Title
Fixing Implicit Derivatives: Trust-Region Based Learning of Continuous Energy Functions
Abstract
We present a new technique for the learning of continuous energy functions that we refer to as Wibergian Learning. One common approach to inverse problems is to cast them as an energy minimisation problem, where the minimum cost solution found is used as an estimator of hidden parameters. Our new approach formally characterises the dependency between weights that control the shape of the energy function, and the location of minima, by describing minima as fixed points of optimisation methods. This allows for the use of gradient-based end-to-end training to integrate deep-learning and the classical inverse problem methods. We show how our approach can be applied to obtain state-of-the-art results in the diverse applications of tracker fusion and multiview 3D reconstruction.
Year
Venue
Keywords
2019
NeurIPS
3d reconstruction
Field
DocType
Citations 
Trust region,Mathematical optimization,Force field (chemistry),Computer science,Derivative (finance)
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Chris Russell1113250.95
Matteo Toso250.74
Neill D. F. Campbell330318.10