Algorithmic Information Theory: Fundamentals and Applications

· Artificial Intelligence Book 106 · One Billion Knowledgeable
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About this ebook

What Is Algorithmic Information Theory

The field of theoretical computer science known as algorithmic information theory, or AIT for short, is concerned with the relationship between computation and information of computably generated things (as opposed to stochastically generated objects), such as strings or any other data structure. In other words, algorithmic information theory demonstrates that computational incompressibility "mimics" (with the exception of a constant that solely depends on the universal programming language that was selected) the relations or inequalities that are present in information theory. Gregory Chaitin explains that it is "the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking them vigorously."


How You Will Benefit


(I) Insights, and validations about the following topics:


Chapter 1: Algorithmic Information Theory


Chapter 2: Kolmogorov Complexity


Chapter 3: Chaitin's Constant


Chapter 4: Gregory Chaitin


Chapter 5: Algorithmic Probability


Chapter 6: Solomonoff's Theory of Inductive Inference


Chapter 7: Minimum Description Length


Chapter 8: Random Sequence


Chapter 9: Algorithmically Random Sequence


Chapter 10: Incompressibility Method


(II) Answering the public top questions about algorithmic information theory.


(III) Real world examples for the usage of algorithmic information theory in many fields.


(IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of algorithmic information theory' technologies.


Who This Book Is For


Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of algorithmic information theory.

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