformatics application are used to show the model initialization, sequence simulation and usage of Viterbi and Baum- Welch algorithms in the programming language R. An application in text analysis is also showed in this thesis leading to a conclusion on Hidden Markov models and their usage
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:731360
Study programmeTitle: Finance and Business Mathematics
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 on2021-02-22 11:36:23