Bootstrap Inference for Network Construction

Statistics – Methodology

Scientific paper

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Scientific paper

Regularization techniques are widely used for tackling high-dimension-low-sample-size problems. Yet, finding the right amount of regularization can be challenging, especially in the unsupervised setting such as structure learning problems where traditional methods such as BIC or cross-validation often do not work well. In this paper, we propose a new method --- Bootstrap Inference for Network COnstruction (BINCO) --- to infer networks by directly controlling the false discovery rates (FDRs) of the selected edges. This method utilizes the idea of model aggregation. It fits a mixture model for the distribution of edge selection frequencies to estimate the FDRs. As this method only depends on selection frequencies, it is applicable to a wide range of applications beyond network construction.

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