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Non-reversible parallel tempering and optimal ladders #130

@ptiede

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@ptiede

Hi,

This package looks great. I wonder if you have considered using the adaptation schemes from Syed 2019 and Syed 2021.

I have implemented the first of those parallel tempering schemes in C++ and interfaced it with Stan to do some high-dimensional sampling for the EHT and found orders of magnitude improvements over other adaptation schemes. There are also many improvements in the second reference that should drastically increase the round-trip rate of the sampler.

@s-syed and I were actually planning on implementing a generic parallel tempering algorithm for Julia, but it looks like you have a great package here. Did you want to join forces? Having a state-of-the-art PT package in Julia that works with most of AbstractMCMC.jl would be pretty cool.

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