4 papers
Liftings of polynomial systems decreasing the mixed volume
Christopher Borger, Thomas Kahle, Andreas Kretschmer +2
The BKK theorem states that the mixed volume of the Newton polytopes of a system of polynomial equations upper bounds the number of isolated torus solutions of the system. Homotopy…
Optimal designs for discrete choice models via graph Laplacians
Frank Röttger, Thomas Kahle, Rainer Schwabe
In discrete choice experiments, the information matrix depends on the model parameters. Therefore designing optimally informative experiments for arbitrary initial parameters often…
Extreme Values of Permutation Statistics
Philip Dörr, Thomas Kahle
We investigate extreme values of Mahonian and Eulerian distributions arising from counting inversions and descents of random elements of finite Coxeter groups. To this end, we cons…
The geometry of Gaussian double Markovian distributions
Tobias Boege, Thomas Kahle, Andreas Kretschmer +1
Gaussian double Markovian models consist of covariance matrices constrained by a pair of graphs specifying zeros simultaneously in the covariance matrix and its inverse. We study t…