The characteristics of kernel function and kernel matrix are not only useful in judging whether the kernel is valid, but the main purpose is to prove some rules, so as to combine simple kernel functions to obtain more complex and useful kernel functions. In other words, performing such operations on one or several cores maintains the semi-definite nature of the "core". It is said that the kernel function is closed under these operations. These properties include the calculation of the kernel function, as well as the direct calculation of the kernel matrix. Even if the feature space is changed after calculation, as long as the result of the calculation is always a positive semi-definite matrix, the data can be embedded in the feature space.
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