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.

l2error(r)

Returns the L₂ norm error of the result.

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.