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 |