Embedded trees: estimation of Gaussian Processes on graphs with cycles

@article{Sudderth2004EmbeddedTE,
  title={Embedded trees: estimation of Gaussian Processes on graphs with cycles},
  author={Erik B. Sudderth and Martin J. Wainwright and Alan S. Willsky},
  journal={IEEE Transactions on Signal Processing},
  year={2004},
  volume={52},
  pages={3136-3150}
}
Graphical models provide a powerful general framework for encoding the structure of large-scale estimation problems. However, the graphs describing typical real-world phenomena contain many cycles, making direct estimation procedures prohibitively costly. In this paper, we develop an iterative inference algorithm for general Gaussian graphical models. It operates by exactly solving a series of modified estimation problems on spanning trees embedded within the original cyclic graph. When these… CONTINUE READING
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