arXiv:2607.17369cs.FLcs.DS2026-07

提出右到左自动性预测算法,解决字符串复杂度建模新问题。

Stringological sequence prediction II: Right-to-left automaticity and related complexity measures

  • 设计基于右到左自动性的高效预测算法
  • 实现对混合自动序列的准确预测
  • 适用于字符串复杂度分析与序列建模场景

在前期工作中,我们开始研究适配字符串复杂度度量的序列预测算法。其中考虑了一种从左到右(最高位优先)的自动性度量。本文提出一种适配其对偶——从右到左(最低位优先)自动性的统计与计算高效的算法,该方法在实际应用中表现出显著差异。此外,我们还设计了一种针对更丰富表达能力的度量——‘算术重复复杂度’的预测算法,该度量可用于预测所谓的混合自动序列。

原文摘要 · Abstract (English)

In a previous paper, we began the study of sequence prediction algorithms adapted to stringological word complexity measures. One measure we considered was left-to-right (most-significant-digit-first) automaticity. Here, we show a statistically and computationally efficient algorithm adapted to the ``dual'' right-to-left (least-significant-digit-first) automaticity, which turns out to be substantially different for our purpose. We also demonstrate a prediction algorithm for a more expressive measure that we call ``arithmetic repetition complexity''. In particular, the latter can be used for predicting the so-called mix-automatic sequences.

序列预测字符串复杂度自动性

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