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• W1867103688 abstract "We derive efficient algorithms for coarse approximation of algebraic hypersurfaces, useful for estimating the distance between an input polynomial zero set and a given query point. Our methods work best on sparse polynomials of high degree (in any number of variables) but are nevertheless completely general. The underlying ideas, which we take the time to describe in an elementary way, come from tropical geometry. We thus reduce a hard algebraic problem to high-precision linear optimization, proving new upper and lower complexity estimates along the way." @default.
• W1867103688 created "2016-06-24" @default.
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• W1867103688 date "2013-12-23" @default.
• W1867103688 modified "2023-09-27" @default.
• W1867103688 title "Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving" @default.
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• W1867103688 hasPublicationYear "2013" @default.
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