Appendix: Mathematical Derivation and Computational Complexity of the Bayesian Score

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In this appendix, we first describe the mathematical derivation of the marginal likelihood of model Mh: P (G|Mh) (Section 2). Then we show four equivalent formulas for solving P (G|Mh) (Section 3). After that, we show how to obtain the marginal likelihood of model Ml from the solution to the marginal likelihood of model Mh (Section 4). Finally, we show that the overall computational complexity for computing the Bayesian score is O(min(N11, N12, N21, N22)) (Section 5).

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تاریخ انتشار 2012