A General MCMC Method for Bayesian Inference in Logic-Based Probabilistic Modeling

Sato, Taisuke

doi:10.5591/978-1-57735-516-8/IJCAI11-248

A General MCMC Method for Bayesian Inference in Logic-Based Probabilistic Modeling

Taisuke Sato

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Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence. Pages 1472-1476.

https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-248

Abstract

We propose a general MCMC method for Bayesian inference in logic-based probabilistic modeling. It covers a broad class of generative models including Bayesian networks and PCFGs. The idea is to generalize an MCMC method for PCFGs to the one for a Turing-complete probabilistic modeling language PRISM in the context of statistical abduction where parse trees are replaced with explanations. We describe how to estimate the marginal probability of data from MCMC samples and how to perform Bayesian Viterbi inference using an example of Naive Bayes model augmented with a hidden variable.

Taisuke Sato. 2011. A General MCMC Method for Bayesian Inference in Logic-Based Probabilistic Modeling. In Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence, IJCAI-11. IJCAI, 1472–1476. https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-248

@inproceedings{ijcai2011p248,
  title     = {A General MCMC Method for Bayesian Inference in Logic-Based Probabilistic Modeling},
  author    = {Sato, Taisuke},
  booktitle = {Proceedings of the Twenty-Second International Joint Conference on
               Artificial Intelligence, {IJCAI-11}},
  publisher = {AAAI Press/International Joint Conferences on Artificial Intelligence},
  editor    = {Toby Walsh},
  pages     = {1472--1476},
  year      = {2011},
  month     = {7},
  doi       = {10.5591/978-1-57735-516-8/IJCAI11-248},
  url       = {https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-248},
}

TY  - CPAPER
TI  - A General MCMC Method for Bayesian Inference in Logic-Based Probabilistic Modeling
AU  - Sato, Taisuke
T2  - Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence, IJCAI-11
PB  - AAAI Press/International Joint Conferences on Artificial Intelligence
PY  - 2011
SP  - 1472
EP  - 1476
DO  - 10.5591/978-1-57735-516-8/IJCAI11-248
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