8000 [MRG + 1] Correct formulas in Doc of Gaussian Process Kernels by rishikksh20 · Pull Request #8571 · scikit-learn/scikit-learn · GitHub
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[MRG + 1] Correct formulas in Doc of Gaussian Process Kernels #8571

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4 changes: 2 additions & 2 deletions doc/modules/gaussian_process.rst
Original file line number Diff line number Diff line change
Expand Up @@ -551,7 +551,7 @@ Only the isotropic variant where :math:`l` is a scalar is supported at the momen
The kernel is given by:

.. math::
k(x_i, x_j) = \left(1 + \frac{d(x_i, x_j)^2}{2\alpha l^2}\right)^\alpha
k(x_i, x_j) = \left(1 + \frac{d(x_i, x_j)^2}{2\alpha l^2}\right)^{-\alpha}

The prior and posterior of a GP resulting from an RBF kernel are shown in
the following figure:
Expand All @@ -569,7 +569,7 @@ It is parameterized by a length-scale parameter :math:`l>0` and a periodicity pa
The kernel is given by:

.. math::
k(x_i, x_j) = \text{exp}\left(-2 \text{sin}(\pi / p * d(x_i, x_j)) / l\right)^2
k(x_i, x_j) = \text{exp}\left(-2 \left(\text{sin}(\pi / p * d(x_i, x_j)) / l\right)^2\right)

The prior and posterior of a GP resulting from an ExpSineSquared kernel are shown in
the following figure:
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