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- W2142149785 abstract "We consider the problem of sparse interpolation of a multivariate black-box polynomial in ∞oating-point arithmetic. That is, both the inputs and outputs of the black-box polynomial have some error, and all values are represented in standard, flxed-precision, ∞oating-point arithmetic. By inter- polating the black box evaluated at random primitive roots of unity, we give an e-cient and numerically robust solution with high probability. We outline the numerical stability of our algorithm, as well as the expected conditioning achieved through randomization. Finally, we demonstrate the efiectiveness of our techniques through numerical experiments." @default.
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- W2142149785 date "2006-01-01" @default.
- W2142149785 modified "2023-09-24" @default.
- W2142149785 title "PROBABILISTICALLY STABLE NUMERICAL SPARSE POLYNOMIAL INTERPOLATION" @default.
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