In the reconstruction regime the population log-likelihood of the CFN model on trees is strongly concave and smooth near the true parameter with a Hessian whose off-diagonal entries decay exponentially in graph distance.
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Likelihood landscape of binary latent model on a tree
In the reconstruction regime the population log-likelihood of the CFN model on trees is strongly concave and smooth near the true parameter with a Hessian whose off-diagonal entries decay exponentially in graph distance.