Barriers for recent methods in geodesic optimization

no code implementations • 12 Feb 2021 • Cole Franks, Philipp Reichenbach

We study a class of optimization problems including matrix scaling, matrix balancing, multidimensional array scaling, operator scaling, and tensor scaling that arise frequently in theory and in practice.

Computational Complexity Combinatorics Optimization and Control Primary: 68Q17, Secondary: 05Dxx, 05E10, 14Q20, 20G05

Toric invariant theory for maximum likelihood estimation in log-linear models

no code implementations • 14 Dec 2020 • Carlos Améndola, Kathlén Kohn, Philipp Reichenbach, Anna Seigal

We establish connections between invariant theory and maximum likelihood estimation for discrete statistical models.

Statistics Theory Algebraic Geometry Statistics Theory 14L24, 14P05, 20G45, 62F10, 62H22, 62R01