Module Expr Str ImportFrom alias ImportFrom alias Import alias identifier ClassDef bases NameLoad body Expr Str FunctionDef arguments args NameParam NameParam defaults body Expr Str Assign AttributeStore AttributeLoad NameLoad attr attr SubscriptLoad NameLoad Index Num Assign AttributeStore AttributeLoad NameLoad attr attr SubscriptLoad NameLoad Index Num decorator_list FunctionDef arguments args NameParam defaults body Expr Str Assign NameStore Call NameLoad AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore Call NameLoad AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore BinOpDiv Call AttributeLoad NameLoad attr Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num TupleLoad UnaryOpUSub BinOpPow NameLoad Num BinOpMult Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num TupleLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad BinOpMult BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad NameLoad Num TupleLoad Num BinOpDiv BinOpMult Num NameLoad BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr Assign NameStore Call AttributeLoad NameLoad attr ListLoad SubscriptLoad AttributeLoad NameLoad attr Index Num SubscriptLoad AttributeLoad NameLoad attr Index Num Num Assign NameStore Call AttributeLoad NameLoad attr ListLoad SubscriptLoad AttributeLoad NameLoad attr Index Num SubscriptLoad AttributeLoad NameLoad attr Index Num Num Assign NameStore Call AttributeLoad NameLoad attr ListLoad SubscriptLoad AttributeLoad NameLoad attr Index Num SubscriptLoad AttributeLoad NameLoad attr Index Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num TupleLoad BinOpDiv Num BinOpPow NameLoad Num BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr BinOpMult BinOpDiv BinOpMult BinOpMult Num Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num TupleLoad Num BinOpDiv Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num TupleLoad Num BinOpDiv BinOpMult Num NameLoad BinOpPow NameLoad Num Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr Return TupleLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad decorator_list decorator_list ClassDef bases NameLoad body Expr Str FunctionDef arguments args NameParam NameParam defaults body Expr Str Assign AttributeStore AttributeLoad NameLoad attr attr SubscriptLoad NameLoad Index Num Assign AttributeStore AttributeLoad NameLoad attr attr SubscriptLoad NameLoad Index Num decorator_list FunctionDef arguments args NameParam defaults body Expr Str Assign NameStore Call NameLoad AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore Call NameLoad AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore BinOpDiv Call AttributeLoad NameLoad attr Num NameLoad Assign NameStore BinOpDiv BinOpMult BinOpDiv Num Num NameLoad BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num Num TupleLoad Num Num Num TupleLoad UnaryOpUSub BinOpPow NameLoad Num BinOpMult Num BinOpPow NameLoad Num BinOpMult Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num TupleLoad Num TupleLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad BinOpDiv BinOpDiv BinOpMult BinOpMult NameLoad Num Call AttributeLoad NameLoad attr Num Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad NameLoad Num UnaryOpUSub NameLoad TupleLoad Num NameLoad Num TupleLoad UnaryOpUSub NameLoad Num BinOpDiv BinOpMult Num NameLoad BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr Assign NameStore Call AttributeLoad NameLoad attr TupleLoad Num Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad Num Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad Num Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad Num Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num Num TupleLoad Num Num Num TupleLoad BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num BinOpDiv Num BinOpPow NameLoad Num BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad BinOpDiv BinOpDiv BinOpMult Num Call AttributeLoad NameLoad attr Num Num BinOpPow NameLoad Num Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad BinOpDiv BinOpDiv BinOpMult BinOpMult UnaryOpUSub NameLoad Num Call AttributeLoad NameLoad attr Num Num BinOpPow NameLoad Num Assign NameStore BinOpDiv NameLoad NameLoad Assign NameStore BinOpDiv BinOpMult Num NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr TupleLoad TupleLoad Num Num UnaryOpUSub NameLoad TupleLoad Num NameLoad Num TupleLoad UnaryOpUSub NameLoad Num BinOpDiv BinOpMult Num NameLoad BinOpPow NameLoad Num Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign SubscriptStore NameLoad ExtSlice Slice Slice Index Num NameLoad Assign NameStore Call AttributeLoad NameLoad attr Return TupleLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad decorator_list decorator_list
N/A N/A 
Classes in this module enhance Matern covariance functions with the
Stochastic Differential Equation (SDE) functionality.
 stationary Matern32 stationary Matern52 N/A numpy np sde_Matern32 N/A Matern32 N/A N/A 
    
    Class provide extra functionality to transfer this covariance function into
    SDE forrm.
    
    Matern 3/2 kernel:

    .. math::

       k(r) = \sigma^2 (1 + \sqrt{3} r) \exp(- \sqrt{3} r) \ \ \ \  	ext{ where  } r = \sqrt{\sum_{i=1}^{input dim} rac{(x_i-y_i)^2}{\ell_i^2} }

     sde_update_gradient_full N/A N/A self gradients N/A N/A N/A 
        Update gradient in the order in which parameters are represented in the
        kernel
         N/A N/A N/A self variance gradient N/A gradients N/A 0 N/A N/A N/A self lengthscale gradient N/A gradients N/A 1 N/A sde N/A N/A self N/A N/A N/A  
        Return the state space representation of the covariance. 
         N/A variance N/A float N/A N/A self variance values N/A lengthscale N/A float N/A N/A self lengthscale values N/A foo N/A N/A N/A np sqrt 3.0 lengthscale N/A F N/A N/A np array N/A N/A 0 1.0 N/A N/A N/A foo 2 N/A -2 foo N/A L N/A N/A np array N/A N/A 0 N/A 1.0 N/A Qc N/A N/A np array N/A N/A N/A N/A N/A 12.0 N/A N/A np sqrt 3 N/A lengthscale 3 variance N/A H N/A N/A np array N/A N/A 1.0 0 N/A Pinf N/A N/A np array N/A N/A variance 0.0 N/A 0.0 N/A N/A 3.0 variance N/A lengthscale 2 N/A P0 N/A N/A Pinf copy N/A dF N/A N/A np empty N/A N/A N/A F shape N/A 0 N/A N/A F shape N/A 1 2 N/A dQc N/A N/A np empty N/A N/A N/A Qc shape N/A 0 N/A N/A Qc shape N/A 1 2 N/A dPinf N/A N/A np empty N/A N/A N/A Pinf shape N/A 0 N/A N/A Pinf shape N/A 1 2 N/A dFvariance N/A N/A np zeros N/A 2 2 N/A dFlengthscale N/A N/A np array N/A N/A 0 0 N/A N/A 6.0 N/A lengthscale 3 N/A N/A 2 N/A N/A np sqrt 3 N/A lengthscale 2 N/A dQcvariance N/A N/A np array N/A N/A 12.0 N/A N/A np sqrt 3 N/A lengthscale 3 N/A dQclengthscale N/A N/A np array N/A N/A N/A N/A -3 12 N/A N/A np sqrt 3 N/A lengthscale 4 variance N/A dPinfvariance N/A N/A np array N/A N/A 1 0 N/A 0 N/A 3.0 N/A lengthscale 2 N/A dPinflengthscale N/A N/A np array N/A N/A 0 0 N/A 0 N/A N/A -6 variance N/A lengthscale 3 N/A N/A dF N/A N/A N/A N/A 0 dFvariance N/A N/A dF N/A N/A N/A N/A 1 dFlengthscale N/A N/A dQc N/A N/A N/A N/A 0 dQcvariance N/A N/A dQc N/A N/A N/A N/A 1 dQclengthscale N/A N/A dPinf N/A N/A N/A N/A 0 dPinfvariance N/A N/A dPinf N/A N/A N/A N/A 1 dPinflengthscale N/A dP0 N/A N/A dPinf copy N/A N/A F L Qc H Pinf P0 dF dQc dPinf dP0 N/A N/A sde_Matern52 N/A Matern52 N/A N/A 
    
    Class provide extra functionality to transfer this covariance function into
    SDE forrm.
    
    Matern 5/2 kernel:

    .. math::

       k(r) = \sigma^2 (1 + \sqrt{5} r + rac{5}{3}r^2) \exp(- \sqrt{5} r) \ \ \ \  	ext{ where  } r = \sqrt{\sum_{i=1}^{input dim} rac{(x_i-y_i)^2}{\ell_i^2} }

     sde_update_gradient_full N/A N/A self gradients N/A N/A N/A 
        Update gradient in the order in which parameters are represented in the
        kernel
         N/A N/A N/A self variance gradient N/A gradients N/A 0 N/A N/A N/A self lengthscale gradient N/A gradients N/A 1 N/A sde N/A N/A self N/A N/A N/A  
        Return the state space representation of the covariance. 
         N/A variance N/A float N/A N/A self variance values N/A lengthscale N/A float N/A N/A self lengthscale values N/A lamda N/A N/A N/A np sqrt 5.0 lengthscale N/A kappa N/A N/A N/A 5.0 3.0 variance N/A lengthscale 2 N/A F N/A N/A np array N/A N/A 0 1 0 N/A 0 0 1 N/A N/A N/A lamda 3 N/A -3.0 N/A lamda 2 N/A -3 lamda N/A L N/A N/A np array N/A N/A 0 N/A 0 N/A 1 N/A Qc N/A N/A np array N/A N/A N/A N/A N/A N/A variance 400.0 N/A N/A np sqrt 5.0 3.0 N/A lengthscale 5 N/A H N/A N/A np array N/A N/A 1 0 0 N/A Pinf N/A N/A np array N/A N/A variance 0 N/A kappa N/A 0 kappa 0 N/A N/A kappa 0 N/A N/A 25.0 variance N/A lengthscale 4 N/A P0 N/A N/A Pinf copy N/A dF N/A N/A np empty N/A 3 3 2 N/A dQc N/A N/A np empty N/A 1 1 2 N/A dPinf N/A N/A np empty N/A 3 3 2 N/A dFvariance N/A N/A np zeros N/A 3 3 N/A dFlengthscale N/A N/A np array N/A N/A 0 0 0 N/A 0 0 0 N/A N/A N/A 15.0 N/A N/A np sqrt 5.0 N/A lengthscale 4 N/A 30.0 N/A lengthscale 3 N/A N/A 3 N/A N/A np sqrt 5.0 N/A lengthscale 2 N/A dQcvariance N/A N/A np array N/A N/A N/A N/A N/A 400 N/A N/A np sqrt 5 3 N/A lengthscale 5 N/A dQclengthscale N/A N/A np array N/A N/A N/A N/A N/A N/A N/A variance 2000 N/A N/A np sqrt 5 3 N/A lengthscale 6 N/A dPinf_variance N/A Pinf variance N/A kappa2 N/A N/A -2.0 kappa lengthscale N/A dPinf_lengthscale N/A N/A np array N/A N/A 0 0 N/A kappa2 N/A 0 kappa2 0 N/A N/A kappa2 0 N/A N/A -100 variance N/A lengthscale 5 N/A N/A dF N/A N/A N/A N/A 0 dFvariance N/A N/A dF N/A N/A N/A N/A 1 dFlengthscale N/A N/A dQc N/A N/A N/A N/A 0 dQcvariance N/A N/A dQc N/A N/A N/A N/A 1 dQclengthscale N/A N/A dPinf N/A N/A N/A N/A 0 dPinf_variance N/A N/A dPinf N/A N/A N/A N/A 1 dPinf_lengthscale N/A dP0 N/A N/A dPinf copy N/A N/A F L Qc H Pinf P0 dF dQc dPinf dP0 N/A N/A