Abstract
In this paper we discuss the mathematical properties of a few kernels specifically constructed for dealing with image data in binary classification and novelty detection problems. First, we show that histogram intersection is a Mercer’s kernel. Then, we show that a similarity measure based on the notion of Hausdorff distance and directly applicable to raw images, though not a Mercer’s kernel, is a kernel for novelty detection. Both kernels appear to be well suited for building effective vision-based learning systems.
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Barla, A., Franceschi, E., Odone, F., Verri, A. (2002). Image Kernels. In: Lee, SW., Verri, A. (eds) Pattern Recognition with Support Vector Machines. SVM 2002. Lecture Notes in Computer Science, vol 2388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45665-1_7
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DOI: https://doi.org/10.1007/3-540-45665-1_7
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