Lorenzo Fagiano

  1. Simulation of stochastic systems via polynomial chaos expansions and convex optimization.

    Authors: Lorenzo Fagiano, Mustafa Khammash
    Subjects: Computation
    Abstract

    Polynomial Chaos Expansions represent a powerful tool to simulate stochastic
    models of dynamical systems. Yet, deriving the expansion's coefficients for
    complex systems might require a significant and non-trivial manipulation of the
    model, or the computation of large numbers of simulation runs, rendering the
    approach too time consuming and impracticable for applications with more than a
    handful of random variables. We introduce a novel computationally tractable
    technique for computing the coefficients of polynomial chaos expansions.

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