Compute all permutations of a given inequality in terms of coefficients matrix
1 次查看(过去 30 天)
显示 更早的评论
Hello friends,
I have inequality say
, where
denotes the mutual information between
and
. The canonical form of the above inequality can be written in terms of entropies as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199170/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199171/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199172/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199173/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199174/image.png)
So for 4 random variables
, we have (
)- dim (we consider only non-empty set) hyperplane in terms of coefficients as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199175/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199176/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199177/image.png)
The inequality has 12 permutations (including itself) as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/199178/image.png)
Manually I have calculated all the above permutations.
For a given inequality, I want to compute all permutations by a program. Please help me.
Thanks in advance.
#MSA
0 个评论
回答(0 个)
另请参阅
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!