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Paper · arXiv

Everywhere Learning: Artificial Intelligence with Pointwise Constraints

Everywhere learning is a new paradigm whereby Artificial Intelligence (AI) systems are trained to satisfy loss constraints with probability one over the data distribution. This is in contrast to the standard paradigm of training AI systems to minimize average losses. We develop an approximate duality theory to substantiate a generalization analysis that establishes the proximity between solutions of empirical and statistical everywhere learning problems. Our results show that dual variables reweigh the data distribution towards points in which loss constraints are more difficult to satisfy and that generalization is controlled by the mismatch between the concentration of mass of the data ...

AuthorsIgnacio Boero, Ignacio Hounie, Luiz F. O. Chamon et al.
Primary categorycs.LG
Published1 June 2026
Last updated at source2 October 2026
cs.LGeess.SP
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