Randomness conservation inequalities; information and independence in mathematical theories
Information and Control
Algorithmic information theory
Algorithmic information theory
An introduction to Kolmogorov complexity and its applications (2nd ed.)
An introduction to Kolmogorov complexity and its applications (2nd ed.)
On the Length of Programs for Computing Finite Binary Sequences
Journal of the ACM (JACM)
Algorithmic Clustering of Music Based on String Compression
Computer Music Journal
Machine Learning
The Google Similarity Distance
IEEE Transactions on Knowledge and Data Engineering
Theoretical Computer Science
A universal algorithm for sequential data compression
IEEE Transactions on Information Theory
Compression of individual sequences via variable-rate coding
IEEE Transactions on Information Theory
Shared information and program plagiarism detection
IEEE Transactions on Information Theory
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John organized a state lottery and his wife won the main prize. You may feel that the event of her winning wasn't particularly random, but how would you argue that in a fair court of law? Traditional probability theory does not even have the notion of random events. Algorithmic information theory does, but it is not applicable to real-world scenarios like the lottery one. We attempt to rectify that.