Xeggora: Exploiting Immune-to-Evidence Symmetries with Full Aggregation in Statistical Relational Models (Extended Abstract)

Mohammad Mahdi Amirian, Saeed Shiry Ghidary

Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence

Journal track. Pages 5010-5014.

https://doi.org/10.24963/ijcai.2020/697

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Abstract

We present improvements in maximum a-posteriori inference for Markov Logic, a widely used SRL formalism. Several approaches, including Cutting Plane Aggregation (CPA), perform inference through translation to Integer Linear Programs. Aggregation exploits context-specific symmetries independently of evidence and reduces the size of the program. We illustrate much more symmetries occurring in long ground clauses that are ignored by CPA and can be exploited by higher-order aggregations. We propose Full-Constraint-Aggregation, a superior algorithm to CPA which exploits the ignored symmetries via a lifted translation method and some constraint relaxations. RDBMS and heuristic techniques are involved to improve the overall performance. We introduce Xeggora as an evolutionary extension of RockIt, the query engine that uses CPA. Xeggora evaluation on real-world benchmarks shows progress in efficiency compared to RockIt especially for models with long formulas.

Keywords

  • Machine Learning: Probabilistic Machine Learning
  • Constraints and SAT: SAT: : Solvers and Applications
  • Knowledge Representation and Reasoning: Reasoning about Knowledge and Belief
  • Knowledge Representation and Reasoning: Logics for Knowledge Representation
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