Origin of the uncurling metric formalism from an Inverse Problems regularization method
Rings and Algebras
2023-12-11 v7
Abstract
As we have previously shown, recognition of an algebra's group of uncurling metrics leads to a generalization of the usual algebra norm and a novel set of isomorphism invariants. It is herein detailed how this arose in the analysis of an unusual Inverse Problems regularization method.
Cite
@article{arxiv.2209.14137,
title = {Origin of the uncurling metric formalism from an Inverse Problems regularization method},
author = {Fred Greensite},
journal= {arXiv preprint arXiv:2209.14137},
year = {2023}
}
Comments
The latest version improves the description of how uncurling metric groups arise from a geometrical analysis of the regularization method. arXiv admin note: substantial text overlap with arXiv:2207.11358