computational noise

Estimating Derivatives of Noisy Simulations

  • Jorge MorĂ©
  • Stefan M. Wild
    • Categories Nonlinear Optimization, Optimization Software and Modeling Systems, Other Topics Tags , ,

    We employ recent work on computational noise to obtain near-optimal finite difference estimates of the derivatives of a noisy function. Our analysis employs a stochastic model of the noise without assuming a specific form of distribution. We use this model to derive theoretical bounds for the errors in the difference estimates and obtain an easily … Read more

    Estimating Computational Noise

  • Jorge MorĂ©
  • Stefan M. Wild
    • Categories Nonlinear Optimization, Optimization Software and Modeling Systems, Other Topics Tags , ,

    Computational noise in deterministic simulations is as ill-defined a concept as can be found in scientific computing. When coupled with adaptive strategies, the effects of finite precision destroy smoothness of the simulation output and complicate subsequent analysis. Following the work of Hamming on roundoff errors, we present a new algorithm, ECnoise, for quantifying the noise … Read more