Bertrand Gauthier

Dr Bertrand Gauthier is a Lecturer at the School of Mathematics, Cardiff University, and a member of the Statistics and Data Science Research Group. His work bridges mathematics and data science, focusing on sampling-based approximation, spectral methods, and computational strategies for large-scale machine learning and uncertainty quantification.

• Current research: Sampling strategies, kernel methods, sparse approximation
• Past affiliations: KU Leuven (2015-2016), CNRS - Université de Nice (2012-2014), Université de Saint-Étienne (2007-2011)

Research Interests include:

• Statistical learning and approximation theory
• Kernel-based modeling and integral operator approximation
• Low-rank matrix techniques and particle-flow methods

Publications highlight his work on Nyström sampling optimization, kernel embedding of measures, and spectral decomposition for IMSE-optimal designs, spanning journals like SIAM Journal on Mathematics of Data Science and Positivity. Collaborations include researchers such as Matthew Hutchings and Kirstin Strokorb.

Scientific Awards:

• Fellow of The Higher Education Academy

Supervision includes postgraduate students Harry Bond, Alexandra Zverovich, and past supervisees like Matthew Hutchings (2024) and Michela Corradini (2024). His teaching covers Multivariate Data Analysis and Computational Statistics at undergraduate and postgraduate levels.

Labs/Teams: Statistics and Data Science Research Group, Cardiff University School of Mathematics.