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vbmc
Variational Bayesian Monte Carlo (VBMC) algorithm for posterior and model inference in MATLAB (old location) (by lacerbi)
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Found relevant code at https://github.com/lacerbi/vbmc + all code implementations here
The MATLAB implementation has been around for a while, and other research groups have applied it among other things for Bayesian parameter inference in:
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Hence, a higher number means a more popular project.