2022
DOI: 10.1038/s41598-022-06870-9
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Heteroscedastic sparse Gaussian process regression-based stochastic material model for plastic structural analysis

Abstract: Describing the material flow stress and the associated uncertainty is essential for the plastic stochastic structural analysis. In this context, a data-driven approach-heteroscedastic sparse Gaussian process regression (HSGPR) with enhanced efficiency is introduced to model the material flow stress. Different from other machine learning approaches, e.g. artificial neural network (ANN), which only estimate the deterministic flow stress, the HSGPR model can capture the flow stress and its uncertainty simultaneou… Show more

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Cited by 9 publications
(2 citation statements)
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“…Therefore, the Gaussian regression model was deemed highly suitable for the data set collected. GP has also become a research hot spot in the field of machine learning and been successfully applied in many fields [ 20 , 21 , 22 , 23 , 24 ].…”
Section: Methodsmentioning
confidence: 99%
“…Therefore, the Gaussian regression model was deemed highly suitable for the data set collected. GP has also become a research hot spot in the field of machine learning and been successfully applied in many fields [ 20 , 21 , 22 , 23 , 24 ].…”
Section: Methodsmentioning
confidence: 99%
“…Graf et al (2012) used the fuzzy neural network to describe the uncertain stress-strain trends successfully based on the material data. Chen et al (2022aChen et al ( , 2021Chen et al ( , 2023) introduced a Bayesian-based ML algorithm, that is, the Gaussian process regression (GPR) model, for quantifying the material uncertainty directly from the experimental data. They achieved good application in both the metal and the rock.…”
Section: Data Availabilitymentioning
confidence: 99%