Between Order and Chaos: The Quest for Meaningful Information
The notion of meaningful information seems to be associated with the sweet spot between order and chaos. This form of meaningfulness of information, which is primarily what science is interested in, is not captured by both Shannon information and Kolmogorov complexity. In this paper I develop a theo...
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| Vydáno v: | Theory of computing systems Ročník 45; číslo 4; s. 650 - 674 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
Springer-Verlag
01.11.2009
Springer Nature B.V |
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| ISSN: | 1432-4350, 1433-0490 |
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| Abstract | The notion of meaningful information seems to be associated with the sweet spot between order and chaos. This form of meaningfulness of information, which is primarily what science is interested in, is not captured by both Shannon information and Kolmogorov complexity. In this paper I develop a theoretical framework that can be seen as a first approximation to a study of meaningful information. In this context I introduce the notion of facticity of a data set. I discuss the relation between thermodynamics and algorithmic complexity theory in the context of this problem. I prove that, under adequate measurement conditions, the free energy of a system in the world is associated with the randomness deficiency of a data set with observations about this system. These insights suggest an explanation of the efficiency of human intelligence in terms of helpful distributions. Finally I give a critical discussion of Schmidhuber’s views specifically his notion of low complexity art, I defend the view that artists optimize facticity instead. |
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| AbstractList | The notion of meaningful information seems to be associated with the sweet spot between order and chaos. This form of meaningfulness of information, which is primarily what science is interested in, is not captured by both Shannon information and Kolmogorov complexity. In this paper I develop a theoretical framework that can be seen as a first approximation to a study of meaningful information. In this context I introduce the notion of facticity of a data set. I discuss the relation between thermodynamics and algorithmic complexity theory in the context of this problem. I prove that, under adequate measurement conditions, the free energy of a system in the world is associated with the randomness deficiency of a data set with observations about this system. These insights suggest an explanation of the efficiency of human intelligence in terms of helpful distributions. Finally I give a critical discussion of Schmidhuber’s views specifically his notion of low complexity art, I defend the view that artists optimize facticity instead. The notion of meaningful information seems to be associated with the sweet spot between order and chaos. This form of meaningfulness of information, which is primarily what science is interested in, is not captured by both Shannon information and Kolmogorov complexity. In this paper I develop a theoretical framework that can be seen as a first approximation to a study of meaningful information. In this context I introduce the notion of facticity of a data set. I discuss the relation between thermodynamics and algorithmic complexity theory in the context of this problem. I prove that, under adequate measurement conditions, the free energy of a system in the world is associated with the randomness deficiency of a data set with observations about this system. These insights suggest an explanation of the efficiency of human intelligence in terms of helpful distributions. Finally I give a critical discussion of Schmidhuber's views specifically his notion of low complexity art, I defend the view that artists optimize facticity instead. [PUBLICATION ABSTRACT] |
| Author | Adriaans, Pieter |
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| Cites_doi | 10.1006/jcss.1997.1500 10.1007/s10994-007-0716-7 10.1023/B:VISI.0000046586.95219.e7 10.1023/A:1009868929893 10.1007/978-3-540-68677-4_8 10.1109/TIT.2004.838346 10.1109/TIT.2005.844059 10.1109/18.720554 10.1103/PhysRevLett.63.105 10.1016/S1364-6613(02)00005-0 10.1038/35023282 10.1109/ISIT.2007.4557549 10.1017/CBO9780511608858 10.7551/mitpress/4643.001.0001 10.1007/978-3-540-75488-6_3 10.1016/B978-0-444-51726-5.50020-0 10.1007/978-1-4757-2606-0 |
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| DOI | 10.1007/s00224-009-9173-y |
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| Keywords | Thermodynamics Meaningful information MDL Two-part code optimization Randomness deficiency Algorithmic esthetics Learning as compression Free energy |
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| Title | Between Order and Chaos: The Quest for Meaningful Information |
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