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small fixes in the kernel documentation
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4 changed files with 4 additions and 4 deletions
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@ -14,7 +14,7 @@ class Matern32(kernpart):
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.. math::
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k(r) = \sigma^2 (1 + \sqrt{3} r) \exp(- \sqrt{3} r) \\qquad \\qquad \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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k(r) = \sigma^2 (1 + \sqrt{3} r) \exp(- \sqrt{3} r) \ \ \ \ \ \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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:param D: the number of input dimensions
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:type D: int
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@ -13,7 +13,7 @@ class Matern52(kernpart):
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.. math::
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k(r) = \sigma^2 (1 + \sqrt{5} r + \\frac53 r^2) \exp(- \sqrt{5} r) \\qquad \\qquad \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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k(r) = \sigma^2 (1 + \sqrt{5} r + \\frac53 r^2) \exp(- \sqrt{5} r) \ \ \ \ \ \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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:param D: the number of input dimensions
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:type D: int
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@ -13,7 +13,7 @@ class exponential(kernpart):
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.. math::
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k(r) = \sigma^2 \exp(- r) \\qquad \\qquad \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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k(r) = \sigma^2 \exp(- r) \ \ \ \ \ \\text{ where } r = \sqrt{\sum_{i=1}^D \\frac{(x_i-y_i)^2}{\ell_i^2} }
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:param D: the number of input dimensions
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:type D: int
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@ -12,7 +12,7 @@ class rbf(kernpart):
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.. math::
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k(r) = \sigma^2 \exp(- \frac{1}{2}r^2) \\qquad \\qquad \\text{ where } r^2 = \sum_{i=1}^d \frac{ (x_i-x^\prime_i)^2}{\ell_i^2}}
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k(r) = \sigma^2 \exp(- \frac{1}{2}r^2) \ \ \ \ \ \\text{ where } r^2 = \sum_{i=1}^d \frac{ (x_i-x^\prime_i)^2}{\ell_i^2}}
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where \ell_i is the lengthscale, \sigma^2 the variance and d the dimensionality of the input.
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