عنوان
پدید آورنده
موضوع
رده
QA491 .B5995 2018
QA491
.
B5995
2018
کتابخانه
محل استقرار
1108297803
9781108297806
1108410898
1108419399
9781108410892
9781108419390
Geometric and topological inference /
[Book]
Jean-Daniel Boissonnat, INRIA Sophia Antipolis ; Frédéric Chazal, Inria Saclay-Ile-de-France ; Mariette Yvinec, INRIA Sophia Antipolis.
Cambridge :
Cambridge University Press,
2018.
©2018
1 online resource (xii, 233 pages) :
illustrations
Cambridge texts in applied mathematics ;
57
Includes bibliographical references (pages 224-230) and index.
Topological spaces -- Simplicial complexes -- Convex polytopes -- Delaunay complexes -- Good triangulations -- Delaunay filtrations -- Triangulation of submanifolds -- Reconstruction of submanifolds -- Stability of distance functions -- Distance to probability measures -- Homology inference.
0
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.
Geometric and topological inference.
9781108419390
Geometric analysis.
Pattern perception.
Shapes-- Mathematical models.
Topology.
Geometric analysis.
Pattern perception.
Topology.
514/
.
2
23
QA491
.
B5995
2018
Boissonnat, J.-D., (Jean-Daniel),1953-
Chazal, Frédéric,1971-
Yvinec, Mariette,1953-
20200822150700.0
pn
مطالعه متن کتاب [Book]
Y
