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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 4 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
ISAAC
2009
Springer
98views Algorithms» more  ISAAC 2009»
14 years 4 months ago
New Bounds on the Average Distance from the Fermat-Weber Center of a Planar Convex Body
The Fermat-Weber center of a planar body Q is a point in the plane from which the average distance to the points in Q is minimal. We first show that for any convex body Q in the ...
Adrian Dumitrescu, Csaba D. Tóth
SARA
2007
Springer
14 years 4 months ago
Computing and Using Lower and Upper Bounds for Action Elimination in MDP Planning
Abstract. We describe a way to improve the performance of MDP planners by modifying them to use lower and upper bounds to eliminate non-optimal actions during their search. First, ...
Ugur Kuter, Jiaqiao Hu
STACS
2007
Springer
14 years 4 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
SAT
2004
Springer
97views Hardware» more  SAT 2004»
14 years 3 months ago
Using Lower-Bound Estimates in SAT-Based Pseudo-Boolean Optimization
Linear Pseudo-Boolean constraints offer a much more compact formalism to express significant boolean problems in several areas, ranging from Artificial Intelligence to Electroni...
Vasco M. Manquinho, João P. Marques Silva