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JCT
2006
79views more  JCT 2006»
15 years 6 months ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...
MOR
2006
93views more  MOR 2006»
15 years 6 months ago
Optimization of Convex Risk Functions
We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we d...
Andrzej Ruszczynski, Alexander Shapiro
IJAR
2002
109views more  IJAR 2002»
15 years 6 months ago
The application of the matrix calculus to belief functions
The mathematics of belief functions can be handled with the use of the matrix notation. This representation helps greatly the user thanks to its notational simplicity and its effi...
Philippe Smets
ICML
2009
IEEE
16 years 7 months ago
Surrogate regret bounds for proper losses
We present tight surrogate regret bounds for the class of proper (i.e., Fisher consistent) losses. The bounds generalise the margin-based bounds due to Bartlett et al. (2006). The...
Mark D. Reid, Robert C. Williamson
CORR
2010
Springer
109views Education» more  CORR 2010»
15 years 1 months ago
Edge Preserving Image Denoising in Reproducing Kernel Hilbert Spaces
The goal of this paper is the development of a novel approach for the problem of Noise Removal, based on the theory of Reproducing Kernels Hilbert Spaces (RKHS). The problem is ca...
Pantelis Bouboulis, Sergios Theodoridis