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» The Complexity of Separating Points in the Plane
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APPML
2007
58views more  APPML 2007»
14 years 11 months ago
A class of exactly solvable free-boundary inhomogeneous porous medium flows
We describe a class of inhomogeneous two-dimensional porous medium flows, driven by a finite number of multipole sources; the free boundary dynamics can be parametrized by polyn...
Sam D. Howison, Igor Loutsenko, John R. Ockendon
DCG
2007
78views more  DCG 2007»
14 years 11 months ago
Convexity in Topological Affine Planes
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...
Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
15 years 6 months ago
Practical Discrete Unit Disk Cover Using an Exact Line-Separable Algorithm
Given m unit disks and n points in the plane, the discrete unit disk cover problem is to select a minimum subset of the disks to cover the points. This problem is NP-hard [11] and ...
Francisco Claude, Reza Dorrigiv, Stephane Durocher...
JMLR
2010
119views more  JMLR 2010»
14 years 6 months ago
The Coding Divergence for Measuring the Complexity of Separating Two Sets
In this paper we integrate two essential processes, discretization of continuous data and learning of a model that explains them, towards fully computational machine learning from...
Mahito Sugiyama, Akihiro Yamamoto
COMPGEOM
2010
ACM
15 years 4 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir