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Paper · arXiv

ORACLE: Optimizer-Relative Alignment for Constrained LEarning

Constraint handling methods typically intervene before the optimizer acts, by modifying the objective or the gradient. Yet momentum, adaptive scaling, and structured preconditioning can substantially reshape that signal before it becomes a parameter update. We formulate optimizer relative constrained learning, where constraint compatibility is assessed on the post optimizer update. Building on this view, we introduce ORACLE, which evaluates the native optimizer's realized step through a joint endpoint linearization of heterogeneous constraint families, constructs the resulting alignment in the optimizer's own geometry, bounds its authority, and commits it only after validation. We evaluat...

AuthorsUtkarsh Grover, Wyatt Mackey, Kaixun Hua et al.
Primary categorycs.LG
Published6 October 2026
Last updated at source6 October 2026
cs.LG
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