Noted: Tuesday, October 08, 2024, 19:30:00 + 5

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Shwetha Jayaraj 2024-10-08 19:30:01 -04:00
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You can have a database running on a physical server, cloud server, or just inside of your plain paper notebook. :-) You can have a database running on a physical server, cloud server, or just inside of your plain paper notebook. :-)
A database is a table of information. A database is a table of information.
---
# Kolmogorov complexity
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, SolomonoffKolmogorovChaitin 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**.
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)
[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")).
---via [source](https://en.wikipedia.org/wiki/Kolmogorov_complexity)
# Issues with Occam's Razor
---
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.
![[Pasted image 20241008191503.png]]
# Akaike information criterion
---
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.
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.
-- via [source](https://en.wikipedia.org/wiki/Akaike_information_criterion)

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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. 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.
>[!note] This principle goes back at least as far as Aristotle, who wrote "Nature operates in the shortest way possible."

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