Nicolas Boullé

Astrid Herremans

Daan Huybrechs

SIAM J. Sci. Comput., 2024

Operator learning regularization for macroscopic permeability prediction in dual-scale flow problem.

[BibT_eX]

[DOI]

CoRR, 2024

Density estimation with LLMs: a geometric investigation of in-context learning trajectories.

[BibT_eX]

[DOI]

CoRR, 2024

Large Language Models as Markov Chains.

[BibT_eX]

[DOI]

Oussama Zekri

Ambroise Odonnat

Abdelhakim Benechehab

Linus Bleistein

Ievgen Redko

CoRR, 2024

Lines of Thought in Large Language Models.

[BibT_eX]

[DOI]

CoRR, 2024

Structure-Preserving Operator Learning.

[BibT_eX]

[DOI]

Nacime Bouziani

CoRR, 2024

Multiplicative Dynamic Mode Decomposition.

[BibT_eX]

[DOI]

Matthew J. Colbrook

CoRR, 2024

Randomized Nyström approximation of non-negative self-adjoint operators.

[BibT_eX]

[DOI]

David Persson

Daniel Kressner

CoRR, 2024

Operator learning without the adjoint.

[BibT_eX]

[DOI]

CoRR, 2024

On the Convergence of Hermitian Dynamic Mode Decomposition.

[BibT_eX]

[DOI]

Matthew J. Colbrook

CoRR, 2024

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

[BibT_eX]

[DOI]

Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing, 2024

2023

Optimization of Hopf Bifurcation Points.

[BibT_eX]

[DOI]

Marie E. Rognes

SIAM J. Sci. Comput., June, 2023

Learning Elliptic Partial Differential Equations with Randomized Linear Algebra.

[BibT_eX]

[DOI]

Found. Comput. Math., April, 2023

A Mathematical Guide to Operator Learning.

[BibT_eX]

[DOI]

CoRR, 2023

Elliptic PDE learning is provably data-efficient.

[BibT_eX]

[DOI]

Diana Halikias

CoRR, 2023

2022

Control of Bifurcation Structures using Shape Optimization.

[BibT_eX]

[DOI]

Alberto Paganini

SIAM J. Sci. Comput., 2022

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

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2022

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

[BibT_eX]

[DOI]

Fabian Laakmann

CoRR, 2022

Principled interpolation of Green's functions learned from data.

[BibT_eX]

[DOI]

Harshwardhan Praveen

Christopher J. Earls

CoRR, 2022

Data-driven discovery of Green's functions.

[BibT_eX]

[DOI]

CoRR, 2022

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

[BibT_eX]

[DOI]

I. Newell

Panayotis G. Kevrekidis

CoRR, 2022

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

[BibT_eX]

[DOI]

CoRR, 2022

Optimal control of Hopf bifurcations.

[BibT_eX]

[DOI]

Marie E. Rognes

CoRR, 2022

A generalization of the randomized singular value decomposition.

[BibT_eX]

[DOI]

Proceedings of the Tenth International Conference on Learning Representations, 2022

2021

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

[BibT_eX]

[DOI]

Christopher J. Earls

CoRR, 2021

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

[BibT_eX]

[DOI]

Jonasz Slomka

CoRR, 2021

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

[BibT_eX]

[DOI]

Vassilios Dallas

CoRR, 2021

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

[BibT_eX]

[DOI]

CoRR, 2021

2020

Computing with Functions in the Ball.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

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

[BibT_eX]

[DOI]

Efstathios G. Charalampidis

Efstathios G. Charalampidis

Panayotis G. Kevrekidis

CoRR, 2020

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

[BibT_eX]

[DOI]

Panayotis G. Kevrekidis

Commun. Nonlinear Sci. Numer. Simul., 2020

Rational neural networks.

[BibT_eX]

[DOI]

Yuji Nakatsukasa