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Multiclass learning with margin: exponential rates with no bias-variance trade-off

Machine Learning 2022-02-04 v1 Machine Learning

Abstract

We study the behavior of error bounds for multiclass classification under suitable margin conditions. For a wide variety of methods we prove that the classification error under a hard-margin condition decreases exponentially fast without any bias-variance trade-off. Different convergence rates can be obtained in correspondence of different margin assumptions. With a self-contained and instructive analysis we are able to generalize known results from the binary to the multiclass setting.

Keywords

Cite

@article{arxiv.2202.01773,
  title  = {Multiclass learning with margin: exponential rates with no bias-variance trade-off},
  author = {Stefano Vigogna and Giacomo Meanti and Ernesto De Vito and Lorenzo Rosasco},
  journal= {arXiv preprint arXiv:2202.01773},
  year   = {2022}
}
R2 v1 2026-06-24T09:18:35.030Z