This paper introduces a new type of probabilistic semiparametric model that utilizes data binning to improve computational efficiency in nonparametric distributions.
Two new conditional probability distributions, sparse binned kernel density estimation and Fourier kernel density estimation, are developed for the binned semiparametric Bayesian networks.
The models address the curse of dimensionality by employing sparse tensors and limiting the number of parent nodes in conditional probability calculations.
Experiments with synthetic data and datasets from the UCI Machine Learning repository show that the binned semiparametric Bayesian networks achieve similar performance to non-binned models in terms of structural learning and log-likelihood estimations, but with significantly higher speed.