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Algorithmic Information Theory

SpringerBriefs in Mathematical Physics, 2019
In this chapter, we review the basic framework of algorithmic information theory to the extent necessary to read the rest of the book.
K. Tadaki
openaire   +2 more sources

Algorithmic Information Theory

Cambridge tracts in theoretical computer science, 1987
Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by ...
G. Chaitin
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Algorithmic Information Theory and Foundations of Probability

open access: yesReachability Problems, 2009
The question how and why mathematical probability theory can be applied to the "real world" has been debated for centuries. We try to survey the role of algorithmic information theory (Kolmogorov complexity) in this debate.
A. Shen
semanticscholar   +5 more sources

ALGORITHMIC INFORMATION THEORY

IBM Journal of Research and Development, 1977
G. Chaitin
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Bridging Algorithmic Information Theory and Machine Learning: A New Approach to Kernel Learning

Physica A: Statistical Mechanics and its Applications, 2023
Machine Learning (ML) and Algorithmic Information Theory (AIT) look at Complexity from different points of view. We explore the interface between AIT and Kernel Methods (that are prevalent in ML) by adopting an AIT perspective on the problem of learning ...
B. Hamzi, Marcus Hutter, H. Owhadi
semanticscholar   +1 more source

Algorithmic Information Theory for Physicists and Natural Scientists

, 2020
This book has been written in the hope that readers will be able to absorb the key ideas behind algorithmic information theory so that they are in a better position to access the mathematical developments and to apply the ideas to their own areas of ...
S. Devine
semanticscholar   +1 more source

Game Arguments in Computability Theory and Algorithmic Information Theory

Conference on Computability in Europe, 2012
We provide some examples showing how game-theoretic arguments can be used in computability theory and algorithmic information theory: unique numbering theorem (Friedberg), the gap between conditional complexity and total conditional complexity, Epstein ...
A. Shen
semanticscholar   +1 more source

Algorithmic Information Theory

1993
Algorithmic information theory uses the notion of algorithm to measure the amount of information in a finite object. The corresponding definition was suggested in 1960s by Ray Solomonoff, Andrei Kolmogorov, Gregory Chaitin and others: the amount of information in a finite object, or its complexity, was defined as the minimal length of a program that ...
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