Nonlinear Parameter Estimation Using Interval Analysis

Global Nonlinear Parameter Estimation Using Interval Analysis: Parallel Computing Strategies

Reliable Nonlinear Parameter Estimation in VLE Modeling

The reliable solution of nonlinear parameter estimation problems is an important computational problem in the modeling of vapor-liquid equilibrium (VLE). Conventional solution methods may not be reliable since they do not guarantee convergence to the global optimum sought in the parameter estimation problem. We demonstrate here a technique, based on interval analysis, that can solve the nonline...

Reliable Nonlinear Parameter Estimation Using Interval Analysis: Error-in-Variable Approachy

Parameter estimation is a key problem in the development of process models, both steadyand unsteadystate, and thus is an important issue in both process design and control. The error-in-variable approach differs distinctly from the standard approach in that measurement errors in both dependent and independent system variables are taken into account when formulating the objective function in the...

Guaranteed Characterization of Exact Non-Asymptotic Confidence Regions in Nonlinear Parameter Estimation

Recently, a new family of methods has been proposed for characterizing accuracy in nonlinear parameter estimation by Campi et al.. These methods make it possible to obtain exact, nonasymptotic confidence regions for the parameter estimates under relatively mild assumptions on the noise distribution, namely that the noise samples are independently and symmetrically distributed. The numerical cha...

Parameter Estimation in Biological Systems Using Interval Methods with Parallel Processing

The modeling of biological systems often involves the estimation of model parameters. Estimation methods have been developed to model these systems in a boundederror context due to the uncertainty involved in biological processes. This application of bounded methods to nonlinear and higher-dimensional systems is computationally expensive resulting in excessive simulation times. One possible sol...