Fig. 2: Boltzmann statistics for model systems.

The analytical free energy generated from a linear 3-state, b triangular 3-state, c symmetric 4-state model potentials and d, e, f are the corresponding 1-dimensional projections along x-direction. In the bottom, we compare the Boltzmann probabilities of g linear 3-state, h triangular 3-state, and i symmetric 4-state models for every labeled state generated from actual MD simulation and from our long short-term memory (LSTM) network. The errorbars are calculated as standard errors.