A Complete Characterization of Projectivity for Statistical Relational Models

Manfred Jaeger, Oliver Schulte

Abstract: A generative probabilistic model for relational data consists of a family of probability distributions for relational structures over domains of different sizes. In most existing statistical relational learning (SRL) frameworks, these models are not projective in the sense that the marginal of the distribution for size-n structures on induced substructures of size k