Iterated similarity sequences and factorial level similarities in databases

Paul G. Mezey · Journal of Computational Methods in Sciences and Engineering · 2016

Using only numerical differences of descriptors of entries in databases and the subsequent generation of iterated difference sequences, a simple similarity characterization and efficient approximate similarity measures can be obtained for the database entries, and for some families of functional re lations among databank entries, information on the dominant power dependence of such functions interrelating the database entries can be obtained, without the involvement of any fitting algorithm. After the dominant power dependence has been determined by this simple approach, and if more precise functional relations are needed, this knowledge allows one to choose better trial functions fulfilling this constraint, instead of a ``trial and error'' approach more commonly used for the determination of unknown functions describing the relations among the database entries with respect to the given property.

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