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## Decision boundaries

Hi,

Could a neural network, a knn or a ridge regression with a kernel trick solve the XOR problem ?

Is it possible to have this kind of decision boundary with a kernel trick ?

I guess that yes since a neural network could do it and a neural network performs feature extraction but I would like to confirm.

Finally, will the ridge regression and the kernelized ridge regression with a linear kernel that we have seen in class always give the same decision boundary ?

Thank you for your time.

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