Probabilistic Latent-Factor Database Models

We describe a general framework for modelling probabilistic databases using factorization approaches. The framework includes tensor-based approaches which have been very successful in modelling triple-oriented databases and also includes recently developed neural network models. We consider the case that the target variable models the existence of a tuple, a continuous quantity associated with a tuple, multiclass variables or count variables. We discuss appropriate cost functions with different parameterizations and optimization approaches. We argue that, in general, some combination of models leads to best predictive results. We present experimental results on the modelling of existential variables and count variables.