5 papers
Ehrhart Theory over Abelian Group Rings
Robert Davis, Jesús A. De Loera, Alexey Garber +3
We introduce a unified framework for Ehrhart theory in which lattice point enumerators take coefficients in an Abelian group ring, encoding substantially richer algebraic data than…
Ehrhart positivity for marked order polytopes
Katharina Jochemko, Krishna Menon
Given a pair of finite posets , the function counting integer-valued order preserving extensions of an order preserving map from to…
How to Learn a Star: Binary Classification with Starshaped Polyhedral Sets
Marie-Charlotte Brandenburg, Katharina Jochemko
We consider binary classification restricted to a class of continuous piecewise linear functions whose decision boundaries are (possibly nonconvex) starshaped polyhedral sets, supp…
Preservation of inequalities under Hadamard products
Petter Brändén, Luis Ferroni, Katharina Jochemko
Wagner (1992) proved that the Hadamard product of two Pólya frequency sequences that are interpolated by polynomials is again a Pólya frequency sequence. We study whether related…
Polyhedral combinatorics of bisectors
Aryaman Jal, Katharina Jochemko
For any polyhedral norm, the bisector of two points is a polyhedral complex. We study combinatorial aspects of this complex. We investigate the sensitivity of the presence of label…