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Approximate Lifted Model Construction

Created by
  • Haebom

Author

Malte Luttermann, Jan Speller, Marcel Gehrke, Tanya Braun, Ralf Moller, Mattis Hartwig

Outline

This paper proposes the ε-Advanced Color Passing (ε-ACP) algorithm to overcome the limitations of the existing Advanced Color Passing (ACP) algorithm. The ACP algorithm requires perfect matching of object identities to perform efficient lifted inference, but latent variables learned from real data inevitably show differences. The ε-ACP algorithm introduces a tolerance ε between latent variables, enabling efficient lifted inference by leveraging object identities even when there is a perfect match. In this paper, we prove that the approximation error induced by the ε-ACP algorithm is strictly bounded, and experimentally demonstrate that the actual approximation error is close to zero.

Takeaways, Limitations

Takeaways:
Enables efficient lifted inference despite imperfect matching of latent variables learned from real data.
The ε-ACP algorithm can strictly control the approximation error.
Experimental results confirm that the approximation error of the ε-ACP algorithm is very small.
Limitations:
The setting of the ε value can affect the performance of the algorithm. Further research is needed to determine the optimal ε value.
Analysis of the computational complexity of the ε-ACP algorithm is lacking. Further performance evaluation on large-scale datasets is needed.
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