Nicolas Boullé

According to our database, Nicolas Boullé authored at least 26 papers between 2019 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law.

Toni J. B. Liu, Nicolas Boullé, Raphaël Sarfati, Christopher J. Earls

CoRR, 2024

Operator learning without the adjoint.

Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend

CoRR, 2024

On the Convergence of Hermitian Dynamic Mode Decomposition.

Nicolas Boullé, Matthew J. Colbrook

CoRR, 2024

2023

Optimization of Hopf Bifurcation Points.

Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes

SIAM J. Sci. Comput., June, 2023

Learning Elliptic Partial Differential Equations with Randomized Linear Algebra.

Nicolas Boullé, Alex Townsend

Found. Comput. Math., April, 2023

A Mathematical Guide to Operator Learning.

Nicolas Boullé, Alex Townsend

CoRR, 2023

Multivariate rational approximation of functions with curves of singularities.

Nicolas Boullé, Astrid Herremans, Daan Huybrechs

CoRR, 2023

Elliptic PDE learning is provably data-efficient.

Nicolas Boullé, Diana Halikias, Alex Townsend

CoRR, 2023

2022

Control of Bifurcation Structures using Shape Optimization.

Nicolas Boullé, Patrick E. Farrell, Alberto Paganini

SIAM J. Sci. Comput., 2022

Learning Green's functions associated with time-dependent partial differential equations.

Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend

J. Mach. Learn. Res., 2022

Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem.

Fabian Laakmann, Nicolas Boullé

CoRR, 2022

Principled interpolation of Green's functions learned from data.

Harshwardhan Praveen, Nicolas Boullé, Christopher J. Earls

CoRR, 2022

Data-driven discovery of Green's functions.

Nicolas Boullé

CoRR, 2022

Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns.

Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis

CoRR, 2022

Learning Green's functions associated with parabolic partial differential equations.

Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend

CoRR, 2022

Optimal control of Hopf bifurcations.

Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes

CoRR, 2022

A generalization of the randomized singular value decomposition.

Nicolas Boullé, Alex Townsend

Proceedings of the Tenth International Conference on Learning Representations, 2022

2021

Data-driven discovery of physical laws with human-understandable deep learning.

Nicolas Boullé, Christopher J. Earls, Alex Townsend

CoRR, 2021

An optimal complexity spectral method for Navier-Stokes simulations in the ball.

Nicolas Boullé, Jonasz Slomka, Alex Townsend

CoRR, 2021

Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation.

Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell

CoRR, 2021

Accurate numerical simulation of electrodiffusion and water movement in brain tissue.

Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes

CoRR, 2021

2020

Computing with Functions in the Ball.

Nicolas Boullé, Alex Townsend

SIAM J. Sci. Comput., 2020

Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation.

Nicolas Boullé, E. G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis

CoRR, 2020

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation.

E. G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, Panayotis G. Kevrekidis

Commun. Nonlinear Sci. Numer. Simul., 2020

Rational neural networks.

Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019

Classification of chaotic time series with deep learning.

Nicolas Boullé, Vassilios Dallas, Yuji Nakatsukasa, D. Samaddar

CoRR, 2019