Physics as data / From geometry to numbers

Sampling the design space

Spread a limited simulation budget evenly over the designs you care about.

Choose design variables and ranges, spread samples with a space-filling design (Latin hypercube, Sobol, maximin), run the solver for each and hold some out for validation.

Related

• Training: Fit the weights once on the training simulations and watch the validation curve.
• Validation: Compare surrogate and solver on designs the network never saw, inside and outside the training range.
• Technique library: Thirty techniques that make surrogates work in practice, from basics to the frontier.