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Adaptive multi‐index collocation for uncertainty quantification and sensitivity analysis
International Journal for Numerical Methods in Engineering ( IF 2.7 ) Pub Date : 2020-08-05 , DOI: 10.1002/nme.6450
John D. Jakeman , Michael S. Eldred , Gianluca Geraci , Alex Gorodetsky

In Jakeman et al,1 Figures 10 and 11 were corrected to:

NME-6450-FIG-0001-c
FIGURE 1
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The number of simulations (left) and fraction of total work (right) assigned to each approximate advection diffusion model at the point labeled 1 in Figure 9. Here M 𝒦 𝒥 | α = card 𝒵 𝒦 𝒥 | α is the number of samples, of the random variables, at which f ^ α is evaluated. The number on top of the bars in the left plot are the exact values of M 𝒦 𝒥 | α and the numbers on the bars on the right plot are the fraction of total work assigned to each model indexed by α. Finally the labels of the horizontal axis represent the indices α to which AMISC has assigned at least one evaluation [Color figure can be viewed at wileyonlinelibrary.com]
NME-6450-FIG-0002-c
FIGURE 2
Open in figure viewerPowerPoint
The number of simulations (left) and fraction of total work (right) assigned to each approximate advection diffusion model at the point labeled 2 in Figure 9. Here M 𝒦 𝒥 | α = card 𝒵 𝒦 𝒥 | α is the number of samples, of the random variables, at which f ^ α is evaluated. The number on top of the bars in the left plot are the exact values of M 𝒦 𝒥 | α and the numbers on the bars on the right plot are the fraction of total work assigned to each model indexed by α. Finally the labels of the horizontal axis represent the indices α to which AMISC has assigned at least one evaluation [Color figure can be viewed at wileyonlinelibrary.com]


中文翻译:

自适应多指标搭配用于不确定性量化和敏感性分析

在Jakeman等人的文章1中,图10和11被更正为:

NME-6450图0001-c
图1
在图形查看器中打开微软幻灯片软件
在图9中标记为1的点上,分配给每个近似对流扩散模型的模拟次数(左)和总功的分数(右)。 中号 𝒦 𝒥 | α = 𝒵 𝒦 𝒥 | α 是随机变量的样本数, F ^ α 被评估。左图中条形图顶部的数字是的精确值 中号 𝒦 𝒥 | α 右图上的条形图上的数字是分配给每个模型的总功的比例,由α索引。最后,水平轴的标签表示AMISC为其分配了至少一项评估的索引α [颜色数字可在wileyonlinelibrary.com上查看]
NME-6450图0002-c
图2
在图形查看器中打开微软幻灯片软件
在图9中标为2的点处,分配给每个近似对流扩散模型的模拟次数(左)和总功的分数(右)。 中号 𝒦 𝒥 | α = 𝒵 𝒦 𝒥 | α 是随机变量的样本数, F ^ α 被评估。左图中条形图顶部的数字是的精确值 中号 𝒦 𝒥 | α 右图上的条形图上的数字是分配给每个模型的总功的比例,由α索引。最后,水平轴的标签表示AMISC为其分配了至少一项评估的索引α [颜色数字可在wileyonlinelibrary.com上查看]
更新日期:2020-09-10
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