Optimization With Parity Constraints: From Binary Codes to Discrete Integration

@article{Ermon2013OptimizationWP,
  title={Optimization With Parity Constraints: From Binary Codes to Discrete Integration},
  author={Stefano Ermon and Carla P. Gomes and Ashish Sabharwal and Bart Selman},
  journal={CoRR},
  year={2013},
  volume={abs/1309.6827}
}
Many probabilistic inference tasks involve summations over exponentially large sets. Recently, it has been shown that these problems can be reduced to solving a polynomial number of MAP inference queries for a model augmented with randomly generated parity constraints. By exploiting a connection with max-likelihood decoding of binary codes, we show that these optimizations are computationally hard. Inspired by iterative message passing decoding algorithms, we propose an Integer Linear… CONTINUE READING
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