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SIAMJO
2008
72views more  SIAMJO 2008»
14 years 11 months ago
A Sample Approximation Approach for Optimization with Probabilistic Constraints
We study approximations of optimization problems with probabilistic constraints in which the original distribution of the underlying random vector is replaced with an empirical dis...
James Luedtke, Shabbir Ahmed
ORL
2007
81views more  ORL 2007»
14 years 11 months ago
An improved probability bound for the Approximate S-Lemma
The purpose of this note is to give a probability bound on symmetric matrices to improve an error bound in the Approximate S-Lemma used in establishing levels of conservatism resu...
Kürsad Derinkuyu, Mustafa Ç. Pinar, Ah...
CDC
2008
IEEE
167views Control Systems» more  CDC 2008»
15 years 6 months ago
On the approximate domain optimization of deterministic and expected value criteria
— We define the concept of approximate domain optimizer for deterministic and expected value optimization criteria. Roughly speaking, a candidate optimizer is an approximate dom...
Andrea Lecchini-Visintini, John Lygeros, Jan M. Ma...
TCOM
2008
116views more  TCOM 2008»
14 years 11 months ago
Bounds on the Distribution of a Sum of Correlated Lognormal Random Variables and Their Application
The cumulative distribution function (cdf) of a sum of correlated or even independent lognormal random variables (RVs), which is of wide interest in wireless communications, remain...
Chintha Tellambura
CIARP
2004
Springer
15 years 3 months ago
New Bounds and Approximations for the Error of Linear Classifiers
In this paper, we derive lower and upper bounds for the probability of error for a linear classifier, where the random vectors representing the underlying classes obey the multivar...
Luís G. Rueda