Question: Kernel Operations in Feature Space: Remember that in class we proved that some basic kernel operations, such as norm of a point or total variance

 Kernel Operations in Feature Space: Remember that in class we proved

Kernel Operations in Feature Space: Remember that in class we proved that some basic kernel operations, such as norm of a point or total variance in feature space, can be calculated only using kernels. Consider a new operation, called Relative Euclidean Distance (RED), as defined below: RED(x, y) .)2 -19 d (r and y are d-dimensional data points.) Can the RED operation be calculated on data points in feature space only using kernels? Prove or disprove. Kernel Operations in Feature Space: Remember that in class we proved that some basic kernel operations, such as norm of a point or total variance in feature space, can be calculated only using kernels. Consider a new operation, called Relative Euclidean Distance (RED), as defined below: RED(x, y) .)2 -19 d (r and y are d-dimensional data points.) Can the RED operation be calculated on data points in feature space only using kernels? Prove or disprove

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