An Efficient and Continuous Voronoi Density Estimator
Methodology
2023-02-08 v2 Computational Geometry
Abstract
We introduce a non-parametric density estimator deemed Radial Voronoi Density Estimator (RVDE). RVDE is grounded in the geometry of Voronoi tessellations and as such benefits from local geometric adaptiveness and broad convergence properties. Due to its radial definition RVDE is continuous and computable in linear time with respect to the dataset size. This amends for the main shortcomings of previously studied VDEs, which are highly discontinuous and computationally expensive. We provide a theoretical study of the modes of RVDE as well as an empirical investigation of its performance on high-dimensional data. Results show that RVDE outperforms other non-parametric density estimators, including recently introduced VDEs.
Cite
@article{arxiv.2210.03964,
title = {An Efficient and Continuous Voronoi Density Estimator},
author = {Giovanni Luca Marchetti and Vladislav Polianskii and Anastasiia Varava and Florian T. Pokorny and Danica Kragic},
journal= {arXiv preprint arXiv:2210.03964},
year = {2023}
}
Comments
13 pages