Border-sensitive learning in generalized learning vector quantization: an alternative to support vector machines

Verfasser / Beitragende:
[Marika Kaden, Martin Riedel, Wieland Hermann, Thomas Villmann]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/9(2015-09-01), 2423-2434
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00500-014-1496-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1496-1 
245 0 0 |a Border-sensitive learning in generalized learning vector quantization: an alternative to support vector machines  |h [Elektronische Daten]  |c [Marika Kaden, Martin Riedel, Wieland Hermann, Thomas Villmann] 
520 3 |a Learning vector quantization (LVQ) algorithms as powerful classifier models for class discrimination of vectorial data belong to the family of prototype-based classifiers with a learning scheme based on Hebbian learning as a widely accepted neuronal learning paradigm. Those classifier approaches estimate the class distribution and generate from this a class decision for vectors to be classified. The estimation can be done by the determination of class-typical sensitive prototypes inside the class distribution area like in LVQ or by detection of the class borders for class discrimination as preferred by support vector machines (SVMs). Both strategies provide advantages and disadvantages depending on the given classification task. Whereas LVQs are very intuitive and usually process the data during learning in the data space, frequently equipped with variants of the Euclidean metric, SVMs implicitly map the data into a high-dimensional kernel-induced feature space for better separation. In this Hilbert space, the inner product is compliant to the kernel. However, this implicit mapping makes a vivid interpretation more difficult. As an alternative, we propose in this paper two modifications of LVQ to make it comparable to SVM: first border-sensitive learning is introduced to achieve border-responsible prototypes comparable with support vectors in SVM. Second, kernel distances for differentiable kernels are considered, such that prototype learning takes place in a metric space isomorphic to the feature mapping space of SVM. Combination of both features gives a powerful prototype-based classifier while keeping the easy interpretation and the intuitive Hebbian learning scheme of LVQ. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Learning vector quantization  |2 nationallicence 
690 7 |a Border sensitive classification  |2 nationallicence 
690 7 |a Kernel distance  |2 nationallicence 
690 7 |a Support vector machines  |2 nationallicence 
700 1 |a Kaden  |D Marika  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
700 1 |a Riedel  |D Martin  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
700 1 |a Hermann  |D Wieland  |u Department of Neurology, Paracelsus Hospital Zwickau, Zwickau, Germany  |4 aut 
700 1 |a Villmann  |D Thomas  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/9(2015-09-01), 2423-2434  |x 1432-7643  |q 19:9<2423  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1496-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1496-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kaden  |D Marika  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Riedel  |D Martin  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hermann  |D Wieland  |u Department of Neurology, Paracelsus Hospital Zwickau, Zwickau, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Villmann  |D Thomas  |u Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/9(2015-09-01), 2423-2434  |x 1432-7643  |q 19:9<2423  |1 2015  |2 19  |o 500