I’m trying to perform sampling from the posterior distribution of a graph as outlined here: Inferring modular network structure — graph-tool 2.65 documentation

However, my graph is a somewhat large knn graph with 80 thousand vertices and k=50.

The example recommends using wait=1000, but it seems unreasonable for me. I’m running the code using the verbose=True option and the output is given below. It looks like there is usually some improvement after around 1100 iterations, but they are somewhat small. But this is after running the code for 28 hours so I do not expect it to finish anytime soon.

Is there some compromise in this position? Is it reasonable to set wait=10 (or even lower) in this scenario or would I not get a good result at all until it has not progressed for a thousand iterations?

I don’t have the intuition for why wait=1000 is expected. Sorry if this is explained somewhere else, but I want to understand what would be a standard way to approach this.

```
niter: 1 count: 0 breaks: 0 min_S: 1.9902840e+08 max_S: 2.1560877e+08 S: 1.9902840e+08 ΔS: -1.65804e+07 moves: 5701241
niter: 2 count: 0 breaks: 0 min_S: 1.8910007e+08 max_S: 2.1560877e+08 S: 1.8910007e+08 ΔS: -9.92833e+06 moves: 2764201
niter: 3 count: 0 breaks: 0 min_S: 1.8436646e+08 max_S: 2.1560877e+08 S: 1.8436646e+08 ΔS: -4.73361e+06 moves: 1116982
niter: 4 count: 0 breaks: 0 min_S: 1.7815211e+08 max_S: 2.1560877e+08 S: 1.7815211e+08 ΔS: -6.21436e+06 moves: 1423478
niter: 5 count: 0 breaks: 0 min_S: 1.7267725e+08 max_S: 2.1560877e+08 S: 1.7267725e+08 ΔS: -5.47486e+06 moves: 1112525
niter: 6 count: 0 breaks: 0 min_S: 1.7075400e+08 max_S: 2.1560877e+08 S: 1.7075400e+08 ΔS: -1.92325e+06 moves: 232455
niter: 7 count: 0 breaks: 0 min_S: 1.6914178e+08 max_S: 2.1560877e+08 S: 1.6914178e+08 ΔS: -1.61222e+06 moves: 221383
niter: 8 count: 0 breaks: 0 min_S: 1.6700370e+08 max_S: 2.1560877e+08 S: 1.6700370e+08 ΔS: -2.13808e+06 moves: 322598
niter: 9 count: 0 breaks: 0 min_S: 1.6549863e+08 max_S: 2.1560877e+08 S: 1.6549863e+08 ΔS: -1.50507e+06 moves: 189690
niter: 10 count: 0 breaks: 0 min_S: 1.6418982e+08 max_S: 2.1560877e+08 S: 1.6418982e+08 ΔS: -1.30881e+06 moves: 156191
niter: 11 count: 0 breaks: 0 min_S: 1.6251294e+08 max_S: 2.1560877e+08 S: 1.6251294e+08 ΔS: -1.67689e+06 moves: 299596
niter: 12 count: 0 breaks: 0 min_S: 1.6095325e+08 max_S: 2.1560877e+08 S: 1.6095325e+08 ΔS: -1.55969e+06 moves: 157615
niter: 13 count: 0 breaks: 0 min_S: 1.5935544e+08 max_S: 2.1560877e+08 S: 1.5935544e+08 ΔS: -1.59781e+06 moves: 438920
niter: 14 count: 0 breaks: 0 min_S: 1.5800240e+08 max_S: 2.1560877e+08 S: 1.5800240e+08 ΔS: -1.35303e+06 moves: 177592
niter: 15 count: 0 breaks: 0 min_S: 1.5566459e+08 max_S: 2.1560877e+08 S: 1.5566459e+08 ΔS: -2.33781e+06 moves: 714831
niter: 16 count: 0 breaks: 0 min_S: 1.5464088e+08 max_S: 2.1560877e+08 S: 1.5464088e+08 ΔS: -1.02371e+06 moves: 64782
niter: 17 count: 0 breaks: 0 min_S: 1.5316267e+08 max_S: 2.1560877e+08 S: 1.5316267e+08 ΔS: -1.47821e+06 moves: 128609
niter: 18 count: 0 breaks: 0 min_S: 1.5157728e+08 max_S: 2.1560877e+08 S: 1.5157728e+08 ΔS: -1.58539e+06 moves: 263014
niter: 19 count: 0 breaks: 0 min_S: 1.5039887e+08 max_S: 2.1560877e+08 S: 1.5039887e+08 ΔS: -1.17841e+06 moves: 253748
niter: 20 count: 0 breaks: 0 min_S: 1.4864670e+08 max_S: 2.1560877e+08 S: 1.4864670e+08 ΔS: -1.75217e+06 moves: 249024
niter: 21 count: 0 breaks: 0 min_S: 1.4699752e+08 max_S: 2.1560877e+08 S: 1.4699752e+08 ΔS: -1.64918e+06 moves: 264039
niter: 22 count: 0 breaks: 0 min_S: 1.4617827e+08 max_S: 2.1560877e+08 S: 1.4617827e+08 ΔS: -819253. moves: 63270
...
niter: 1161 count: 2 breaks: 0 min_S: 1.1101243e+08 max_S: 2.1560877e+08 S: 1.1101243e+08 ΔS: -61.0937 moves: 25732
niter: 1162 count: 0 breaks: 0 min_S: 1.1101238e+08 max_S: 2.1560877e+08 S: 1.1101238e+08 ΔS: -41.7203 moves: 51686
niter: 1163 count: 0 breaks: 0 min_S: 1.1101238e+08 max_S: 2.1560877e+08 S: 1.1101238e+08 ΔS: -5.15840 moves: 48550
niter: 1164 count: 0 breaks: 0 min_S: 1.1101221e+08 max_S: 2.1560877e+08 S: 1.1101221e+08 ΔS: -165.699 moves: 23315
```