This repository contains the code used to generate the results found in the corresponding paper, along with the data used to produce figures.
Each code folder is named after the model it contains the code for.
In finite time, where we learn a time-dependent dynamics producing constrained trajectories, this includes:
- Brownian bridges: Brownian trajectories beginning at 0 and ending at 1.
- Multiple pathways: A potential with two degenerate classes of barrier-crossing trajectories between two minima. We study the ensemble of trajectories between these two minima, finding a dynamics which samples both classes of paths equally.
- Mueller-Brown: A potential with steep barriers and two minima connected by a shallow metastable intermediate well. We study diffusive trajectories going across the metastable intermediate well to go from a local to a deep global minimum.
In infinite time, where we learn a time-homogenous dynamics in the stationary state, we consider a driven particle in a periodic potential on a ring, studying the statistics of its time-integrated velocity. We consider two cases:
- Overdamped: Here the dynamical system consists of only the particle position, evolving according to a drift force and noise.
- Underdamped: Here the dynamical system consists of the position evolving according to a velocity, where the velocity evolves with a drift force and noise.
Each data folder is associated with a single figure in the paper.