Induced matchings and the algebraic stability of persistence barcodes
<span>$\DeclareMathOperator{\ker}{ker}\DeclareMathOperator{\coker}{coker}$We define a simple, explicit map sending a morphism $f\colon M\to N$ of pointwise finite dimensional persistence modules to a matching between the barcodes of $M$ and $N$. Our main result is that, in a precise sense, the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Carleton University
2015-03-01
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| Series: | Journal of Computational Geometry |
| Online Access: | http://jocg.org/index.php/jocg/article/view/205 |