On $\varepsilon $ approximations of persistence diagrams
نویسندگان
چکیده
منابع مشابه
$varepsilon$-Simultaneous approximations of downward sets
In this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice Banach spaces. Also, we give some results about simultaneous approximations of normal sets.
متن کامل$varepsilon$-simultaneous approximations of downward sets
in this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice banach spaces. also, we give some results about simultaneous approximations of normal sets.
متن کامل$varepsilon$-simultaneous approximations of downward sets
in this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice banach spaces. also, we give some results about simultaneous approximations of normal sets.
متن کاملPersistence Diagrams as Diagrams: A Categorification of the Stability Theorem
Persistent homology, a central tool of topological data analysis, provides invariants of data called barcodes (also known as persistence diagrams). A barcode is simply a multiset of real intervals. Recent work of Edelsbrunner, Jabłoński, and Mrozek suggests an equivalent description of barcodes as functors R → Mch, where R is the poset category of real numbers and Mch is the category whose obje...
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Persistent homology is a method for probing topological properties of point clouds and functions. The method involves tracking the birth and death of topological features as one varies a tuning parameter. Features with short lifetimes are informally considered to be “topological noise,” and those with a long lifetime are considered to be “topological signal.” In this paper, we bring some statis...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2016
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3137