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SVM tries to find the decision boundary that gives the smallest generalization error by maximizing the margin.
C is a regularization parameter that controls the trade-off between maximizing the margin and minimizing the training error.
The optimal hyperplane for classification is obtained from the training set based on the criteria of maximizing the margin and minimizing the empirical risk.
Secondly, the error bound is minimized by maximizing the margin, that is, the minimal distance between the hyperplane and the closest data points.
Although there are infinite number of solutions to separate hyperplanes, by maximizing the margin, Figure 1 shows only two decision functions satisfying (4). Figure 1 Maximum margin of optimal hyperplane.
In a two-class learning task, SVM finds the best hyperplane to distinguish between the two classes by maximizing the margin between the two classes from the training data.
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Maximizing the margins is known to increase the method's generalization capabilities.
It initially uses two quality models (the quality model of translational constraint and the quality model of rotational constraint) to combinatorically represent the quality of caging and finds the optimized finger positions (finger positions that have large robustness to perception noises) by maximizing the margins to caging breaking.
SVM sets the separation plane to maximize the margin.
The hyperplane maximizes the margin between these support vectors.
Therefore, the SVM has to simultaneously maximize the margin and minimize the error.
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