Statistical physics of pairwise probability models
2009 (English)In: FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, ISSN 1662-5188, Vol. 3, 22- p.Article in journal (Refereed) Published
Statistical models for describing the probability distribution over the states of biological systems are commonly used for dimensional reduction. Among these models, pairwise models are very attractive in part because they can be fit using a reasonable amount of data: knowledge of the mean values and correlations between pairs of elements in the system is sufficient. Not surprisingly, then, using pairwise models for studying neural data has been the focus of many studies in recent years. In this paper, we describe how tools from statistical physics can be employed for studying and using pairwise models. We build on our previous work on the subject and study the relation between different methods for fitting these models and evaluating their quality. In particular, using data from simulated cortical networks we study how the quality of various approximate methods for inferring the parameters in a pairwise model depends on the time bin chosen for binning the data. We also study the effect of the size of the time bin on the model quality itself, again using simulated data. We show that using finer time bins increases the quality of the pairwise model. We offer new ways of deriving the expressions reported in our previous work for assessing the quality of pairwise models.
Place, publisher, year, edition, pages
2009. Vol. 3, 22- p.
pairwise model, inverse ising problem, maximum entropy distribution, inference
Biological Sciences Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-32561DOI: 10.3389/neuro.10.022.2009ISI: 000283727800003ScopusID: 2-s2.0-77949406582OAI: oai:DiVA.org:kth-32561DiVA: diva2:411308
QC 201104182011-04-182011-04-152011-04-18Bibliographically approved