Geometric and topological inference

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic foundations of the rapidly evolving field of topological...

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Bibliographic Details
Main Authors: Boissonnat, J.-D., Chazal, Frédéric (Author), Yvinec, Mariette (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2018
Series:Cambridge texts in applied mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Description
Summary:Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic foundations of the rapidly evolving field of topological data analysis. Building on a rigorous treatment of simplicial complexes and distance functions, this self-contained book covers key aspects of the field, from data representation and combinatorial questions to manifold reconstruction and persistent homology. It can serve as a textbook for graduate students or researchers in mathematics, computer science and engineering interested in a geometric approach to data science
Physical Description:xii, 233 pages0 digital
ISBN:9781108297806