Radial basis function kernel

In machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular, it is commonly used in support vector machine classification. The RBF kernel on two samples and x', represented as feature vectors in some input space, is defined as may be recognized as the squared Euclidean distance between the two feature vectors. is a free parameter. An equivalent definition involves a parameter : where ,

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enIn machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular, it is commonly used in support vector machine classification. The RBF kernel on two samples and x', represented as feature vectors in some input space, is defined as may be recognized as the squared Euclidean distance between the two feature vectors. is a free parameter. An equivalent definition involves a parameter : where ,
Has abstract
enIn machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular, it is commonly used in support vector machine classification. The RBF kernel on two samples and x', represented as feature vectors in some input space, is defined as may be recognized as the squared Euclidean distance between the two feature vectors. is a free parameter. An equivalent definition involves a parameter : Since the value of the RBF kernel decreases with distance and ranges between zero (in the limit) and one (when x = x'), it has a ready interpretation as a similarity measure.The feature space of the kernel has an infinite number of dimensions; for , its expansion using the multinomial theorem is: where ,
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Radial basis function kernel
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Category:Kernel methods for machine learning
Category:Support vector machines
Eigendecomposition
Euclidean distance
Feature space
Fourier transformation
Gaussian function
Gramian matrix
Kernel (statistics)
Kernel method
Kernel trick
Machine learning
Multinomial theorem
Nyström method
Obst Kernel network
Polynomial kernel
Positive-definite kernel
Radial basis function
Radial basis function network
Similarity measure
Statistical classification
Support vector machine
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Radial basis function kernel
هسته تابع پایه شعاعی
径向基函数核
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Category:Kernel methods for machine learning
Category:Support vector machines
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