Ebook: Persistence theory: from quiver representations to data analysis
Author: Oudot Steve Y
- Tags: Algebraic topology, Homology theory, Statistics -- Data analysis, Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes, Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets, Computer science -- Computing methodologies and applications -- Computer graphics, computational geometry
- Series: AMS Mathematical Surveys and Monographs 209
- Year: 2015
- Publisher: American Mathematical Society
- Language: English
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"Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into theRead more...
Abstract:
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of persistence theory, including itsRead more...
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