288 pp. per issue
6 x 9, illustrated
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Neural Computation

March 2007, Vol. 19, No. 3, Pages 792-815
(doi: 10.1162/neco.2007.19.3.792)
© 2007 Massachusetts Institute of Technology
Support Vector Ordinal Regression
Article PDF (931.49 KB)

In this letter, we propose two new support vector approaches for ordinal regression, which optimize multiple thresholds to define parallel discriminant hyperplanes for the ordinal scales. Both approaches guarantee that the thresholds are properly ordered at the optimal solution. The size of these optimization problems is linear in the number of training samples. The sequential minimal optimization algorithm is adapted for the resulting optimization problems; it is extremely easy to implement and scales efficiently as a quadratic function of the number of examples. The results of numerical experiments on some benchmark and real-world data sets, including applications of ordinal regression to information retrieval, verify the usefulness of these approaches.