Finding the Homology of Submanifolds with High Confidence from Random Samples

Author:

Niyogi Partha,Smale Stephen,Weinberger Shmuel

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference20 articles.

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2. Amenta, N., Choi, S., Dey, T.K., Leekha, N.: A simple algorithm for homeomorphic surface reconstruction. Int. J. Comput. Geom. Appl. 12, 125–141 (2002)

3. Belkin, M., Niyogi, P.: Semisupervised learning on Riemannian manifolds. Mach. Learn. 56, 209–239 (2004)

4. Bjorner, A.: Topological methods. In: Graham, R., Grotschel, M., Lovasz, L. (eds.) Handbook of Combinatorics, pp. 1819–1872. North-Holland, Amsterdam (1995)

5. Chazal, F., Lieutier, A.: Weak feature size and persistent homology: computing homology of solids in ℝ n from noisy data samples. Preprint

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