with the label so they're noise coordinates are kind of for you and they exactly do full a kernel method a kernel method is unable to localize onto the first two dimensions so it has to look over all dimensions and it pays sample complexity at least d squared to get some air last if you want R less than some absolute constant you need to pay at least d square samples because a cardinal method to solve this problem needs at least form pairwise degree to polynomials that has complexity d squared however for that sort of to XOR