Hello everyone! I hope you can help me or give advice on the following.

In optimization, it is common practice to draw the objective function over the design space to assess the optimal solution. The main reason to perform this task is to observe whether the optimizer provides the global optimum and check the properties of the objective function in the design space. I usually perform this with contour plots when the problem has two design variables. But, when dealing with a multi-variable design space (e.g., ten variables), it is tough to picture the objective function's values in this multi-dimensional space.

Any thoughts or recommendations on this matter? Thanks!