The Euclidean Distance Degree of Fermat Hypersurfaces
Algebraic Geometry
2015-10-22 v2 Optimization and Control
Abstract
Finding the point in an algebraic variety that is closest to a given point is an optimization problem with many applications. We study the case when the variety is a Fermat hypersurface. Our formula for its Euclidean distance degree is a piecewise polynomial whose pieces are defined by subtle congruence conditons.
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Cite
@article{arxiv.1409.0684,
title = {The Euclidean Distance Degree of Fermat Hypersurfaces},
author = {Hwangrae Lee},
journal= {arXiv preprint arXiv:1409.0684},
year = {2015}
}
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9 pages