{"id":"https://openalex.org/W7204948275","doi":"https://doi.org/10.48550/arxiv.2608.30231","title":"\"More Is Different'' in Neural Circuits: Algebraic Emergence of Effective Theories in Canonical Recurrent Motifs of Biological Neuronal Networks","display_name":"\"More Is Different'' in Neural Circuits: Algebraic Emergence of Effective Theories in Canonical Recurrent Motifs of Biological Neuronal Networks","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204948275","doi":"https://doi.org/10.48550/arxiv.2608.30231"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.30231","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30231","pdf_url":"https://arxiv.org/pdf/2608.30231","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.30231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003949897","display_name":"Nima Dehghani","orcid":"https://orcid.org/0000-0003-2032-8903","observed_orcids":["https://orcid.org/0000-0003-2032-8903"]},"institutions":[{"id":"https://openalex.org/I144112489","display_name":"McGovern Institute for Brain Research","ror":"https://ror.org/05ymca674","country_code":"US","type":"facility","lineage":["https://openalex.org/I144112489","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I4210160315","display_name":"The NSF AI Institute for Artificial Intelligence and Fundamental Interactions","ror":"https://ror.org/04pvzz946","country_code":"US","type":"facility","lineage":["https://openalex.org/I121934306","https://openalex.org/I12912129","https://openalex.org/I136199984","https://openalex.org/I4210160315","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dehghani, Nima","raw_affiliation_strings":[") McGovern Institute for Brain Research , Massachusetts Institute of Technology , Cambridge , Massachusetts , USA",") The NSF AI Institute for Artificial Intelligence and Fundamental Interactions (IAIFI) , Cambridge , Massachusetts , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") McGovern Institute for Brain Research , Massachusetts Institute of Technology , Cambridge , Massachusetts , USA","institution_ids":["https://openalex.org/I144112489","https://openalex.org/I63966007"]},{"raw_affiliation_string":") The NSF AI Institute for Artificial Intelligence and Fundamental Interactions (IAIFI) , Cambridge , Massachusetts , USA","institution_ids":["https://openalex.org/I4210160315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003949897"],"corresponding_institution_ids":["https://openalex.org/I144112489","https://openalex.org/I4210160315","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.6791999936103821,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.6791999936103821,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.14249999821186066,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.05350000038743019,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/winner-take-all-competition","display_name":"winner-take-all competition","score":0.8420000076293945},{"id":"https://openalex.org/keywords/divisive-normalization","display_name":"divisive normalization","score":0.9990000128746033},{"id":"https://openalex.org/keywords/recurrent-neural-networks","display_name":"recurrent neural networks","score":0.6209999918937683},{"id":"https://openalex.org/keywords/dissipative-dynamics","display_name":"dissipative dynamics","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.621999979019165},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5774000287055969},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5515000224113464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5131000280380249},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.4690000116825104},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.444599986076355},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4350999891757965},{"id":"https://openalex.org/C169453685","wikidata":"https://www.wikidata.org/wiki/Q1054066","display_name":"Central pattern generator","level":3,"score":0.4348999857902527},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.3986000120639801},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3871000111103058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38260000944137573},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.3684000074863434},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35850000381469727},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.3456999957561493},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.34549999237060547},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.33709999918937683},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3303000032901764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32710000872612},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31869998574256897},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.3125999867916107},{"id":"https://openalex.org/C157202957","wikidata":"https://www.wikidata.org/wiki/Q1659609","display_name":"Image warping","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C2778473898","wikidata":"https://www.wikidata.org/wiki/Q2145110","display_name":"Repertoire","level":2,"score":0.30149999260902405},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.2915000021457672},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.25290000438690186}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.30231","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30231","pdf_url":"https://arxiv.org/pdf/2608.30231","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.30231","doi":"https://doi.org/10.48550/arxiv.2608.30231","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.30231","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.30231","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30231","pdf_url":"https://arxiv.org/pdf/2608.30231","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204948275.pdf","grobid_xml":"https://content.openalex.org/works/W7204948275.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4400462656","https://openalex.org/W7164526607","https://openalex.org/W6922693770","https://openalex.org/W2977224948","https://openalex.org/W6922465368","https://openalex.org/W7099620642","https://openalex.org/W2591703420","https://openalex.org/W6903629862","https://openalex.org/W7165114367","https://openalex.org/W7064784043"],"abstract_inverted_index":{"Canonical":[0],"neural":[1,211],"circuit":[2],"motifs":[3,206],"are":[4,207,251],"usually":[5],"described":[6],"functionally:":[7],"divisive":[8],"normalization":[9,137],"rescales":[10],"population":[11],"activity":[12],"by":[13,46],"a":[14,55,66,80,115,130,157,194,202,216,242],"pooled":[15],"signal,":[16],"and":[17,26,32,40,139,169,223],"winner-take-all":[18],"competition":[19],"selects":[20],"one":[21,73,220],"pattern":[22],"through":[23,62],"recurrent":[24],"excitation":[25],"shared":[27],"inhibition.":[28],"We":[29],"represent":[30],"them,":[31],"their":[33,47,255],"compositions,":[34],"algebraically":[35],"as":[36,156],"finite":[37],"transformation":[38,253],"systems":[39],"analyze":[41],"the":[42,91,140,161,179,190,197,227,231],"transition":[43,235],"monoids":[44],"generated":[45,228],"input-conditioned":[48],"updates,":[49],"distinguishing":[50],"structure":[51,58,70,76],"already":[52],"present":[53],"in":[54,122,135],"generator":[56,95,149],"from":[57,72,75],"that":[59,77,189,226,238],"appears":[60],"only":[61],"composition,":[63],"and,":[64],"on":[65,79,175],"joint":[67,81,176],"state":[68,138,143],"space,":[69],"inherited":[71],"factor":[74],"lives":[78],"configuration.":[82],"Individually":[83],"aperiodic":[84],"updates":[85],"can":[86,260],"generate":[87],"non-aperiodic":[88],"monoids.":[89],"In":[90],"WTA,":[92],"every":[93,147],"frozen-drive":[94],"collapses":[96],"to":[97,245,263],"fixed":[98],"points,":[99],"yet":[100],"short":[101],"input":[102],"sequences":[103],"create":[104],"local":[105,133],"cycles":[106],"of":[107,160,196,201,210,218],"winner-dependent":[108],"inhibitory":[109],"gating:":[110],"globally":[111],"dissipative":[112],"dynamics":[113],"with":[114],"reversible":[116],"action.":[117],"The":[118,125,234],"strongest":[119],"result":[120],"arises":[121],"WTA-to-DN":[123],"composition.":[124],"composed":[126],"monoid":[127,236],"then":[128],"contains":[129],"genuinely":[131],"composite":[132,191],"cycle":[134,192],"which":[136],"winner's":[141],"gating":[142],"change":[144],"together,":[145],"although":[146],"primitive":[148,243],"is":[150,193,215,237],"aperiodic.":[151],"Holonomy":[152],"analysis":[153],"certifies":[154],"this":[155],"group":[158],"component":[159],"Krohn-Rhodes":[162],"cascade":[163],"rather":[164,199],"than":[165,200],"an":[166],"incidental":[167],"cycle,":[168],"finds":[170],"most":[171],"group-carrying":[172],"image":[173],"sets":[174],"configurations,":[177],"whereas":[178],"uncoupled":[180],"product":[181],"has":[182,230],"none.":[183],"An":[184],"exhaustive":[185],"interface":[186],"sweep":[187],"shows":[188],"property":[195],"coupling":[198],"chosen":[203],"map.":[204],"If":[205],"building":[208],"blocks":[209],"computation,":[212],"composing":[213],"them":[214],"form":[217],"programming:":[219],"chooses":[221],"primitives":[222],"interfaces":[224],"so":[225],"algebra":[229,256],"intended":[232],"repertoire.":[233],"repertoire":[239],"-":[240],"what":[241,258],"presents":[244],"any":[246],"later":[247],"construction.":[248],"Recurrent":[249],"circuits":[250],"compositional":[252],"systems;":[254],"constrains":[257],"they":[259],"be":[261],"programmed":[262],"compute.":[264]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-09-02T00:00:00"}