On an additive partial correlation operator and nonparametric estimation of graphical models

@article{Lee2016OnAA,
  title={On an additive partial correlation operator and nonparametric estimation of graphical models},
  author={Kuang‐Yao Lee and Bing Li and Hongyu Zhao},
  journal={Biometrika},
  year={2016},
  volume={103},
  pages={513 - 530}
}
Abstract We introduce an additive partial correlation operator as an extension of partial correlation to the nonlinear setting, and use it to develop a new estimator for nonparametric graphical models. Our graphical models are based on additive conditional independence, a statistical relation that captures the spirit of conditional independence without having to resort to high-dimensional kernels for its estimation. The additive partial correlation operator completely characterizes additive… 

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