{ "id": "1702.06822", "version": "v1", "published": "2017-02-22T14:53:26.000Z", "updated": "2017-02-22T14:53:26.000Z", "title": "Variational approximations for stochastic dynamics on graphs", "authors": [ "Alessandro Pelizzola", "Marco Pretti" ], "comment": "28 pages, 5 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "We investigate different mean-field-like approximations for stochastic dynamics on graphs, within the framework of a cluster-variational approach. In analogy with its equilibrium counterpart, this approach allows one to give a unified view of various (previously known) approximation schemes, and suggests quite a systematic way to improve the level of accuracy. We compare the different approximations with Monte Carlo simulations on a reversible (susceptible-infected-susceptible) discrete-time epidemic-spreading model on random graphs.", "revisions": [ { "version": "v1", "updated": "2017-02-22T14:53:26.000Z" } ], "analyses": { "keywords": [ "stochastic dynamics", "variational approximations", "monte carlo simulations", "random graphs", "cluster-variational approach" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }