arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.08220q-bio.NCnlin.AO
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因果涌现:识别多元数据中因果涌现的信息论方法

Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data

Fernando E. Rosas, Pedro A. M. Mediano, Henrik J. Jensen, Anil K. Seth, Adam B. Barrett, Robin L. Carhart-Harris, Daniel Bor

摘要:

涌现的广义概念在各种最具挑战性的开放科学问题中是有用的-然而,很少有人提出什么构成涌现现象的定量理论。本文介绍了多元系统中因果涌现的形式理论,它研究了系统各部分的动力学与宏观特征之间的关系。我们的理论提供了一个向下因果关系的定量定义,并引入了一个补充的紧急行为模式-我们称之为因果脱钩。此外,该理论允许在大型系统中有效计算的实用标准,使我们的框架适用于一系列实际感兴趣的场景。我们在一些案例研究中说明了我们的发现,包括康威的生命游戏,雷诺兹的群集模型,和神经活动通过皮层电图测量。

英文摘要:

The broad concept of emergence is instrumental in various of the most challenging open scientific questions -- yet, few quantitative theories of what constitutes emergent phenomena have been proposed. This article introduces a formal theory of causal emergence in multivariate systems, which studies the relationship between the dynamics of parts of a system and macroscopic features of interest. Our theory provides a quantitative definition of downward causation, and introduces a complementary modality of emergent behaviour -- which we refer to as causal decoupling. Moreover, the theory allows practical criteria that can be efficiently calculated in large systems, making our framework applicable in a range of scenarios of practical interest. We illustrate our findings in a number of case studies, including Conway's Game of Life, Reynolds' flocking model, and neural activity as measured by electrocorticography.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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