IEEE Journal on Selected Areas in Communications · 1993 · 37 citations · 16 references
EngineeringComputer ScienceSystems EngineeringDigital CommunicationOptimizationSimulation-based DesignDigital Signal ProcessingGaussian ProcessesSimulation MethodsAdaptive SamplingImportance SamplingNonlinear Systems
Parametric adaptive importance sampling (IS) algorithms that adapt the IS density to the system of interest during the course of the simulation are discussed. This approach removes the burden of selecting the IS density from the system designer. The performance of two such algorithms is investigated for both linear and nonlinear systems operating in Gaussian noise. In addition, the algorithms are shown to converge to the optimum improved importance sampling density for the special case of a linear system with Gaussian noise.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Linear and nonlinear programming.
Mathematics and Computers in Simulation · 1986 · 4.9K citations
Eric R. Ziegel, E. L. Lehmann, George Casella · Technometrics · 1999 · 4.3K citations
Adaptive sampling — an iterative fast Monte Carlo procedure
Christian Bucher · Structural Safety · 1988 · 457 citations