Hi Peter,


Thanks for your reply. If I understand you correctly, what you said is 
basically defining a similarity score and cluster the network into layers and 
run SBM on each layer and then compare?


Thanks,
Tim

At 2017-03-27 06:22:18, "Peter Straka" <[email protected]> wrote:

Do the networks have the same number of nodes? If so, you could 
define a variable which has a distinct value for each network in your series,
use this variable as a layer variable

see if this formulation is reducing overall description length, compared to 
modelling each network individually.
If description length is reduced, then the layer variable is informative in 
forming the blocks. This might not be what you want if you have a time series, 
though... 
Peter


On Fri, 24 Mar 2017 at 11:29 treinz <[email protected]> wrote:



Hi Tiago,


Thank you for the info. Here's a follow-up question. If I have a series of 
networks and I'm expecting some clusters of networks in terms of their 
stochastic block structure, i.e., there exist networks that are similar to each 
other when compare their block models. I'm trying to compare them and then 
identify these clusters by using SBM. Is the layered SBM the appropriate way of 
doing this and if so how should I use the layered SBM to do so? I don't have 
enough background to fulling appreciate what's in the paper even after I read 
it thoroughly and I hope you can give me some idea.


Thanks,
Tim
At 2017-02-24 02:39:26, "Tiago de Paula Peixoto" <[email protected]> wrote:
>On 23.02.2017 02:01, treinz wrote:
>> Hi all, 
>> 
>> I'm new to the graph theory field and graph-tool package. Can anyone help me
>> with the following questions on SBM of layered graph: 
>> 
>> 1) In the example shown in
>> https://graph-tool.skewed.de/static/doc/demos/inference/inference.html#edge-layers-and-covariates,
>> the edge covariates for the Les Misérables network is passed via g.ep.value: 
>> 
>> state = gt.minimize_blockmodel_dl(g, deg_corr=False, layers=True, 
>>                                   state_args=dict(ec=g.ep.value, 
>> layers=False)) 
>> 
>> In this case, does the constructed layered model automatically detect how
>> many layers there should be in order to obtain a best fit SBM? If so, how
>> can one retrieve the layer membership of each edge? If not, is there a way
>> to do so in graph-tool via other function calls? 
>
>Each layer corresponds to a particular value of the g.ep.value property map,
>which was passed as the `ec` parameter. There is no need to extract
>anything, since this information was provided to the function in the first
>place.
>
>> 2) There's a so called 'independent layers' model discussed in the
>> reference: Peixoto, T. P., Phys. Rev. E, 2015, 92, 042807 and it seems that
>> setting state_args=dict(ec=g.ep.value, layers=True) in the example should
>> use this model instead of the edge covariate model. But it seems from the
>> paper that on is required to input the number of layers ('C' as in Fig. 3 of
>> the reference). So how exactly should I use graph-tool to use the
>> 'independent layers' model? Or is the algorithm capable of automatically
>> detecting 'C' or the number of layers from the data? 
>
>The number of layers is determined automatically from the supplied `ec`
>parameter.
>
>Best,
>Tiago
>
>-- 
>Tiago de Paula Peixoto <[email protected]>
>





 

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