Neural-Network-Based Solver for A Few Soft Matter Problems
Time: 2023-05-05
Published By: Xiaoni Tan
Speaker(s): Jeff Z.Y. Chen(University of Waterloo)
Time: 10:00-11:00 May 8, 2023
Venue: Room 29, Quan Zhai, BICMR
Many soft matter theoretical problems can be reformulated into minimizing a cost function, in which the field-based physical properties (ie the target functions) are adjusted to achieve the minimum. The Neural-network approach approximates the target functions by forward-feeding neural networks and the machine-learning techniques adjust the network parameters to produce the approximation to the desired solutions. The physical properties, such as the free energy, together with boundary conditions, etc, are modelled in the cost function. The decoupling between the function approximator and sampling space allows for further incorporation of the weighted Monte Carlo method. The algorithm is demonstrated here by solving a few classical theoretical problems in soft matter.