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ISIPTA
2003
IEEE
140views Mathematics» more  ISIPTA 2003»
15 years 8 months ago
A Second-Order Uncertainty Model of Independent Random Variables: An Example of the Stress-Strength Reliability
A second-order hierarchical uncertainty model of a system of independent random variables is studied in the paper. It is shown that the complex nonlinear optimization problem for ...
Lev V. Utkin
109
Voted
NIPS
2004
15 years 4 months ago
Comparing Beliefs, Surveys, and Random Walks
Survey propagation is a powerful technique from statistical physics that has been applied to solve the 3-SAT problem both in principle and in practice. We give, using only probabi...
Erik Aurell, Uri Gordon, Scott Kirkpatrick
JCT
2002
56views more  JCT 2002»
15 years 3 months ago
The Width of Random Subsets of Boolean Lattices
Suppose we toss an independent coin with probability of success p for each subset of [n] = {1, . . . , n}, and form the random hypergraph P(n, p) by taking as hyperedges the subse...
Yoshiharu Kohayakawa, Bernd Kreuter
168
Voted
ORL
2011
14 years 6 months ago
Random half-integral polytopes
We show that half-integral polytopes obtained as the convex hull of a random set of half-integral points of the 0/1 cube have rank as high as Ω(log n/ log log n) with positive pr...
Gábor Braun, Sebastian Pokutta
108
Voted
JCT
2007
108views more  JCT 2007»
15 years 3 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze