Probabilistic Logic Programming with Beta-Distributed Random Variables

Authors

  • Federico Cerutti Cardiff University
  • Lance Kaplan U.S. Army Research Laboratory
  • Angelika Kimmig Cardiff University
  • Murat Şensoy Ozyegin University

DOI:

https://doi.org/10.1609/aaai.v33i01.33017769

Abstract

We enable aProbLog—a probabilistic logical programming approach—to reason in presence of uncertain probabilities represented as Beta-distributed random variables. We achieve the same performance of state-of-the-art algorithms for highly specified and engineered domains, while simultaneously we maintain the flexibility offered by aProbLog in handling complex relational domains. Our motivation is that faithfully capturing the distribution of probabilities is necessary to compute an expected utility for effective decision making under uncertainty: unfortunately, these probability distributions can be highly uncertain due to sparse data. To understand and accurately manipulate such probability distributions we need a well-defined theoretical framework that is provided by the Beta distribution, which specifies a distribution of probabilities representing all the possible values of a probability when the exact value is unknown.

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Published

2019-07-17

How to Cite

Cerutti, F., Kaplan, L., Kimmig, A., & Şensoy, M. (2019). Probabilistic Logic Programming with Beta-Distributed Random Variables. Proceedings of the AAAI Conference on Artificial Intelligence, 33(01), 7769-7776. https://doi.org/10.1609/aaai.v33i01.33017769

Issue

Section

AAAI Technical Track: Reasoning under Uncertainty