Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 514.2 BOI (Browse shelf) | Checked out | 10/10/2024 | 032694 |
514 ZOU Critical point theory and its applications | 514.09 RIC Euler's gem : the polyhedron formula and the birth of topology | 514.2 BAA Algebraic topology : the abel symposium 2007 | 514.2 BOI Geometric and topological inference | 514.2 BRE Topology and geometry | 514.2 GIB Graphs, surfaces and homology | 514.2 HAT Algebraic topology |
Includes bibliographical references and index.
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.
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