How to find explicit feature map $phi $? [closed]Proving the image of inner product map is whole subspaceHow...

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How to find explicit feature map $phi $? [closed]


Proving the image of inner product map is whole subspaceHow do you show the connection of reproducing kernels to feature maps?Angles in Inner Product SpacesRelatioship between Weight of inner product on Hilbert space and elementsImplicit feature space of Power Kernelexistence of inner product preserving linear map?Find basis for orthogonal complement polynomialFeature maps and Reproducing Kernel Hilbert SpacesProve that if $phi$ is an isometry, then $overline phi = phi^{-1}$Explicit formula for inner product given orthonormal basis













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$begingroup$


Given,
polynomial kernel K(x,y) = $(x^Ty)^2$ for x,y $ in R^2$ and $< phi (x), phi (y)> = K(x,y)$ for $ phi : R^2 -> R^3 $
where the inner product the standard inner product in $R^3 $










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$endgroup$



closed as off-topic by José Carlos Santos, Cesareo, YiFan, user1729, RRL Mar 12 at 22:52


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – YiFan, user1729, RRL

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 12 at 15:05
















0












$begingroup$


Given,
polynomial kernel K(x,y) = $(x^Ty)^2$ for x,y $ in R^2$ and $< phi (x), phi (y)> = K(x,y)$ for $ phi : R^2 -> R^3 $
where the inner product the standard inner product in $R^3 $










share|cite|improve this question









$endgroup$



closed as off-topic by José Carlos Santos, Cesareo, YiFan, user1729, RRL Mar 12 at 22:52


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – YiFan, user1729, RRL

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 12 at 15:05














0












0








0





$begingroup$


Given,
polynomial kernel K(x,y) = $(x^Ty)^2$ for x,y $ in R^2$ and $< phi (x), phi (y)> = K(x,y)$ for $ phi : R^2 -> R^3 $
where the inner product the standard inner product in $R^3 $










share|cite|improve this question









$endgroup$




Given,
polynomial kernel K(x,y) = $(x^Ty)^2$ for x,y $ in R^2$ and $< phi (x), phi (y)> = K(x,y)$ for $ phi : R^2 -> R^3 $
where the inner product the standard inner product in $R^3 $







hilbert-spaces inner-product-space hilbert-polynomial






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 12 at 5:21









PadfootPadfoot

11




11




closed as off-topic by José Carlos Santos, Cesareo, YiFan, user1729, RRL Mar 12 at 22:52


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – YiFan, user1729, RRL

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by José Carlos Santos, Cesareo, YiFan, user1729, RRL Mar 12 at 22:52


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – YiFan, user1729, RRL

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 12 at 15:05


















  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 12 at 15:05
















$begingroup$
Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
$endgroup$
– dantopa
Mar 12 at 15:05




$begingroup$
Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
$endgroup$
– dantopa
Mar 12 at 15:05










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