18.4. 16:00

Janike Oldekop (TU Berlin): Likelihood Geometry of Reflexive Polytopes

Abstract: We study the problem of maximum likelihood (ML) estimation for statistical models defined by reflexive polytopes. Our focus is on the ML degree of these models as a way of measuring the algebraic complexity of the corresponding optimization problem. We compute the ML degrees of all 4319 classes of three-dimensional reflexive polytopes and prove formulas for several general families, which include the hypercube and the cross-polytope in any dimension. We find some surprising behavior in terms of the gaps between ML degrees and degrees of the associated toric varieties, and we encounter some models of ML degree one. This is joint work with Carlos Améndola.

18.4. 16:00


25.4. 16:00

Hankyung Ko (Uppsala University): TBA

2.5. 16:00

Manuel Bodirsky (TU Dresden): TBA

16.5. 16:00

Mateusz Skomra (LAAS): TBA

30.5. 16:00

Lilla Tothmeresz (ELTE): TBA

27.6. 16:00

Karel Devriendt (MPI-MiS): TBA

4.7. 16:00

Eleonore Bach (EPFL): TBA