CalibratedSystemModel

CalibratedSystemModel[…]

represents the symbolic calibrated system model obtained from SystemModelCalibrate.

Details

  • CalibratedSystemModel is generated by the function SystemModelCalibrate and provides ways of summarizing, exploring and extracting calibration results.
  • A CalibratedSystemModel[…] object csm can be used to retrieve properties through csm["property"].
  • csm["Properties"] gives a list of available properties. Additional details about the properties are listed on the page for SystemModelCalibrate.
  • Typical properties include:
  • "CalibratedModel"new model with calibrated parameters
    "CalibratedParameters"parameter estimates
    "ParameterConfidence"parameter confidence information
    "MeanPredictionBandsPlot"mean predictions confidence bands plot with calibration data
    "SinglePredictionBandsPlot"plot of confidence bands based on single observations with calibration data
  • Other specifications include:
  • {p1,…,pn}get the values of properties pi
    "Summary"get the summary of the calibration
    "Dataset"get property names and values as a Dataset
    "PropertyAssociation"get property names and values as an Association

Examples

open allclose all

Basic Examples  (1)

Calibrate a StateSpaceModel, using data generated with an input signal:

Calibrate, specifying the model input, and create a CalibratedSystemModel:

Extract the plot of the single prediction bands:

Retrieve a list of properties:

Scope  (1)

Properties  (1)

Find the list of available properties:

Extract the single prediction bands plot:

Extract the single prediction bands plot with a custom confidence level:

Extract the single prediction bands plot with a custom variance estimator function:

Extract the calibrated model and the calibrated parameters:

Extract the single prediction bands:

Extract the single prediction bands evaluated at time t:

Extract the root mean squared error for each calibration variable:

Extract the root mean squared error for each calibration variable, providing a validation set:

Extract parameter confidence information, including estimates, standard errors, confidence intervals,

    • -statistics for parameter estimates and ‐values for parameter ‐statistics:

    Extract the property dataset:

    Applications  (1)

    Use multiple measurements of two substances' concentrations to calibrate and validate a model of the chemical reaction:

    Select the model, specify the reaction coefficients as calibration parameters and introduce parameter constraints:

    Aggregate the data points of most of the measurements to use as calibration data:

    Calibrate the model, indicating the data for the concentration variables and the simulation interval:

    Extract the plot of the single prediction bands:

    Compute the root mean squared errors, using the remaining data path as validation data:

    Wolfram Research (2023), CalibratedSystemModel, Wolfram Language function, https://reference.wolfram.com/language/ref/CalibratedSystemModel.html.

    Text

    Wolfram Research (2023), CalibratedSystemModel, Wolfram Language function, https://reference.wolfram.com/language/ref/CalibratedSystemModel.html.

    CMS

    Wolfram Language. 2023. "CalibratedSystemModel." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CalibratedSystemModel.html.

    APA

    Wolfram Language. (2023). CalibratedSystemModel. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CalibratedSystemModel.html

    BibTeX

    @misc{reference.wolfram_2024_calibratedsystemmodel, author="Wolfram Research", title="{CalibratedSystemModel}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/CalibratedSystemModel.html}", note=[Accessed: 02-May-2024 ]}

    BibLaTeX

    @online{reference.wolfram_2024_calibratedsystemmodel, organization={Wolfram Research}, title={CalibratedSystemModel}, year={2023}, url={https://reference.wolfram.com/language/ref/CalibratedSystemModel.html}, note=[Accessed: 02-May-2024 ]}