Normal Factor Graphs: A Diagrammatic Approach to Linear Algebra
Ali Al-Bashabsheh, Yongyi Mao, Pascal O. Vontobel
TL;DR
This paper introduces normal factor graphs as a visual tool for representing linear algebra concepts, demonstrating their utility through examples and resolving a conjecture related to the Pfaffian.
Contribution
It presents a novel diagrammatic approach to linear algebra using NFGs and settles a conjecture of Peterson on the Pfaffian.
Findings
NFGs provide an intuitive diagrammatic representation of linear algebra concepts.
The approach successfully settles Peterson's conjecture on the Pfaffian.
Examples illustrate the effectiveness of NFGs in encoding linear algebra ideas.
Abstract
Inspired by some new advances on normal factor graphs (NFGs), we introduce NFGs as a simple and intuitive diagrammatic approach towards encoding some concepts from linear algebra. We illustrate with examples the workings of such an approach and settle a conjecture of Peterson on the Pfaffian.
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