We presented a tree mixture in which Markov chain Monte Carlo (MCMC) methods have an exponentially slow convergence rate.
We expect that many other mixture scenarios will show slow convergence. Ronquist et al. show that Metropolis-coupled MCMC (MC3) converges quickly on our mixture. However, they presented no theoretical or systematic experimental evidence determining
the type of mixtures where MC3 or other methods are efficient.
Vol. 312 no. 5772 p. 367
DOI: 10.1126/science.1124180
Response to Comment on "Phylogenetic MCMC Algorithms Are Misleading on Mixtures of Trees"
+ Author Affiliations
We presented a tree mixture in which Markov chain Monte Carlo (MCMC) methods have an exponentially slow convergence rate. We expect that many other mixture scenarios will show slow convergence. Ronquist et al. show that Metropolis-coupled MCMC (MC3) converges quickly on our mixture. However, they presented no theoretical or systematic experimental evidence determining the type of mixtures where MC3 or other methods are efficient.
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