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An Analysis of Regularized Approaches for Constrained Machine Learning

Machine Learning 2020-05-22 v1 Artificial Intelligence Machine Learning

Abstract

Regularization-based approaches for injecting constraints in Machine Learning (ML) were introduced to improve a predictive model via expert knowledge. We tackle the issue of finding the right balance between the loss (the accuracy of the learner) and the regularization term (the degree of constraint satisfaction). The key results of this paper is the formal demonstration that this type of approach cannot guarantee to find all optimal solutions. In particular, in the non-convex case there might be optima for the constrained problem that do not correspond to any multiplier value.

Keywords

Cite

@article{arxiv.2005.10674,
  title  = {An Analysis of Regularized Approaches for Constrained Machine Learning},
  author = {Michele Lombardi and Federico Baldo and Andrea Borghesi and Michela Milano},
  journal= {arXiv preprint arXiv:2005.10674},
  year   = {2020}
}
R2 v1 2026-06-23T15:43:03.693Z