Solutions

struct DataDrivenSolution{L, A, O} <: DataDrivenDiffEq.AbstractDataDrivenSolution

The solution to a DataDrivenProblem derived via a certain algorithm. The solution is represented via an AbstractBasis, which makes it callable.

Fields

• basis

  The basis representation of the solution

• parameters

  Parameters of the solution

• retcode

  Returncode

• alg

  Algorithm

• out

  Original output of the solution algorithm

• prob

  Problem

• l2_error

  L₂ norm error

• aic

  AIC

• rsquared

  Coefficient of determinantion

Note

The L₂ norm error, AIC and coefficient of determinantion get only computed, if eval_expression is set to true or if the solution can be interpreted as a linear regression result.

result(r)

Returns the Basis of the result.

get_problem(r)

Returns the original DataDrivenProblem.

metrics(r)

Returns all applicable metrics of the solution.

parameters(r)

Returns the estimated parameters in form of an Vector.

parameter_map(r)

Generate a mapping of the parameter values and symbolic representation useable to solve and ODESystem.

aic(r)

Returns the AIC of the result.

determination(r)

Returns the coefficient of determinantion of the result, if the result has been derived via a linear regression, e.g. sparse regression or koopman.

algorithm(r)

Returns the algorithm used to derive the solution.

output(r)

Returns the original output of the algorithm.