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Cover: 9786207468270 | PERSISTENT HOMOLOGY AND PERSISTENT COHOMOLOGY : A REVIEW | Okediji
Rückseite: 9786207468270 | PERSISTENT HOMOLOGY AND PERSISTENT COHOMOLOGY : A REVIEW | Okediji
Cover: 9786207468270 | PERSISTENT HOMOLOGY AND PERSISTENT COHOMOLOGY : A REVIEW | Okediji
Rückseite: 9786207468270 | PERSISTENT HOMOLOGY AND PERSISTENT COHOMOLOGY : A REVIEW | Okediji
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PERSISTENT HOMOLOGY AND PERSISTENT COHOMOLOGY : A REVIEW
BEYOND DATA ANALYSIS, TOPOLOGICAL DATA ANALYSIS
Taschenbuch von Busayo Okediji
Sprache: Englisch

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Beschreibung
Persistent homology has become an important tool in non-linear data reduction. Its sister theory, Persistent cohomology, has attracted less attention in the past eventhough it has many advantages. We surveyed several literatures and present a summary of the status quo in persistent (co)homology covering the theory, computations, representations in terms of cycles (for persistent homology) and cocycles (for persistent cohomology), lens (quotient) space and their equivalence. Moreover, we computed the persistent homology and persistent cohomology for the 2 - sphere both manually and computationally (Using Ripserer). In both cases, same result was obtained, particularly in the computation of their barcodes much more that persistent cohomology is not only faster in computation than persistent homology, but also uses less memory in a little time.
Persistent homology has become an important tool in non-linear data reduction. Its sister theory, Persistent cohomology, has attracted less attention in the past eventhough it has many advantages. We surveyed several literatures and present a summary of the status quo in persistent (co)homology covering the theory, computations, representations in terms of cycles (for persistent homology) and cocycles (for persistent cohomology), lens (quotient) space and their equivalence. Moreover, we computed the persistent homology and persistent cohomology for the 2 - sphere both manually and computationally (Using Ripserer). In both cases, same result was obtained, particularly in the computation of their barcodes much more that persistent cohomology is not only faster in computation than persistent homology, but also uses less memory in a little time.
Über den Autor
I am an expert user of mathematics with proper mastery. I am passionate to build a career in a stable and challenging environment, with opportunity for growth and advancement and a tenacious approach to delivery and quality output. I am in love with different researches in Mathematics that have positive impacts and improve the world at large.
Details
Erscheinungsjahr: 2024
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9786207468270
ISBN-10: 6207468279
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Okediji, Busayo
Hersteller: LAP LAMBERT Academic Publishing
Verantwortliche Person für die EU: SIA OmniScriptum Publishing, Brivibas Gatve 197, ?-1039 Riga, customerservice@vdm-vsg.de
Maße: 220 x 150 x 8 mm
Von/Mit: Busayo Okediji
Erscheinungsdatum: 27.02.2024
Gewicht: 0,191 kg
Artikel-ID: 128793515
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