NDLI: Concurrent Design Optimization and Calibration-Based Validation Using Local Domains Sized by Bootstrapping

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Drignei, Dorin Zissimos, P. Mourelatos Pandey, Vijitashwa Kokkolaras, Michael
Copyright Year	2012
Abstract	The design optimization process relies often on computational models for analysis or simulation. These models must be validated to quantify the expected accuracy of the obtained design solutions. It can be argued that validation of computational models in the entire design space is neither affordable nor required. In previous work, motivated by the fact that most numerical optimization algorithms generate a sequence of candidate designs, we proposed a paradigm where design optimization and calibration-based model validation are performed concurrently in a sequence of variable-size local domains that are relatively small compared to the entire design space. A key element of this approach is how to account for variability in test data and model predictions in order to determine the size of the local domains at each stage of the sequential design optimization process. In this paper, we discuss two alternative techniques for accomplishing this: parametric and nonparametric bootstrapping. The parametric bootstrapping assumes a Gaussian distribution for the error between test and model data and uses maximum likelihood estimation to calibrate the prediction model. The nonparametric bootstrapping does not rely on the Gaussian assumption providing therefore, a more general way to size the local domains for applications where distributional assumptions are difficult to verify, or not met at all. If distribution assumptions are met, parametric methods are preferable over nonparametric methods. We use a validation literature benchmark problem to demonstrate the application of the two techniques, emphasizing that results cannot be compared. Which technique to use depends on whether the Gaussian distribution assumption is appropriate based on available information.
Sponsorship	Design Engineering Division Computers and Information in Engineering Division
Starting Page	1167
Ending Page	1177
Page Count	11
File Format	PDF
ISBN	9780791845028
DOI	10.1115/DETC2012-70423
Volume Number	Volume 3: 38th Design Automation Conference, Parts A and B
Conference Proceedings	ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2012-08-12
Publisher Place	Chicago, Illinois, USA
Access Restriction	Subscribed
Subject Keyword	Design Errors Maximum likelihood estimation Simulation Model validation Gaussian distribution Optimization algorithms Calibration Optimization
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in