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Publications
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"Asymptotically optimal quantization schemes for Gaussian processes",
ESAIM: PS, vol. 14, pp. 93 - 116, 2010.
Abstract
Convergence of distributed asynchronous learning vector quantization algorithms,
, 2010.
Abstract
Download: AsyncStochGradient.pdf (498.47 KB)
Convergence of multi-dimensional quantized SDE's,
, 2010.
Abstract
Download: Pages_Sellami_Quantized_SDE.pdf (356.05 KB)
CVaR hedging using quantization based stochastic approximation algorithm,
, 2010.
Abstract
Download: CVaR_hedging.pdf (369.08 KB)
"Fractal functional quantization of mean-regular stochastic processes",
Mathematical Proceedings of the Cambridge Philosophical Society, 2010.
Abstract
Functional quantization based stratified sampling methods,
, 2010.
Abstract
Download: functional_stratif.pdf (665.41 KB)
Intrinsic stationarity for vector quantization: Foundation of dual quantization,
, 2010.
Abstract
Download: Foundation of dual quantization.pdf (962.7 KB)
"Optimal quantization for the pricing of swing options",
Applied Mathematical Finance, vol. 16, issue 2, pp. 183-217, 2009.
Abstract
"Functional quantization rate and mean pathwise regularity of processes with an application to Lévy processes",
Annals of Applied Probability, vol. 18, pp. 427-469, 2008.
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 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
"Functional quantization of a class of Brownian diffusions: a constructive approach",
Stochastic Processes and their Applications, vol. 116, no. 2, pp. 310 - 336, 2006.
Abstract
"Pricing path-dependent options using optimized functional quantization",
Numerical Methods in Finance, 2006.
Download: Pricing Path Dependent Option Using Functional Quantization.pdf (762.71 KB)
"Quantization of probability distributions under norm-based distortion measures II: Self-similar distributions",
Journal of Mathematical Analysis and Applications, vol. 318, no. 2, pp. 507 - 516, 2006.
Abstract
"Approximation by quantization of the filter process and applications to optimal stopping problems under partial observation",
Monte Carlo methods and Applications, vol. 11(1), pp. 57-81, 2005.
Abstract
Download: Quantization filter process optimal stopping.pdf (345.93 KB)
"Functional quantization for numerics with an application to option pricing",
Monte Carlo Methods and Appl., vol. 11, no. 11, pp. 407-446, 2005.
Abstract
Download: Functional Quantization Num.pdf (531.76 KB)