TY - GEN
T1 - Further investigation of error bounds for reduced order modeling
AU - Abdo, Mohammad
AU - Wang, Congjian
AU - Abdel-Khalik, Hany S.
N1 - Publisher Copyright:
Copyright © (2015) by the American Nuclear Society All rights reserved.
PY - 2015
Y1 - 2015
N2 - This manuscript investigates the level of conservatism of the bounds developed in earlier work to capture the errors resulting from reduced order modeling. Reduced order modeling is premised on the fact that large areas of the input and/or output spaces can be safely discarded from the analysis without affecting the quality of predictions for the quantities of interest. For this premise to be credible, ROM models must be equipped with theoretical bounds that can guarantee the quality of the ROM model predictions. Earlier work has devised an approach in which a small number of oversamples are used to predict such bound. Results indicated that the bound may sometimes be too conservative, which would negatively impact the size and hence the efficiency of the ROM model.
AB - This manuscript investigates the level of conservatism of the bounds developed in earlier work to capture the errors resulting from reduced order modeling. Reduced order modeling is premised on the fact that large areas of the input and/or output spaces can be safely discarded from the analysis without affecting the quality of predictions for the quantities of interest. For this premise to be credible, ROM models must be equipped with theoretical bounds that can guarantee the quality of the ROM model predictions. Earlier work has devised an approach in which a small number of oversamples are used to predict such bound. Results indicated that the bound may sometimes be too conservative, which would negatively impact the size and hence the efficiency of the ROM model.
KW - Error bounds
KW - Reduced order modeling
UR - https://www.scopus.com/pages/publications/84949564795
M3 - Conference contribution
AN - SCOPUS:84949564795
T3 - Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
SP - 3306
EP - 3311
BT - Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
PB - American Nuclear Society
T2 - Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
Y2 - 19 April 2015 through 23 April 2015
ER -