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Markov Neighborhood Regression for High-Dimensional Inference

用于高维推断的马尔可夫邻域回归

This article proposes an innovative method for constructing confidence intervals and assessing p-values in statistical inference for high-dimensional linear models. The proposed method has successfully broken the high-dimensional inference problem into a series of low-dimensional inference problems: For each regression coefficient βi, the confidence interval and p-value are computed by regressing on a subset of variables selected according to the conditional independence…

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An Imputation–Regularized Optimization Algorithm for High Dimensional Missing Data Problems and Beyond

高维缺失数据的插补与正则化优化算法及其扩展

Summary Missing data are frequently encountered in high dimensional problems, but they are usually difficult to deal with by using standard algorithms, such as the expectation–maximization algorithm and its variants. To tackle this difficulty, some problem-specific algorithms have been developed in the literature, but there still lacks a general algorithm. This work is to fill the gap: we propose a general algorithm for high dimensional missing data problems. The algorithm…

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