K Means, Kernel Trick, Clustering, Unsupervised Clustering, Data Science.
assuming vectors are column wise. For calculating f(xᵢ) * f(xᵢ), it is as following: f(xᵢ) * f(xᵢ) = K(xᵢ, xᵢ) = (xᵢᵀ xᵢ)² = ([1, 2, 3][1, 2, 3]ᵀ)² = (1+ 4 + 9)² =(14)² = 196 To apply the kernel trick you need f(x) * f(y), the dot product in the higher space for all combinations of data points