http://link.springer.com/chapter/10.1007%2F11889342_58#page-1

In particular, it implies that the solution to Thm 9.2 in Csiszar-Korner (and hence the second term in the new result) can be simplified to

which can be solved via linear programming. ]]>

U=2*U1 ;

X1=2*(U1+U2+ …+U20) ;

X=(X1-mean(X1))/std(X1);

Y=0.1*X+W1;

V=0.9*Y+0.1*W2;

where Ui(0,1) is uniform, (i=1,2, … ,20), W1~N(0,0.99), and W2~N(0,1).

I got the following numerical results for this setting using 10^7 samples.

H(U,V)= 81.4570,

H(Y,U)= 11.8206,

H(X,V)= 69.5232,

H(X,U)= 11.9757,

H(Y,V)= 7.4803,

[I have received several emails inquiring about the status of the conjecture, so I have added a comment at the top of the post to advertise the status. I will update it if the status changes.]

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