A gradient flow perspective on the quantization problem
Analysis of PDEs
2017-11-07 v1 Optimization and Control
Abstract
In this paper we review recent results by the author on the problem of quantization of measures. More precisely, we propose a dynamical approach, and we investigate it in dimensions 1 and 2. Moreover, we discuss a recent general result on the static problem on arbitrary Riemannian manifolds.
Cite
@article{arxiv.1711.01652,
title = {A gradient flow perspective on the quantization problem},
author = {Mikaela Iacobelli},
journal= {arXiv preprint arXiv:1711.01652},
year = {2017}
}
Comments
17 pages, 7 figures, proceedings for the Indam Workshop "PDE models for multi-agent phenomena" held in Rome, Italy, 28 November - 2 December 2016