In this section, we demonstrate that the imposition of linearity on our error model E leads to a richer theory of persistence. ... Put R = dE(f, g) and S = dE(g, h) and fix a point x a X. Then using the triangle inequality for the standard metric in IR, we find |f(x) a h(x)| ... Persistent Homology under Non-uniform Error 21 Linear Error.

Title | : | Mathematical Foundations of Computer Science 2010 |

Author | : | Petr Hlineny, Antonin Kucera |

Publisher | : | Springer - 2010-08-14 |

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