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cs.DB2026
Size Bounds for CQs Under Acyclic Constraints
Stefan Mengel, Andrei Romashchenko
We study size bounds for conjunctive query (CQ) results which in recent years have played a crucial role in database theory. In particular, we compare the so-called entropic bound…
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 …