The goal of simultaneous feature selection and outlier detection is to determine a sparse linear regression vector by fitting a dataset possibly affected by the presence of outliers.

中文翻译：

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l1范数下同时进行特征选择和异常值检测的数学编程

同时进行特征选择和异常值检测的目标是通过拟合可能受异常值存在影响的数据集来确定稀疏线性回归向量。