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A topological approach to data visualization
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2015 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Ett topologiskt tillvägagångssätt för datavisualisering (Swedish)
Abstract [en]

Barcoding is a mathematical tool, to analyze data, which is based on the theory of persistent homology. In this thesis both Hierarchical Clustering and Barcoding are defined and analyzed according to three criterion: Continuity, Computability and Visualizability. It is also presented how the two methods, barcoding and hierarchical clustering, are connected and why barcoding, in some cases, is a generalized method of hierarchical clustering. Lastly some more question of interest, for better understanding barcoding, are stated.

Abstract [sv]

Barcoding är ett matematiskt verktyg, för att analysera data, vilket bygger på teorin om ihållande homologi. I den här uppsatsen år både Hierarkisk Klustring och Barcoding definierade och analyserade med avseende på tre kriterier: Kontinuitet, Beräkningsbarhet och Visualiserbarhet. Det presenteras även hur de två metoderna, barcoding och hierarkisk klustring, är sammanlänkade och varför barcoding, i vissa fall, är en generaliserad metod av hierarkisk klustring. Tillsist är några fler frågor av intresse, för att bättre förstå barcoding, presenterad. 

Place, publisher, year, edition, pages
2015.
Series
TRITA-MAT-E, 2015:43
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-169569OAI: oai:DiVA.org:kth-169569DiVA: diva2:822466
Subject / course
Mathematics
Educational program
Master of Science - Mathematics
Supervisors
Examiners
Available from: 2015-06-20 Created: 2015-06-16 Last updated: 2015-06-20Bibliographically approved

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fulltext(670 kB)178 downloads
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