Incremental and Decremental SVM for Regression


  • Honorius Gí¢lmeanu 1. Siemens Corporate Technology 2. Faculty of Mathematics and Informatics Transilvania University of Brasov
  • Lucian Mircea Sasu 1. Faculty of Mathematics and Informatics Transilvania University of Brasov 2. Siemens Corporate Technology
  • Razvan Andonie 1. Computer Science Department Central Washington University, Ellensburg, USA 2. Electronics and Computers Department Transilvania University of Brasov


support vector machine, incremental and decremental learning, regression, function approximation


Training a support vector machine (SVM) for regression (function approximation) in an incremental/decremental way consists essentially in migrating the input vectors in and out of the support vector set with specific modification of the associated thresholds. We introduce with full details such a method, which allows for defining the exact increments or decrements associated with the thresholds before vector migrations take place. Two delicate issues are especially addressed: the variation of the regularization parameter (for tuning the model performance) and the extreme situations where the support vector set becomes empty. We experimentally compare our method with several regression methods: the multilayer perceptron, two standard SVM implementations, and two models based on adaptive resonance theory.


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