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A Non-linear Lower Bound for Planar Epsilon-nets

✍ Scribed by Noga Alon

Publisher: Springer
Year: 2011
Tongue: English
Weight: 383 KB
Volume: 47
Category: Article
ISSN: 0179-5376
DOI: 10.1007/s00454-010-9323-7

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## Abstract This paper describes a new formulation, based on linear finite elements and non‐linear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. The resulting optimization problem is typically very large and highly sparse and is solved using a fast quasi‐Newton method w