Radial basis function

A radial basis function (RBF) is a real-valued function whose value depends only on the distance from the origin, so that $\phi(\mathbf{x}) = \phi(\|\mathbf{x}\|)$ ; or alternatively on the distance from some other point c, called a center, so that $\phi(\mathbf{x}, \mathbf{c}) = \phi(\|\mathbf{x\mathbf{c}\|)$ . Any function $\phi$ that satisfies the property $\phi(\mathbf{x}) = \phi(\|\mathbf{x}\|)$ is a radial function. The norm is usually Euclidean distance, although other distance functions are also possible.

单词	Radial basis function
释义	Radial basis function 英语例句库 The radial basis function neural network (RBFNN) can be employed as an approximator to compensate the system uncertainties after effective learning. 与类神经网路学习成效息息相关者有二：类神经网路架构与学习法则。英语百科 Radial basis function A radial basis function (RBF) is a real-valued function whose value depends only on the distance from the origin, so that $\phi(\mathbf{x}) = \phi(\\|\mathbf{x}\\|)$ ; or alternatively on the distance from some other point c, called a center, so that $\phi(\mathbf{x}, \mathbf{c}) = \phi(\\|\mathbf{x\mathbf{c}\\|)$ . Any function $\phi$ that satisfies the property $\phi(\mathbf{x}) = \phi(\\|\mathbf{x}\\|)$ is a radial function. The norm is usually Euclidean distance, although other distance functions are also possible.
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