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OL
2010
104views more  OL 2010»
13 years 5 months ago
On representations of the feasible set in convex optimization
We consider the convex optimization problem minx{f(x) : gj(x) ≤ 0, j = 1, . . . , m} where f is convex, the feasible set K is convex and Slater’s condition holds, but the funct...
Jean B. Lasserre
ISSAC
2004
Springer
71views Mathematics» more  ISSAC 2004»
14 years 23 days ago
Sharp estimates for triangular sets
We study the triangular representation of zero-dimensional varieties defined over the rational field (resp. a rational function field). We prove polynomial bounds in terms of i...
Xavier Dahan, Éric Schost
ORL
2008
77views more  ORL 2008»
13 years 7 months ago
A risk-averse newsvendor with law invariant coherent measures of risk
For general law invariant coherent measures of risk, we derive an equivalent representation of a risk-averse newsvendor problem as a meanrisk model. We prove that the higher the w...
Sungyong Choi, Andrzej Ruszczynski
IMA
2009
Springer
145views Cryptology» more  IMA 2009»
14 years 1 months ago
On Designs and Multiplier Groups Constructed from Almost Perfect Nonlinear Functions
Let f : F n 2 → F n 2 be an almost perfect nonlinear function (APN). The set Df := {(a, b) : f(x + a) − f(x) = b has two solutions} can be used to distinguish APN functions up ...
Yves Edel, Alexander Pott
BMCBI
2006
119views more  BMCBI 2006»
13 years 7 months ago
A methodology for the structural and functional analysis of signaling and regulatory networks
Background: Structural analysis of cellular interaction networks contributes to a deeper understanding of network-wide interdependencies, causal relationships, and basic functiona...
Steffen Klamt, Julio Saez-Rodriguez, Jonathan A. L...