Comparison of persistent homologies for vector functions: From continuous to discrete and back
نویسندگان
چکیده
منابع مشابه
Comparison of Persistent Homologies for Vector Functions: from continuous to discrete and back
The theory of multidimensional persistent homology was initially developed in the discrete setting, and involved the study of simplicial complexes filtered through an ordering of the simplices. Later, stability properties of multidimensional persistence have been proved to hold when topological spaces are filtered by continuous functions, i.e. for continuous data. This paper aims to provide a b...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2013
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2013.06.004