# 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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