Sequential design of computer experiments for the estimation of a probability of failure J Bect, D Ginsbourger, L Li, V Picheny, E Vazquez Statistics and Computing 22 (3), 773-793, 2012 | 384 | 2012 |
Convergence properties of the expected improvement algorithm with fixed mean and covariance functions E Vazquez, J Bect Journal of Statistical Planning and Inference 140 (11), 3088-3095, 2010 | 279 | 2010 |
A l 1-Unified Variational Framework for Image Restoration J Bect, L Blanc-Féraud, G Aubert, A Chambolle Computer Vision-ECCV 2004: 8th European Conference on Computer Vision …, 2004 | 230 | 2004 |
Fast parallel kriging-based stepwise uncertainty reduction with application to the identification of an excursion set C Chevalier, D Ginsbourger, J Bect, E Vazquez, V Picheny, Y Richet Technometrics 56 (4), 455-465, 2014 | 173 | 2014 |
A Bayesian approach to constrained single-and multi-objective optimization P Feliot, J Bect, E Vazquez Journal of Global Optimization 67 (1), 97-133, 2017 | 169 | 2017 |
A supermartingale approach to Gaussian process based sequential design of experiments J Bect, F Bachoc, D Ginsbourger Bernoulli 25 (4A), 2883-2919, 2019 | 85 | 2019 |
Robust Gaussian process-based global optimization using a fully Bayesian expected improvement criterion R Benassi, J Bect, E Vazquez International Conference on Learning and Intelligent Optimization, 176-190, 2011 | 84 | 2011 |
Bayesian subset simulation J Bect, L Li, E Vazquez SIAM/ASA Journal on Uncertainty Quantification 5 (1), 762-786, 2017 | 79 | 2017 |
A sequential Bayesian algorithm to estimate a probability of failure E Vazquez, J Bect IFAC Proceedings Volumes 42 (10), 546-550, 2009 | 61 | 2009 |
Adaptive design of experiments for conservative estimation of excursion sets D Azzimonti, D Ginsbourger, C Chevalier, J Bect, Y Richet Technometrics 63 (1), 13-26, 2021 | 51 | 2021 |
A unifying formulation of the Fokker-Planck-Kolmogorov equation for general stochastic hybrid systems J Bect Nonlinear Analysis: Hybrid Systems 4 (2), 357-370, 2010 | 50 | 2010 |
A unifying formulation of the Fokker-Planck-Kolmogorov equation for general stochastic hybrid systems (extended version) J Bect | 50* | 2010 |
Quantifying uncertainties on excursion sets under a Gaussian random field prior D Azzimonti, J Bect, C Chevalier, D Ginsbourger SIAM/ASA Journal on Uncertainty Quantification 4 (1), 850-874, 2016 | 49 | 2016 |
Estimating and quantifying uncertainties on level sets using the Vorob’ev expectation and deviation with Gaussian process models C Chevalier, D Ginsbourger, J Bect, I Molchanov mODa 10–Advances in Model-Oriented Design and Analysis: Proceedings of the …, 2013 | 47 | 2013 |
Bayesian Subset Simulation: a kriging-based subset simulation algorithm for the estimation of small probabilities of failure L Li, J Bect, E Vazquez arXiv preprint arXiv:1207.1963, 2012 | 40 | 2012 |
METHOD AND SYSTEM FOR PREDICTING THE IMPACT BETWEEN A VEHICLE AND A PEDESTRIAN J Bect, C Wakim EP Patent 1,920,421, 2008 | 39 | 2008 |
STK: a Small (Matlab/Octave) Toolbox for Kriging J Bect, E Vazquez Release 2 (0), 2016 | 27* | 2016 |
Sequential search based on kriging: convergence analysis of some algorithms E Vazquez, J Bect arXiv preprint arXiv:1111.3866, 2011 | 26 | 2011 |
Numerical issues in maximum likelihood parameter estimation for Gaussian process interpolation S Basak, S Petit, J Bect, E Vazquez 7th International Conference on machine Learning, Optimization and Data …, 2021 | 25* | 2021 |
Pointwise consistency of the kriging predictor with known mean and covariance functions E Vazquez, J Bect mODa 9–Advances in Model-Oriented Design and Analysis: Proceedings of the …, 2010 | 24 | 2010 |