Gradient-based numerical optimization of complex
engineering designs offers the promise of rapidly producing
better designs. However, such methods generally assume
that the objective function and constraint functions are
continuous, smooth, and defined everywhere. Unfortunately,
realistic simulators tend to violate these assumptions,
making optimization unreliable. Several decisions that
need to be made in setting up an optimization, such as
the choice of a starting prototype and the choice of a
formulation of the search space, can make a difference
in the reliability of the optimization. Machine learning
can improve gradient-based methods by making these choices
based on the results of previous optimizations. This paper
demonstrates this idea by using machine learning for four
parts of the optimization setup problem: selecting a starting
prototype from a database of prototypes, synthesizing a
new starting prototype, predicting which design goals are
achievable, and selecting a formulation of the search space.
We use standard tree-induction algorithms (C4.5 and CART).
We present results in two realistic engineering domains:
racing yachts and supersonic aircraft. Our experimental
results show that using inductive learning to make setup
decisions improves both the speed and the reliability of
design optimization.