聖塔非研究所

二元馬可夫過程的預測和生成:有限狀態狐狸能抓住馬可夫老鼠嗎?

2018 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Understanding the generative mechanism of a natural system is a vital component of the scientific method. Here, we investigate one of the fundamental steps toward this goal by presenting …

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論文資訊

  • 類型:已發表論文
  • 日期:2018

摘要

Understanding the generative mechanism of a natural system is a vital component of the scientific method. Here, we investigate one of the fundamental steps toward this goal by presenting the minimal generator of an arbitrary binary 馬可夫 process. This is a class of processes whose predictive model is well known. Surprisingly, the generative model requires three distinct topologies for different regions of parameter space. We show that a previously proposed generator for a particular set of binary 馬可夫 processes is, in fact, not minimal. Our results shed the first quantitative light on the relative (minimal) costs of prediction and generation. We find, for instance, that the difference between prediction and generation is maximized when the process is approximately independently, identically d

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