activity
20192026
most citedConstructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach

49 citations · 271 across the 22 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

cond-mat.mes-hall2021★ 7 cited

Parametrically driven THz magnon-pairs: predictions towards ultimately fast and minimally dissipative switching

G. Fabiani, J. H. Mentink

Findings ways to achieve switching between magnetic states at the fastest possible time scale that simultaneously dissipates the least amount of energy is one of the main challenge…

math.NA2021★ 1 cited

Numerical Solution of Stiff ODEs with Physics-Informed RPNNs

Evangelos Galaris, Gianluca Fabiani, Francesco Calabrò +2

We propose a numerical method based on physics-informed Random Projection Neural Networks for the solution of Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs…

cond-mat.str-el2021★ 34 cited

Role of stochastic noise and generalization error in the time propagation of neural-network quantum states

Damian Hofmann, Giammarco Fabiani, Johan H. Mentink +2

Neural-network quantum states (NQS) have been shown to be a suitable variational ansatz to simulate out-of-equilibrium dynamics in two-dimensional systems using time-dependent vari…

math.NA2021★ 6 cited

Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines

Gianluca Fabiani, Francesco Calabrò, Lucia Russo +1

We address a new numerical scheme based on a class of machine learning methods, the so-called Extreme Learning Machines with both sigmoidal and radial-basis functions, for the comp…

cond-mat.mes-hall2021★ 22 cited

Supermagnonic propagation in two-dimensional antiferromagnets

G. Fabiani, M. D. Bouman, J. H. Mentink

We investigate the propagation of magnons after ultrashort perturbations of the exchange interaction in the prototype two-dimensional Heisenberg antiferromagnet. Using the recently…