摘要 We give exact formulae for a wide family of compl

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論文資訊

• 類型：已發表論文
• 日期：2016

摘要

We give exact formulae for a wide family of complexity measures that capture the organization of hidden 非線性 processes. The spectral decomposition of operator-valued functions leads to closed form expressions involving the full eigenvalue spectrum of the mixed-state presentation of a process's epsilon-machine causal-state dynamic. Measures include correlation functions, power spectra, past-future mutual 資訊, transient and 同步化 資訊s, and many others. As a result, a direct and complete analysis of intrinsic computation is now available for the temporal organization of finitary hidden 馬可夫 models and 非線性 dynamical systems with generating partitions and for the spatial organization in one-dimensional systems, including spin systems, 細胞自動機, and complex materials via chaotic crystallography.

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