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In this article, the so-called "Nystr\"om method" is tested to computeoptimal quantizers of Gaussian processes. In particular, we derive the optimalquantization of the fractional Brownian motion by approximating the first termsof its Karhunen-Lo\`eve decomposition. A numerical test of the "functionalstratification" variance reduction algorithm is performed with the fractionalBrownian motion.

The Nystr\"om method for functional quantization with an application to the fractional Brownian motion