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» The Cardinality Matrix Constraint
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CORR
2011
Springer
157views Education» more  CORR 2011»
14 years 1 months ago
Large-Scale Convex Minimization with a Low-Rank Constraint
We address the problem of minimizing a convex function over the space of large matrices with low rank. While this optimization problem is hard in general, we propose an efficient...
Shai Shalev-Shwartz, Alon Gonen, Ohad Shamir
78
Voted
COMPULOG
1999
Springer
15 years 1 months ago
Decomposable Constraints
Many constraint satisfaction problems can be naturally and efficiently modelled using non-binary constraints like the “all-different” and “global cardinality” constraints...
Ian P. Gent, Kostas Stergiou, Toby Walsh
VL
2000
IEEE
115views Visual Languages» more  VL 2000»
15 years 2 months ago
SD2: A Sound and Complete Diagrammatic Reasoning System
SD2 is a system of Venn-type diagrams that can be used to reason diagrammatically about sets, their cardinalities and their relationships. They augment the systems of Venn-Peirce ...
John Howse, Fernando Molina, John Taylor
MP
2011
14 years 4 months ago
Null space conditions and thresholds for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in machine learning, control theory, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
74
Voted
IPL
2006
89views more  IPL 2006»
14 years 9 months ago
Optimal 2-constraint satisfaction via sum-product algorithms
We show that for a given set of m pairwise constraints over n variables, a variable assignment that satisfies maximally many m constraints (MAX-2-CSP) can be found in O(nm dn/3) t...
Mikko Koivisto