Reciprocal maximum likelihood degrees of diagonal linear concentration models
Abstract
We show that the reciprocal maximal likelihood degree (rmld) of a diagonal linear concentration model L ⊆ Cn of dimension r is equal to (-2)rχM(1/2), where χM is the characteristic polynomial of the matroid M associated to L. In particular, this establishes the polynomiality of the rmld for general diagonal linear concentration models, positively answering a question of Sturmfels, Timme, and Zwiernik.
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