Structured Bayesian Networks: From Inference to Learning with Routes

  • Yujia Shen University of California, Los Angeles
  • Anchal Goyanka University of California, Los Angeles
  • Adnan Darwiche University of California, Los Angeles
  • Arthur Choi University of California, Los Angeles

Abstract

Structured Bayesian networks (SBNs) are a recently proposed class of probabilistic graphical models which integrate background knowledge in two forms: conditional independence constraints and Boolean domain constraints. In this paper, we propose the first exact inference algorithm for SBNs, based on compiling a given SBN to a Probabilistic Sentential Decision Diagram (PSDD). We further identify a tractable subclass of SBNs, which have PSDDs of polynomial size. These SBNs yield a tractable model of route distributions, whose structure can be learned from GPS data, using a simple algorithm that we propose. Empirically, we demonstrate the utility of our inference algorithm, showing that it can be an order-ofmagnitude more efficient than more traditional approaches to exact inference. We demonstrate the utility of our learning algorithm, showing that it can learn more accurate models and classifiers from GPS data.

Published
2019-07-17
Section
AAAI Technical Track: Reasoning under Uncertainty