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OL
2010
104views more  OL 2010»
14 years 7 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»
15 years 2 months 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»
14 years 9 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»
15 years 4 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»
14 years 9 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...