The length diameter ratio of the high-pressure chamber (a typical multi-dimensional parameter) is investigated.
Regions are identified in the multi-dimensional parameter space in which various model simplifications are possible.
Here, an approach for designing such a controller for cases in which the performance function is fully determined by the value of a multi-dimensional parameter is presented.
Identifying and tracking dynamic modes in a multi-dimensional parameter space is a problem that presents itself in many engineering disciplines.
The posterior pdf derived with MCMC conveys important information about parameter uncertainty, multi-dimensional parameter correlation, and thus how many significant parameters are warranted by the calibration data.
Unlike simulated annealing that heuristically discovers the multi-dimensional parameter space of candidate solutions, Taguchi's method uses a so-called orthogonal array (OA)[18], where a reduced set of representative parameter combinations from the full search space is tested.
In the application of systems codes within this multi-dimensional parameter space, a clear quantitative understanding of the most suitable optimization criteria has to be developed, and various physics and technology limits should be obeyed to obtain meaningful results.
A priori information about the number and types of steady states possible for a given set of parameters is obtained by dividing the entire multi-dimensional parameter space into several regions.
We note here that greedy sampling methods are similar in objective to, but very different in approach from, more well-known Proper Orthogonal Decomposition (POD) methods [21]; the former are usually applied in the (multi-dimensional) parameter domain, while the latter are most often applied in the (one-dimensional) temporal domain.
For computer simulations, we considered large parts of the multi-dimensional parameter space.
Since the model often has several free parameters, then the 95% confidence interval is, in fact, a region of the multi-dimensional parameter space of the free parameters.
