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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In the present paper we provide a new algorithm for muticlass vector machines. Our
starting point is a generalized notion of the maximal margin to multiclass problems. Using this notion
we cast the muticlass problem as a binary classification task every time. So we combine a new
classification function with the approximate maximal margin algorithm which is devised for binary
classification.Our algorithm needs O( (p−1)
α2γ2 ) corrections every time to separate the data with p-norm
margin larger than l(1 − α)γ, with γ being the p-norm margin of the data.