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Publications
"Asymptotic quantization error of continuous signals and the quantization dimension",
IEEE Trans. Inform. Theory, vol. IT-28, no. 2, pp. 139–149, March, 1982.
Abstract
"Construction of optimal quantizers for Gaussian measures on Banach spaces",
Mathematik: Universität Trier, 2008.
Abstract
"Linear transformations and the k-means clustering algorithm: applications to clustering curves",
Am Stat., vol. 61(1), pp. 34–40, 2007.
Abstract
"Méthodes de quantification optimale pour le filtrage et applications à la finance",
Applied mathematics: Université Paris Dauphine, 2005.
Abstract
Download: PhD_AfefSELLAMI.pdf (1.35 MB)Introduction_Sellami.pdf (248.72 KB)
Convergence of multi-dimensional quantized SDE's,
, 2010.
Abstract
Download: Pages_Sellami_Quantized_SDE.pdf (356.05 KB)
"Comparative survey on nonlinear filtering methods: the quantization and the particle filtering approaches",
Journal of Statistical Computation and Simulation, vol. 78, issue 2, pp. 93-113, 2008.
Abstract
"Quantization based filtering method using first order approximation",
SIAM journal on numerical analysis, vol. 47, issue 6, pp. 4711-4734 , 2010.
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
"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)
Convergence of distributed asynchronous learning vector quantization algorithms,
, 2010.
Abstract
Download: AsyncStochGradient.pdf (498.47 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)
"A space quantization method for numerical integration",
J. Comput. Appl. Math., vol. 89, no. 1, Amsterdam, The Netherlands, Elsevier Science Publishers B. V., pp. 1–38, 1998.
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)
Intrinsic stationarity for vector quantization: Foundation of dual quantization,
, 2010.
Abstract
Download: Foundation of dual quantization.pdf (962.7 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 methods for nonlinear filtering with discrete-time observations",
Bernoulli, vol. 11(5), 2005.
Abstract