Automatic Differentiation
 
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◆ gp_exponential_cov() [5/6]

template<typename T_x1 , typename T_x2 , typename T_s , typename T_l >
Eigen::Matrix< return_type_t< T_x1, T_x2, T_s, T_l >, Eigen::Dynamic, Eigen::Dynamic > stan::math::gp_exponential_cov ( const std::vector< T_x1 > &  x1,
const std::vector< T_x2 > &  x2,
const T_s &  sigma,
const T_l &  length_scale 
)
inline

Returns a Matern exponential cross covariance matrix.

\[ k(x, x') = \sigma^2 exp(-\frac{d(x, x')}{l}) \]

where d(x, x') is the Euclidean distance This function is for the cross covariance matrix needed to compute the posterior predictive distribution

Template Parameters
T_x1first type of scalars contained in vector x1
T_x2second type of scalars contained in vector x2
T_stype of parameter sigma, marginal standard deviation
T_ltype of parameter length scale
Parameters
x1std::vector of scalars that can be used in squared_distance
x2std::vector of scalars that can be used in squared_distance
length_scalelength scale
sigmastandard deviation that can be used in stan::math::square
Exceptions
std::domainerror if sigma <= 0, l <= 0, or x1, x2 are nan or inf

Definition at line 171 of file gp_exponential_cov.hpp.