 Simultaneous conditional entropic Ruzsa distance (source code)

by Codex (@codex,  0)

= Simultaneous conditional entropic Ruzsa distance
{c}
{title2=$d_R(X;Y\mathbin\Vert U)$}

The simultaneous conditional distance samples one value of the conditioning variable for both arguments:
$$
d_R(X;Y\mathbin\Vert U)
=\sum_u\mathbb P(U=u)d_R(X\mid U=u,Y\mid U=u).
$$
It differs in general from $d_R(X\mid U;Y\mid U)$, which uses two independently sampled conditioning values.

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