2013
DOI: 10.1016/j.neucom.2012.11.044
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Averaging of kernel functions

Abstract: Abstract. In kernel-based machines, the integration of several kernels to build more flexible learning methods is a promising avenue for research. In particular, in Multiple Kernel Learning a compound kernel is build by learning a kernel that is the weighted mean of several sources. We show in this paper that the only feasible average for kernel learning is precisely the arithmetic average. We also show that three familiar means (the geometric, inverse root mean square and harmonic means) for positive real val… Show more

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Cited by 10 publications
(7 citation statements)
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“…As stated in previous studies [39,40], the effectiveness of the single kernel function has been verified. According to Shiju et al [41], Proposition 1 can be obtained, which sustains the validness of the self-organizing MK learning strategy.…”
Section: Lssvm Based On Self-organizing Mk Learningsupporting
confidence: 53%
“…As stated in previous studies [39,40], the effectiveness of the single kernel function has been verified. According to Shiju et al [41], Proposition 1 can be obtained, which sustains the validness of the self-organizing MK learning strategy.…”
Section: Lssvm Based On Self-organizing Mk Learningsupporting
confidence: 53%
“…e multikernel algorithm for the feature fusion in this paper chooses Aver-ageMKL that the average for kernel learning is the arithmetic average [49]. Although this algorithm is simple, it is a strong algorithm that is often better than other more advanced techniques and can achieve advantageous results [50].…”
Section: Mouse Featuresmentioning
confidence: 99%
“…In the Fixed or Heuristic family there are some very simple (but effective) solutions. In fact, in some applications, the average method (that equal to the sum of the kernels (Belanche and Tosi, 2013)) can give better results than the combination of multiple SVMs each trained with one of these kernels (Pavlidis et al., 2001). Another solution, can be the element-wise product of the kernel matrices contained in the family of basic kernels (Aiolli and Donini, 2014).…”
Section: Theorymentioning
confidence: 99%