Abstract

We describe the design and implementation of GAUSS — an online algorithm selection system for numerical quadrature. Given a quadrature problem and performance constraints on its solution, GAUSS selects the best (or nearly best) algorithm. GAUSS uses inductive logic programming to generalize a database of performance data; this produces high-level rules that correlate problem features with algorithm performance. Such rules then serve as the basis for recommending algorithms for new problem instances. GAUSS functions online (new data and information can be incrementally incorporated) and can also provide phenomenological explanations of algorithm recommendations.

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