Convergence of a Steepest Descent Algorithm for Ratio Cut Clustering
Optimization and Control
2012-05-01 v1
Abstract
Unsupervised clustering of scattered, noisy and high-dimensional data points is an important and difficult problem. Tight continuous relaxations of balanced cut problems have recently been shown to provide excellent clustering results. In this paper, we present an explicit-implicit gradient flow scheme for the relaxed ratio cut problem, and prove that the algorithm converges to a critical point of the energy. We also show the efficiency of the proposed algorithm on the two moons dataset.
Cite
@article{arxiv.1204.6545,
title = {Convergence of a Steepest Descent Algorithm for Ratio Cut Clustering},
author = {Xavier Bresson and Thomas Laurent and David Uminsky and James H. von Brecht},
journal= {arXiv preprint arXiv:1204.6545},
year = {2012}
}