Conjecture on the ML degree of rank-two 3 by n matrices
Let denote the variety of matrices of rank at most , with . ML-degree conjecture. The ML degree of equals
This conjecture concerns the number of complex critical points of the likelihood function for rank-constrained matrices. The supplied text gives no resolution status or further evidence beyond numerical experimentation.
References
Primary source
Jonathan Hauenstein, Jose Rodriguez and Bernd Sturmfels, “Maximum Likelihood for Matrices with Rank Constraints”, arXiv:1210.0198 (2013).
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