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» Some Lower Bounds on Geometric Separability Problems
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NIPS
2003
14 years 11 months ago
When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts?
We interpret non-negative matrix factorization geometrically, as the problem of finding a simplicial cone which contains a cloud of data points and which is contained in the posi...
David L. Donoho, Victoria Stodden
CORR
2010
Springer
128views Education» more  CORR 2010»
14 years 9 months ago
Sublinear Optimization for Machine Learning
Abstract--We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclos...
Kenneth L. Clarkson, Elad Hazan, David P. Woodruff
TIT
2002
63views more  TIT 2002»
14 years 9 months ago
Compressing quantum mixed-state sources by sending classical information
Abstract--We consider visible compression for discrete memoryless sources of mixed quantum states when only classical information can be sent from Alice to Bob. We assume that Bob ...
Emina Soljanin
ACCV
2006
Springer
15 years 3 months ago
Attractor-Guided Particle Filtering for Lip Contour Tracking
Abstract. We present a lip contour tracking algorithm using attractorguided particle filtering. Usually it is difficult to robustly track the lip contour because the lip contour i...
Yong-Dian Jian, Wen-Yan Chang, Chu-Song Chen
COMPGEOM
2004
ACM
15 years 3 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...