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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Online confusion learning and passive-aggressive scheme.

Liva Ralaivola
LIS, Aix-Marseille Université
https://pageperso.lif.univ-mrs.fr/~liva.ralaivola/doku.php

Date(s) : 22/11/2012   iCal
14h00 - 15h00

Online confusion learning and passive-aggressive scheme By Liva Ralaivola, LIF. This work provides the first — to the best of our knowledge — analysis of online learning algorithms for multiclass problems when the confusion matrix is taken as a performance measure. The work builds upon recent and elegant results on non- commutative concentration inequalities, i.e. concentration inequalities that apply to matrices, and more precisely to matrix martingales. We do establish generalization bounds for online learning algorithms and show how the theoretical study motivates the proposition of a new confusion-friendly learning procedure. This learning algorithm, called COPA (for COnfusion Passive-Aggressive) is a passive- aggressive learning algorithm ; it is shown that the update equations for COPA can be computed analytically, thus allowing the user from not having to recourse to any optimization package to implement it.

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