Results 11 to 20 of about 26,141 (311)
ALGORITHMIC INFORMATION THEORY [PDF]
arXiv.org, 2008 We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We explain the main concepts of this quantitative approach to defining `information'. We discuss the extent to which Kolmogorov's and Shannon's information theory have a common purpose, and where they are fundamentally different.
P.D. Grünwald (Peter) +1 more
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Algorithmic Information Theory for Obfuscation Security [PDF]
Proceedings of the 12th International Conference on Security and Cryptography, 2015 The main problem in designing effective code obfuscation is to guarantee security. State of the art obfuscation techniques rely on an unproven concept of security, and therefore are not regarded as provably secure. In this paper, we undertake a theoretical investigation of code obfuscation security based on Kolmogorov complexity and algorithmic mutual ...
Rabih Mohsen, Alexandre Miranda Pinto
core +5 more sources
Game Arguments in Computability Theory and Algorithmic Information Theory [PDF]
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the gap between conditional complexity and total conditional complexity, Epstein---Levin theorem and some (yet unpublished) result of Muchnik and Vyugin.
Shen, Alexander +2 more
core +4 more sources
Intelligence and Unambitiousness Using Algorithmic Information Theory [PDF]
IEEE Journal on Selected Areas in Information Theory, 2022 Algorithmic Information Theory has inspired intractable constructions of general intelligence (AGI), and undiscovered tractable approximations are likely feasible.
Hutter, Marcus +2 more
core +2 more sources
Algorithmic information theory [PDF]
The Journal of Symbolic Logic, 1989 Abstract We present a critical discussion of the claim (most forcefully propounded by Chaitin) that algorithmic information theory sheds new light on Gödel's first incompleteness theorem.
M. Lambalgen
openaire +4 more sources
An Operational Characterization of Mutual Information in Algorithmic Information Theory [PDF]
Journal of the ACM, 2019 We show that the mutual information, in the sense of Kolmogorov complexity, of any pair of strings x and y is equal, up to logarithmic precision, to the length of the longest shared secret key that two parties—one having x and the complexity profile of the pair and the
Andrei Romashchenko, Marius Zimand
openaire +7 more sources
Multisource Algorithmic Information Theory [PDF]
, 2006 Multisource information theory is well known in Shannon setting. It studies the possibilities of information transfer through a network with limited capacities. Similar questions could be studied for algorithmic information theory and provide a framework for several known results and interesting questions.
Shen, Alexander, Alexander Shen
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Algorithmic Information Dynamics
Scholarpedia, 2020 Algorithmic Information Dynamics (AID) is an algorithmic probabilistic framework for causal discovery and causal analysis. It enables a numerical solution to inverse problems based or motivated on principles of algorithmic probability.
Abrahão, Felipe +3 more
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Algorithmic information theory [PDF]
Scholarpedia, 2007 This article is a brief guide to the field of algorithmic information theory (AIT), its underlying philosophy, and the most important concepts. AIT arises by mixing information theory and computation theory to obtain an objective and absolute notion of information in an individual object, and in so doing gives rise to an objective and robust notion of ...
Marcus Hutter
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Quantum Algorithmic Information Theory
, 1995 The agenda of quantum algorithmic information theory, ordered `top-down,' is the quantum halting amplitude, followed by the quantum algorithmic information content, which in turn requires the theory of quantum computation. The fundamental atoms processed by quantum computation are the quantum bits which are dealt with in quantum information theory. The
K. Svozil, Svozil, Karl, Svozil,Karl
openaire +5 more sources