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Publications
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"On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces",
Journal of Theoretical Probability, vol. 16(1), 2003.
Abstract
"An optimal Markovian quantization algorithm for multidimensional stochastic control problems",
Stochastics and Dynamics, vol. 4(4), pp. 501-545, 2004.
Abstract
"Optimal quadratic quantization for numerics: the Gaussian case",
Monte Carlo Methods and Applications, vol. 9, pp. 135–166, 2003.
Abstract
Download: Gaussian Case.pdf (563.34 KB)
"Optimal quantization : evolutionary algorithm vs stochastic gradient",
Proceedings of the 9th Joint Conference on Information Sciences: Atlantic Press, 2006.
Abstract
Download: Evolutionary-Algorithms.pdf (195.2 KB)
"Optimal quantization for Finance: from random vectors to stochastic processes",
Handbook of Numerical Analysis, vol. 15, 2008.
Abstract
Download: Handbook_2008_Quantization_in_finance.pdf (478.77 KB)
"Optimal quantization for the pricing of swing options",
Applied Mathematical Finance, vol. 16, issue 2, pp. 183-217, 2009.
Abstract
"Optimal quantization methods for nonlinear filtering with discrete-time observations",
Bernoulli, vol. 11(5), 2005.
Abstract
"Optimal quantizers for Radon random vectors in a Banach space",
J. Approx. Theory, vol. 144, no. 1, Orlando, FL, USA, Academic Press, Inc., pp. 27–53, 2007.
Abstract