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Dr Bertrand Gauthier
- Ar gael fel goruchwyliwr ôl-raddedig
Timau a rolau for Bertrand Gauthier
Darlithydd
Trosolwyg
Rwy'n aelod o'r Grŵp Ymchwil Ystadegau a Gwyddor Data.
Mae fy ymchwil yn gorwedd ar y rhyngwyneb rhwng mathemateg a gwyddor data, ac mae'n canolbwyntio ar ddylunio a dadansoddi strategaethau dysgu a modelu sy'n seiliedig ar ddata, sy'n dibynnu ar broblemau. Mae gen i ddiddordeb arbennig mewn archwilio'r cysylltiadau rhwng dysgu ystadegol, theori brasamcanu a mathemateg gyfrifiadurol, gyda'r nod o ddatblygu dulliau damcaniaethol cadarn ac effeithlon o fynd i'r afael â phroblemau cymhleth.
Cyhoeddiad
2025
- Boucher, A., Beevers, C., Gauthier, B. and Roldan, A. 2025. Machine learning force field for optimization of isolated and supported transition metal particles. Journal of Chemical Theory and Computation 21(5), pp. 2626-2637. (10.1021/acs.jctc.4c01606)
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)
Adrannau llyfrau
- 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)
Cynadleddau
- 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)
Erthyglau
- Boucher, A., Beevers, C., Gauthier, B. and Roldan, A. 2025. Machine learning force field for optimization of isolated and supported transition metal particles. Journal of Chemical Theory and Computation 21(5), pp. 2626-2637. (10.1021/acs.jctc.4c01606)
- 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)
- 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)
- 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)
- 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. 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)
- 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)
Ymchwil
Mae fy ymchwil yn canolbwyntio ar y themâu canlynol:
- brasamcanu sy'n seiliedig ar samplu mewn dysgu ystadegol a modelu stocastig,
- strategaethau rhifiadol ar gyfer dysgu peirianyddol ar raddfa fawr ac algebra llinol bras,
- atgynhyrchu gofodau Hilberts cnewyllyn,
- dulliau sbectrol mewn dysgu ystadegol,
- dulliau llif gronynnau mewn dysgu ystadegol,
- brasamcan prin a modelu graffigol.
Addysgu
Modiwlau cyfredol:
- Dadansoddiad Data Multivariate (Blwyddyn 3, MA3506)
- Ystadegau Cyfrifiadurol (Blwyddyn 2, MA2502)
Modiwlau blaenorol (ym Mhrifysgol Caerdydd):
- Sylfeini Ystadegau a Gwyddor Data (MSc, MAT022)
Prosiectau blwyddyn olaf:
- Bob blwyddyn, rwy'n cynnig detholiad o brosiectau ar bynciau amrywiol. Os ydych chi'n astudio mathemateg ym Mhrifysgol Caerdydd ac os oes gennych ddiddordeb mewn gwneud prosiect sy'n ymwneud â mathemateg gwyddor data, mae croeso i chi gysylltu â mi.
Rwy'n Gymrawd o'r Academi Addysg Uwch.
Bywgraffiad
Cysylltiadau cyfredol a gorffennol:
- Prifysgol Caerdydd - Ysgol Mathemateg, ers 2017.
- Ymchwilydd ôl-ddoethurol yn KU Leuven (Gwlad Belg), Canolfan ESAT-STADIUS ar gyfer Systemau Deinamig, Prosesu Signal a Dadansoddeg Data, 2015-2016.
- Ymchwilydd ôl-ddoethurol yn CNRS - Université de Nice-Sophia Antipolis (Ffrainc), Laboratoire I3S, 2012-2014
- Cynorthwyydd ymchwil ac addysgu yn Université de Saint-Étienne (Ffrainc), Adran Mathemateg, Institut Camille Jordan, 2011-2012.
- Myfyriwr PhD a chynorthwyydd addysgu yn École des Mines de Saint-Étienne (Ffrainc), 2007-2011.
Meysydd goruchwyliaeth
Goruchwyliaeth gyfredol
Prosiectau'r gorffennol
Arolygiaeth:
- Matthew Hutchings, Strategaethau samplu seiliedig ar ynni ar gyfer brasamcan gradd isel matricsau lled-bendant positif, 2024 (gyda Kirstin Strokorb).
Ail neu gyd-oruchwyliaeth:
- Michela Corradini, Trefn stocastig a brasamcan prin o ddibyniaeth eithafol amlamrywiol, 2024 (goruchwyliwr cyntaf: Kirstin Strokorb).
- Zeljka Salinger, Modelau stocastig ar gyfer cynyddiadau recordiadau EEG gan ddefnyddio trylediadau cynffon trwm ac amlfoddol, 2023 (goruchwyliwr cyntaf: Nikolai Leonenko).
- Alya Alzahrani, Dosbarthiad peiriannau fector cymorth sy'n seiliedig ar amlen, 2022 (goruchwyliwr cyntaf: Andreas Artemiou).
Contact Details
GauthierB@caerdydd.ac.uk
+44 29208 75544
Abacws, Ystafell 2.07, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
+44 29208 75544
Abacws, Ystafell 2.07, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
Themâu ymchwil
Arbenigeddau
- Ystadegau cyfrifiadurol
- Dysgu peirianyddol
- Mathemateg rhifiadol a chyfrifol