Comparison of Statistical and Deterministic Frameworks of Uncertainty Quantification

Two different approaches to the prediction problem are compared employing a realistic example---combustion of natural gas---with 102 uncertain parameters and 76 quantities of interests. One approach, termed bound-to-bound data collaboration (abbreviated to B2B), deploys semidefinite programming algorithms where the initial bounds on unknowns are combined with initial bounds of experimental data to produce new uncertainty bounds for the unknowns...