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SVM: Are kernel functions closed under positive real powers?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Invertibility of Grammian in Reproducing Kernel Hilbert SpaceLinear regression with feature representation confusion - is design matrix column space the feature space?Is there a positive-semidefinite convolution kernel, that is continuous at $0$ but discontinuous elsewhere?Why $nu>-1$ in weighted Bergman spaces?Uniqueness of Reproducing Kernel Hilbert SpaceEach Hilbert space of holomorphic functions on $mathbb C$ is a reproducing kernel Hilbert space?RKHS of a Polynomial Kernel with negative rootsKernel function with a feature space equipped with an inner product that is not the dot product










0












$begingroup$


If k is a valid kernel (meeting Mercer's conditions) is $k^alpha$ for $alpha in mathbbR^+$ a valid kernel in general?



Any references showing a proof or otherwise would be much appreciated?










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    If k is a valid kernel (meeting Mercer's conditions) is $k^alpha$ for $alpha in mathbbR^+$ a valid kernel in general?



    Any references showing a proof or otherwise would be much appreciated?










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      If k is a valid kernel (meeting Mercer's conditions) is $k^alpha$ for $alpha in mathbbR^+$ a valid kernel in general?



      Any references showing a proof or otherwise would be much appreciated?










      share|cite|improve this question









      $endgroup$




      If k is a valid kernel (meeting Mercer's conditions) is $k^alpha$ for $alpha in mathbbR^+$ a valid kernel in general?



      Any references showing a proof or otherwise would be much appreciated?







      reproducing-kernel-hilbert-spaces






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 27 at 16:48









      CataclysmCataclysm

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