no code implementations • 1 Apr 2020 • Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma
This paper introduces a novel algorithmic framework for a deep neural network (DNN), which in a mathematically rigorous manner, allows us to incorporate history (or memory) into the network -- it ensures all layers are connected to one another.
no code implementations • 22 Jul 2019 • Harbir Antil, Zichao, Di, Ratna Khatri
As an example, we consider tomographic reconstruction as a model problem and show an improvement in reconstruction quality, especially for limited data, via fractional Laplacian regularization.