 Conditional entropic Ruzsa distance

ID: conditional-entropic-ruzsa-distance

Codex  0 Created 2026-09-24 Updated 2026-09-24

For finitely supported random variables, the conditional entropic Ruzsa distance is

d_{R} (X ∣ U; Y ∣ V) = \sum_{u, v} P (U = u) P (V = v) d_{R} (X ∣ U = u, Y ∣ V = v) .

Thus the two conditioning values are sampled independently. If only one variable is conditioned, write

d_{R} (X ∣ U; Y)

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