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On Kernel Target Alignment

  • Nello Cristianini
  • Jaz Kandola
  • Andre Elisseeff
  • John Shawe-Taylor
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 194)

Abstract

Kernel based methods are increasingly being used for data modeling because of their conceptual simplicity and outstanding performance on many tasks. However, in practice the kernel function is often chosen using trial-and-error heuristics. In this paper we address the problem of measuring the degree of agreement between a kernel and a learning task. We propose a quantity to capture this notion, which we call alignment. We study its theoretical properties, and derive a series of simple algorithms for adapting a kernel to the targets. This produces a series of novel methods for both transductive and inductive inference, kernel combination and kernel selection for both classification and regression problems that are computationally feasible for large problems. The algorithms are tested on publicly available datasets and are shown to exhibit good performance.

Keywords

Ridge Regression Kernel Matrix True Alignment Breast Cancer Data Breast Cancer Dataset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Nello Cristianini
    • 1
  • Jaz Kandola
    • 2
  • Andre Elisseeff
    • 3
  • John Shawe-Taylor
    • 4
  1. 1.Department of StatisticsUniversity of California at DavisDavis
  2. 2.Quantitative Analytics DivisionMerrill LynchLondon
  3. 3.IBM Research LabRueschlikonSwitzerland
  4. 4.School of Electronics and Computer ScienceUniversity of SouthamptonUK

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