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Two-Stage Predict+Optimize for MILPs with Unknown Parameters in Constraints

Neural Information Processing Systems

Consider the setting of constrained optimization, with some parameters unknown at solving time and requiring prediction from relevant features. Predict Optimize is a recent framework for end-to-end training supervised learning models for such predictions, incorporating information about the optimization problem in the training process in order to yield better predictions in terms of the quality of the predicted solution under the true parameters. Almost all prior works have focused on the special case where the unknowns appear only in the optimization objective and not the constraints. Hu et al. proposed the first adaptation of Predict Optimize to handle unknowns appearing in constraints, but the framework has somewhat ad-hoc elements, and they provided a training algorithm only for covering and packing linear programs. In this work, we give a new simpler and more powerful framework called Two-Stage Predict Optimize, which we believe should be the canonical framework for the Predict Optimize setting.