Publications

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Stuart P. Lloyd, "Least squares quantization in PCM", Information Theory, IEEE Transactions on, vol. 28, no. 2, pp. 129–137, 1982. Abstract
Harald Luschgy, and Siegfried Graf, "Quantization for probability measures with respect to the geometric mean error", Math. Proc. Cambridge Phil. Soc., vol. 136, pp. 687-717, 2004.
Harald Luschgy, and Siegfried Graf, "The quantization of the Cantor distribution", Math. Nachrichten, vol. 183, pp. 113-133, 1997. Abstract
Harald Luschgy, and Gilles Pagès, "Functional quantization of Gaussian processes", Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002. 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
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
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
Harald Luschgy, and Siegfried Graf, "The quantization dimension of self-similar probabilities", Math. Nachrichten, vol. 241, pp. 103-109 , 2002.
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.
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.
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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)
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Gilles Pagès, "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