Is Geometric Median Affine Equivariance?

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Does the geometric median have the natural property - Affine Equivariance? That is the depth of the geometric median and its relative location to other data points do not change under affine transformation, data scaling, translation or rotation (i.e. its analysis is independent).










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    $begingroup$


    Does the geometric median have the natural property - Affine Equivariance? That is the depth of the geometric median and its relative location to other data points do not change under affine transformation, data scaling, translation or rotation (i.e. its analysis is independent).










    share|cite|improve this question









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      $begingroup$


      Does the geometric median have the natural property - Affine Equivariance? That is the depth of the geometric median and its relative location to other data points do not change under affine transformation, data scaling, translation or rotation (i.e. its analysis is independent).










      share|cite|improve this question









      $endgroup$




      Does the geometric median have the natural property - Affine Equivariance? That is the depth of the geometric median and its relative location to other data points do not change under affine transformation, data scaling, translation or rotation (i.e. its analysis is independent).







      geometry equivalence-relations affine-geometry median






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      asked Dec 4 '18 at 15:13









      MikeMike

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