Publications

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Paul L. Zador, "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
Jean-Claude Fort, and Gilles Pagès, "Asymptotics of optimal quantizers for some scalar distributions", J. Comput. Appl. Math., vol. 146, no. 2, Amsterdam, The Netherlands, The Netherlands, Elsevier Science Publishers B. V., pp. 253–275, 2002. Abstract
Harald Luschgy, and Siegfried Graf, "Asymptotics of the quantization errors for self-similar probabilities", Real Analysis Exchange 26, vol. 26(2), pp. 795-810, 2001.
Steffen Dereich, "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
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
Vlad Bally, and Gilles Pagès, "Error analysis of the quantization algorithm for obstacle problems", Stochastic Processes & Their Applications, vol. 106(1), 2003. Abstract
Vlad Bally, Gilles Pagès, and Jacques Printems, "First order schemes in the numerical quantization method", Mathematical Finance, vol. 13, issue 1, pp. 1-16, 2003. Abstract  Download: First Order Schmes.pdf (218.51 KB)
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, Siegfried Graf, and Gilles Pagès, "Fractal functional quantization of mean-regular stochastic processes", Mathematical Proceedings of the Cambridge Philosophical Society, 2010. 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)