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» Some Lower Bounds on Geometric Separability Problems
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WADS
2005
Springer
111views Algorithms» more  WADS 2005»
15 years 3 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
ICASSP
2009
IEEE
15 years 4 months ago
An information geometric approach to supervised dimensionality reduction
Due to the curse of dimensionality, high-dimensional data is often pre-processed with some form of dimensionality reduction for the classification task. Many common methods of su...
Kevin M. Carter, Raviv Raich, Alfred O. Hero
CJTCS
1999
133views more  CJTCS 1999»
14 years 9 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
COMGEO
2011
ACM
14 years 4 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 2 days ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx