The Sum Squares function, also referred to as the Axis Parallel Hyper-Ellipsoid function, has no local minimum except the global one. It is continuous, convex and unimodal. It is shown here in its two ...

also referred to as the Sum Squares function. The plot shows its two-dimensional form. The function is usually evaluated on the hypercube x i ∈ [-65.536, 65.536], for all i = 1, …, d.

If you notice that the first term is a perfect square, and the second term is a perfect square, and you have a negative here, we can say that it is "the difference of two squares ... for the ...