Search Results for author: Huijie Feng

Found 2 papers, 0 papers with code

Regularized Training and Tight Certification for Randomized Smoothed Classifier with Provable Robustness

no code implementations17 Feb 2020 Huijie Feng, Chunpeng Wu, Guoyang Chen, Weifeng Zhang, Yang Ning

In this work, we derive a new regularized risk, in which the regularizer can adaptively encourage the accuracy and robustness of the smoothed counterpart when training the base classifier.

Nonregular and Minimax Estimation of Individualized Thresholds in High Dimension with Binary Responses

no code implementations26 May 2019 Huijie Feng, Yang Ning, Jiwei Zhao

Statistically, we show that the finite sample error bound for estimating $\theta$ in $\ell_2$ norm is $(s\log d/n)^{\beta/(2\beta+1)}$, where $d$ is the dimension of $\theta$, $s$ is the sparsity level, $n$ is the sample size and $\beta$ is the smoothness of the conditional density of $X$ given the response $Y$ and the covariates $Z$.

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