A quantization algorithm for solving multidimensional discrete-time optimal stopping problems, Bernoulli, vol.9, issue.6, pp.1003-1049, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00104798
A stochastic quantization method for nonlinear problems, Monte Carlo Methods and Applications, vol.7, pp.21-34, 2001. ,
A quantization tree method for pricing and hedging multi-dimensional american options, Mathematical Finance, vol.15, issue.1, pp.119-168, 2005. ,
URL : https://hal.archives-ouvertes.fr/inria-00072123
Optimal positioning in derivative securities, Quantitative Finance, vol.1, issue.1, pp.19-37, 2001. ,
Local distortion and µ-mass of the cells of one dimensional asymptotically optimal quantizers, Communications in Statistics -Theory and Methods, vol.33, issue.5, pp.1087-1117, 2004. ,
Quantization of probability distributions under norm-based distortion measures, Statistics & Decisions, vol.22, issue.4, pp.261-282, 2004. ,
Special issue on quantization, IEEE Transactions on Information Theory, vol.29, 1982. ,
Foundations of Quantization for Probability Distributions, 2000. ,
Monte Carlo methods in financial engineering, vol.53, 2013. ,
Distortion mismatch in the quantization of probability measures, ESAIM: Probability and Statistics, vol.12, pp.127-153, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00019228
Recursive marginal quantization of higher-order schemes, Quantitative Finance, vol.18, issue.4, pp.693-706, 2018. ,
A space quantization method for numerical integration, Journal of computational and applied mathematics, vol.89, issue.1, pp.1-38, 1998. ,
Multi-step richardson-romberg extrapolation: remarks on variance control and complexity, Monte Carlo Methods and Applications, vol.13, issue.1, pp.37-70, 2007. ,
Introduction to vector quantization and its applications for numerics, ESAIM: proceedings and surveys, vol.48, pp.29-79, 2015. ,
Numerical Probability: An Introduction with Applications to Finance, 2018. ,
Optimal quadratic quantization for numerics: the gaussian case, Monte Carlo Methods and Applications, vol.9, issue.2, pp.135-165, 2003. ,
Optimal Quantization Methods and Applications to Numerical Problems in Finance, pp.253-297, 2004. ,
Asymptotics of the maximal radius of an l r -optimal sequence of quantizers, Bernoulli, vol.18, issue.1, pp.360-389, 2012. ,
Improved error bounds for quantization based numerical schemes for bsde and nonlinear filtering, Stochastic Processes and their Applications, vol.128, pp.847-883, 2018. ,
On the approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, vol.83, issue.563, pp.335-336, 1910. ,
Vereinfachte numerische integration, Norske Vid. Selsk. Forh, vol.28, pp.30-36, 1955. ,
On the calculation of the most probable values of frequency-constants, for data arranged according to equidistant division of a scale, Proceedings of the London Mathematical Society, vol.1, issue.1, pp.353-380, 1897. ,
Romberg extrapolations for numerical schemes solving stochastic differential equations, Structural Safety, vol.8, issue.1-4, pp.143-150, 1990. ,