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COMPGEOM
2004
ACM
14 years 1 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
SIGACT
2008
103views more  SIGACT 2008»
13 years 7 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
ICASSP
2010
IEEE
13 years 7 months ago
Alpha-integration of multiple evidence
In pattern recognition, data integration is a processing method to combine multiple sources so that the combined result can be more accurate than a single source. Evidence theory ...
Heeyoul Choi, Anup Katake, Seungjin Choi, Yoonsuck...
CDC
2008
IEEE
184views Control Systems» more  CDC 2008»
14 years 2 months ago
Almost sure convergence to consensus in Markovian random graphs
— In this paper we discuss the consensus problem for a network of dynamic agents with undirected information flow and random switching topologies. The switching is determined by...
Ion Matei, Nuno C. Martins, John S. Baras
CSR
2007
Springer
13 years 11 months ago
On Empirical Meaning of Randomness with Respect to a Real Parameter
We study the empirical meaning of randomness with respect to a family of probability distributions P, where is a real parameter, using algorithmic randomness theory. In the case w...
Vladimir V. V'yugin