Many analyses and parameter estimations undertaken in astronomy require a large set (>105) of non-analytical,theoretical spectra, each of these defined by multiple parameters. We describe the construction of an N-dimensionalgrid which is suitable for generating such spectra. The theoretical spectra are designed to correspond to a targetedparameter grid but otherwise to random positions in the parameter space, and they are interpolated on the fly througha pre-calculated grid of spectra. The initial grid is designed to be relatively low in parameter resolution and small inoccupied hard disk space and therefore can be updated efficiently when a new model is desired. In a pilot study of stel-lar population synthesis of galaxies, the mean square errors on the estimated parameters are found to decrease withthe targeted grid resolution. This scheme of generating a large model grid is general for other areas of studies, par-ticularly if they are based on multi-dimensional parameter space and are focused on contrasting model differences.
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