{"product_id":"geometric-and-topological-inference-hardback-9781108419391","title":"Geometric and Topological Inference (Hardback) 9781108419390","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeometric and Topological Inference\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJean-Daniel Boissonnat (Author), Frédéric Chazal (Author), Mariette Yvinec (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108419390, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 27 September 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e246 pages\u003cbr\u003e23.6 x 15.7 x 1.8 cm, 0.47 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… 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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eGeometric 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Topological Preliminaries: 1. Topological spaces\u003cbr\u003e 2. Simplicial complexes\u003cbr\u003e Part II. Delaunay Complexes: 3. Convex polytopes\u003cbr\u003e 4. Delaunay complexes\u003cbr\u003e 5. Good triangulations\u003cbr\u003e 6. Delaunay filtrations\u003cbr\u003e Part III. Reconstruction of Smooth Submanifolds: 7. Triangulation of submanifolds\u003cbr\u003e 8. Reconstruction of submanifolds\u003cbr\u003e Part IV. Distance-Based Inference: 9. Stability of distance functions\u003cbr\u003e 10. Distance to probability measures\u003cbr\u003e 11. Homology inference.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical theory of computation [\u003ca title=\"See our other books on Mathematical theory of computation\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20theory%20of%20computation%20%5BUYA%5D%22\"\u003eUYA\u003c\/a\u003e], Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e], Data analysis: general [\u003ca title=\"See our other books on Data analysis: general\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Data%20analysis:%20general%20%5BGPH%5D%22\"\u003eGPH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46266354336024,"sku":"9781108419390","price":51.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108419390i_8e87bb4c-adcc-409c-8035-2dad798b85be.jpg?v=1696754022","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/geometric-and-topological-inference-hardback-9781108419391","provider":"Freshly Printed Books","version":"1.0","type":"link"}