Title
On the Gaussianity of Kolmogorov Complexity of Mixing Sequences.
Abstract
It has been proved that for all stationary and ergodic processes the average Kolmogorov complexity of the first n observations converges almost surely to its Shannon's conditional entropy. This paper studies the convergence rate of this asymptotic result. In particular, we show that if the process satisfies certain mixing conditions, then a central limit theorem will be respected. Furthermore, we ...
Year
DOI
Venue
2017
10.1109/TIT.2019.2934454
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Complexity theory,Convergence,Entropy,Markov processes,Random variables,Turing machines,Indexes
Journal
66
Issue
ISSN
Citations 
2
0018-9448
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Morgane Austern1131.53
Arian Maleki280357.52