28 citations · 336 across the 38 of their papers we have counts for
6 papers · 1 filter
Algebraic geometry of Poisson regression
Thomas Kahle, Kai-Friederike Oelbermann, Rainer Schwabe
Designing experiments for generalized linear models is difficult because optimal designs depend on unknown parameters. Here we investigate local optimality. We propose to study for…
Obstructions to combinatorial formulas for plethysm
Thomas Kahle, Mateusz Michalek
Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm. We demonstrate, on the examples of and , that…
Eigenschemes and the Jordan canonical form
Hirotachi Abo, David Eklund, Thomas Kahle +1
We study the eigenscheme of a matrix which encodes information about the eigenvectors and generalized eigenvectors of a square matrix. The two main results in this paper are this d…
Irreducible decomposition of binomial ideals
Thomas Kahle, Ezra Miller, Christopher O'Neill
Building on coprincipal mesoprimary decomposition [Kahle and Miller, 2014], we combinatorially construct an irreducible decomposition of any given binomial ideal. In a parallel man…
Parity binomial edge ideals
Thomas Kahle, Camilo Sarmiento, Tobias Windisch
Parity binomial edge ideals of simple undirected graphs are introduced. Unlike binomial edge ideals, they do not have square-free Gröbner bases and are radical if only if the graph…
Detecting Binomiality
Carsten Conradi, Thomas Kahle
Binomial ideals are special polynomial ideals with many algorithmically and theoretically nice properties. We discuss the problem of deciding if a given polynomial ideal is binomia…