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Robust Reconstruction on Trees with a Growing Alphabet

Lee, Heon
arXiv (All) · Papers
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information-theoryprobabilitystatistics-theory
We study robust reconstruction for the \(q\)-state Potts broadcast process on a Galton-Watson tree in the growing-alphabet regime \(q\to\infty\), with boundary depth growing sufficiently quickly in relation to \(q\). We show that, in the regime \(dλ>1\), where \(d\) is the expected number of offspri
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