Logo

Around Kolmogorov Complexity: Basic Notions and Results

Small book cover: Around Kolmogorov Complexity: Basic Notions and Results

Around Kolmogorov Complexity: Basic Notions and Results
by

Publisher: arXiv.org
Number of pages: 51

Description:
Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. This report covers the basic notions of algorithmic information theory: Kolmogorov complexity (plain, conditional, prefix), Solomonoff universal a priori probability, notions of randomness, effective Hausdorff dimension.

Home page url

Download or read it online for free here:
Download link
(300KB, PDF)

Similar books

Book cover: Information Theory and Statistical PhysicsInformation Theory and Statistical Physics
by - arXiv
Lecture notes for a graduate course focusing on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information Theory, or graduate students in Physics.
(15102 views)
Book cover: Logic and InformationLogic and Information
by - ESSLLI
An introductory, comparative account of three mathematical approaches to information: the classical quantitative theory of Claude Shannon, a qualitative theory developed by Fred Dretske, and a qualitative theory introduced by Barwise and Perry.
(15005 views)
Book cover: Information Theory and CodingInformation Theory and Coding
by - University of Cambridge
The aims of this course are to introduce the principles and applications of information theory. The course will study how information is measured in terms of probability and entropy, and the relationships among conditional and joint entropies; etc.
(26683 views)
Book cover: Information Theory, Inference, and Learning AlgorithmsInformation Theory, Inference, and Learning Algorithms
by - Cambridge University Press
A textbook on information theory, Bayesian inference and learning algorithms, useful for undergraduates and postgraduates students, and as a reference for researchers. Essential reading for students of electrical engineering and computer science.
(33163 views)