2016
DOI: 10.1007/s11837-016-1867-4
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Insights from the 3rd World Congress on Integrated Computational Materials Engineering

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Cited by 6 publications
(6 citation statements)
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“…, ψ q ∈ R q + . Notice that the model introduced in Equation (1) involves a summation of three random processes defined in Equations (7), (12) and (13). Here, we approximate the multivariate T process (the surrogate model) with a Gaussian Process, so that the summation in the RHS of Equation (1) becomes another Gaussian Process due to the property of addition of statistically independent Gaussian random variables [63].…”
Section: Multivariate Calibration Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…, ψ q ∈ R q + . Notice that the model introduced in Equation (1) involves a summation of three random processes defined in Equations (7), (12) and (13). Here, we approximate the multivariate T process (the surrogate model) with a Gaussian Process, so that the summation in the RHS of Equation (1) becomes another Gaussian Process due to the property of addition of statistically independent Gaussian random variables [63].…”
Section: Multivariate Calibration Modelmentioning
confidence: 99%
“…These models use the system governing equations to compute and predict specific quantities of interest (QoIs). As a well-established fact, all of these simulation models are imperfect and thus their predictions will differ key need for computational materials models [11,12], there is a literature gap in this area [13]. Chernatynskiy et al [3] present a review of the few existing works on UQ of multi-scale simulation models.…”
Section: Introductionmentioning
confidence: 99%
“…For example, until recently there were still major scientific and technological challenges associated with establishing (computational/experimental) linkages across the process-structure-property/performance paradigm [1] that underpins much of the research activities of the materials science community. Despite the many remaining challenges, this barrier has reduced considerably over the last decade through research programs and initiatives such as ICME [10,11] and MGI [12][13][14]. The design research community also has made great strides in areas such as design representation, design informatics, and design automation.…”
Section: A Workhop On Interdisciplinary Frontiers Ofmentioning
confidence: 99%
“…Likelihood function: We arrange the full set of data as d ¼ ½Y > ; Z > > and calculate the likelihood function based on the GP assumptions, which yields pðdjh; b; /Þ $ N Nþn ðHb; RÞ (11) where Posterior distribution: Given the above, the posterior distribution is obtained using Bayes' rule…”
Section: Surrogatementioning
confidence: 99%
“…One field in which the application of UQ is highly desired is computational materials science in general [10] and the emerging field of Integrated Computational Materials Engineering (ICME) in particular [11][12][13]. ICME is a new approach within the broad field of materials science and engineering that aims to integrate computational materials models to enable the optimization of the materials, manufacturing processes, and component design long before components are fabricated [14].…”
Section: Introductionmentioning
confidence: 99%