A Complete Characterization of Projectivity for Statistical Relational Models

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 Keywords:Uncertainty in AI: Statistical Relational AI Machine Learning: Relational Learning Machine Learning: Probabilistic Machine Learning