local_interval_est

Interval analysis using local optimization

Topics

uncertainty_quantification, epistemic_uncertainty_quantification_methods, interval_estimation

Specification

  • Alias: nond_local_interval_est

  • Arguments: None

Child Keywords:

Required/Optional

Description of Group

Dakota Keyword

Dakota Keyword Description

Optional (Choose One)

Optimization Solver

sqp

Uses a sequential quadratic programming method for underlying optimization

nip

Uses a nonlinear interior point method for underlying optimization

Optional

convergence_tolerance

Stopping criterion based on objective function or statistics convergence

Optional

model_pointer

Identifier for model block to be used by a method

Description

Interval analysis using local methods ( local_interval_est). If the problem is amenable to local optimization methods (e.g. can provide derivatives or use finite difference method to calculate derivatives), then one can use one of two local methods to calculate these bounds.

  • sqp

  • nip

Additional Resources

Refer to Variable Support for information on supported variable types.

Theory

In interval analysis, one assumes that nothing is known about an epistemic uncertain variable except that its value lies somewhere within an interval. In this situation, it is NOT assumed that the value has a uniform probability of occuring within the interval. Instead, the interpretation is that any value within the interval is a possible value or a potential realization of that variable. In interval analysis, the uncertainty quantification problem is one of determining the resulting bounds on the output (defining the output interval) given interval bounds on the inputs. Again, any output response that falls within the output interval is a possible output with no frequency information assigned to it.