Title:
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Averaging of kernel functions
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Author:
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Belanche Muñoz, Luis Antonio; Tosi, Alessandra
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics; Universitat Politècnica de Catalunya. SOCO - Soft Computing |
Abstract:
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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 values actually generate valid kernels. |
Subject(s):
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-Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial -Kernel functions -Support vector machines -Kernel-based machines -Multiple kernel learning -Arithmetic average -Kernel, Funcions de |
Rights:
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Document type:
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Article - Published version Conference Object |
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