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The underlying idea behind the SVM is to calculate a maximal margin hyperplane that performs a binary classification of the data [22].
The underlying idea of SVM classifiers is to calculate a maximal margin hyperplane separating the cases and controls.
Classification is performed by determining the Euclidian distance of the data set to the n-1 dimensional maximal margin hyperplane (absolute value of the normal vector) and the direction of the vector (class 1 or class 2).
Classification is performed by determining the Euclidian distance (defined as the SVM score) of the polypeptides to the (n-1) dimensional maximal margin hyperplane and the direction of the vector.
SVM [ 13] separates a set of binary-labeled training data by means of a maximal margin hyperplane, building a decision function R N → ± 1.
SVM was introduced by [ 51] aiming to find the Maximal Margin Hyperplane (MMH) based on the concept of the support vector theory to minimize the error.
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Selection of kernel function parameter is also important to define the maximum margin hyperplane.
Unlike the traditional SVM that builds a maximum margin hyperplane in the original high-dimensional space where n ~ 10 – 10, MICA-SVM separates biological samples by constructing the maximum margin hyperplane in the spanned subspace where using the meta-samples.
The separating hyperplane is determined by a) mapping the input space into a higher dimensional feature space through a kernel function, and b) constructing in this feature space two maximal margin hyperplanes [ 16] to separate the mapped data samples in the higher dimensional space.
Consequently, the maximum margin hyperplane fits in a feature space with the help of the nonlinear SVM.
Their power comes from the combination of the kernel trick and maximum margin hyperplane separation.
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