{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T16:17:55Z","timestamp":1769271475597,"version":"3.49.0"},"reference-count":109,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Wellcome Centre for Human Neuroimaging","award":["205103\/Z\/16\/Z"],"award-info":[{"award-number":["205103\/Z\/16\/Z"]}]},{"name":"Canada\u2013U.K. Artificial Intelligence Initiative","award":["ES\/T01279X\/1"],"award-info":[{"award-number":["ES\/T01279X\/1"]}]},{"name":"European Union\u2019s Horizon 2020 Framework Programme for Research and Innovation","award":["945539"],"award-info":[{"award-number":["945539"]}]},{"DOI":"10.13039\/501100022808","name":"Guy Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100022808","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000925","name":"John Templeton Foundation","doi-asserted-by":"publisher","award":["62230"],"award-info":[{"award-number":["62230"]}],"id":[{"id":"10.13039\/100000925","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shanghai Municipality","award":["KBH1512299"],"award-info":[{"award-number":["KBH1512299"]}]},{"DOI":"10.13039\/501100003347","name":"Fudan University","doi-asserted-by":"publisher","award":["JJH1512105"],"award-info":[{"award-number":["JJH1512105"]}],"id":[{"id":"10.13039\/501100003347","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11875113"],"award-info":[{"award-number":["11875113"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003347","name":"Department of Physics, Fudan University","doi-asserted-by":"publisher","award":["IDH1512092\/001"],"award-info":[{"award-number":["IDH1512092\/001"]}],"id":[{"id":"10.13039\/501100003347","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Mol. Biol. Multi-Scale Commun."],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1109\/tmbmc.2023.3272158","type":"journal-article","created":{"date-parts":[[2023,5,1]],"date-time":"2023-05-01T18:46:05Z","timestamp":1682966765000},"page":"246-256","source":"Crossref","is-referenced-by-count":12,"title":["Control Flow in Active Inference Systems\u2014Part II: Tensor Networks as General Models of Control Flow"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4812-0744","authenticated-orcid":false,"given":"Chris","family":"Fields","sequence":"first","affiliation":[{"name":"Allen Discovery Center, Tufts University, Medford, MA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6972-1020","authenticated-orcid":false,"given":"Filippo","family":"Fabrocini","sequence":"additional","affiliation":[{"name":"College of Design and Innovation, Tongji University, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7984-8909","authenticated-orcid":false,"given":"Karl","family":"Friston","sequence":"additional","affiliation":[{"name":"Wellcome Centre for Human Neuroimaging, University College London, London, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8335-221X","authenticated-orcid":false,"given":"James F.","family":"Glazebrook","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Eastern Illinois University, Charleston, IL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1446-1628","authenticated-orcid":false,"given":"Hananel","family":"Hazan","sequence":"additional","affiliation":[{"name":"Allen Discovery Center, Tufts University, Medford, MA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7292-8084","authenticated-orcid":false,"given":"Michael","family":"Levin","sequence":"additional","affiliation":[{"name":"Allen Discovery Center, Tufts University, Medford, MA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4719-110X","authenticated-orcid":false,"given":"Antonino","family":"Marcian\u00f2","sequence":"additional","affiliation":[{"name":"Center for Field Theory and Particle Physics and the Department of Physics, Fudan University, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1038\/nrn2787"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2013.0475"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1162\/NECO_a_00912"},{"key":"ref4","article-title":"A free energy principle for a particular physics","author":"Friston","year":"2019","journal-title":"arXiv:1906.10184"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1098\/rsfs.2022.0029"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.pbiomolbio.2022.05.006"},{"key":"ref7","article-title":"Path integrals, particular kinds, and strange things","author":"Friston","year":"2022","journal-title":"arXiv:2210.12761"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.30.368"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.79.555"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02698547"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/prop.202200104"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2022.05.028"},{"key":"ref13","article-title":"Deep neural networks as the semi-classical Limit of topological quantum neural networks: The problem of generalisation","author":"Marcian\u00f2","year":"2022","journal-title":"arXiv:2210.13741"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-018-0297-3"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02757029"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.7.2333"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.26.1344"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1038\/248030a0"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1063\/1.531249"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.825"},{"key":"ref21","article-title":"Dimensional reduction in quantum gravity","author":"Hooft","year":"1993","journal-title":"arXiv.org.9310026"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1023\/A:1026654312961","article-title":"The large-N limit of superconformal field theories and supergravity","volume":"38","author":"Maldacena","year":"1999","journal-title":"Int. J. Theor. Phys."},{"key":"ref23","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.96.181602","article-title":"Holographic derivation of entanglement entropy from AdS\/CFT","volume":"96","author":"Ryu","year":"2006","journal-title":"Phys. Rev. Lett."},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP04(2015)163"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP06(2012)114"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP12(2014)162"},{"key":"ref27","article-title":"Communication protocols and quantum error-correcting codes from the perspective of topological quantum field theory","author":"Fields","year":"2023","journal-title":"arXiv:2303.16461"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.86.065007"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.2863"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1080\/14789940801912366"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-49208-9_21"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.110501"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP06(2015)149"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP01(2016)175"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP11(2016)009"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP11(2017)148"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP04(2014)195"},{"key":"ref38","article-title":"Universality of gravity from entanglement","author":"Swingle","year":"2014","journal-title":"arXiv:1405.2933"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP03(2014)067"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.3339"},{"key":"ref41","volume-title":"A Simple Model of Quantum Holography","author":"Kitaev","year":"2015"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.94.106002"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/MC.2005.173"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1038\/s42254-019-0086-7"},{"key":"ref45","first-page":"139","article-title":"One-class SVMs for document classification","volume":"2","author":"Manevitz","year":"2002","journal-title":"J. Mach. Learn. Res."},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/21.87054"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BF00398315"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755804"},{"key":"ref49","first-page":"483","article-title":"Perturbation theory without gauge fixing","volume":"24","author":"Parisi","year":"1981","journal-title":"Scientia Sinica"},{"key":"ref50","article-title":"Stochastic quantization of general relativity \u00e0 la ricci flow","author":"Lulli","year":"2021","journal-title":"arXiv:2112.01490"},{"key":"ref51","volume-title":"Stochastic Ricci flow of topological BF theories","author":"Marcian\u00f2"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.4171\/mag\/101"},{"key":"ref53","volume-title":"New Directions for tensor networks: Machine learning and quantum computing I and II","author":"Stoudenmire"},{"key":"ref54","article-title":"Supervised learning with quantum-inspired tensor networks","author":"Stoudenmire","year":"2016","journal-title":"arXiv:1605.05775"},{"key":"ref55","article-title":"Exponential machines","author":"Novikof","year":"2017","journal-title":"arXiv:1605.03795"},{"key":"ref56","article-title":"From probabilistic graphical models to generalized tensor networks for supervised learning","author":"Glasser","year":"2018","journal-title":"arXiv:1806.05964"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1103\/physrevx.8.031012"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.107.l012103"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1088\/2632-2153\/aca271"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.coph.2010.09.008"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-62703-017-5_3"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.biosystems.2021.104513"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1088\/2399-6528\/ac94be"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/j.coisb.2021.100404"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1088\/2634-4386\/aca7de"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.biosystems.2022.104714"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1002\/wsbm.1410"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.3390\/e24060819"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1016\/j.shpsb.2020.04.002"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199216895.003.0006"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2011.00049"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/j.celrep.2020.107763"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1074\/jbc.R116.735894"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0004189"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1004055"},{"key":"ref76","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/s10699-021-09789-y","article-title":"Molecular biology meets logic: Context-senstivity in focus","volume":"28","author":"D\u2019Agostino","year":"2023","journal-title":"Found. Sci."},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1093\/nc\/niab013"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1968.17.17004"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1080\/0952813X.2020.1836034"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1561\/2200000056"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1021\/acsomega.0c00442"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1037\/dec0000095"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-52289-0_2"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmp.2018.06.001"},{"key":"ref85","first-page":"42","article-title":"On the quantum-like contextuality of ambiguous phrases","volume-title":"Proc. Workshop Semantic Spaces Intersect. NLP Phys. Cogn. Sci.","author":"Wang"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/13\/11\/113036"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.119.050504"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1038\/s41590-019-0432-z"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1093\/intimm\/10.6.711"},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1007\/s11693-011-9081-8"},{"key":"ref91","doi-asserted-by":"publisher","DOI":"10.3389\/fphy.2015.00077"},{"key":"ref92","doi-asserted-by":"publisher","DOI":"10.1038\/nrn3950"},{"key":"ref93","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.2016.0011"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1093\/scan\/nsx060"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1080\/00207727008920220"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1007\/s10539-020-09746-2"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199682737.001.0001"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.1111\/nous.12062"},{"key":"ref99","doi-asserted-by":"publisher","DOI":"10.1038\/s41562-017-0069"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2011.00395"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.1016\/j.tics.2013.09.007"},{"key":"ref102","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.2016.0007"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.3389\/fnsys.2022.768201"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2016.0555"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1016\/j.cell.2008.01.040"},{"key":"ref106","volume-title":"Collective intelligence of morphogenesis as a teleonomic process","author":"Levin","year":"2022"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.3390\/ijms24010285"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1016\/j.isci.2019.11.014"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1093\/biolinnean\/blac073"}],"container-title":["IEEE Transactions on Molecular, Biological and Multi-Scale Communications"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6687308\/10157988\/10113744.pdf?arnumber=10113744","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T04:07:46Z","timestamp":1709266066000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10113744\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6]]},"references-count":109,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tmbmc.2023.3272158","relation":{},"ISSN":["2372-2061","2332-7804"],"issn-type":[{"value":"2372-2061","type":"electronic"},{"value":"2332-7804","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6]]}}}