
arXiv: 2111.06865
In the last three decades, several measures of complexity have been proposed. Up to this point, most of such measures have only been developed for finite spaces. In these scenarios the baseline distribution is uniform. This makes sense because, among other things, the uniform distribution is the measure of maximum entropy over the relevant space. Active information traditionally assumes a finite interval universe of discourse but can be extended to other cases where maximum entropy is defined. Illustrating this is the purpose of this paper. Disequilibrium from maximum entropy, measured as active information, can be evaluated from baselines with unbounded support.
15 pages, 1 figure
FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, Mathematics - Statistics Theory, 94A17, Statistics Theory (math.ST), Physics - Data Analysis, Statistics and Probability, FOS: Mathematics, Data Analysis, Statistics and Probability (physics.data-an)
FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, Mathematics - Statistics Theory, 94A17, Statistics Theory (math.ST), Physics - Data Analysis, Statistics and Probability, FOS: Mathematics, Data Analysis, Statistics and Probability (physics.data-an)
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