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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 Sep 2026

A Continuous Projection Converse and a Weighted Construction for Uniquely Decodable Code Pairs

We study the maximum sum rate of uniquely decodable code pairs. A weighted refinement of a complement-gluing construction yields an explicit code of length 672 and sum rate exceeding $1.318639029203$. An iterated projection argument, combined with a conditional entropy estimate and a justified continuous limit, gives a...

Lei Yu · 0 citations

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