| # A toy 2D optimization problem: geometric view via the epigraph form Consider the toy problem We can represent the problem in epigraph form, as
| Geometric view of the toy optimization problem above. The level curves (curves of constant value) of the objective function are shown. The problem amounts to find the smallest value of such that for some feasible . The plot shows the unconstrained minimum of the objective function, located at .
See also: An optimization problem in two variables. Nomenclature for the toy problem.