通过熵共轭表征高阶相互依赖关系。

IF 5.8 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Communications Physics Pub Date : 2025-01-01 Epub Date: 2025-08-23 DOI:10.1038/s42005-025-02250-7
Fernando E Rosas, Aaron J Gutknecht, Pedro A M Mediano, Michael Gastpar
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引用次数: 0

摘要

高阶现象在复杂系统中普遍存在,但它们的正式表征仍然是一个艰巨的挑战。文献提供了捕获高阶相互依赖性的各种信息论量,但它们的概念基础和相互关系并没有得到很好的理解。缺乏支持这些量的统一原则阻碍了为指导应用而有原则地选择适当的分析工具。在这里,我们引入熵共轭作为一种形式原理来研究可能的高阶测度的空间,这澄清了现有高阶测度的性质,同时揭示了文献中的空白。此外,熵共轭导致对称和偏对称的概念,这是确保高阶相互依赖性平衡的关键指标。我们的分析强调了o信息作为独特的偏对称度量,其估计成本与系统规模呈线性关系,在现实世界和模拟系统中的高阶量之间自发地作为自然变化轴出现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Characterising high-order interdependence via entropic conjugation.

Characterising high-order interdependence via entropic conjugation.

Characterising high-order interdependence via entropic conjugation.

Characterising high-order interdependence via entropic conjugation.

High-order phenomena are pervasive across complex systems, yet their formal characterisation remains a formidable challenge. The literature provides various information-theoretic quantities that capture high-order interdependencies, but their conceptual foundations and mutual relationships are not well understood. The lack of unifying principles underpinning these quantities impedes a principled selection of appropriate analytical tools for guiding applications. Here we introduce entropic conjugation as a formal principle to investigate the space of possible high-order measures, which clarifies the nature of the existent high-order measures while revealing gaps in the literature. Additionally, entropic conjugation leads to notions of symmetry and skew-symmetry which serve as key indicators ensuring a balanced account of high-order interdependencies. Our analyses highlight the O-information as the unique skew-symmetric measure whose estimation cost scales linearly with system size, which spontaneously emerges as a natural axis of variation among high-order quantities in real-world and simulated systems.

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来源期刊
Communications Physics
Communications Physics Physics and Astronomy-General Physics and Astronomy
CiteScore
8.40
自引率
3.60%
发文量
276
审稿时长
13 weeks
期刊介绍: Communications Physics is an open access journal from Nature Research publishing high-quality research, reviews and commentary in all areas of the physical sciences. Research papers published by the journal represent significant advances bringing new insight to a specialized area of research in physics. We also aim to provide a community forum for issues of importance to all physicists, regardless of sub-discipline. The scope of the journal covers all areas of experimental, applied, fundamental, and interdisciplinary physical sciences. Primary research published in Communications Physics includes novel experimental results, new techniques or computational methods that may influence the work of others in the sub-discipline. We also consider submissions from adjacent research fields where the central advance of the study is of interest to physicists, for example material sciences, physical chemistry and technologies.
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