Computer Vision with Error Estimation for Reduced Order Modeling of Macroscopic Mechanical Tests

Error Estimation for Reduced-Order Models of Dynamical Systems

The use of reduced order models to describe a dynamical system is pervasive in science and engineering. Often these models are used without an estimate of their error or range of validity. In this paper we consider dynamical systems and reduced models built using proper orthogonal decomposition. We show how to compute estimates and bounds for these errors, by a combination of small sample stati...

Error Estimation for Reduced - Order Models of Dynamical Systems ∗ Chris

The use of reduced-order models to describe a dynamical system is pervasive in science and engineering. Often these models are used without an estimate of their error or range of validity. In this paper we consider dynamical systems and reduced models built using proper orthogonal decomposition. We show how to compute estimates and bounds for these errors by a combination of small sample statis...

Accelerated gravitational wave parameter estimation with reduced order modeling.

Inferring the astrophysical parameters of coalescing compact binaries is a key science goal of the upcoming advanced LIGO-Virgo gravitational-wave detector network and, more generally, gravitational-wave astronomy. However, current approaches to parameter estimation for these detectors require computationally expensive algorithms. Therefore, there is a pressing need for new, fast, and accurate ...

An Investigation of Structural-Mechanical Properties of Spun-Bonded Non-Woven Using Computer Vision Method

Higher-order estimation error in structural equation modeling

A general formula of the higher-order asymptotic standard error is derived for the estimators of the parameters in structural equation modeling. The formula can be used for nonnormally distributed data as well as normally distributed ones. For this derivation, the thirdand fourth-order asymptotic central moments of sample variances and covariances are provided for nonnormally and normally distr...