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The basic steps of using information theory to deal with scientific problems are
2022-07-02 02:14:00 【Hodors】

1、 Build state space ;
There are many ways to build state space ; etc. count、 Equal width ,...and so on;
2、 Calculate the probability of different states ;
With frequency , Approximate substitution probability , Therefore, the number of experiments should be as much as possible ;
3、 Calculation entropy 、 Or mutual information ;
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Understanding of basic concepts :
1、 Entropy is The average number of problems needed to determine the status ;

2、 Two meanings of information :
(1)、 Reduction of uncertainty ;
(2)、 Between two probability distributions KL The divergence ;

3、 What is mutual information ,
You know : A measure of the degree of interdependence between random variables .
I understand it : How much information does a variable carry about other variables ?
Or say , The interaction between two variables , How big is the ?
4、 Conditional mutual information , The existence of the third variable , Mutual information between the first two variables can be increased ;
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