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» The convex hull of ellipsoids
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CCCG
2008
13 years 11 months ago
Convex Hull of the Union of Convex Objects in the Plane: an Adaptive Analysis
We prove a tight asymptotic bound of ( log(n/)) on the worst case computational complexity of the convex hull of the union of two convex objects of sizes summing to n requiring o...
Jérémy Barbay, Eric Y. Chen
COMPUTING
2004
172views more  COMPUTING 2004»
13 years 9 months ago
The Convex Hull of Freeform Surfaces
We present an algorithm for computing the convex hull of freeform rational surfaces. The convex hull problem is reformulated as one of finding the zero-sets of polynomial equation...
Joon-Kyung Seong, Gershon Elber, John K. Johnstone...
ICML
2009
IEEE
14 years 4 months ago
Online learning by ellipsoid method
In this work, we extend the ellipsoid method, which was originally designed for convex optimization, for online learning. The key idea is to approximate by an ellipsoid the classi...
Liu Yang, Rong Jin, Jieping Ye

Publication
197views
12 years 5 months ago
Convex non-negative matrix factorization for massive datasets
Non-negative matrix factorization (NMF) has become a standard tool in data mining, information retrieval, and signal processing. It is used to factorize a non-negative data matrix ...
C. Thurau, K. Kersting, M. Wahabzada, and C. Bauck...
JCO
2008
153views more  JCO 2008»
13 years 9 months ago
A quadratic lower bound for colourful simplicial depth
We show that any point in the convex hull of each of (d + 1) sets of (d + 1) points in Rd is contained in at least (d + 2)2 /4 simplices with one vertex from each set.
Tamon Stephen, Hugh Thomas