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Nicolas Boulle

Nicolas Boulle

Status
Postgraduate Student
Contact form
https://people.maths.ox.ac.uk/boulle/
+44 1865 615121
Research groups
  • Numerical Analysis

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications
Principled interpolation of Green's functions learned from data
Praveen, H Boullé, N Earls, C Computer Methods in Applied Mechanics and Engineering volume 409 (01 May 2023)
Elliptic PDE learning is provably data-efficient
Boullé, N Halikias, D Townsend, A (24 Feb 2023) http://arxiv.org/abs/2302.12888v1
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard
problem
Laakmann, F Boullé, N (22 Nov 2022) http://arxiv.org/abs/2211.12163v1
Teaching

Tutor for Approximation of functions, Part C (MT 20)

TA for Practical Numerical Analysis, MMSC (MT 19)

TA for Approximation of functions, Part C (MT 19)

 

Major / recent publications

N. Boullé, A. Paganini, P. E. Farrell, Control of bifurcation structures using shape optimization, SIAM J. Sci. Comput., 2022. arxiv

N. Boullé, A. Townsend, A generalization of the randomized singular value decomposition, ICLR, 2022. arxiv

N. Boullé, C. J. Earls, A. Townsend, Data-driven discovery of Green's functions with human-understandable deep learning, Scientific Reports, 2022. arxiv

N. Boullé, A. Townsend, Learning elliptic partial differential equations with randomized linear algebra, Found. Comput. Math., 2022. arxiv

N. Boullé, Y. Nakatsukasa, A. Townsend, Rational neural networks, NeurIPS, 2020. arxiv

Research interests
  • Numerical solution of partial differential equations
  • Deep learning
  • Approximation of functions
Prizes, awards, and scholarships

2021 IMA Leslie Fox Prize for Numerical Analysis (2nd prize)

2021 G-Research PhD Prize (2nd place)

2018-2022 Oxford-Radcliffe Scholarship

2015-2018 Scholarship from ENS Rennes

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