46 citations · 53 across the 3 of their papers we have counts for
3 papers
Studying First Passage Problems using Neural Networks: A Case Study in the Slit-Well Microfluidic Device
Andrew M. Nagel, Martin Magill, Hendrick W. de Haan
This study presents deep neural network solutions to a time-integrated Smoluchowski equation modeling the mean first passage time of nanoparticles traversing the slit-well microflu…
Neural Network Solutions to Differential Equations in Non-Convex Domains: Solving the Electric Field in the Slit-Well Microfluidic Device
Martin Magill, Andrew M. Nagel, Hendrick W. de Haan
The neural network method of solving differential equations is used to approximate the electric potential and corresponding electric field in the slit-well microfluidic device. The…
Neural Networks Trained to Solve Differential Equations Learn General Representations
Martin Magill, Faisal Qureshi, Hendrick W. de Haan
We introduce a technique based on the singular vector canonical correlation analysis (SVCCA) for measuring the generality of neural network layers across a continuously-parametrize…