Diagrammatics of information
Mee Seong Im, Clement Kam, Caden Pici
TL;DR
This paper introduces a diagrammatic approach to Shannon entropy, linking it to information theory and mutual information, and provides proofs related to dilogarithm deformations.
Contribution
It presents a novel diagrammatic perspective on Shannon entropy and establishes mathematical proofs connecting dilogarithm functions.
Findings
Diagrammatic representation of Shannon entropy
Connection between dilogarithm deformations and entropy
Mathematical proofs of dilogarithm relations
Abstract
We introduce a diagrammatic perspective for Shannon entropy created by the first author and Mikhail Khovanov and connect it to information theory and mutual information. We also give two complete proofs that the -term dilogarithm deforms to the -term infinitesimal dilogarithm.
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Taxonomy
TopicsCognitive Science and Education Research