It might be possible to include things like the FBM Hurst coefficient in the variational Bayes procedure. One caveat might be that the resulting density is not in a recognisable form so maybe something like importance sampling needs to be done.
Incidentally, importance sampling is also needed when dealing with > 3-way interactions or higher order terms.
This is included already with using a metropolis sampler. Actually, as of today, only the binary sampler works. Still need some work on the multinomial sampler.
It might be possible to include things like the FBM Hurst coefficient in the variational Bayes procedure. One caveat might be that the resulting density is not in a recognisable form so maybe something like importance sampling needs to be done.
Incidentally, importance sampling is also needed when dealing with > 3-way interactions or higher order terms.