Information theory is a well developed field, but does not capture the essence of what information is. Shannon Information captures something in its definition of improbability as information. But not all improbable events convey information. Kolmogorov complexity captures the idea of information as something easily described. But not all easily described objects are information. The proposed Algorithmic Specified Complexity takes into account both Shannon Information and Kolmogorov complexity to gain a fuller evaluation of information. We demonstrate this concept and develop several examples. We show the low probability of high Algorithmic Specified Complexity. We apply the concept to both images and functional machines from the G...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...
The notion of meaningful information seems to be associated with the sweet spot between order and ch...
In contrast to statistical entropy which measures the quantity of information in an average object ...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
Information theory is a branch of mathematics that attempts to quantify information. To quantify inf...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There arose two successful formalisations of the quantitative aspect of information over the course ...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
The notion of algorithmic complexity (also sometimes called \algorithmic en-tropy") appeared in...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...
The notion of meaningful information seems to be associated with the sweet spot between order and ch...
In contrast to statistical entropy which measures the quantity of information in an average object ...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
Information theory is a branch of mathematics that attempts to quantify information. To quantify inf...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There arose two successful formalisations of the quantitative aspect of information over the course ...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
There are (at least) three approaches to quantifying information. The first, algorithmic information...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
The notion of algorithmic complexity (also sometimes called \algorithmic en-tropy") appeared in...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...
The notion of meaningful information seems to be associated with the sweet spot between order and ch...
In contrast to statistical entropy which measures the quantity of information in an average object ...