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» Finding saddle points using stability boundaries
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COLT
2008
Springer
14 years 20 days ago
Relating Clustering Stability to Properties of Cluster Boundaries
In this paper, we investigate stability-based methods for cluster model selection, in particular to select the number K of clusters. The scenario under consideration is that clust...
Shai Ben-David, Ulrike von Luxburg
FOCM
2010
160views more  FOCM 2010»
13 years 9 months ago
Boundary Measures for Geometric Inference
We study the boundary measures of compact subsets of the d-dimensional Euclidean space, which are closely related to Federer’s curvature measures. We show that they can be comput...
Frédéric Chazal, David Cohen-Steiner...
CG
2005
Springer
13 years 10 months ago
Two-dimensional invariant manifolds in four-dimensional dynamical systems
This paper explores the visualization of two-dimensional stable and unstable manifolds of the origin (a saddle point) in a four-dimensional Hamiltonian system arising from control...
Hinke M. Osinga
SIAMSC
2010
118views more  SIAMSC 2010»
13 years 5 months ago
Optimal Explicit Strong-Stability-Preserving General Linear Methods
This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods ge...
Emil M. Constantinescu, Adrian Sandu
CVPR
2004
IEEE
15 years 26 days ago
Reconstructing Open Surfaces from Unorganized Data Points
In this paper a method for fitting open surfaces to an unorganized set of data points is presented using a level set representation of the surface. This is done by tracking a curv...
Jan Erik Solem, Anders Heyden