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@INPROCEEDINGS{Rostami:809498,
      author       = {Rostami, Vahid and Mana, PierGianLuca and Helias, Moritz},
      title        = {{P}airwise maximum-entropy models: bimodality, bistability,
                      non-ergodicityproblems, and their elimination via
                      inhibition},
      reportid     = {FZJ-2016-02592},
      year         = {2016},
      abstract     = {The pairwise maximum-entropy model [1,2], applied to
                      experimental neuronal data of populations of 200 andmore
                      neurons, is very likely to give a bimodal probability
                      distribution for the population-averaged activity. Wehave
                      provided evidence for this claim, starting from an
                      experimental dataset and then looking at summarizeddata from
                      the literature. The first mode is the one observed in the
                      data. The second mode (unobserved)can appear at very high
                      activities (even $90\%$ of the population simultaneously
                      active) and its height increaseswith population size. This
                      bimodality has several undesirable consequences:1.The
                      presence of two modes is unrealistic in view of observed
                      neuronal activity.2.The prediction of a high-activity mode
                      is unrealistic on neurobiological grounds.3.Boltzmann
                      learning becomes non-ergodic, hence the pairwise model found
                      by this method is not themaximum entropy distribution;
                      similarly, solving the inverse problem by common variants of
                      mean-fieldapproximations has the same problem.4.The Glauber
                      dynamics associated with the model is either unrealistically
                      bistable, or does not reflect thedistribution of the
                      pairwise model.},
      month         = {May},
      date          = {2016-05-25},
      organization  = {9th Bernstein Sparks Workshop,
                       Göttingen (Germany), 25 May 2016 - 27
                       May 2016},
      subtyp        = {Other},
      cin          = {INM-6},
      cid          = {I:(DE-Juel1)INM-6-20090406},
      pnm          = {331 - Signalling Pathways and Mechanisms in the Nervous
                      System (POF2-331) / 574 - Theory, modelling and simulation
                      (POF3-574) / 571 - Connectivity and Activity (POF3-571)},
      pid          = {G:(DE-HGF)POF2-331 / G:(DE-HGF)POF3-574 /
                      G:(DE-HGF)POF3-571},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/809498},
}