Noted: Tuesday, October 08, 2024, 19:30:00 + 5
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You can have a database running on a physical server, cloud server, or just inside of your plain paper notebook. :-)
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A database is a table of information.
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A database is a table of information.
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---
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# Kolmogorov complexity
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he Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer program (in a predetermined programming language) that produces the object as output. It is a measure of the computational resources needed to specify the object, and is also known as algorithmic complexity, Solomonoff–Kolmogorov–Chaitin complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It is named after Andrey Kolmogorov, who first published on the subject in 1963 and is a generalization of **classical information theory**.
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The Kolmogorov complexity can be **defined for any mathematical object**, but for simplicity the scope of this article is restricted to strings. We must first specify a description language for strings. Such a description language can be based on any computer programming language, such as Lisp, Pascal, or Java. If P is a program which outputs a string x, then P is a description of x. The length of the description is just the length of P as a character string, multiplied by the number of bits in a character (e.g., 7 for ASCII)
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[Algorithmic information theory](https://en.wikipedia.org/wiki/Algorithmic_information_theory "Algorithmic information theory") is the area of computer science that studies Kolmogorov complexity and other complexity measures on strings (or other [data structures](https://en.wikipedia.org/wiki/Data_structure "Data structure")).
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---via [source](https://en.wikipedia.org/wiki/Kolmogorov_complexity)
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# Issues with Occam's Razor
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---
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For example, if a man, accused of breaking a vase, makes supernatural claims that leprechauns were responsible for the breakage, a simple explanation might be that the man did it, but ongoing ad hoc justifications (e.g., "... and that's not me breaking it on the film; they tampered with that, too") could successfully prevent complete disproof. This endless supply of elaborate competing explanations, called saving hypotheses, cannot be technically ruled out – except by using Occam's razor.
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![[Pasted image 20241008191503.png]]
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# Akaike information criterion
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---
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an estimator of prediction error and thereby relative quality of statistical models for a given set of data.[1][2][3] Given a collection of models for the data, AIC estimates the quality of each model, relative to each of the other models. Thus, AIC provides a means for model selection.
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AIC is founded on information theory. When a statistical model is used to represent the process that generated the data, the representation will almost never be exact; so some information will be lost by using the model to represent the process. AIC estimates the relative amount of information lost by a given model: the less information a model loses, the higher the quality of that model.
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-- via [source](https://en.wikipedia.org/wiki/Akaike_information_criterion)
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@ -7,4 +7,7 @@ A single typed [character](https://simple.wikipedia.org/wiki/Character "Charact
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In the field of quantum information science we want to draw similar enough connections. A qyte is a unit of measurement of the size of quantum information on quantum devices. A single qyte is usually 8 qubits. Some earlier computers used binary qubits for each byte. This is not the case for the kyte.
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>[!note] This principle goes back at least as far as Aristotle, who wrote "Nature operates in the shortest way possible."
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