On the Estimation of the Gradient Lines of a Density and the Consistency of the Mean-Shift Algorithm
Ery Arias-Castro, David Mason, Bruno Pelletier; 17(43):1−28, 2016.
We consider the problem of estimating the gradient lines of a density, which can be used to cluster points sampled from that density, for example via the mean-shift algorithm of Fukunaga and Hostetler (1975). We prove general convergence bounds that we then specialize to kernel density estimation.
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