Non-adaptive Quasi-optimal Points Selection for Least Squares Linear Regression

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：hanjzh

【摘要】

：

　　We present a quasi-optimal sample set for ordinary least squares regression.The quasi-optimal set is designed in such a way that,for a given number of sampl

【作者】

：

ShinYeonjong;XiuDongbin;

【机构】

：

Univ.of Utah

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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论文部分内容阅读

　　We present a quasi-optimal sample set for ordinary least squares regression.The quasi-optimal set is designed in such a way that,for a given number of samples,it delivers the near optimal regression model.The quasioptimal set is defined by maximization of a quantity measuring the mutual orthogonality and determinant of the model matrix.We present its theoretical justification,efficient implementation and demonstrate its efficiency via several numerical examples.

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Non-adaptive Quasi-optimal Points Selection for Least Squares Linear Regression

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