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In many computing applications, there are several equivalent algorithms capable of performing a particular task, and no one is the most efficient under all statistical distributions of the data. In such contexts, a good heuristic is to take a sample of the database and use it to guess which procedure is likely to be the most efficient. This paper defines the very general notion of a differentiable query problem and shows that the ideal sample size for guessing the optimal choice of algorithm is O(N2/3) for all differential problems involving approximately N executing steps.

Optimal sample cost residues for differential database batch query problems