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Combinatorial foundations of information theory and the calculus of probabilities
Russian Mathematical Surveys, 1983This paper gives a general view of a foundation of probability theory that is alternative to that on general measure theory. Examples are given that show that information-theoretic results follow from purely combinatorial arguments. Then the complexity of an object is defined as the length of the shortest binary sequence of 0's and 1's that is required
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An Introduction to Probability Theory and Its Applications
, 1959W. Feller
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The Combinatorial Foundations of Information Theory and the Probability Calculus
1993I should like to begin with some considerations which go beyond the framework of the main topic of my report. Mathematics formalized according to Hilbert is nothing other than the theory of operations on schemes of special form consisting of a finite number of symbols disposed in a certain order and related by various connections.
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Probability Collectives: A multi-agent approach for solving combinatorial optimization problems
Applied Soft Computing, 2010A. Kulkarni, K. Tai
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Exact combinatorial bounds on the probability of overfitting for empirical risk minimization
Pattern Recognition and Image Analysis, 2010K. Vorontsov
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