, On the existence of optimal quantizers (Corresp.), IEEE Transactions on Information Theory, vol.28, issue.6, pp.937-940, 1982.
DOI : 10.1109/TIT.1982.1056582
, A stochastic quantization method for nonlinear problems, Monte Carlo Methods and Applications, vol.7, issue.1-2, pp.21-34, 2001.
DOI : 10.1515/mcma.2001.7.1-2.21
, A quantization algorithm for solving multidimensional discrete-time optimal stopping problems, Bernoulli, vol.9, issue.6, pp.1003-1049, 2003.
DOI : 10.3150/bj/1072215199
URL : https://hal.archives-ouvertes.fr/hal-00104798
, Error analysis of the optimal quantization algorithm for obstacle problems, Stochastic Processes & Their Applications, pp.1-40, 2003.
DOI : 10.1016/S0304-4149(03)00026-7
URL : https://hal.archives-ouvertes.fr/hal-00103987
, First-Order Schemes in the Numerical Quantization Method, Mathematical Finance, vol.13, issue.1, pp.1-16, 2003.
DOI : 10.1111/1467-9965.t01-1-00002
URL : https://hal.archives-ouvertes.fr/inria-00072164
, A QUANTIZATION TREE METHOD FOR PRICING AND HEDGING MULTIDIMENSIONAL AMERICAN OPTIONS, Mathematical Finance, vol.26, issue.2, pp.119-168, 2005.
DOI : 10.1287/moor.27.1.121.341
URL : https://hal.archives-ouvertes.fr/inria-00072123
, Optimal quantization for the pricing of swing options When are swing option bang-bang?, Applied Mathematical Finance International Journal for Theoretical and Applied Finance, vol.16, issue.136, pp.183-217867, 2009.
, Adaptive algorithms and stochastic approximations, Translated from the French by, convergence of the 1-dimensional Kohonen algorithm with non uniformly distributed stimuli , Stochastic Processes and their Applications, pp.249-274, 1990.
, Computing Dirichlet tessellations, The Computer Journal, vol.24, issue.2, pp.162-166, 1981.
DOI : 10.1093/comjnl/24.2.162
, How to speed up the quantization tree algorithm with an application to swing options, Quantitative Finance, vol.46, issue.9, pp.995-1007, 2010.
DOI : 10.1214/aop/1176993713
URL : https://hal.archives-ouvertes.fr/hal-00273790
, Multidimensional asymptotic quantization theory with r th power distortion Expected time analysis for Delaunay point location, Grid generation and optimization based on centroidal Voronoi tessellations, pp.239-247, 1982.
, An Algorithm for Finding Best Matches in Logarithmic Expected Time, ACM Transactions on Mathematical Software, vol.3, issue.3, pp.209-226, 1977.
DOI : 10.1145/355744.355745
, Discretization and Simulation of the Zakai Equation, SIAM Journal on Numerical Analysis, vol.44, issue.6, pp.442505-2538, 2007.
DOI : 10.1137/050623140
URL : https://hal.archives-ouvertes.fr/hal-00707850
, Discretization and simulation for a class of SPDEs with applications to Zakai and McKean-Vlasov equation, pre-pub, 2005.
, A fast voronoi-diagram algorithm with applications to geographical optimization problems, Proceedings of the 11th IFIP Conference Copenhagen, pp.273-288, 1730.
, Exponential rate of convergence for Lloyd's method I, IEEE Transactions on Information Theory, vol.28, issue.2, pp.205-210, 1982.
DOI : 10.1109/TIT.1982.1056482
, Uniqueness of locally optimal quantizer for log-concave density and convex error weighting function, IEEE Transactions on Information Theory, vol.29, issue.1, pp.42-47, 1983.
DOI : 10.1109/TIT.1983.1056622
, Stochastic approximation and recursive algorithms and applications, Stochastic Modelling and Applied Probability, p.474, 2003.
, Sequences with low discrepancy generalisation and application to bobbins-monbo algorithm, Statistics, vol.6, issue.2, pp.251-272, 1990.
DOI : 10.1214/aoms/1177729586
, Valuing American Options by Simulation: A Simple Least-Squares Approach, Review of Financial Studies, vol.14, issue.1, pp.113-148, 2001.
DOI : 10.1093/rfs/14.1.113
, Functional quantization rate and mean regularity of processes with an application to L??vy processes, The Annals of Applied Probability, vol.18, issue.2, pp.427-469, 2008.
DOI : 10.1214/07-AAP459
, A fast nearest-neighbor algorithm based on a principal axis search tree, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.9, pp.964-976, 2001.
DOI : 10.1109/34.955110
, Optimal Quantization: Evolutionary Algorithm vs Stochastic Gradient Fast randomized point location without preprocessing in two-and three-dimensional Delaunay triangulations, Proceedings of the 9th Joint Conference on Information Sciences. [Muecke et al. 1999] M, pp.63-83, 1999.
, The hexagon theorem, IEEE Transactions on Information Theory, vol.28, issue.2, pp.137-138, 1982.
DOI : 10.1109/TIT.1982.1056492
, Voronoi tessellation, space quantization algorithm and numerical integration, Proceedings of the ESANN'93, M. Verleysen Ed., Editions D Facto, pp.221-228, 1993.
, A space vector quantization method for numerical integration, J. Computational and Applied Mathematics, vol.89, pp.1-38, 1998.
, Optimal quantization methods and applications to numerical methods in finance. Handbook of Computational and Numerical Methods in Finance, p.429, 2003.
, AN OPTIMAL MARKOVIAN QUANTIZATION ALGORITHM FOR MULTI-DIMENSIONAL STOCHASTIC CONTROL PROBLEMS, Stochastics and Dynamics, vol.04, issue.04, pp.501-545, 2004.
DOI : 10.1142/S0219493704001231
, Optimal quantization methods for nonlinear filtering with discrete-time observations, Bernoulli, issue.5, pp.11893-932, 2005.
, Optimal quantization for finance: from random vectors to stochastic processes, chapter in Mathematical Modeling and Numerical Methods in Finance (special volume, coll. Handbook of Numerical Analysis, pp.595-649, 2009.
, Dual Quantization for random walks with application to credit derivatives, pre-pub PMA-1322, 2009.
, Intrinsic Stationarity for Vector Quantization: Foundation of Dual Quantization, SIAM Journal on Numerical Analysis, vol.50, issue.2, p.1393, 2010.
DOI : 10.1137/110827041
, Sharp rate for the dual quantization problem, p.1402, 2010.
, GPGPUs in computational finance: Massive parallel computing for American style options, pre-pub PMA 1385. [Pärna, Banach spaces, Tartü Ulikooli Toimetised, pp.17-287, 1990.
, Approximation by quantization of the filter process and applications to optimal stopping problems under partial observation, Monte Carlo Methods and Applications, vol.11, issue.1, pp.57-81, 2005.
DOI : 10.1515/1569396054027283
URL : https://hal.archives-ouvertes.fr/hal-00002973
, Quantization and the method of<tex>k</tex>-means, IEEE Transactions on Information Theory, vol.28, issue.2, pp.199-205, 1982.
DOI : 10.1109/TIT.1982.1056481
, Quantization Based Filtering Method Using First Order Approximation, SIAM Journal on Numerical Analysis, vol.47, issue.6, pp.4711-4734, 2010.
DOI : 10.1137/060652580
URL : https://hal.archives-ouvertes.fr/hal-00008978
, Comparative survey on nonlinear filtering methods: the quantization and the particle filtering approaches, Journal of Statistical Computation and Simulation, vol.140, issue.2, pp.93-113, 2009.
DOI : 10.1016/S0167-7152(02)00344-9
, Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions, IEEE Transactions on Information Theory, vol.28, issue.2, pp.187-198, 1982.
DOI : 10.1109/TIT.1982.1056480
, Computational aspects of functional quantization for Gaussian measures and applications, diploma thesis, 2005.
, Development and evaluation of procedures for quantizing multivariate distributions, 1963.
, Asymptotic quantization error of continuous signals and the quantization dimension, IEEE Transactions on Information Theory, vol.28, issue.2, pp.139-149, 1982.
DOI : 10.1109/TIT.1982.1056490