Geometric and Topological Inference

ISBN-13: 9781108419390 / Angielski / Twarda / 2018 / 246 str.

Jean-Daniel Boissonnat; Frederic Chazal; Mariette Yvinec

Opis

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

Recenzje

'… it is clear that this book addresses issues that are likely to be of some interest to budding researchers. I suspect that it provides them with as accessible an introduction to this material as is currently available.' Mark Hunacek, The Mathematical Gazette

Spis treści

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.