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Paper · arXiv

Learning Samples Importance: Parameterizing Dual Variables in Everywhere Learning

Everywhere learning provides a principled framework for training AI models under constraints that must hold throughout the data distribution. In the dual domain, these pointwise constraints give rise to functional dual variables. In this work, we propose to learn these dual variables, motivated by the fact that their values encode useful information about the underlying constrained problem. By representing the dual variable as a parametric function of each sample, we enable the learned multiplier to be evaluated on new, unseen samples. This contrasts with standard empirical dual formulations, which assign an independent multiplier to each training sample. We characterize the error in the ...

AuthorsIgnacio Boero, Jonathan Nixon, Alejandro Ribeiro
Primary categorycs.LG
Published28 September 2026
Last updated at source28 September 2026
cs.LGeess.SP
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