• m_‮f@discuss.onlineOP
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    4 days ago

    Apparently not:

    https://math.stackexchange.com/a/3680805

    Shannon Entropy is about compression of (long) words generated by biased die toss. And if dice entropy is H, we can’t (on average) compress results of n tosses to less than n⋅H bits.

    Kolmogorov Complexity is about compression of arbitrary words. Of course, if word is generated by the same die, it’s average complexity will be n⋅H+O(1).

    • tetris11@feddit.uk
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      4 days ago

      Of course, if word is generated by the same die, it’s average complexity will be n⋅H+O(1).

      Of course.