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» Piercing Convex Sets
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SODA
2010
ACM
176views Algorithms» more  SODA 2010»
14 years 5 months ago
Self-improving Algorithms for Convex Hulls
We describe an algorithm for computing planar convex hulls in the self-improving model: given a sequence I1, I2, . . . of planar n-point sets, the upper convex hull conv(I) of eac...
Kenneth L. Clarkson, Wolfgang Mulzer, C. Seshadhri
SAGT
2009
Springer
177views Game Theory» more  SAGT 2009»
14 years 2 months ago
Characterizing Incentive Compatibility for Convex Valuations
We study implementability in dominant strategies of social choice functions when sets of types are multi-dimensional and convex, sets of outcomes are arbitrary, valuations for outc...
André Berger, Rudolf Müller, Seyed Hos...
CVPR
2008
IEEE
14 years 9 months ago
Shape priors in variational image segmentation: Convexity, Lipschitz continuity and globally optimal solutions
In this work, we introduce a novel implicit representation of shape which is based on assigning to each pixel a probability that this pixel is inside the shape. This probabilistic...
Daniel Cremers, Frank R. Schmidt, Frank Barthel
ICML
2000
IEEE
14 years 8 months ago
Duality and Geometry in SVM Classifiers
We develop an intuitive geometric interpretation of the standard support vector machine (SVM) for classification of both linearly separable and inseparable data and provide a rigo...
Kristin P. Bennett, Erin J. Bredensteiner
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
14 years 2 months ago
Resolving Loads with Positive Interior Stresses
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Günter Rote, André Schulz