## 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.

### Abstract

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.

© JMLR 2016. |