search

probml / pml2-book

Probabilistic Machine Learning: Advanced Topics
MIT License
1.37k stars 118 forks source link

Typo in Section 12.5.4, pg. 513, version 2023-08-15 #283

Closed samsartor closed 1 month ago

samsartor commented 11 months ago

Equation 12.77 for the MH acceptance probability uses $-\mathcal{H}(\mathbfit{\theta}^\ast, \mathbfit{v}^\ast) + \mathcal{H}(\mathbfit{\theta}_{t-1}, \mathbfit{v}_{t-1})$ immediately after asserting that $\mathcal{H}$ (the total energy) is constant. Should this be the potential energy $\mathcal{E}$ instead?

murphyk commented 1 month ago

The idea of the MH acceptance is to ensure that H is constant even as we change theta,v. So I think it is correct.