OQUAIDO Chair
Francais

Chair of applied mathematics OQUAIDO

Optimization and uncertainty quantification for expensive data



Cross classification scientific production
Optimization
Inversion /
Calibration
Uncertainty
quantification
Modelling
Categorical inputs S1 S4 P6
Stochastic codes
Functional inputs/outputs
High number of inputs
P5 P4 J2 J5
Specific constraints S2 J6 P3
High number of data S3 J3 J4 P1
Other topics J1 J1 P7 S1 P2 C1

Software(*) (S)

  1. kergp: Kernel laboratory. This package, created during the DICE consortium, has been enriched with new functionalities: categorical variables, radial kernels, optimizer choices, etc.
  2. lineqGPR : Gaussian Process Regression Models with Linear Inequality Constraints.
  3. nestedKriging : Nested kriging models for large data sets.
  4. mixgp: Kriging models with both discrete and continuous input variables. Will be included in kergp.

Publications in journals (J)

  1. Universal Prediction Distribution for Surrogate Models, M. Ben Salem, O. Roustant, F. Gamboa, and L. Tomaso (2017), SIAM/ASA Journal on Uncertainty Quantification, 5 (1), 1086-1109.
  2. Poincaré inequalities on intervals - application to sensitivity analysis O. Roustant, F. Barthe and B. Iooss (2017), Electronic Journal of Statistics, 11 (2), 3081-3119.
  3. Variational Fourier Features for Gaussian Processes J. Hensman, N. Durrande and A. Solin (2018), Journal of Machine Learning Research, 8, 1-52.
  4. Nested Kriging predictions for datasets with a large number of observations, D. Rullière, N. Durrande, F. Bachoc and C. Chevalier (2018), Statistics and Computing, 28 (4), 849-867.
  5. Sensitivity Analysis Based on Cramér von Mises Distance, F. Gamboa, T. Klein, and A. Lagnoux (2018), SIAM/ASA Journal on Uncertainty Quantification, 6 (2), 522-548.
  6. Finite-dimensional Gaussian approximation with linear inequality constraints, A.F. López-Lopera, F. Bachoc, N. Durrande and O. Roustant (2018), SIAM/ASA J. Uncertainty Quantification, 6 (3), 1224–1255.

Preprints (P)

  1. Some properties of nested Kriging predictors, F. Bachoc, N. Durrande, D. Rullière and C. Chevalier (2017).
  2. Karhunen-Loève decomposition of Gaussian measures on Banach spaces, X. Bay and J.C. Croix (2017).
  3. Maximum likelihood estimation for Gaussian processes under inequality constraints, F. Bachoc, A. Lagnoux and A.F. López-Lopera (2018).
  4. Data-driven stochastic inversion under functional uncertainties, M.R. El Amri, C. Helbert, O. Lepreux, M. Munoz Zuniga, C. Prieur and D. Sinoquet (2018).
  5. Sequential dimension reduction for learning features of expensive black-box functions, M. Ben Salem, F. Bachoc, O. Roustant, F. Gamboa F and L. Tomaso (2018).
  6. Group kernels for Gaussian process metamodels with categorical inputs, O. Roustant, E. Padonou, Y. Deville, A. Clément, G. Perrin, J. Giorla and H. Wynn (2018).
  7. Profile extrema for visualizing and quantifying uncertainties on excursion regions. Application to coastal flooding., D. Azzimonti, D. Ginsbourger, J. Rohmer and D. Idier (2018).

Conference proceedings (C)

  1. Gaussian Processes For Computer Experiments, F. Bachoc, E. Contal, H. Maatouk, and D. Rullière (2017), ESAIM: Proceedings and surveys, proceedings of MAS2016 conference, 60, p. 163-179.

(*) One of the Chair activities is to develop opensource R packages that are later available on the CRAN archive website.