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Paper · arXiv

A Solver-Free Training Method for Predict-then-Optimize

We propose a scalable method for training prediction (machine learning) models in the predict-then-optimize paradigm, where model outputs serve as coefficients for a subsequent linear optimization task. Directly minimizing the empirical decision regret is intractable for linear programming and combinatorial optimization since the decision mapping is piecewise constant, and the gradients are zero almost everywhere. While existing methods address this by smoothing the differentiation process, they suffer from scalability issues, since a computationally expensive solver call is required for every gradient evaluation. To address this, we propose a decision-focused learning pipeline based on a...

AuthorsBeichen Wan, Mo Liu
Primary categorystat.ML
Published17 June 2026
Last updated at source17 June 2026
stat.MLcs.LG
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