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On Mixing in Pairwise Markov Random Fields with Application to Social Networks
Abstract : We consider pairwise Markov random fields which have a number of important applications in statistical physics, image processing and machine learning such as Ising model and labeling problem to name a couple. Our own motivation comes from the need to produce synthetic models for social networks with attributes. First, we give conditions for rapid mixing of the associated Glauber dynamics and consider interesting particular cases. Then, for pairwise Markov random fields with submodular energy functions we construct monotone perfect simulation.
Cited literature [16 references]
https://hal.inria.fr/hal-01399090
Contributor : Konstantin Avrachenkov <>
Submitted on : Friday, November 25, 2016 - 5:41:06 PM
Last modification on : Thursday, September 24, 2020 - 10:22:03 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:10:32 AM
Contributor : Konstantin Avrachenkov <>
Submitted on : Friday, November 25, 2016 - 5:41:06 PM
Last modification on : Thursday, September 24, 2020 - 10:22:03 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:10:32 AM
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WAW16MixingPaper.pdf
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