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WCE
2007
14 years 11 months ago
Local Approximation of Pareto Surface
—In the design process of complex systems, the designer is solving an optimization problem, which involves different disciplines and where all design criteria have to be optimize...
S. V. Utyuzhnikov, Jeremy Maginot, Marin D. Guenov
AI
2005
Springer
14 years 9 months ago
First order LUB approximations: characterization and algorithms
One of the major approaches to approximation of logical theories is the upper and lower bounds approach introduced in (Selman and Kautz, 1991, 1996). In this paper, we address the...
Alvaro del Val
FOCS
2007
IEEE
15 years 4 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
DAGSTUHL
2007
14 years 11 months ago
Approximating Solution Structure
Approximations can aim at having close to optimal value or, alternatively, they can aim at structurally resembling an optimal solution. Whereas value-approximation has been extensi...
Iris van Rooij, Matthew Hamilton, Moritz Müll...
SIAMJO
2008
93views more  SIAMJO 2008»
14 years 9 months ago
Smooth Optimization with Approximate Gradient
We show that the optimal complexity of Nesterov's smooth first-order optimization algorithm is preserved when the gradient is only computed up to a small, uniformly bounded er...
Alexandre d'Aspremont