Simple binning algorithm and SimDec visualization for comprehensive sensitivity analysis of complex computational models

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Kozlova, Mariia, Ahola, Antti, Roy, Pamphile T., Yeomans, Julian Scott
Format: Preprint
Published: 2023
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911016720269312
author Kozlova, Mariia
Ahola, Antti
Roy, Pamphile T.
Yeomans, Julian Scott
author_facet Kozlova, Mariia
Ahola, Antti
Roy, Pamphile T.
Yeomans, Julian Scott
contents Models of complex technological systems inherently contain interactions and dependencies among their input variables that affect their joint influence on the output. Such models are often computationally expensive and few sensitivity analysis methods can effectively process such complexities. Moreover, the sensitivity analysis field as a whole pays limited attention to the nature of interaction effects, whose understanding can prove to be critical for the design of safe and reliable systems. In this paper, we introduce and extensively test a simple binning approach for computing sensitivity indices and demonstrate how complementing it with the smart visualization method, simulation decomposition (SimDec), can permit important insights into the behavior of complex engineering models. The simple binning approach computes first-, second-order effects, and a combined sensitivity index, and is considerably more computationally efficient than the mainstream measure for Sobol indices introduced by Saltelli et al. The totality of the sensitivity analysis framework provides an efficient and intuitive way to analyze the behavior of complex systems containing interactions and dependencies.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13446
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Simple binning algorithm and SimDec visualization for comprehensive sensitivity analysis of complex computational models
Kozlova, Mariia
Ahola, Antti
Roy, Pamphile T.
Yeomans, Julian Scott
Methodology
Applications
Models of complex technological systems inherently contain interactions and dependencies among their input variables that affect their joint influence on the output. Such models are often computationally expensive and few sensitivity analysis methods can effectively process such complexities. Moreover, the sensitivity analysis field as a whole pays limited attention to the nature of interaction effects, whose understanding can prove to be critical for the design of safe and reliable systems. In this paper, we introduce and extensively test a simple binning approach for computing sensitivity indices and demonstrate how complementing it with the smart visualization method, simulation decomposition (SimDec), can permit important insights into the behavior of complex engineering models. The simple binning approach computes first-, second-order effects, and a combined sensitivity index, and is considerably more computationally efficient than the mainstream measure for Sobol indices introduced by Saltelli et al. The totality of the sensitivity analysis framework provides an efficient and intuitive way to analyze the behavior of complex systems containing interactions and dependencies.
title Simple binning algorithm and SimDec visualization for comprehensive sensitivity analysis of complex computational models
topic Methodology
Applications
url https://arxiv.org/abs/2310.13446