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Partial Linearization Based Optimization for Multi-class SVM

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We propose a novel partial linearization based approach for optimizing the multi-class SVM learning problem。 Our method is an intuitive generalization of the Frank-Wolfe and the exponentiated gradient algorithms。 In particular, it allows us to combine several of their desirable qualities into one approach: (ⅰ) the use of an expectation oracle (which provides the marginals over each output class) in order to estimate an informative descent direction, similar to exponentiated gradient; (ⅱ) analytical computation of the optimal step-size in the descent direction that guarantees an increase in the dual objective, similar to Frank-Wolfe; and (ⅲ) a block coordinate formulation similar to the one proposed for Frank-Wolfe, which allows us to solve large-scale problems。 Using the challenging computer vision problems of action classification, object recognition and gesture recognition, we demonstrate the efficacy of our approach on training multi-class SVMs with standard, publicly available, machine learning datasets。

Multi-class SVMPartial linearizationOptimization

Pritish Mohapatra、Puneet Kumar Dokania、C.V. Jawahar、M. Pawan Kumar

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IIIT-Hyderabad, Hyderabad, India

CentraleSupelec and Inria Saclay, Palaiseau, France

University of Oxford, Oxford, UK

European conference on computer vision

Amsterdam(NL)

Computer vision - ACCV 2016

842-857

2016