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. Author manuscript; available in PMC: 2021 May 17.
Published in final edited form as: Int J Uncertain Quantif. 2020;10(6):515–542. doi: 10.1615/int.j.uncertaintyquantification.2020033241

TABLE 6:

Model parameters in the IL1beta example. The second column presents the parameters of the prior distribution, where we use a Gaussian prior in the log10-transformed parameter space with a diagonal covariance matrix. The last four columns present the posterior mean and standard deviation of model parameters estimated using the ST-MCMC with full-fidelity model and the Multifidelity ST-MCMC with three different bridging strategies.

Parameter Prior Posterior
Full-fidelity ESS-Bridge IT-Bridge Tuned IT-Bridge
log10(r1) −2.00 ± 0.33 −2.48 ± 0.03 −2.47 ± 0.03 −2.47 ± 0.03 −2.47 ± 0.03
log10(r2) −2.00 ± 0.33 −2.00 ± 0.34 −2.00 ± 0.33 −2.00 ± 0.33 −2.00 ± 0.32
log10(k01) −3.00 ± 0.33 −3.26 ± 0.03 −3.25 ± 0.04 −3.25 ± 0.03 −3.25 ± 0.03
log10(a10) −2.00 ± 0.33 −1.31 ± 0.06 −1.31 ± 0.06 −1.30 ± 0.06 −1.31 ± 0.06
log10(k10) 3.00 ± 0.33 3.04 ± 0.34 3.05 ± 0.34 3.06 ± 0.30 3.04 ± 0.31
log10(k12) −3.00 ± 0.33 −3.08 ± 0.03 −3.08 ± 0.04 −3.08 ± 0.04 −3.08 ± 0.03
log10(k21) −2.00 ± 0.33 −1.25 ± 0.15 −1.26 ± 0.14 −1.28 ± 0.14 −1.28 ± 0.13
log10(α1) −3.00 ± 0.33 −3.60 ± 0.15 −3.60 ± 0.16 −3.60 ± 0.16 −3.60 ± 0.16
log10(α2) 0.00 ± 0.33 0.71 ± 0.15 0.70 ± 0.14 0.68 ± 0.13 0.68 ± 0.13
log10(γ) −4.00 ± 0.33 −4.56 ± 0.05 −4.56 ± 0.05 −4.56 ± 0.05 −4.56 ± 0.05
log10(T0) 4.00 ± 0.33 5.36 ± 0.09 5.36 ± 0.09 5.37 ± 0.08 5.37 ± 0.09