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- W2554681296 abstract "Approximations of Laplace-Beltrami operators on manifolds through graph Lapla-cians have become popular tools in data analysis and machine learning. These discretized operators usually depend on bandwidth parameters whose tuning remains a theoretical and practical problem. In this paper, we address this problem for the unnormalized graph Laplacian by establishing an oracle inequality that opens the door to a well-founded data-driven procedure for the bandwidth selection. Our approach relies on recent results by Lacour and Massart [LM15] on the so-called Lepski's method." @default.
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- W2554681296 date "2016-12-01" @default.
- W2554681296 modified "2023-10-15" @default.
- W2554681296 title "Data driven estimation of Laplace-Beltrami operator" @default.
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