核函数与核矩阵的特点不仅仅在判断核是否有效时有用,主要的用途是可以用来证明一些规则,从而将简单核函数进行组合来获得更复杂更有用的核函数。换句的英语翻译

核函数与核矩阵的特点不仅仅在判断核是否有效时有用,主要的用途是可以用来

核函数与核矩阵的特点不仅仅在判断核是否有效时有用,主要的用途是可以用来证明一些规则,从而将简单核函数进行组合来获得更复杂更有用的核函数。换句话说,在一个或几个核上进行这样的运算保持了“核”的半正定性质。称核函数在这些运算下是封闭的。这些性质包括对核函数的运算,也包括直接对核矩阵进行运算。即使特征空间经过运算而发生了改变,只要能保证运算的结果总是半正定矩阵,就能将数据嵌入到特征空间。
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结果 (英语) 1: [复制]
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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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结果 (英语) 2:[复制]
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The characteristics of nuclear functions and nuclear matrices are not only useful in judging whether a nucleus is effective, but are mainly used to prove rules that combine simple nuclear functions to obtain more complex and useful nuclear functions. In other words, performing such operations on one or more cores maintains the semi-positive nature of the "core". It is said that the nuclear function is closed under these operations. These properties include the operation of the nuclear function, as well as the direct operation of the nuclear matrix. Even if the feature space changes by operation, the data can be embedded in the feature space as long as the result of the operation is always a semi-positive matrix.
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结果 (英语) 3:[复制]
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The characteristics of kernel function and kernel matrix are not only useful in judging whether the kernel is valid or not, but also can be used to prove some rules, so as to combine simple kernel functions to obtain more complex and useful kernel functions. In other words, such an operation on one or more kernels preserves the positive semidefinite property of the kernel. The kernel function is said to be closed under these operations. These properties include the operation of kernel function and the direct operation of kernel matrix. Even if the feature space is changed after operation, the data can be embedded into the feature space as long as the result of operation is always positive semidefinite matrix.<br>
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