کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473745 698810 2010 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coreduction homology algorithm for inclusions and persistent homology
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Coreduction homology algorithm for inclusions and persistent homology
چکیده انگلیسی

We present an algorithm for computing the homology of inclusion maps which is based on the idea of coreductions and leads to significant speed improvements over current algorithms. It is shown that this algorithm can be extended to compute both persistent homology and an extension of the persistence concept to two-sided filtrations. In addition to describing the theoretical background, we present results of numerical experiments, as well as several applications to concrete problems in materials science.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 10, November 2010, Pages 2812–2833
نویسندگان
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