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Entropy and Distributed Source Coding of Connected Soft R...
[Submitted on 6 May 2026 (v1), last revised 3 Sep 2026 (this ver · 2026-05-06 · via math.PR updates on arXiv.org

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Abstract:We consider the distributed compression of Soft Random Geometric Graphs (SRGGs) above the connectivity threshold. We establish the Slepian-Wolf rate region for the SRGG in the setting where there are a finite number of encoders compressing sections of the graph independently. To do so, we prove novel limit theorems and asymptotic equipartition properties for the SRGG and its entropy, which allow us to use random binning techniques for distributed compression.

Submission history

From: Oliver Baker [view email]
[v1] Wed, 6 May 2026 09:55:06 UTC (28 KB)
[v2] Thu, 3 Sep 2026 10:04:08 UTC (70 KB)