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2004
Harald Luschgy, and Gilles Pagès, "Sharp asymptotics of the Kolmogorov entropy for Gaussian measures", Journal of Functional Analysis, vol. 212, no. 1, pp. 89 - 120, 2004. Abstract
Sylvain Delattre, Jean-Claude Fort, and Gilles Pagès, "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
2005
Huyên Pham, Wolfgang Runggaldier, and Afef Sellami, "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)
Emmanuel Gobet, Gilles Pagès, Huyên Pham, and Jacques Printems, Discretization and simulation for a class of SPDEs with applications to Zakai and McKean-Vlasov equations, , 2005. Abstract
Harald Luschgy, and Siegfried Graf, "Entropy-constrained functional quantization of Gaussian measures", Proceedings AMS, vol. 133, pp. 3403-3409 , 2005. Abstract
Gilles Pagès, and Jacques Printems, "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)
Harald Luschgy, and Gilles Pagès, High-resolution product quantization for Gaussian processes under sup-norm distortion, , 2005. Abstract
Afef Sellami, "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)
Gilles Pagès, and Huyên Pham, "Optimal quantization methods for nonlinear filtering with discrete-time observations", Bernoulli, vol. 11(5), 2005. Abstract
Harald Luschgy, and Siegfried Graf, "The point density measure in the quantization of self-similar probabilities", Math. Proc. Cambridge Phil. Soc. , vol. 138, pp. 513-531, 2005.
Vlad Bally, Gilles Pagès, and Jacques Printems, "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)
2006
François Delarue, and Stéphane Menozzi, "A forward–backward stochastic algorithm for quasi-linear PDEs", Annals of Applied Probability, vol. 16(1), pp. 140-184, 2006. Abstract
Harald Luschgy, and Gilles Pagès, "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
Moez Mrad, and Sana Ben Hamida, "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)
Gilles Pagès, and Jacques Printems, "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)
Sylvain Delattre, Siegfried Graf, Harald Luschgy, and Gilles Pagès, "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
2007
Thaddeus Tarpey, "Linear transformations and the k-means clustering algorithm: applications to clustering curves", Am Stat., vol. 61(1), pp. 34–40, 2007. Abstract
Siegfried Graf, Harald Luschgy, and Gilles Pagès, "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
Gilles Pagès, Quadratic optimal functional quantization of stochastic processes and numerical applications, , 2007. Abstract
2008
Gilles Pagès, and Abass Sagna, Asymptotics of the maximal radius of an $L^r$-optimal sequence of quantizers, , 2008. Abstract
Afef Sellami, "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
Benedikt Wilbertz, "Construction of optimal quantizers for Gaussian measures on Banach spaces", Mathematik: Universität Trier, 2008. Abstract
Harald Luschgy, and Gilles Pagès, "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
Anne Laure Bronstein, Gilles Pagès, and Benedikt Wilbertz, How to speed up the quantization tree algorithm with an application to swing options, , 2008. Abstract
Abass Sagna, Méthodes de quantification optimale avec applications à la finance, , 2008. Abstract