1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.OC2021★ 1 cited
Optimal Control, Numerics, and Applications of Fractional PDEs
Harbir Antil, Thomas S. Brown, Ratna Khatri +3
This article provides a brief review of recent developments on two nonlocal operators: fractional Laplacian and fractional time derivative. We start by accounting for several appli…
math.OC2020
Fractional Deep Neural Network via Constrained Optimization
Harbir Antil, Ratna Khatri, Rainald Löhner +1
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 th…
eess.IV2019
Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography
Harbir Antil, Zichao Di, Ratna Khatri
In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction…