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

Stefano Vigogna; Giacomo Meanti; Ernesto De Vito; Lorenzo Rosasco

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arXiv · 2202.01773

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

Stefano Vigogna·Giacomo Meanti·Ernesto De Vito·Lorenzo Rosasco

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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.

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Stefano Vigogna, Giacomo Meanti, Ernesto De Vito, Lorenzo Rosasco. 2022-02-03. Multiclass learning with margin: exponential rates with no bias-variance trade-off. https://arxiv.org/abs/2202.01773

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