Do I need Jacobian adjustment here?

I was curious for general jacobian adjustments usecases and this was also helpful. So maybe

needed:

  1. priors that go beyond parameter block
  2. jacobian of reparameterization is nonconstant (eg. nonlinear transformation)
  3. jacobian of reparameterization is constant but Bayes factor is needed

not needed:

  1. priors restricted on parameter block
  2. jacobian of reparameterization is constant and only inference is needed
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