Abstract | ||
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In kernel methods, all the information about the training data is contained in the Gram matrix. If this matrix has large diagonal values, which arises for many types of kernels, then kernel methods do not perform well. We propose and test several methods for dealing with this problem by reducing the dynamic range of the matrix while preserving the positive definiteness of the Hessian of the quadratic programming problem that one has to solve when training a Support Vector Machine. |
Year | DOI | Venue |
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2002 | 10.1007/3-540-45681-3_42 | ECML |
Keywords | DocType | ISBN |
dynamic range,training data,kernel approach,support vector machine,gram matrix,almost orthogonal patterns,quadratic programming problem,large diagonal value,positive definiteness,kernel method,orthogonal patterns,positive definite,quadratic program | Conference | 3-540-44036-4 |
Citations | PageRank | References |
18 | 1.92 | 12 |
Authors | ||
7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bernhard Schölkopf | 1 | 23120 | 3091.82 |
Jason Weston | 2 | 13068 | 805.30 |
eskin e leslie c | 3 | 18 | 1.92 |
william stafford noble | 4 | 120 | 11.15 |
tapio elomaa | 5 | 18 | 1.92 |
Heikki Mannila | 6 | 6595 | 1495.69 |
Hannu Toivonen | 7 | 4261 | 776.95 |