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Hi Darren:
If you like, something not so standard: sampling the posterior in the logistic regression with a bouncy particle sampler using our package ZigZagBoomerang.jl (please excuse I am using that programming language...). This is a nonreversible sampler with a continuous (piecewise linear) trajectory, so the trace is really a line and not a sequence of points. This is maybe most interesting because from here it is only one step to the case of a sparse problem (using a spike and slab prior as in https://arxiv.org/abs/2103.08478).
Here I am just using the package, but perhaps also a more elementary version which illustrates how the algorithm can be implemented would be worthwhile, which then also can be ported.
The figure shows the beginning of the continuous sampler trace in β₁-β₂-plane.