96 citations · 290 across the 18 of their papers we have counts for
4 papers · 1 filter
PDE Acceleration: A convergence rate analysis and applications to obstacle problems
Jeff Calder, Anthony Yezzi
This paper provides a rigorous convergence rate and complexity analysis for a recently introduced framework, called PDE acceleration, for solving problems in the calculus of variat…
Accelerated PDE's for efficient solution of regularized inversion problems
Minas Benyamin, Jeff Calder, Ganesh Sundaramoorthi +1
We further develop a new framework, called PDE Acceleration, by applying it to calculus of variations problems defined for general functions on , obtaining efficient…
Accelerated Optimization in the PDE Framework: Formulations for the Manifold of Diffeomorphisms
Ganesh Sundaramoorthi, Anthony Yezzi
We consider the problem of optimization of cost functionals on the infinite-dimensional manifold of diffeomorphisms. We present a new class of optimization methods, valid for any o…
Towards an Understanding of Neural Networks in Natural-Image Spaces
Yifei Fan, Anthony Yezzi
Two major uncertainties, dataset bias and adversarial examples, prevail in state-of-the-art AI algorithms with deep neural networks. In this paper, we present an intuitive explanat…