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» The Geometry of Coin-Weighing Problems
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CCCG
2009
13 years 5 months ago
Streaming 1-Center with Outliers in High Dimensions
We study the 1-center problem with outliers in highdimensional data streams. The problem definition is as follows: given a sequence of n points in d dimensions (with d arbitrarily...
Hamid Zarrabi-Zadeh, Asish Mukhopadhyay
GECCO
2009
Springer
14 years 5 days ago
The sensitivity of HyperNEAT to different geometric representations of a problem
HyperNEAT, a generative encoding for evolving artificial neural networks (ANNs), has the unique and powerful ability to exploit the geometry of a problem (e.g., symmetries) by enc...
Jeff Clune, Charles Ofria, Robert T. Pennock
COMPGEOM
2004
ACM
14 years 1 months ago
Solution of Scott's problem on the number of directions determined by a point set in 3-space
Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 different dir...
János Pach, Rom Pinchasi, Micha Sharir
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 7 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
CORR
2007
Springer
139views Education» more  CORR 2007»
13 years 7 months ago
Algorithmic Semi-algebraic Geometry and Topology -- Recent Progress and Open Problems
Abstract. We give a survey of algorithms for computing topological invariants of semi-algebraic sets with special emphasis on the more recent developments in designing algorithms f...
Saugata Basu