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Persistence Theory: From Quiver Representations to Data Analysis
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Type: BOOK - Published: 2017-05-17 - Publisher: American Mathematical Soc.

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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 t
The Structure and Stability of Persistence Modules
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This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure
Topological Persistence in Geometry and Analysis
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The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a conc
Computational Topology for Data Analysis
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Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies
Algebraic Foundations for Applied Topology and Data Analysis
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This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topics at levels of sophistication varying f