S. Bilicz, M. Lambert, and S. Gyimóthy, Kriging-based generation of optimal databases as forward and inverse surrogate models, Inverse Problems, vol.26, issue.7, p.74012, 2010.
DOI : 10.1088/0266-5611/26/7/074012

URL : https://hal.archives-ouvertes.fr/hal-00493205

S. Bilicz, E. Vazquez, M. Lambert, S. Gyimóthy, and J. Pávó, Characterization of a 3D defect using the expected improvement algorithm, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.28, issue.4, pp.851-864, 2009.
DOI : 10.1108/03321640910958964

URL : https://hal.archives-ouvertes.fr/hal-01104089

S. Bilicz, M. Lambert, E. Vazquez, and S. Gyimóthy, Combination of Maximin and Kriging Prediction Methods for Eddy-Current Testing Database Generation, Journal of Physics: Conference Series, vol.255, issue.101, p.12003, 2010.
DOI : 10.1088/1742-6596/255/1/012003

URL : https://hal.archives-ouvertes.fr/hal-00447736

S. Bilicz, E. Vazquez, S. Gyimóthy, J. Pávó, and M. Lambert, Kriging for Eddy-Current Testing Problems, IEEE Transactions on Magnetics, vol.46, issue.8, pp.3165-3168, 2010.
DOI : 10.1109/TMAG.2010.2043418

URL : https://hal.archives-ouvertes.fr/hal-00505001

S. Bilicz, M. Lambert, E. Vazquez, and S. Gyimóthy, A new database generation method combining maximin method and kriging prediction for eddy-current testing Electromagnetic Nondestructive Evaluation (XIII), Studies in Applied Electromagnetics and Mechanics, pp.199-206, 2010.

S. Bilicz, M. Lambert, and S. Gyimóthy, Inverse problem characterization using an adaptive database, 2010 URSI International Symposium on Electromagnetic Theory, pp.509-512, 2010.
DOI : 10.1109/URSI-EMTS.2010.5637281

URL : https://hal.archives-ouvertes.fr/hal-00490005

S. Bilicz, E. Vazquez, M. Lambert, S. Gyimóthy, and J. Pávó, Characterization of a 3D defect using the expected improvement algorithm, Proceedings of the 13th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp.157-162, 2008.
DOI : 10.1108/03321640910958964

URL : https://hal.archives-ouvertes.fr/hal-01104089

S. Bilicz, E. Vazquez, J. Pávó, M. Lambert, and S. Gyimóthy, Eddy-current testing with the Expected Improvement optimization algorithm, Proceedings of the 15th IFAC Symposium on System Identification, pp.1750-1755, 2009.
DOI : 10.3182/20090706-3-FR-2004.00291

URL : https://hal.archives-ouvertes.fr/hal-00446202

S. Bilicz, E. Vazquez, S. Gyimóthy, J. Pávó, and M. Lambert, Kriging for Eddy-Current Testing Problems, 17th Conference on the Computation of Electromagnetic Fields (COMPUMAG'09), pp.3-4, 2009.
DOI : 10.1109/TMAG.2010.2043418

URL : https://hal.archives-ouvertes.fr/hal-00505001

S. Bilicz, E. Vazquez, M. Lambert, S. Gyimóthy, and J. Pávó, The " Expected Improvement " global optimization algorithm for the solution of eddy-current testing inverse problems, Proceedings of 14th International Workshop on Electromagnetic Nondestructive Evaluation (ENDE'09), pp.144-145, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00365339

S. Bilicz, S. Gyimóthy, M. Lambert, and J. Pávó, Adaptive kriging metamodels for expensive-to-run electromagnetic simulations, Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp.214-219, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00531301

S. Bilicz, M. Lambert, S. Gyimóthy, J. Pávó, and G. Pichenot, Characterization of eddycurrent testing inverse problems using adaptive databases, Proceedings of 15th International Workshop on Electromagnetic Nondestructive Evaluation (ENDE'10), pp.29-30, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00493725

S. Gyimóthy, I. Kiss, J. Pávó, and S. Bilicz, Sensitivity based generation of optimized data set for ECT inversion, 17th Conference on the Computation of Electromagnetic Fields (COM- PUMAG'09), pp.432-433, 2009.

L. Thirion, S. Bilicz, M. Lambert, and S. Gyimóthy, On the use of an optimal database for radar forest observation, Proceedings of the 8th European Conference on Synthetic Aperture Radar, pp.873-876, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00556986

S. Bilicz, M. Lambert, S. Gyimóthy, and J. Pávó, Solution of Inverse Problems in Nondestructive Testing by a Kriging-Based Surrogate Model, 18th Conference on the Computation of Electromagnetic Fields (COMPUMAG'11), Accepted. (cit, p.45, 2011.
DOI : 10.1109/TMAG.2011.2172196

URL : https://hal.archives-ouvertes.fr/hal-00688451

A. Vaskó, L. Thirion-lefevre, S. Bilicz, I. Champion, M. Lambert et al., Metamodel-based adaptive use of a coherent polarimetric backscattering simulator for the characterization of forested areas at low frequencies, Proceedings of PIERS 2011 in Suzhou, p.127, 2011.

J. F. Abascal, M. Lambert, D. Lesselier, and O. Dorn, 3-D Eddy-Current Imaging of Metal Tubes by Gradient-Based, Controlled Evolution of Level Sets, IEEE Transactions on Magnetics, vol.44, issue.12, pp.4721-4729, 2008.
DOI : 10.1109/TMAG.2008.2004265

URL : https://hal.archives-ouvertes.fr/hal-00272487

A. Abubakar, P. M. Hu, . Van-den, T. M. Berg, and . Habashy, A finite-difference contrast source inversion method, Inverse Problems, vol.24, issue.6, p.65004, 2008.
DOI : 10.1088/0266-5611/24/6/065004

URL : http://repository.tudelft.nl/islandora/object/uuid%3A34759c8c-0409-4f44-94d0-2e16a6ec688c/datastream/OBJ/view

A. Abubakar, P. M. Van-den, and . Berg, The contrast source inversion method for location and shape reconstructions, Inverse Problems, vol.18, issue.2, p.495, 2002.
DOI : 10.1088/0266-5611/18/2/313

H. Ammari, E. Iakovleva, D. Lesselier, and G. Perrusson, MUSIC???Type Electromagnetic Imaging of a Collection of Small Three???Dimensional Inclusions, SIAM Journal on Scientific Computing, vol.29, issue.2, pp.674-709, 2007.
DOI : 10.1137/050640655

G. Anger, Inverse problems in differential equations, 1990.

B. Ankenman, B. L. Nelson, and J. Staum, Stochastic Kriging for Simulation Metamodeling, Operations Research, vol.58, issue.2, pp.371-382, 2010.
DOI : 10.1287/opre.1090.0754

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.642.9078

Z. Badics, J. Pávó, H. Komatsu, S. Kojima, Y. Matsumoto et al., Fast flaw reconstruction from 3D eddy current data, IEEE Transactions on Magnetics, vol.34, issue.5, pp.2823-2828, 1998.
DOI : 10.1109/20.717657

Z. Badics, H. Komatsu, Y. Matsumoto, and K. Aoki, Inversion scheme based on optimization for 3-D eddy current flaw reconstruction problems, Journal of Nondestructive Evaluation, vol.3, issue.4, pp.67-78, 1998.
DOI : 10.1007/BF02995484

R. Barton, Simulation optimization using metamodels, Proceedings of the 2009 Winter Simulation Conference (WSC), pp.230-238, 2009.
DOI : 10.1109/WSC.2009.5429328

M. Bensetti, Y. Le-bihan, C. Marhand, and J. Pávó, Deposit characterization by eddy current nondestructive evaluation, International Journal of Applied Electromagnetics and Mechanics, vol.19, pp.537-540, 2004.

R. Bettinger, P. Duchêne, L. Pronzato, and E. Thierry, Design of experiments for response diversity, Journal of Physics: Conference Series, vol.135, issue.8, pp.12017-68, 2008.
DOI : 10.1088/1742-6596/135/1/012017

URL : https://hal.archives-ouvertes.fr/hal-00290418

S. Biedermann and H. Dette, Minimax Optimal Designs for Nonparametric Regression ??? A Further Optimality Property of the Uniform Distribution, Proceedings of the 6th international workshop on model-oriented design and analysis, pp.13-20, 2001.
DOI : 10.1007/978-3-642-57576-1_2

G. Blatman, Adaptive sparse polynomial chaos expansions for uncertainty propagation and sensitivity analysis, 2009.
URL : https://hal.archives-ouvertes.fr/tel-00440197

J. Blitz, Electrical and magnetic methods of nondestructive testing, 1991.

J. R. Bowler, Eddy???current interaction with an ideal crack. I. The forward problem, Journal of Applied Physics, vol.75, issue.12, pp.8128-8137, 1994.
DOI : 10.1063/1.356511

J. R. Bowler, S. J. Norton, and D. J. Harrison, Eddy???current interaction with an ideal crack. II. The inverse problem, Journal of Applied Physics, vol.75, issue.12, pp.8138-8144, 1994.
DOI : 10.1063/1.356512

D. J. Brus and G. B. Heuvelink, Optimization of sample patterns for universal kriging of environmental variables, Geoderma, vol.138, issue.1-2, pp.86-95, 2007.
DOI : 10.1016/j.geoderma.2006.10.016

M. Cacciola, S. Calcagno, F. C. Morabito, and M. Versaci, Swarm Optimization for Imaging of Corrosion by Impedance Measurements in Eddy Current Test, IEEE Transactions on Magnetics, vol.43, issue.4, pp.1853-1856, 2007.
DOI : 10.1109/TMAG.2007.892513

A. Canova, M. Gruosso, and . Repetto, Magnetic design optimization and objective function approximation, IEEE Transactions on Magnetics, vol.39, issue.5, pp.2154-2162, 2003.
DOI : 10.1109/TMAG.2003.817076

J. Chilès and P. Delfiner, Geostatistics, Modeling Spatial Uncertainty, p.95, 1999.

S. R. Cloude and K. P. Papathanassiou, Three-stage inversion process for polarimetric SAR interferometry, IEE Proceedings - Radar, Sonar and Navigation, vol.150, issue.3, pp.125-134, 2003.
DOI : 10.1049/ip-rsn:20030449

I. Couckuyt, F. Declercq, T. Dhaene, H. Rogier, and L. Knockaert, Surrogate-based infill optimization applied to electromagnetic problems, International Journal of RF and Microwave Computer-Aided Engineering, vol.55, issue.5, pp.492-501, 2010.
DOI : 10.1002/mmce.20455

A. E. Csallner and J. Balogh, Optimization without derivatives: A simple direct search method, Pollack Periodica, vol.2, issue.Supplement 1, pp.145-154, 2007.
DOI : 10.1556/Pollack.2.2007.S.13

A. Dalla-'rosa, A. Raizer, and L. Pichon, Optimal Indoor Transmitters Location Using TLM and Kriging Methods, IEEE Transactions on Magnetics, vol.44, issue.6, pp.1354-1357, 2008.
DOI : 10.1109/TMAG.2007.916239

URL : https://hal.archives-ouvertes.fr/hal-00352290

P. Delicado, R. Giraldo, C. Comas, and J. Mateu, Statistics for spatial functional data: some recent contributions, Environmetrics, vol.15, issue.2, pp.224-239, 2009.
DOI : 10.1002/env.1003

URL : http://hdl.handle.net/2117/8739

C. V. Dodd and W. E. Deeds, Analytical solutions to eddy-current probe-coil problems, Journal of Applied Physics, vol.39, issue.6, pp.2829-2838, 1968.
DOI : 10.2172/4499902

O. Dorn and D. Lesselier, Level set methods for inverse scattering, Inverse Problems, vol.22, issue.4, p.67, 2006.
DOI : 10.1088/0266-5611/22/4/R01

URL : https://hal.archives-ouvertes.fr/hal-00637348

D. Reis, D. , M. Lambert, and D. Lesselier, Eddy-current evaluation of three-dimensional defects in a metal plate, Inverse Problems, vol.18, issue.6, pp.1857-1871, 2002.
DOI : 10.1088/0266-5611/18/6/325

R. Douvenot, M. Lambert, and D. Lesselier, Metamodels as input of an optimization algorithm for solving an inverse eddy current testing problem, Proceedings of 15th International Workshop on Electromagnetic Nondestructive Evaluation (ENDE'10), pp.25-26, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00493736

B. Efron and R. J. Tibshirani, An introduction to the bootstrap, 1993.
DOI : 10.1007/978-1-4899-4541-9

K. Fang, R. Li, and A. Sudjianto, Design and modeling for computer experiments, p.124, 2006.
DOI : 10.1201/9781420034899

F. 3d, FLUX 3D: Electromagnetic & thermal device design and Analysis Software

G. Franceschini, M. Lambert, and D. Lesselier, Adaptive database for eddy-current testing in metal tubes, Proc. of the 8th International Symposium on Electric and Magnetic Fields (EMF 2009), 2 pp. (CD-ROM), 2009.

H. Fukutomi, H. Huang, T. Takagi, and J. Tani, Identification of crack depths from eddy current testing signal, IEEE Transactions on Magnetics, vol.34, issue.5, pp.2893-2896, 1998.
DOI : 10.1109/20.717674

Y. Gao and X. Wang, Surrogate-based process optimization for reducing warpage in injection molding, Journal of Materials Processing Technology, vol.209, issue.3, pp.1302-1309, 2009.
DOI : 10.1016/j.jmatprotec.2008.03.048

S. Geisser, Predictive inference: an introduction, 1993.
DOI : 10.1007/978-1-4899-4467-2

R. Giraldo, P. Delicado, and J. Mateu, Geostatistics for functional data: An ordinary kriging approach , tech. rep, p.51, 2007.

R. H. Giraldo, Geostatistical analysis of functional data, 2009.

A. A. Giunta, S. F. Wojtkiewicz-jr, and M. S. Eldred, Overview of Modern Design of Experiments Methods for Computational Simulations (Invited), 41st Aerospace Sciences Meeting and Exhibit, 2003.
DOI : 10.2514/6.2003-649

S. Gyimóthy, I. Kiss, and J. Pávó, Adaptive sampling technique based on moving meshes for building data-equidistant inversion databases for NDT, International Journal of Applied Electromagnetics and Mechanics, vol.30, issue.8, pp.309-319, 2009.

S. Gyimóthy, Y. L. Bihan, and J. Pávó, Optimized database for training neural networks used in non-destructive testing, International Journal of Applied Electromagnetics and Mechanics, vol.25, issue.1-4, pp.717-721, 2007.

S. Gyimóthy and J. Pávó, Qualification of the inverse problem of defect reconstruction using optimized mesh database, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.24, issue.2, pp.436-445, 2005.
DOI : 10.1108/03321640510586079

R. F. Harrington, Time-harmonic electromagnetic fields, 1961.
DOI : 10.1109/9780470546710

T. Henriksson, M. Lambert, and D. Lesselier, MUSIC-type algorithm for eddy-current nondestructive evaluation of small defects in metal plates, 15th International Workshop on Electromagnetic Non?Destructive Evaluation (ENDE'10), pp.151-152, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00617535

D. D. Hertog, J. P. Kleijnen, and A. Y. Siem, The correct Kriging variance estimated by bootstrapping, Journal of the Operational Research Society, vol.30, issue.4, pp.400-409, 2006.
DOI : 10.1111/1467-9469.00325

J. Idier, Bayesian approach to inverse problems, 2008.
DOI : 10.1002/9780470611197

URL : https://hal.archives-ouvertes.fr/hal-00400668

R. Jin, W. Chen, and A. Sudjianto, On Sequential Sampling for Global Metamodeling in Engineering Design, Volume 2: 28th Design Automation Conference, 2002.
DOI : 10.1115/DETC2002/DAC-34092

D. Jones, A taxonomy of global optimization methods based on response surfaces, Journal of Global Optimization, vol.21, issue.4, pp.345-383, 2001.
DOI : 10.1023/A:1012771025575

D. Jones, W. Schonlau, and . Welch, Efficient global optimization of expensive black-box functions, Journal of Global Optimization, vol.13, issue.4, pp.455-492, 1998.
DOI : 10.1023/A:1008306431147

J. P. Kleijnen, Kriging metamodeling in simulation: A review, European Journal of Operational Research, vol.192, issue.3, pp.707-716, 2009.
DOI : 10.1016/j.ejor.2007.10.013

J. P. Kleijnen and V. W. Beers, Application-driven sequential designs for simulation experiments: Kriging metamodelling, Journal of the Operational Research Society, vol.17, issue.2, pp.876-883, 2004.
DOI : 10.1007/PL00007198

J. Knowles, ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems, IEEE Transactions on Evolutionary Computation, vol.10, issue.1, pp.50-66, 2006.
DOI : 10.1109/TEVC.2005.851274

M. Lambert, B. J. Lesselier, and . Kooij, -polarization case and for Maxwellian materials, Inverse Problems, vol.14, issue.5, p.1265, 1998.
DOI : 10.1088/0266-5611/14/5/011

URL : https://hal.archives-ouvertes.fr/hal-00309721

L. Bihan, Y. , J. Pávó, and C. Marchand, Characterization of small cracks in eddy current testing, The European Physical Journal Applied Physics, vol.43, issue.2, pp.231-237, 2008.
DOI : 10.1051/epjap:2008112

URL : https://hal.archives-ouvertes.fr/hal-00761612

S. Leary, A. Bhaskar, and . Keane, A Derivative Based Surrogate Model for Approximating and Optimizing the Output of an Expensive Computer Simulation, Journal of Global Optimization, vol.30, issue.1, pp.39-58, 2004.
DOI : 10.1023/B:JOGO.0000049094.73665.7e

L. Lebensztajn, C. A. Marretto, M. C. Costa, and J. L. Coulomb, Kriging: A Useful Tool for Electromagnetic Device Optimization, IEEE Transactions on Magnetics, vol.40, issue.2, pp.1196-1199, 2004.
DOI : 10.1109/TMAG.2004.824542

K. V. Mardia, J. T. Kent, C. R. Goodall, and J. A. Little, Kriging and splines with derivative information, Biometrika, vol.83, issue.1, pp.207-221, 1996.
DOI : 10.1093/biomet/83.1.207

J. D. Martin and T. W. Simpson, Use of Kriging Models to Approximate Deterministic Computer Models, AIAA Journal, vol.43, issue.4, pp.853-863, 2005.
DOI : 10.2514/1.8650

M. D. Mckay, R. J. Beckman, and W. J. Conover, A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code, Technometrics, vol.15, issue.1, pp.55-61, 1979.
DOI : 10.1214/aoms/1177703566

J. Mockus, V. Tiesis, and A. Zilinskas, The application of Bayesian methods for seeking the extremum, pp.117-129, 1978.

V. Monebhurrun, B. Duchêne, and D. Lesselier, Three-dimensional inversion of eddy current data for non-destructive evaluation of steam generator tubes, Inverse Problems, vol.14, issue.3, p.707, 1998.
DOI : 10.1088/0266-5611/14/3/019

R. C. Morgans, A. C. Zander, C. H. Hansen, and D. J. Murphy, EGO shape optimization of horn-loaded loudspeakers, Optimization and Engineering, vol.5, issue.5, pp.361-374, 2008.
DOI : 10.1007/s11081-007-9029-8

M. D. Morris, T. J. Mitchell, and D. Ylvisaker, Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction, Technometrics, vol.15, issue.3, pp.243-255, 1993.
DOI : 10.1080/00401706.1992.10485229

S. M. Nair and J. H. Rose, Reconstruction of three-dimensional conductivity variations from eddy current (electromagnetic induction) data, Inverse Problems, vol.6, issue.6, pp.1007-1030, 1990.
DOI : 10.1088/0266-5611/6/6/010

S. J. Norton and J. R. Bowler, Theory of eddy current inversion, Journal of Applied Physics, vol.73, issue.2, pp.501-512, 1993.
DOI : 10.1063/1.353359

A. Okabe, B. Boots, K. Sugihara, and S. N. Chiu, Spatial tessellations: concepts and applications of voronoi diagrams, 2000.

W. Park, On the imaging of thin dielectric inclusions buried within a half-space, Inverse Problems, vol.26, issue.7, p.74008, 2010.
DOI : 10.1088/0266-5611/26/7/074008

W. Park and D. Lesselier, MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix, Inverse Problems, vol.25, issue.7, p.75002, 2009.
DOI : 10.1088/0266-5611/25/7/075002

URL : https://hal.archives-ouvertes.fr/hal-00434049

J. Pávó, Reconstruction of group of cracks in plate specimens using ECT impedance data, Electromagnetic Nondestructive Evaluation (IV) Studies in Applied Electromagnetics and Mechanics, pp.204-211, 2000.

J. Pávó and S. Gyimóthy, Adaptive inversion database for electromagnetic nondestructive evaluation, NDT & E International, vol.40, issue.3, pp.192-202, 2007.
DOI : 10.1016/j.ndteint.2006.10.011

J. Pávó and D. Lesselier, Calculation of eddy current testing probe signal with global approximation, IEEE Transactions on Magnetics, vol.42, issue.4, pp.1419-1422, 2006.
DOI : 10.1109/TMAG.2006.872490

J. Pávó and K. Miya, Reconstruction of crack shape by optimization using eddy current field measurement, IEEE Transactions on Magnetics, vol.30, issue.5, pp.3407-3410, 1994.
DOI : 10.1109/20.312670

J. Pávó, Reconstruction of crack shape in a conducting plate using eddy current measurements, p.105, 1994.

V. Picheny, D. Ginsbourger, O. Roustant, and R. Haftka, Adaptive Designs of Experiments for Accurate Approximation of a Target Region, Journal of Mechanical Design, vol.132, issue.7, pp.71008-50, 2010.
DOI : 10.1115/1.4001873

URL : https://hal.archives-ouvertes.fr/hal-00319385

V. Picheny, Improving accuracy and compensating for uncertainty in surrogate modeling, 2009.
URL : https://hal.archives-ouvertes.fr/tel-00770844

M. J. Powell, Direct search algorithms for optimization calculations, Acta Numerica, vol.8, pp.287-336, 1998.
DOI : 10.1007/BF00933295

D. Prémel and A. Baussard, Eddy-current evaluation of three-dimensional flaws in flat conductive materials using a Bayesian approach, Inverse Problems, vol.18, issue.6, p.1873, 2002.
DOI : 10.1088/0266-5611/18/6/326

L. Pronzato, Optimal experimental design and some related control problems, Automatica, vol.44, issue.2, pp.303-325, 2008.
DOI : 10.1016/j.automatica.2007.05.016

URL : https://hal.archives-ouvertes.fr/hal-00259532

N. V. Queipo, R. T. Haftka, W. Shyy, T. Goel, R. Vaidyanathan et al., Surrogate-based analysis and optimization, Progress in Aerospace Sciences, pp.1-28, 2005.
DOI : 10.1016/j.paerosci.2005.02.001

M. H. Quenouille, Approximate tests of correlation in time-series 3, Mathematical Proceedings of the Cambridge Philosophical Society, vol.35, issue.03, pp.18-44, 1949.
DOI : 10.1214/aoms/1177731096

P. Ramuhalli, L. Upda, and S. Upda, Neural network algorithm for electromagnetic NDE signal inversion, pp.121-128, 2001.
DOI : 10.1109/tmag.2002.804817

H. A. Sabbagh, D. J. Radecki, S. Barkeshli, B. Shamee, J. A. Treece et al., Inversion of eddy-current data and the reconstruction of three-dimensional flaws, IEEE Transactions on Magnetics, vol.26, issue.2, pp.626-629, 1990.
DOI : 10.1109/20.106395

J. Sacks, B. S. Schiller, and J. W. Welch, Designs for Computer Experiments, Technometrics, vol.15, issue.18, pp.41-47, 1989.
DOI : 10.1080/00401706.1989.10488474

J. Sacks, W. J. Welch, T. J. Mitchell, and H. P. Wynn, Design and Analysis of Computer Experiments, Statistical Science, vol.4, issue.4, pp.409-435, 1989.
DOI : 10.1214/ss/1177012413

T. J. Santner, B. J. Williams, and W. I. Notz, The design and analysis of computer experiments, p.124, 2003.
DOI : 10.1007/978-1-4757-3799-8

F. Santosa, A level-set approach for inverse problems involving obstacles Fadil SANTOSA, ESAIM: Control, Optimisation and Calculus of Variations, vol.1, pp.17-33, 1996.
DOI : 10.1051/cocv:1996101

J. Shao and D. Tu, The jackknife and bootstrap, pp.48-65, 1995.
DOI : 10.1007/978-1-4612-0795-5

G. Simone and F. C. Morabito, Plural defect separation using wavelet Hough transform, Electromagnetic Nondestructive Evaluation (IV) Studies in Electromagnetics and Mechanics, pp.196-203, 2000.

L. Souriau, . Duchêne, R. E. Lesselier, and . Kleinman, Modified gradient approach to inverse scattering for binary objects in stratified media, Inverse Problems, vol.12, issue.4, p.463, 1996.
DOI : 10.1088/0266-5611/12/4/009

URL : https://hal.archives-ouvertes.fr/hal-00641670

M. Stein, Interpolation of spatial data: some theory for kriging, p.113, 1999.
DOI : 10.1007/978-1-4612-1494-6

B. Sudret, Uncertainty propagation and sensitivity analysis in mechanical models, contribution to structural reliability and stochastic spectral methods, p.96, 2007.

J. K. Sykulski, New trends in optimization in electromagnetics, IET 7th International Conference on Computation in Electromagnetics (CEM 2008), pp.13-18, 2007.
DOI : 10.1049/cp:20080215

T. Takagi, M. Uesaka, and K. Miya, Electromagnetic NDE research activities in JSAEM, Studies in Applied Electromagnetics and Mechanics, pp.9-16, 1997.

A. Tamburrino and G. Rubinacci, A new non-iterative inversion method for electrical resistance tomography, Inverse Problems, vol.18, issue.6, p.1809, 2002.
DOI : 10.1088/0266-5611/18/6/323

A. Tamburrino, S. Ventre, and G. Rubinacci, Recent developments of a monotonicity imaging method for magnetic induction tomography in the small skin-depth regime, Inverse Problems, vol.26, issue.7, p.74016, 2010.
DOI : 10.1088/0266-5611/26/7/074016

T. Taniguchi, D. Kacprzak, S. Yamanda, M. Iwahara, and T. Miyagoshi, Wavelet-based image processing for inspection of printed circuit board using eddy-current testing technique, Electromagnetic Nondestructive Evaluation (V) Studies in Electromagnetics and Mechanics, pp.226-233, 2001.

T. Taniguchi, K. Nakamura, S. Yamada, and M. Iwahara, Image processing in eddy-current testing for extraction of orientations of defects, International Journal of Applied Electromagnetics and Mechanics, vol.14, pp.503-506, 2002.

A. Tarantola, Inverse problem theory and methods for model parameter estimation, SIAM (cit, p.14, 2005.

L. Thirion, E. Colin, and C. Dahon, Capabilities of a forest coherent scattering model applied to radiometry, interferometry, and polarimetry at P- and L-band, IEEE Transactions on Geoscience and Remote Sensing, vol.44, issue.4, pp.849-862, 2006.
DOI : 10.1109/TGRS.2005.862523

A. Trillon, A. Girard, J. Idier, Y. Goussard, F. Sirois et al., EDDY CURRENT TOMOGRAPHY BASED ON A FINITE DIFFERENCE FORWARD MODEL WITH ADDITIVE REGULARIZATION, AIP Conference Proceedings, vol.1211, issue.1, pp.782-789, 2010.
DOI : 10.1063/1.3362478

J. W. Tukey, Bias and confidence in not-quite large samples (abstract), The Annals of Mathematical Statistics, vol.29, p.614, 1958.

W. C. Van-beers, Kriging metamodeling for simulation, 2005.

W. C. Van-beers and J. P. Kleijnen, Customized sequential designs for random simulation experiments: Kriging metamodeling and bootstrapping, European Journal of Operational Research, vol.186, issue.3, pp.1099-1113, 2008.
DOI : 10.1016/j.ejor.2007.02.035

P. M. Van-den-berg and R. E. Kleinman, A contrast source inversion method, Inverse Problems, vol.13, issue.6, p.1607, 1997.
DOI : 10.1088/0266-5611/13/6/013

E. Vazquez and J. Bect, On the convergence of the expected improvement algorithm, 2007.

E. Vazquez and E. Walter, Estimating derivatives and integrals with Kriging, Proceedings of the 44th IEEE Conference on Decision and Control, pp.8156-8161, 2005.
DOI : 10.1109/CDC.2005.1583482

URL : https://hal.archives-ouvertes.fr/hal-00369893

E. Vazquez and J. Bect, Convergence properties of the expected improvement algorithm with fixed mean and covariance functions, Journal of Statistical Planning and Inference, vol.140, issue.11, pp.3088-3095, 2010.
DOI : 10.1016/j.jspi.2010.04.018

URL : https://hal.archives-ouvertes.fr/hal-00217562

F. A. Viana, C. Gogu, and R. T. Haftka, Making the Most Out of Surrogate Models: Tricks of the Trade, Volume 1: 36th Design Automation Conference, Parts A and B, p.28813, 2010.
DOI : 10.1115/DETC2010-28813

J. Villemonteix, E. Vazquez, and E. Walter, An informational approach to the global optimization of expensive-to-evaluate functions, Journal of Global Optimization, vol.10, issue.5, pp.509-534, 2008.
DOI : 10.1007/s10898-008-9354-2

URL : https://hal.archives-ouvertes.fr/hal-00354262

M. G. Voronoi, Nouvelles applications des paramètres continus à la théorie des formes quadratiques . Deuxième mémoire: recherches sur les parallélloèdres primitifs, Journal für die Reine und Angewandte Mathematik, pp.198-287, 1908.

E. Walter and L. Pronzato, Identification of parametric models from experimental data, 1997.

Y. Xiong, W. Chen, D. Apley, and X. Ding, A non-stationary covariance-based Kriging method for metamodelling in engineering design, International Journal for Numerical Methods in Engineering, vol.128, issue.6, pp.733-756, 2007.
DOI : 10.1002/nme.1969

F. Zaoui, C. Marchand, and J. Pávó, Stochastic crack inversion by an integral approach, Studies in Applied Electromagnetics and Mechanics, pp.129-136, 2001.