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» The number of convex permutominoes
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JMLR
2006
150views more  JMLR 2006»
15 years 6 months ago
Exact 1-Norm Support Vector Machines Via Unconstrained Convex Differentiable Minimization
Support vector machines utilizing the 1-norm, typically set up as linear programs (Mangasarian, 2000; Bradley and Mangasarian, 1998), are formulated here as a completely unconstra...
Olvi L. Mangasarian
DCG
2008
90views more  DCG 2008»
15 years 6 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
CIMAGING
2010
195views Hardware» more  CIMAGING 2010»
15 years 7 months ago
SPIRAL out of convexity: sparsity-regularized algorithms for photon-limited imaging
The observations in many applications consist of counts of discrete events, such as photons hitting a detector, which cannot be effectively modeled using an additive bounded or Ga...
Zachary T. Harmany, Roummel F. Marcia, Rebecca Wil...
CORR
2008
Springer
151views Education» more  CORR 2008»
15 years 6 months ago
Exact Matrix Completion via Convex Optimization
We consider a problem of considerable practical interest: the recovery of a data matrix from a sampling of its entries. Suppose that we observe m entries selected uniformly at ran...
Emmanuel J. Candès, Benjamin Recht
SIAMJO
2008
212views more  SIAMJO 2008»
15 years 6 months ago
Convergence Rate of an Optimization Algorithm for Minimizing Quadratic Functions with Separable Convex Constraints
A new active set algorithm for minimizing quadratic functions with separable convex constraints is proposed by combining the conjugate gradient method with the projected gradient. ...
Radek Kucera