Parameter Space
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The term parameter space as used in data-fitting (see for example "Data Reduction and Error Analysis for the Physical Sciences" by Bevington and Robinson), refers to the hypothetical space where a "location" is defined by the values of all optimizable parameters. For example, if we fit data using a function which has 10 optimizable parameters, each of these parameters is seen as a dimension and the parameter space in this case is 10-dimensional. Every "location" then ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The term parameter space as used in data-fitting (see for example "Data Reduction and Error Analysis for the Physical Sciences" by Bevington and Robinson), refers to the hypothetical space where a "location" is defined by the values of all optimizable parameters. For example, if we fit data using a function which has 10 optimizable parameters, each of these parameters is seen as a dimension and the parameter space in this case is 10-dimensional. Every "location" then corresponds to a ² (chi-squared) value indicating the goodness-of-fit, hence we have a "field" in our 10-dimensional space. Following this "field" downwards leads us to the "location" in parameter space with the lowest ², i.e. the optimum parameter values.
