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8h
comment What modification is this of the notion of Renyi divergence?
And what is the meaning of anything like $D(P \vert \vert Q \vert R)$ ?
8h
comment What modification is this of the notion of Renyi divergence?
This isn't clear. $Q$ is a probability distribution on its own. So basically it is a random variable which is assigning a probability to every outcome in some space. (though $Q$ is not a probability measure because on its own it doesn't know what the "events" are) So what is $Q_{Y \vert X}$? What do $Y$ and $X$ have to be for this to make sense?
9h
revised What modification is this of the notion of Renyi divergence?
added 17 characters in body
9h
comment What modification is this of the notion of Renyi divergence?
@b yen Can you kindly define this quantity "$Q_{Y\vert X}$" and ``$P_{Y \vert X }$" ? I am unable to see why even your first-line is true. Is that a definition? I can't see it to be following from the definition of Renyi divergence...
1d
revised What modification is this of the notion of Renyi divergence?
added 3 characters in body
1d
comment Positivity of Renyi Mutual Information
@Avitus Can you give a definition of $P_{(X,Y)}$ and $P_X \times P_Y$ ? I guess both are defined on the space of outcomes $\Omega \times \Omega$ and events $F \times F$ (while $\Omega$ is the outcome space and $F$ is the event space of both $X$ and $Y$)
1d
comment Positivity of Renyi Mutual Information
@Avitus What are the properties that you would want a $I_\alpha (X,Y)$ to satisfy?
1d
asked What modification is this of the notion of Renyi divergence?
1d
comment Is this a misuse of the term “probability space”?
Sure. I am thinking of $\Omega$ as finite to keep things simple.
1d
comment Is this a misuse of the term “probability space”?
Sure! That is true. But I hope inside my post it is self-contained. This is obviously a special case of the most general possible definition.
1d
comment Is this a misuse of the term “probability space”?
isn't the wiki definition the same as mine with E = [0,1] ?
1d
comment Is this a misuse of the term “probability space”?
Can you kindly correct it?
1d
asked Is this a misuse of the term “probability space”?
Jun
22
awarded  Investor
Jun
21
comment From where can I study more about Dickson polynomials?
Any suggestion as to which of these are online accessible and most pedagogic?
Jun
21
comment From where can I study more about Dickson polynomials?
Thanks for this list!
Jun
17
revised What do we know about inverses of matrices which are “like” Laplacians of graphs?
added 13 characters in body
Jun
16
asked What do we know about inverses of matrices which are “like” Laplacians of graphs?
Jun
14
comment From where can I study more about Dickson polynomials?
Any translation into English? :)
Jun
14
asked From where can I study more about Dickson polynomials?