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Publications
Foundations of quantization for probability distributions,
, Secaucus, NJ, USA, Springer-Verlag New York, Inc., 2000.
Abstract
"Functional quantization and small balls probabilities for Gaussian processes",
Journal of Theoretical Probability, vol. 16(4), 2003.
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 constructive sharp approach to functional quantization of stochastic processes",
Journal of Applied Mathematics, vol. 2010, 2010.
Abstract
Download: Constructive functional quantization.pdf (1.03 MB)
"Least squares quantization in PCM",
Information Theory, IEEE Transactions on, vol. 28, no. 2, pp. 129–137, 1982.
Abstract
"The quantization of the Cantor distribution",
Math. Nachrichten, vol. 183, pp. 113-133, 1997.
Abstract
"Rates of convergence for the empirical quantization error",
Ann. Probab., vol. 30, pp. 874- 897, 2002.
"Entropy-constrained functional quantization of Gaussian measures",
Proceedings AMS, vol. 133, pp. 3403-3409 , 2005.
Abstract
"Fractal functional quantization of mean-regular stochastic processes",
Mathematical Proceedings of the Cambridge Philosophical Society, 2010.
Abstract
"Functional quantization of Gaussian processes",
Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002.
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
"The quantization dimension of self-similar probabilities",
Math. Nachrichten, vol. 241, pp. 103-109 , 2002.
"Sharp asymptotics of the Kolmogorov entropy for Gaussian measures",
Journal of Functional Analysis, vol. 212, no. 1, pp. 89 - 120, 2004.
Abstract
"The point density measure in the quantization of self-similar probabilities",
Math. Proc. Cambridge Phil. Soc. , vol. 138, pp. 513-531, 2005.
"Quantization for probability measures in the Prokhorov metric",
Theory Probab. Appl., vol. 53, pp. 216-241, 2009.
Abstract
"Asymptotically optimal quantization schemes for Gaussian processes",
ESAIM: PS, vol. 14, pp. 93 - 116, 2010.
Abstract
"Asymptotics of the quantization errors for self-similar probabilities",
Real Analysis Exchange 26, vol. 26(2), pp. 795-810, 2001.
"Quantization for probability measures with respect to the geometric mean error",
Math. Proc. Cambridge Phil. Soc., vol. 136, pp. 687-717, 2004.
"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
Sharp asymptotics of the functional quantization problem for Gaussian processes,
, vol. 32, no. 2, 2004.
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)