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Publications
"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
"Construction of optimal quantizers for Gaussian measures on Banach spaces",
Mathematik: Universität Trier, 2008.
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)
"Linear transformations and the k-means clustering algorithm: applications to clustering curves",
Am Stat., vol. 61(1), pp. 34–40, 2007.
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
"A forward–backward stochastic algorithm for quasi-linear PDEs",
Annals of Applied Probability, vol. 16(1), pp. 140-184, 2006.
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
"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)
"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)
"Entropy-constrained functional quantization of Gaussian measures",
Proceedings AMS, vol. 133, pp. 3403-3409 , 2005.
Abstract
"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)
"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)
"Optimal quantization methods for nonlinear filtering with discrete-time observations",
Bernoulli, vol. 11(5), 2005.
Abstract
"The point density measure in the quantization of self-similar probabilities",
Math. Proc. Cambridge Phil. Soc. , vol. 138, pp. 513-531, 2005.
"A quantization tree method for pricing and hedging multidimensional American options",
Mathematical Finance, vol. 15, no. 1, pp. 119-168, 2005.
Abstract
Download: Quantization-Tree.pdf (483.24 KB)
"Local distortion and µ-mass of the cells of one dimensional asymptotically optimal quantizers",
Communications in Statistics. Theory and Methods, vol. 33(5), 2004.
Abstract