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Multicategory Support Vector Machines: Theory and Application to the Classification of Microarray Data and Satellite Radiance Data
Abstract
Two-category support vector machines (SVM) have been very popular in the machine learning community for classification problems. Solving multicategory problems by a series of binary classifiers is quite common in the SVM paradigm; however, this approach may fail under various circumstances. We propose the multicategory support vector machine (MSVM), which extends the binary SVM to the multicategory case and has good theoretical properties. The proposed method provides a unifying framework when there are either equal or unequal misclassification costs. As a tuning criterion for the MSVM, an approximate leave-one-out cross-validation function, called Generalized Approximate Cross Validation, is derived, analogous to the binary case. The effectiveness of the MSVM is demonstrated through the applications to cancer classification using microarray data and cloud classification with satellite radiance profiles.
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Cites
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SVM-KNN: Discriminative Nearest Neighbor Classification for Visual Category Recognition
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Compound facial expressions of emotion
Du, S., Tao, Y., & Martinez, A. M. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1322355111 · Cited by 806
Human–Agent Teaming for Multirobot Control: A Review of Human Factors Issues
Chen, J. Y. C., & Barnes, M. J. (2014) · IEEE Transactions on Human-Machine Systems · doi:10.1109/thms.2013.2293535 · Cited by 522
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Metadata
- Authors
- Lee, Y., Lin, Y., & Wahba, G.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2004-03
- Volume
- 99
- Issue
- 465
- Pages
- 67-81
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2116444583
- Cited by
- 741
- References
- 6
- FWCI
- 33.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lee, Y., Lin, Y., & Wahba, G. (2004). Multicategory Support Vector Machines: Theory and Application to the Classification of Microarray Data and Satellite Radiance Data. Journal of the American Statistical Association. https://doi.org/10.1198/016214504000000098
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