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Topology and Data

Brekke, Birger
Master thesis
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URI
http://hdl.handle.net/11250/258562
Date
2010
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  • Institutt for matematiske fag [1395]
Abstract
In the last years, there has been done research in using topology as a new tool for studying data sets, typically high dimensional data. These studies have brought new methods for qualitative analysis, simplification, and visualization of high dimensional data sets. One good example, where these methods are useful, is in the study of microarray data (DNA data). To be able to use these methods, one needs to acquire knowledge of different topics in topology. In this paper we introduce simplicial homology, persistent homology, Mapper, and some simplicial complex constructions.
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Institutt for matematiske fag

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