Origin of the uncurling metric formalism from an Inverse Problems regularization method

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.

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