Jean-Daniel Boissonnat,
Frédéric Chazal,
Frederic Chazal,
Mariette Yvinec
e.a.
Geometric and Topological Inference
Gebonden Engels 2018 9781108419390
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781108419390
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:246
Uitgever:Cambridge University Press
Serie:Cambridge Texts in A
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
Inhoudsopgave
Part I. Topological Preliminaries: 1. Topological spaces; 2. Simplicial complexes; Part II. Delaunay Complexes: 3. Convex polytopes; 4. Delaunay complexes; 5. Good triangulations; 6. Delaunay filtrations; Part III. Reconstruction of Smooth Submanifolds: 7. Triangulation of submanifolds; 8. Reconstruction of submanifolds; Part IV. Distance-Based Inference: 9. Stability of distance functions; 10. Distance to probability measures; 11. Homology inference.
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