Data Science, Kernel Trick, Machine Learning, Machine Learning Theory.
function f(.) within a set of functions ℌ s.t. Σᵢ l(f(xᵢ), yᵢ) is minimized w.r.t. a loss function l(.,.). Such a set of functions, known as hypothesis set in the machine learning field, is exactly a function space. Since we are finding the optimum within ℌ, the larger it is, the more admissible