Non interactive simulation of correlated distributions is decidable

SODA '18: Symposium on Discrete Algorithms New Orleans Louisiana January, 2018, pp. 2728-2746, 2018.

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Abstract:

A basic problem in information theory is the following: Let P = (X, Y) be an arbitrary distribution where the marginals X and Y are (potentially) correlated. Let Alice and Bob be two players where Alice gets samples {xi}i≥1 and Bob gets samples {yi}i≥1 and for all i, (xi, yi) ∼ P. What joint distributions Q can be simulated by Alice and B...More

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