Surrogate Model - Invariance Properties

Invariance Properties

Recently proposed comparison-based surrogate models (e.g. Ranking Support Vector Machine) for evolutionary algorithms, such as CMA-ES, allow to preserve some invariance properties of surrogate-assisted optimizers:

  • 1. Invariance with respect to monotonous transformations of the function (scaling)
  • 2. Invariance with respect to orthogonal transformations of the search space (rotation).

A recent survey of surrogate-assisted evolutionary optimization techniques can be found in.

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