Drton–Sturmfels–Sullivant conjecture on the ML-degree of cycle graphs
Drton–Sturmfels–Sullivant conjecture on the ML-degree of cycle graphs
Let be the cycle graph on vertices, and let denote the number of critical points of the Gaussian log-likelihood function for generic sample covariance data, equivalently the maximum likelihood degree of the corresponding Gaussian graphical model. Drton–Sturmfels–Sullivant conjecture.
This conjecture predicts the observed ML-degrees of cycle graphs and gives an explicit formula for their algebraic statistical complexity. The supplied text does not state whether the conjecture has been proved or disproved.
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Sources & referencesView supporting material
Primary source
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek and Martin Vodička, “On the maximum likelihood degree for Gaussian graphical models”, arXiv:2410.07007 (2024).
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