The Nystr\"om method for functional quantization with an application to the fractional Brownian motion
Probability
2010-09-08 v1
Abstract
In this article, the so-called "Nystr\"om method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion by approximating the first terms of its Karhunen-Lo\`eve decomposition. A numerical test of the "functional stratification" variance reduction algorithm is performed with the fractional Brownian motion.
Keywords
Cite
@article{arxiv.1009.1241,
title = {The Nystr\"om method for functional quantization with an application to the fractional Brownian motion},
author = {Sylvain Corlay},
journal= {arXiv preprint arXiv:1009.1241},
year = {2010}
}