Ad-hoc as the use of a circuit solver might seem, there is some quite interesting machine learning literature on the use of resistive networks to do "graph tran

Ad-hoc as the use of a circuit solver might seem, there is some quite interesting machine learning literature on the use of resistive networks to do "graph transduction", e.g.: Mark Herbster, Resistive geometry for graph-based transduction http://eprints.pascal-network.org/archive/00006759/ http://eprints.pascal-network.org/archive/00006759/ The application in this paper is fairly similar too (spam detection in a large graph)