I think the problem with MCMC is that’s an incredible dirty thing from the perspective of a mathematician. It’s way to practically useful as opposed to being about mathematical theorems. MCMC is about doing an efficient way to do calculation and doing calculations is low status for mathematicians. It has ugly randomness in it.
I was personally taught MCMC when studying bioinformatics and I was a bit surprised when talking with a friend who was a math Phd who had a problem where MCMC would have worked very well for a subproblem but it was completely out his radar.
MCMC was something that came out of compuer science and not out of the statistic community. Most people in statistics cared about statistical significance. The math community already looks down at the statistics community and MCMC seems to be even worse from that perspective.
My statistics proof said that in principle bioinformatics could have had been a subfield of statistics but the way of doing things was in the beginning rejected by the statistics community so that bioinformatics had to become it’s own field (and it’s the field where MCMC was used a lot because you actually need it for the problems that bioinformatics cares about).
I think the problem with MCMC is that’s an incredible dirty thing from the perspective of a mathematician. It’s way to practically useful as opposed to being about mathematical theorems. MCMC is about doing an efficient way to do calculation and doing calculations is low status for mathematicians. It has ugly randomness in it.
I was personally taught MCMC when studying bioinformatics and I was a bit surprised when talking with a friend who was a math Phd who had a problem where MCMC would have worked very well for a subproblem but it was completely out his radar.
MCMC was something that came out of compuer science and not out of the statistic community. Most people in statistics cared about statistical significance. The math community already looks down at the statistics community and MCMC seems to be even worse from that perspective.
My statistics proof said that in principle bioinformatics could have had been a subfield of statistics but the way of doing things was in the beginning rejected by the statistics community so that bioinformatics had to become it’s own field (and it’s the field where MCMC was used a lot because you actually need it for the problems that bioinformatics cares about).