De Loera, Jesús A.La Haye, R. N.Oliveros, D.Roldán-Pensado, E.2016-07-262016-07-262015-04https://hdl.handle.net/11299/1814981 online resource (PDF, 24 pages, includes illustrations)enHelly-type theoremsConvexity spacesLatticesAdditive groupsColorful theoremsOptimization with restricted variable valuesRandomized sampling algorithmsHelly numbers of subsets of ℝᵈ and sampling techniques in optimizationPreprint