16 citations · 17 across the 11 of their papers we have counts for
3 papers · 1 filter
The narrow escape problem in arbitrary dimension
Louis Carillo, Tony Lelièvre, Thomas Normand +2
The narrow escape problem is a prototypical example for studying entropic metastability, motivated by the analysis of biological and chemical systems. The problem concerns the dete…
Approximating committor functions: Objective functions and training data sampling
Thomas Pigeon, Gabriel Stoltz, Tony Lelièvre
Many molecular dynamics simulations aim at studying transitions between two states (from reactants to products). In this context, the committor function (which gives for a given mo…
Adaptive Momentum and Nonlinear Damping for Neural Network Training
Aikaterini Karoni, Rajit Rajpal, Benedict Leimkuhler +1
Momentum Stochastic Gradient Descent (mSGD) relies on a fixed momentum coefficient shared across all parameters, failing to account for the heterogeneous structure of modern loss l…