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Parallel Clifford Support Vector Machines Using the Gaussian Kernel

Author:
Gehová López-González  Nancy Arana-Daniel  Eduardo Bayro-Corrochano  


Journal:
Advances in Applied Clifford Algebras


Issue Date:
2017


Abstract(summary):

This work presents a parallelization method for the Clifford support vector machines, based in two characteristics of the Gaussian Kernel. The pure real-valued result and its commutativity allows us to separate the multivector data in its defining subspaces. These subspaces are independent from each other, so we can solve the problem using parallelism. The motivation is to present an easy approach that can be explained using the more common known concepts of complex numbers and quaternions, because in general there exists a lack of familiarity with geometric algebra.


Page:
647–660


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