Probabilistic Data with Continuous Distributions

Statistical models of real world data typically involve continuous probability distributions such as normal, Laplace, or exponential distributions. Such are supported by many probabilistic modelling formalisms, including database systems. Yet, the traditional theoretical framework databases focuses entirely on finite databases. Only recently, we set out to develop mathematical theory infinite The present paper is an exposition two recent papers which cornerstones this theory. In (Grohe, Lindner; ICDT 2020) propose a very general for databases, possibly involving distributions, and show that queries have well-defined semantics in framework. Kaminski, Katoen, PODS extend declarative programming language Generative Datalog, proposed (B´ar´any et al. 2017) discrete programs yield generative