Necessary and Sufficient Conditions for Surrogate Functions of Pareto Frontiers and Their Synthesis Using Gaussian Processes

@article{Miranda2017NecessaryAS,
  title={Necessary and Sufficient Conditions for Surrogate Functions of Pareto Frontiers and Their Synthesis Using Gaussian Processes},
  author={C. S. Miranda and F. V. Von Zuben},
  journal={IEEE Transactions on Evolutionary Computation},
  year={2017},
  volume={21},
  pages={1-13}
}
  • C. S. Miranda, F. V. Von Zuben
  • Published 2017
  • Computer Science, Mathematics
  • IEEE Transactions on Evolutionary Computation
  • This paper introduces necessary and sufficient conditions that surrogate functions must satisfy to properly define frontiers of nondominated solutions in multiobjective optimization (MOO) problems. These new conditions work directly on the objective space, and thus are agnostic about how the solutions are evaluated. Therefore, real objectives or user-designed objectives’ surrogates are allowed, opening the possibility of linking independent objective surrogates. To illustrate the practical… CONTINUE READING

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