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Publications
Partial functional quantization and generalized bridges,
, 2011.
Abstract
Download: partial quantization.pdf (392.92 KB)
"Asymptotically optimal quantization schemes for Gaussian processes",
ESAIM: PS, vol. 14, pp. 93 - 116, 2010.
Abstract
"A constructive sharp approach to functional quantization of stochastic processes",
Journal of Applied Mathematics, vol. 2010, 2010.
Abstract
Download: Constructive functional quantization.pdf (1.03 MB)
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)
The Nyström method for functional quantization with an application to the fractional Brownian motion,
, 2010.
Abstract
Download: nystrom_quantization.pdf (457.33 KB)
"Quantization based filtering method using first order approximation",
SIAM journal on numerical analysis, vol. 47, issue 6, pp. 4711-4734 , 2010.
Abstract
"High resolution quantization and entropy coding of jump processes",
Journal of Complexity, vol. 25, pp. 163-187, 2009.
Abstract
"Optimal quantization for the pricing of swing options",
Applied Mathematical Finance, vol. 16, issue 2, pp. 183-217, 2009.
Abstract
"Quantization for probability measures in the Prokhorov metric",
Theory Probab. Appl., vol. 53, pp. 216-241, 2009.
Abstract
"Universal $L^s$-rate-optimality of $L^r$-optimal quantizers by dilatation and contraction",
ESAIM: Probability and Statistics, vol. 13, pp. 218-246, 2009.
Abstract
"The coding complexity of diffusion processes under Lp[0, 1]-norm distortion",
Stochastic Processes and their Applications, vol. 118, issue 6, pp. 938-951, June, 2008.
Abstract