Bases: gp.kernels.base.Kernel
Periodic kernel function.
Parameters : | h : float
w : float
p : float
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Notes
The periodic kernel is defined by Equation 4.31 of [RW06]:
where \(w\) is the input scale parameter (equivalent to the standard deviation of the Gaussian), \(h\) is the output scale parameter, and \(p\) is the period kernel parameter.
Kernel function evaluated at x1 and x2.
Parameters : | x1 : numpy.ndarray with dtype='f8'
x2 : numpy.ndarray with dtype='f8'
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Returns : | K : numpy.ndarray
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Create a copy of the kernel.
Returns : | kernel : Kernel
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Output scale kernel parameter
Hessian of the kernel function evaluated at x1 and x2.
Parameters : | x1 : numpy.ndarray with dtype='f8'
x2 : numpy.ndarray with dtype='f8'
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Returns : | H : numpy.ndarray
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Jacobian of the kernel function evaluated at x1 and x2.
Parameters : | x1 : numpy.ndarray with dtype='f8'
x2 : numpy.ndarray with dtype='f8'
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Returns : | J : numpy.ndarray
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Period kernel parameter
Symbolic kernel function.
Returns : | K : sympy.Expr
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Input scale kernel parameter