Fig. 2

A barcode representation of hepatic decompensation status within a year. The horizontal axis line corresponds to the parameter ɛ, and the vertical axis line is the ordering of the homology generators. Note that the vertical placement is only introduced for display and does not have any intrinsic meaning. a Patients with hepatic decompensation within a year group exhibit Betti numbers typically between 0 and 50. b Patients without hepatic decompensation exhibit Betti numbers between 0 and 100. With the red box-based indicator, we can see a clear difference between the 1-dimensional homologies durations in both categories