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Preprint Oct 2026

Exact Second-Order Asymptotics for the Gaussian Gray--Wyner Problem

This work revisits the Gray-Wyner problem of lossy compression of bivariate Gaussian sources under the quadratic distortion measure and derives a covariance shell covering lemma that is analogous to the type covering lemma for the discrete case and derives a achievability proof.

Lin Zhou, Lei Yu · 1 citation
Preprint Oct 2026

Exact Second-Order Asymptotics for the Discrete Wyner--Ziv Problem

We revisit the discrete Wyner--Ziv problem and establish exact second-order asymptotics. Our main contribution is a second-order converse bound, which is derived using posterior decomposition, concentration inequalities, and a conditional Gaussian approximation for martingales. Furthermore, we extend the previous best...

Lin Zhou · 3 citations

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