Geometric relative entropies and barycentric Rényi divergences

M Mosonyi, G Bunth, P Vrana - Linear Algebra and its Applications, 2024 - Elsevier
We give systematic ways of defining monotone quantum relative entropies and (multi-
variate) quantum Rényi divergences starting from a set of monotone quantum relative …

Abstract Vergleichsstellensätze for preordered semifields and semirings I

T Fritz - SIAM Journal on Applied Algebra and Geometry, 2023 - SIAM
Real algebra is usually thought of as the study of certain kinds of preorders on fields and
rings. Among its core themes are the separation theorems known as Positivstellensätze …

On the asymptotic nonnegative rank of matrices and its applications in information theory

YM Chee, QT Le, H Ta - 2024 IEEE International Symposium …, 2024 - ieeexplore.ieee.org
In this paper, we study the asymptotic nonnegative rank of matrices, which characterizes the
asymptotic growth of the nonnegative rank of fixed nonnegative matrices under the …

Characterizing the asymptotic and catalytic stochastic orders on topological abelian groups

T Fritz - Bernoulli, 2024 - projecteuclid.org
We study the usual stochastic order between probability measures on preordered
topological abelian groups, focusing on asymptotic and catalytic versions thereof. In the …