English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study functional dependencies together with two different probabilisticdependency notions: unary marginal identity and unary marginal distributionequivalence. A unary marginal identity states that two variables x and y areidentically distributed. A unary marginal distribution equivalence states thatthe multiset consisting of the marginal probabilities of all the values forvariable x is the same as the corresponding multiset for y. We present a soundand complete axiomatization for the class of these dependencies and show thatit has Armstrong relations. The axiomatization is infinite, but we show thatthere can be no finite axiomatization. The implication problem for the subclassthat contains only functional dependencies and unary marginal identities can besimulated with functional dependencies and unary inclusion atoms, and thereforethe problem is in polynomial-time. This complexity bound also holds in the caseof the full class, which we show by constructing a polynomial-time algorithm.

The Implication Problem for Functional Dependencies and Variants of Marginal Distribution Equivalences