What is Kernel (used in clustering algorithms)? What is the primary motivation for using the kernel trick in machine learning algorithms?

Question

Question of Machine Leanring

Answer 1

If we want to map sample points to a very high-dimensional feature space, the kernel trick can save us from

having to compute those features explicitly, thereby saving a lot of time.

(Alternative solution: the kernel trick enables the use of innite-dimensional feature spaces.). In clustering, kernel helps in identifying non-linear structures.