I went to listen to a workshop and some audience asked the presenter how the moments can improve the mutual information. I am learning the MI (Mutual Information) so didn't have enough knowledge to understand what it means. Then, I have done some research but still have some confusions. I am wondering if anyone has more knowledge about this can clarify for me. Here are my questions.

• Mutual information is usually calculated by bin functions to estimate the probability of two random variable which can be a case of two vectors X and Y. Is the moment generating function another way to estimate probability?

• If moment generating functions can present the probability of X and Y, how do we calculate it?

• Does a MI have a moments generating function?

• If MI has a moments generating function, how can we present a MI of X and Y by its moments functions?

I went to listen to a workshop and someone from the audience asked the presenter how the moments can improve the mutual information. I am learning about MI (Mutual Information) so didn't have enough knowledge to understand what it means. Then, I did some research but I still have some confusion. I am wondering if someone who has more knowledge about this can clarify things for me. Here are my questions:

• Mutual information is usually calculated by bin functions to estimate the probability of two random variables which can be a case of two vectors $X$ and $Y$. Is the moment generating function another way to estimate probability?

• If moment generating functions can present the probability of $X$ and $Y$, how do we calculate it?

• Does a MI have a moment generating function?

• If MI has a moment generating function, how can we present a MI of $X$ and $Y$ by its moment functions?

I went to listen to a workshop and some audience asked the presenter how the moments can improve the mutual information. I am learning the MI(Mutual Information) so didn't have enough knowledge to understand what it means. Then, I have done some research but still have some confusions. I am wondering if anyone has more knowledge about this can clarify for me. Here are my questions.

• Mutual information is usually calculated by bin functions to estimate the probability of two random variable which can be a case of two vectors X and Y. Is the moment generating function another way to estimate probability  ?

• If moment generating functions can present the probability of X and Y, how do we calculate it  ?

• Does a MI have a moments generating function  ?

• If MI has a moments generating function, how can we present a MI of X and Y by its moments functions  ?

Thank you very much,

I went to listen to a workshop and some audience asked the presenter how the moments can improve the mutual information. I am learning the MI  (Mutual Information) so didn't have enough knowledge to understand what it means. Then, I have done some research but still have some confusions. I am wondering if anyone has more knowledge about this can clarify for me. Here are my questions.

• Mutual information is usually calculated by bin functions to estimate the probability of two random variable which can be a case of two vectors X and Y. Is the moment generating function another way to estimate probability?

• If moment generating functions can present the probability of X and Y, how do we calculate it?

• Does a MI have a moments generating function?

• If MI has a moments generating function, how can we present a MI of X and Y by its moments functions?