{"id":"https://openalex.org/W7154222543","doi":"https://doi.org/10.48550/arxiv.2604.10639","title":"Visualising the Attractor Landscape of Neural Cellular Automata","display_name":"Visualising the Attractor Landscape of Neural Cellular Automata","publication_year":2026,"publication_date":"2026-04-12","ids":{"openalex":"https://openalex.org/W7154222543","doi":"https://doi.org/10.48550/arxiv.2604.10639"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.10639","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.10639","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.10639","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021911436","display_name":"James Stovold","orcid":"https://orcid.org/0000-0002-0708-2630"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stovold, James","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023021950","display_name":"Mia-Katrin Kvalsund","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kvalsund, Mia-Katrin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072881932","display_name":"Harald Ludwig","orcid":"https://orcid.org/0000-0002-2704-2556"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ludwig, Harald Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127588554","display_name":"Varun Sharma","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sharma, Varun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5022951041","display_name":"Alexander Mordvintsev","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mordvintsev, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5021911436"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.35690000653266907,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.35690000653266907,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.20399999618530273,"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"}},{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.058800000697374344,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.6552000045776367},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5985000133514404},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5479999780654907},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.5338000059127808},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4609000086784363},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.45989999175071716},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43790000677108765},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4052000045776367}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6607000231742859},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.6552000045776367},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5985000133514404},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5479999780654907},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5479999780654907},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.5338000059127808},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4964999854564667},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.45989999175071716},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43790000677108765},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.37439998984336853},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3215000033378601},{"id":"https://openalex.org/C2780977526","wikidata":"https://www.wikidata.org/wiki/Q42417149","display_name":"Data exploration","level":3,"score":0.3160000145435333},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2985000014305115},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.28839999437332153},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.287200003862381},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.2678000032901764},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C207850805","wikidata":"https://www.wikidata.org/wiki/Q269608","display_name":"Reverse engineering","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.10639","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.10639","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.10639","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.10639","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"As":[0],"Neural":[1],"Cellular":[2],"Automata":[3],"(NCAs)":[4],"are":[5,46,195],"increasingly":[6],"applied":[7],"outside":[8],"of":[9,43,51,75,88,178,202],"the":[10,41,80,121,142,151,176,186],"toy":[11],"models":[12],"in":[13,197],"Artificial":[14],"Life,":[15],"there":[16],"is":[17,134,154,168,188],"a":[18,49,73,137,147,171,182],"pressing":[19],"need":[20],"to":[21,27,31,62,77,93,119,199],"understand":[22,63],"how":[23],"they":[24,34],"behave":[25],"and":[26,84,104,107,158,162,191],"build":[28],"appropriate":[29],"routes":[30],"interpret":[32],"what":[33,64,89],"have":[35,59],"learnt.":[36,67],"By":[37],"their":[38],"very":[39],"nature,":[40],"benefits":[42],"training":[44],"NCAs":[45],"balanced":[47],"with":[48,111,126],"lack":[50],"interpretability:":[52],"we":[53,71],"can":[54,159],"engineer":[55],"emergent":[56],"behaviour,":[57],"but":[58],"limited":[60],"ability":[61],"has":[65,91],"been":[66],"In":[68],"this":[69],"paper,":[70],"apply":[72,96],"variety":[74],"techniques":[76,97,112,194],"pry":[78],"open":[79],"NCA":[81,144],"black":[82],"box":[83],"glean":[85],"some":[86],"understanding":[87],"it":[90],"learnt":[92],"do.":[94],"We":[95],"from":[98,113],"manifold":[99,153,187],"learning":[100],"(principal":[101],"components":[102],"analysis":[103,116,133,167],"both":[105],"dense":[106],"sparse":[108],"autoencoders)":[109],"along":[110],"topological":[114],"data":[115,149,184],"(persistent":[117],"homology)":[118],"capture":[120],"NCA's":[122],"underlying":[123,152],"behavioural":[124],"manifold,":[125],"varying":[127],"success.":[128],"Results":[129],"show":[130],"that":[131],"when":[132],"performed":[135,169],"at":[136,170],"macroscopic":[138],"level":[139,173],"(i.e.":[140,174],"taking":[141,175],"entire":[143],"state":[145,177],"as":[146,181],"single":[148,183],"point),":[150,185],"often":[155],"quite":[156,164],"simple":[157],"be":[160],"captured":[161],"analysed":[163],"well.":[165],"When":[166],"microscopic":[172],"individual":[179],"cells":[180],"highly":[189],"complex":[190],"more":[192],"complicated":[193],"required":[196],"order":[198],"make":[200],"sense":[201],"it.":[203]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-04-15T00:00:00"}
