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math.PR2026
Exact reconstruction thresholds on hypertrees over a symmetric binary alphabet
Yuzhou Gu
We establish the exact reconstruction thresholds for a class of broadcasting models on hypertrees over a symmetric binary alphabet. As a consequence, we show that the condensation…
math.PR2026
A Counterexample to the Gaussian Completely Monotone Conjecture
Yuzhou Gu, Mark Sellke
We provide an explicit probability measure on for which the fifth time derivative of the entropy along the heat flow is positive at some time. This disproves the Gauss…
math.PR2021★ 6 cited
Stochastic block model entropy and broadcasting on trees with survey
Emmanuel Abbe, Elisabetta Cornacchia, Yuzhou Gu +1
The limit of the entropy in the stochastic block model (SBM) has been characterized in the sparse regime for the special case of disassortative communities [COKPZ17] and for the cl…