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Smart Surrogate Losses for Contextual Stochastic Linear Optimization with Robust Constraints

  • This study focuses on an extension of contextual stochastic linear optimization involving inequality constraints with uncertain parameters predicted by a machine learning model.
  • Contextual uncertainty sets constructed using methods like conformal prediction are used to handle constraint uncertainty.
  • The study introduces the 'Smart Predict-then-Optimize with Robust Constraints' (SPO-RC) loss, a feasibility-sensitive adaptation measuring decision error of predicted objective parameters.
  • Experiments conducted on fractional knapsack and alloy production problem instances show that SPO-RC+ effectively deals with constraints uncertainty, and combining truncation with importance reweighting can further enhance performance.

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