?url_ver=Z39.88-2004&rft_id=arXiv%3A1709.03918&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F4032%2F&rft.title=Reconstruction+of+multiplex+networks+with+correlated+layers&rft.creator=Gemmetto%2C+Valerio&rft.creator=Garlaschelli%2C+Diego&rft.subject=QC+Physics&rft.description=The+characterization+of+various+properties+of+real-world+systems+requires+the+knowledge+of+the+underlying+network+of+connections+among+the+system%26%2339%3Bs+components.+Unfortunately%2C+in+many+situations+the+complete+topology+of+this+network+is+empirically+inaccessible%2C+and+one+has+to+resort+to+probabilistic+techniques+to+infer+it+from+limited+information.+While+network+reconstruction+methods+have+reached+some+degree+of+maturity+in+the+case+of+single-layer+networks+(where+nodes+can+be+connected+only+by+one+type+of+links)%2C+the+problem+is+practically+unexplored+in+the+case+of+multiplex+networks%2C+where+several+interdependent+layers%2C+each+with+a+different+type+of+links%2C+coexist.+Even+the+most+advanced+network+reconstruction+techniques%2C+if+applied+to+each+layer+separately%2C+fail+in+replicating+the+observed+inter-layer+dependencies+making+up+the+whole+coupled+multiplex.+Here+we+develop+a+methodology+to+reconstruct+a+class+of+correlated+multiplexes+which+includes+the+World+Trade+Multiplex+as+a+specific+example+we+study+in+detail.+Our+method+starts+from+any+reconstruction+model+that+successfully+reproduces+some+desired+marginal+properties%2C+including+node+strengths+and%2For+node+degrees%2C+of+each+layer+separately.+It+then+introduces+the+minimal+dependency+structure+required+to+replicate+an+additional+set+of+higher-order+properties+that+quantify+the+portion+of+each+node%26%2339%3Bs+degree+and+each+node%26%2339%3Bs+strength+that+is+shared+and%2For+reciprocated+across+pairs+of+layers.+These+properties+are+found+to+provide+empirically+robust+measures+of+inter-layer+coupling.+Our+method+allows+joint+multi-layer+connection+probabilities+to+be+reliably+reconstructed+from+marginal+ones%2C+effectively+bridging+the+gap+between+single-layer+properties+and+truly+multiplex+information.&rft.publisher=arXiv&rft.date=2017&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.rights=cc_by_nc&rft.identifier=http%3A%2F%2Feprints.imtlucca.it%2F4032%2F1%2F1709.03918.pdf&rft.identifier=++Gemmetto%2C+Valerio+and+Garlaschelli%2C+Diego++Reconstruction+of+multiplex+networks+with+correlated+layers.++Working+Paper+++arXiv+++++++(Submitted)+++&rft.relation=https%3A%2F%2Farxiv.org%2Fpdf%2F1709.03918.pdf&rft.relation=arXiv%3A1709.03918