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Parallel Clifford Support Vector Machines Using the Gaussian Kernel

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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… Click to show full abstract

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.

Keywords: vector machines; gaussian kernel; clifford support; support vector

Journal Title: Advances in Applied Clifford Algebras
Year Published: 2017

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