Conjecture on the ML degree of rank-two 3 by n matrices

From papers

Let V2\mathcal{V}_2 denote the variety of 3×n3 \times n matrices of rank at most 22, with n3n \geq 3. ML-degree conjecture. The ML degree of V2\mathcal{V}_2 equals

2n+16.2^{n+1}-6.

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.

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Sources & referencesView supporting material

Primary source

Jonathan Hauenstein, Jose Rodriguez and Bernd Sturmfels, “Maximum Likelihood for Matrices with Rank Constraints”, arXiv:1210.0198 (2013).

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