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» Piercing Convex Sets
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TIP
2002
97views more  TIP 2002»
13 years 7 months ago
Affine invariants of convex polygons
In this correspondence, we prove that the affine invariants proposed recently by Yang and Cohen [1] are algebraically dependent. We show how to select an independent and complete s...
Jan Flusser
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 11 months ago
Convex Hull of Imprecise Points in o(n \log{n}) Time after Preprocessing
Motivated by the desire to cope with data imprecision [8], we study methods for preprocessing a set of planar regions such that whenever we are given a set of points, each of whic...
Esther Ezra, Wolfgang Mulzer
AUTOMATICA
2007
129views more  AUTOMATICA 2007»
13 years 7 months ago
Robust control of polytopic systems by convex optimization
— Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polyto...
Alireza Karimi, Hamid Khatibi, Roland Longchamp
CORR
2008
Springer
130views Education» more  CORR 2008»
13 years 7 months ago
Convex Hull of Arithmetic Automata
Abstract. Arithmetic automata recognize infinite words of digits denoting decompositions of real and integer vectors. These automata are known expressive and efficient enough to re...
Jérôme Leroux
FOCS
2010
IEEE
13 years 5 months ago
Learning Convex Concepts from Gaussian Distributions with PCA
We present a new algorithm for learning a convex set in n-dimensional space given labeled examples drawn from any Gaussian distribution. The complexity of the algorithm is bounded ...
Santosh Vempala