Measuring performance of a collective coordinate

[maxentile]

Are there any limitations with the standard ways of doing this?

Standard way: Fit a Markov model to the clusters, then plot implied relaxation time scales and see how quickly they converge as you increase lag time. Faster convergence means the observations are markovian on shorter time scales,which is good.

Other ideas:

• Examine autocorrelation time of the projection directly.
  • Limitation: requires selecting a specific lagtime to optimize for.
  • Possible solution: optimize for several lagtimes simultaneously

Test cases:

• map all points to a single overlapping blob