聖塔非研究所

摘要 Identifying and quantifying memory are often crit

2016-03-02 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Identifying and quantifying memory are often critical steps in developing a mechanistic understanding of 隨機 processes. These are particularly challenging and necessary when exploring proc…

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  • 類型:已發表論文
  • 日期:2016-03-02

摘要

Identifying and quantifying memory are often critical steps in developing a mechanistic understanding of 隨機 processes. These are particularly challenging and necessary when exploring processes that exhibit long-range correlations. The most common signatures employed rely on second-order temporal statistics and lead, for example, to identifying long memory in processes with power-law autocorrelation function and Hurst exponent greater than 1/2. However, most 隨機 processes hide their memory in higher-order temporal correlations. 資訊 measures specifically, divergences in the mutual 資訊 between a process' past and future (excess 熵) and minimal predictive memory stored in a process' causal states (統計 complexity) provide a different way to identify long memory in processes with higher-order tempora

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