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Multiscale Structure of More-than-Binary Variables

Blake C. Stacey

Published 2017 in arXiv: Statistical Mechanics

ABSTRACT

In earlier work, my colleagues and I developed a formalism for using information theory to understand scales of organization and structure in multi-component systems. One prominent theme of that work was that the structure of a system cannot always be decomposed into pairwise relationships. In this brief communication, I refine that formalism to address recent examples which bring out that theme in a novel and subtle way. After summarizing key points of earlier papers, I introduce the crucial new concept of an ancilla component, and I apply this refinement of our formalism to illustrative examples. The goals of this brief communication are, first, to show how a simple scheme for constructing ancillae can be useful in bringing out subtleties of structure, and second, to compare this scheme with another recent proposal in the same genre.

PUBLICATION RECORD

  • Publication year

    2017

  • Venue

    arXiv: Statistical Mechanics

  • Publication date

    2017-05-10

  • Fields of study

    Mathematics, Physics, Computer Science

  • Identifiers
    arXiv 1705.03927
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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