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cs.IT2026
Shapes and Norms of Random Pairs
Rostislav Matveev
The shape function of a pair of finite-valued random variables was introduced in arXiv:2606.23849, where it was used to derive a spectral bound on the entanglement of the pair, a q…
cs.IT2026
Beyond Mutual Information: Extension Profiles and Shape Functions of Random Variable Pairs
Rostislav Matveev, Andrei Romashchenko
We study the extension profile of a pair of jointly distributed finite-valued random variables , defined as the set of all triples of numbers …
cs.IT2026
Spectral Conditions for the Ingleton Inequality
Rostislav Matveev, Andrei Romashchenko
The Ingleton inequality is a classical linear information inequality that holds for representable matroids but fails to be universally valid for entropic vectors. Understanding the…