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benjaminsipes opnumten

networkqit's Issues

Questions about UECM3

I'm trying to implement the directed version of the Enhanced Configuration Model, and it's turning out to be trickier than I thought. I'm learning from reading your code here. Thanks for the library!

I have a question about this portion in the docs:

https://github.com/CarloNicolini/networkqit/blob/master/networkqit/graphtheory/models/MEModels.py#L198-L205

    9. Parameters bounds
        very complicated
        1. xi > 0
        2. yi > 0
        3. yi < 1
        4. 0 < xi yi < 1
    Reference:
        Squartini thesis page 126

I can't seem to find Squartini's thesis, but in https://arxiv.org/abs/1706.00230 (page 6) and https://iopscience.iop.org/article/10.1088/1367-2630/16/4/043022/meta (page 11) I see all those conditions except for 4.

I see here https://github.com/CarloNicolini/networkqit/blob/master/networkqit/graphtheory/models/MEModels.py#L212

        self.bounds = [(EPS ,None)] * self.N + [(EPS, 1-EPS)] * self.N

that you're enforcing the first 3 conditions with bounds, but I can't see if you're enforcing 4 anywhere.

Testing it out on the code from the README (btw you're not passing the method in the README, but it seems to be required):

A = nq.ring_of_custom_cliques([24,12,8])
M = nq.UECM3(N=len(A))
sol = M.fit(G=A, ftol=1E-9, method="MLE")

N = A.shape[0]
for (a, b) in zip(sol.x[:N], sol.x[N:]):
    if a*b >= 1:
        print(a, b, a*b)

Output:

615.1819615951695 0.002876463707218509 1.7695485858639957
583.5740399220408 0.0027044412700660617 1.5782417177043466
583.5740399220408 0.0027044412700748684 1.578241717709486
583.5740399220408 0.0027044412700617964 1.5782417177018575
583.5740399220408 0.00270444127010044 1.578241717724409
583.5740399220408 0.0027044412700721544 1.5782417177079022
583.5740399220408 0.002704441270058145 1.5782417176997265
583.5740399220408 0.0027044412700655634 1.5782417177040557
583.5740399220408 0.0027044412700939244 1.5782417177206065
583.5740399220408 0.002704441270043958 1.5782417176914474
583.5740399220408 0.0027044412700617847 1.5782417177018506
583.5740399220408 0.002704441270054217 1.5782417176974344
583.5740399220408 0.0027044412700793444 1.5782417177120982
583.5740399220408 0.0027044412700779623 1.5782417177112915
583.5740399220408 0.0027044412700883286 1.5782417177173411
583.5740399220408 0.0027044412700830624 1.5782417177142678
583.5740399220408 0.002704441270085959 1.5782417177159582
583.5740399220408 0.002704441270088149 1.5782417177172363
583.5740399220408 0.002704441270082641 1.5782417177140218
583.5740399220408 0.002704441270084962 1.5782417177153762
583.5740399217979 0.002704441270067596 1.578241717704585
583.5740399220408 0.002704441270085395 1.5782417177156292
583.5740399219059 0.00270444127007008 1.5782417177063268
615.1819615949613 0.0028764637072142807 1.7695485858607958

Btw, what does the 3 in "UECM3" refer to?

Thanks for any help!

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