224 citations · 563 across the 8 of their papers we have counts for
8 papers
Computing non-equilibrium trajectories by a deep learning approach
Eric Simonnet
Predicting the occurence of rare and extreme events in complex systems is a well-known problem in non-equilibrium physics. These events can have huge impacts on human societies. Ne…
Deep spectral computations in linear and nonlinear diffusion problems
Eric Simonnet, Mickaël D. Chekroun
We propose a flexible machine-learning framework for solving eigenvalue problems of diffusion operators in moderately large dimension. We improve on existing Neural Networks (NNs)…
Multistability and rare spontaneous transitions in barotropic -plane turbulence
Eric Simonnet, Joran Rolland, Freddy Bouchet
We demonstrate that turbulent zonal jets, analogous to Jovian ones, which are quasi-stationary, are actually metastable. After extremely long times, they randomly switch to new con…
A rare event algorithm links transitions in turbulent flows with activated nucleations
Freddy Bouchet, Joran Rolland, Eric Simonnet
Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts. As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta…
Computing transition rates for the 1-D stochastic Ginzburg--Landau--Allen--Cahn equation for finite-amplitude noise with a rare event algorithm
Joran Rolland, Freddy Bouchet, Eric Simonnet
In this paper we compute and analyse the transition rates and duration of reactive trajectories of the stochastic 1-D Allen-Cahn equations for both the Freidlin-Wentzell regime (we…
Statistical behavior of adaptive multilevel splitting algorithms in simple models
Joran Rolland, Eric Simonnet
Adaptive multilevel splitting algorithms have been introduced rather recently for estimating tail distributions in a fast and efficient way. In particular, they can be used for com…