TABLE 1.

Comparison of modern model averaging/ensembling methods.

Method	Instance‐wise?	Require new data?	Weights
Naive ensemble	No	No	$w=1/N$
PBMA	No	Yes	$w_i\propto \mathit{BIC}\left({\mathcal{M}}_{\mathfrak{i}}\right)$
Model selection	No	Yes	N/A
Synthetic Model Combination	Yes	No	$w_i\left(x\right)\propto p_i^{\mathcal{Z}}\left(f_{\mathrm{\theta }}\left(x\right)\right)$

Abbreviations: N/A, not applicable; PBMA, Performance‐based Model Averaging.