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Model validation: Difference between revisions
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→Badly posed problems
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A so-called 'badly posed problem' is a problem such that many model parameter choices map to the same measurement outcome (within measurement error), i.e., the model is a [[:Wikipedia:Projection_(mathematics)|projection]]. Thus, no analysis of the available measurements can reveal the 'true' value of all model parameters, even if the model is in itself correct. | A so-called 'badly posed problem' is a problem such that many model parameter choices map to the same measurement outcome (within measurement error), i.e., the model is a [[:Wikipedia:Projection_(mathematics)|projection]]. Thus, no analysis of the available measurements can reveal the 'true' value of all model parameters, even if the model is in itself correct. | ||
It may only be possible to determine the value of some parameters (with their corresponding error), while some others are largely or completely undetermined. | It may only be possible to determine the value of some parameters (with their corresponding error), while some others are largely or completely undetermined for lack of information from the measurements. | ||
See | See | ||
* [[Function parametrization]] | * [[Function parametrization]] | ||