聖塔非研究所

摘要 The concept of effective complexity of an object

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The concept of effective complexity of an object as the minimal description length of its regularities has been initiated by Gell Mann and Lloyd. The regularities are modeled by means of …

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  • 類型:已發表論文
  • 日期:2011

摘要

The concept of effective complexity of an object as the minimal description length of its regularities has been initiated by Gell-Mann and Lloyd. The regularities are modeled by means of ensembles, which is the probability distributions on finite binary strings. In our previous paper [1] we propose a definition of effective complexity in precise terms of algorithmic 資訊 theory. Here we investigate the effective complexity of binary strings generated by stationary, in general not computable, processes. We show that under not too strong conditions long typical process realizations are effectively simple. Our results become most transparent in the context of coarse effective complexity which is a modification of the original notion of effective complexity that needs less parameters in its defi

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