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FOCS
2010
IEEE
13 years 6 months ago
A Non-linear Lower Bound for Planar Epsilon-Nets
We show that the minimum possible size of an -net for point objects and line (or rectangle)ranges in the plane is (slightly) bigger than linear in 1/ . This settles a problem rais...
Noga Alon
IJCGA
2006
85views more  IJCGA 2006»
13 years 8 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
NIPS
2004
13 years 10 months ago
Variational Minimax Estimation of Discrete Distributions under KL Loss
We develop a family of upper and lower bounds on the worst-case expected KL loss for estimating a discrete distribution on a finite number m of points, given N i.i.d. samples. Our...
Liam Paninski
RECOMB
2005
Springer
14 years 9 months ago
Lower Bounds for Maximum Parsimony with Gene Order Data
Abstract. In this paper, we study lower bound techniques for branchand-bound algorithms for maximum parsimony, with a focus on gene order data. We give a simple O(n3 ) time dynamic...
Abraham Bachrach, Kevin Chen, Chris Harrelson, Rad...
PODC
2006
ACM
14 years 2 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer