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cs.CG2018
Generalized comparison trees for point-location problems
Daniel M Kane, Shachar Lovett, Shay Moran
Let be an arbitrary family of hyper-planes in -dimensions. We show that the point-location problem for can be solved by a linear decision tree that only uses a special t…
cs.CG2017
Near-optimal linear decision trees for k-SUM and related problems
Daniel M. Kane, Shachar Lovett, Shay Moran
We construct near optimal linear decision trees for a variety of decision problems in combinatorics and discrete geometry. For example, for any constant , we construct linear de…