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原文連結
論文資訊
- 類型：已發表論文
- 日期：2009
摘要
We show why the amount of 資訊 communicated between the past and future-the excess 熵-is not in general the amount of 資訊 stored in the present-the 統計 complexity. This is a puzzle, and a long-standing one, since the former describes observed behavior, while optimal prediction requires the latter. We present a closed-form expression for the excess 熵 in terms of optimal causal predictors and retrodictors-both epsilon machines of 計算 mechanics. This leads us to two new system invariants: causal irreversibility-the asymmetry between the causal representations-and crypticity-the degree to which a process hides its state 資訊.
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