Correct formulas in Doc of Gaussian Process Kernels (#8571)

rishikksh20 · MechCoder · commit 7d1afd71e7c7 · 2017-03-12T21:57:17.000-04:00
Correct the Rational quadratic kernel and ExpSineSquare kernel formulas. Issue: #8553
diff --git a/doc/modules/gaussian_process.rst b/doc/modules/gaussian_process.rst
@@ -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:
@@ -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:
