Post-selection inference with HSIC-Lasso
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Publication:6352561
arXiv2010.15659MaRDI QIDQ6352561
Author name not available (Why is that?)
Publication date: 29 October 2020
Abstract: Detecting influential features in non-linear and/or high-dimensional data is a challenging and increasingly important task in machine learning. Variable selection methods have thus been gaining much attention as well as post-selection inference. Indeed, the selected features can be significantly flawed when the selection procedure is not accounted for. We propose a selective inference procedure using the so-called model-free "HSIC-Lasso" based on the framework of truncated Gaussians combined with the polyhedral lemma. We then develop an algorithm, which allows for low computational costs and provides a selection of the regularisation parameter. The performance of our method is illustrated by both artificial and real-world data based experiments, which emphasise a tight control of the type-I error, even for small sample sizes.
Has companion code repository: https://github.com/riken-aip/pyHSICLasso
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