Dr Bertrand Gauthier

2024

• Hutchings, M. and Gauthier, B. 2024. Energy-based sequential sampling for low-rank PSD-matrix approximation. SIAM Journal on Mathematics of Data Science 6(4), pp. 1055-1077. (10.1137/23M162449X)
• Gauthier, B. 2024. Kernel embedding of measures and low-rank approximation of integral operators. Positivity 28, article number: 29. (10.1007/s11117-024-01041-8)

2023

• Hutchings, M. and Gauthier, B. 2023. Local optimisation of Nyström samples through stochastic gradient descent. Presented at: The 8th International Online & Onsite Conference on Machine Learning, Optimization, and Data Science, Siena, Italy, September 18 – 22, 2022. Vol. 13810. Springer pp. 123-140., (10.1007/978-3-031-25599-1_10)

2018

• Gauthier, B. and Suykens, J. A. K. 2018. Optimal quadrature-sparsification for integral operator approximation. SIAM Journal on Scientific Computing 40(5), pp. A3636-A3674. (10.1137/17M1123614)

2017

• Gauthier, B. and Pronzato, L. 2017. Convex relaxation for IMSE optimal design in random-field models. Computational Statistics and Data Analysis 113, pp. 375-394. (10.1016/j.csda.2016.10.018)

2016

• Gauthier, B. and Pronzato, L. 2016. Approximation of IMSE-optimal designs via quadrature rules and spectral decomposition. Communications in Statistics - Simulation and Computation 45(5), pp. 1600-1612. (10.1080/03610918.2014.972518)
• Gauthier, B. and Pronzato, L. 2016. Optimal design for prediction in random field models via covariance kernel expansions. In: Kunert, J., Muller, C. H. and Atkinson, A. C. eds. mODa 11 - Advances in Model-Oriented Design and Analysis: Proceedings of the 11th International Workshop in Model-Oriented Design and Analysis held in Hamminkeln, Germany, June 12-17, 2016. Springer, pp. 103-111., (10.1007/978-3-319-31266-8_13)

2014

• Gauthier, B. and Pronzato, L. 2014. Spectral approximation of the IMSE criterion for optimal designs in kernel-based interpolation models. SIAM/ASA Journal on Uncertainty Quantification 2(1), pp. 805-825. (10.1137/130928534)

2012

• Gauthier, B. and Bay, X. 2012. Spectral approach for kernel-based interpolation. Annales de la faculté des sciences de Toulouse Mathématiques 21(3), pp. 439-479. (10.5802/afst.1341)