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CORR
2006
Springer
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13 years 11 months ago
Graph Laplacians and their convergence on random neighborhood graphs
Given a sample from a probability measure with support on a submanifold in Euclidean space one can construct a neighborhood graph which can be seen as an approximation of the subm...
Matthias Hein, Jean-Yves Audibert, Ulrike von Luxb...
DCG
2008
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13 years 11 months ago
Finding the Homology of Submanifolds with High Confidence from Random Samples
Recently there has been a lot of interest in geometrically motivated approaches to data analysis in high dimensional spaces. We consider the case where data is drawn from sampling...
Partha Niyogi, Stephen Smale, Shmuel Weinberger