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Nicolas Boullé
Nicolas Boullé
Research Fellow, University of Cambridge
Verified email at cam.ac.uk - Homepage
Title
Cited by
Cited by
Year
Rational neural networks
N Boullé, Y Nakatsukasa, A Townsend
Advances in neural information processing systems 33, 14243-14253, 2020
692020
Classification of chaotic time series with deep learning
N Boullé, V Dallas, Y Nakatsukasa, D Samaddar
Physica D: Nonlinear Phenomena 403, 132261, 2020
532020
Data-driven discovery of Green’s functions with human-understandable deep learning
N Boullé, CJ Earls, A Townsend
Scientific reports 12 (1), 4824, 2022
41*2022
Learning elliptic partial differential equations with randomized linear algebra
N Boullé, A Townsend
Foundations of Computational Mathematics 23 (2), 709-739, 2023
292023
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross–Pitaevskii equations using deflated continuation
EG Charalampidis, N Boullé, PE Farrell, PG Kevrekidis
Communications in Nonlinear Science and Numerical Simulation 87, 105255, 2020
252020
A generalization of the randomized singular value decomposition
N Boullé, A Townsend
International Conference on Learning Representations, 2022
202022
Learning Green’s functions associated with time-dependent partial differential equations
N Boullé, S Kim, T Shi, A Townsend
Journal of Machine Learning Research 23 (218), 1-34, 2022
192022
Deflation-based identification of nonlinear excitations of the three-dimensional Gross-Pitaevskii equation
N Boullé, EG Charalampidis, PE Farrell, PG Kevrekidis
Physical Review A 102 (5), 053307, 2020
162020
Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation
N Boullé, V Dallas, PE Farrell
Physical Review E 105 (5), 055106, 2022
122022
Computing with functions in the ball
N Boullé, A Townsend
SIAM journal on scientific computing 42 (4), C169-C191, 2020
102020
Control of bifurcation structures using shape optimization
N Boullé, PE Farrell, A Paganini
SIAM Journal on Scientific Computing 44 (1), A57-A76, 2022
82022
Accurate numerical simulation of electrodiffusion and water movement in brain tissue
AJ Ellingsrud, N Boullé, PE Farrell, ME Rognes
Mathematical Medicine and Biology: A Journal of the IMA 38 (4), 516-551, 2021
82021
Elliptic PDE learning is provably data-efficient
N Boullé, D Halikias, A Townsend
Proceedings of the National Academy of Sciences 120 (39), e2303904120, 2023
72023
A Mathematical Guide to Operator Learning
N Boullé, A Townsend
arXiv preprint arXiv:2312.14688, 2023
42023
Optimization of Hopf bifurcation points
N Boullé, PE Farrell, ME Rognes
SIAM Journal on Scientific Computing 45 (3), B390-B411, 2023
4*2023
Two-component three-dimensional atomic Bose-Einstein condensates supporting complex stable patterns
N Boullé, I Newell, PE Farrell, PG Kevrekidis
Physical Review A 107 (1), 012813, 2023
42023
An optimal complexity spectral method for Navier--Stokes simulations in the ball
N Boullé, J Słomka, A Townsend
arXiv preprint arXiv:2103.16638, 2021
32021
Operator learning without the adjoint
N Boullé, D Halikias, SE Otto, A Townsend
arXiv preprint arXiv:2401.17739, 2024
12024
LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law
TJB Liu, N Boullé, R Sarfati, CJ Earls
arXiv preprint arXiv:2402.00795, 2024
2024
On the Convergence of Hermitian Dynamic Mode Decomposition
N Boullé, MJ Colbrook
arXiv preprint arXiv:2401.03192, 2024
2024
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