New multicategory boosting algorithms based on multicategory Fisher-consistent losses
| dc.creator | Zou, Hui | |
| dc.creator | Zhu, Ji | |
| dc.creator | Hastie, Trevor | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:32Z | |
| dc.date.available | 2026-07-07T12:34:32Z | |
| dc.description | Fisher-consistent loss functions play a fundamental role in the construction of successful binary margin-based classifiers. In this paper we establish the Fisher-consistency condition for multicategory classification problems. Our approach uses the margin vector concept which can be regarded as a multicategory generalization of the binary margin. We characterize a wide class of smooth convex loss functions that are Fisher-consistent for multicategory classification. We then consider using the margin-vector-based loss functions to derive multicategory boosting algorithms. In particular, we derive two new multicategory boosting algorithms by using the exponential and logistic regression losses. | |
| dc.description | Published in at http://dx.doi.org/10.1214/08-AOAS198 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0901.3988 | |
| dc.identifier | http://arxiv.org/abs/0901.3988 | |
| dc.identifier | Annals of Applied Statistics 2008, Vol. 2, No. 4, 1290-1306 | |
| dc.identifier | doi:10.1214/08-AOAS198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217467 | |
| dc.subject | Applications | |
| dc.title | New multicategory boosting algorithms based on multicategory Fisher-consistent losses | |
| dc.type | text |