Randomized interpolation and approximation of sparse polynomials

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Abstract

We present a randomized algorithm that interpolates a sparse polynomial in polynomial time in the bit complexity model. The algorithm can be also applied to approximate polynomials that can be approximated by sparse polynomials (the approximation is in the L2 norm).

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Mansour, Y. (1992). Randomized interpolation and approximation of sparse polynomials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 623 LNCS, pp. 261–272). Springer Verlag. https://doi.org/10.1007/3-540-55719-9_79

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