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Geometric and Topological Inference
Jean-Daniel Boissonnat
Frédéric Chazal
Mariette Yvinec
出版
Cambridge University Press
, 2018-09-27
主題
Computers / General
Language Arts & Disciplines / Library & Information Science / General
Mathematics / General
Mathematics / Discrete Mathematics
Mathematics / Geometry / General
Mathematics / Topology
Psychology / Cognitive Psychology & Cognition
ISBN
1108419399
9781108419390
URL
http://books.google.com.hk/books?id=0rBoDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.