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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
"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)
"An optimal Markovian quantization algorithm for multidimensional stochastic control problems",
Stochastics and Dynamics, vol. 4(4), pp. 501-545, 2004.
Abstract
"Optimal quantization methods for nonlinear filtering with discrete-time observations",
Bernoulli, vol. 11(5), 2005.
Abstract
"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 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
"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