A Comparison of Practical Information Measures

نویسندگان

  • Mark R. Titchener
  • Ulrich Speidel
  • Jia Yang
  • M. R. Titchener
  • U. Speidel
  • J. Yang
چکیده

This report compares a variety of computable information measures for finite strings. These include Shannon’s n-block entropy, the three best known versions of the Lempel-Ziv production complexity (LZ-76, LZ-77, and LZ-78), and the lesser known T-entropy. We apply these measures to strings of known entropy, each derived from the logistic map. Pesin’s identity allows us to deduce corresponding Shannon entropies (Kolmogorov-Sinai entropies) for the sample strings, without resorting to probabilistic methods.

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تاریخ انتشار 2005