Title
Proving to the Coincidence of the Solutions of the Modified Problem with the Original Problem of Multi-class Support Vector Machine
Abstract
Vojtech Franc and Vaclav Hlavac proposed a transformation from the multi-class Support Vector Machine problem to the one-class Support Vector Machine problem which is more convenient for optimization. Moreover, the proposed transformation can be performed by the properly defined kernel function only. The experiments conducted indicate that the proposed method is comparable with the one-against-all decomposition solved by the state-of-the-art Sequential Minimal Optimizer algorithms. This paper proves strictly with theory that the solution of the one-class Support Vector Machine problem coincides mostly with the solution of the multi-class Support Vector Machine problem.
Year
DOI
Venue
2008
10.1109/FSKD.2008.196
FSKD (2)
Keywords
Field
DocType
vojtech franc,proposed transformation,multi-class support,vaclav hlavac,original problem,kernel function,vector machine problem,modified problem,one-class support,state-of-the-art sequential minimal optimizer,one-against-all decomposition,support vector machines,kernel,pattern recognition,optimization,algorithm design and analysis,support vector machine,sequential minimal optimization,classification algorithms,artificial neural networks
Computer science,Artificial intelligence,Artificial neural network,Kernel (linear algebra),Mathematical optimization,Algorithm design,Pattern recognition,Support vector machine,Relevance vector machine,Statistical classification,Kernel method,Machine learning,Kernel (statistics)
Conference
Citations 
PageRank 
References 
0
0.34
9
Authors
3
Name
Order
Citations
PageRank
Xin Xue142.31
Guoping He29113.59
Chenglong Zhao300.34