{"id":"https://openalex.org/W7127272854","doi":"https://doi.org/10.48550/arxiv.2602.01651","title":"On the Spatiotemporal Dynamics of Generalization in Neural Networks","display_name":"On the Spatiotemporal Dynamics of Generalization in Neural Networks","publication_year":2026,"publication_date":"2026-02-02","ids":{"openalex":"https://openalex.org/W7127272854","doi":"https://doi.org/10.48550/arxiv.2602.01651"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.01651","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","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":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102648791","display_name":"Zichao Wei","orcid":"https://orcid.org/0009-0007-5718-3935"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wei, Zichao","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102648791"],"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/T12162","display_name":"Cellular Automata and Applications","score":0.4228000044822693,"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/T12162","display_name":"Cellular Automata and Applications","score":0.4228000044822693,"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":0.10790000110864639,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.03929999843239784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6898000240325928},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5476999878883362},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.527400016784668},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.47040000557899475},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4675999879837036},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4131999909877777},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.39879998564720154},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.3953999876976013},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.3386000096797943}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6898000240325928},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5476999878883362},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.527400016784668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47690001130104065},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.47040000557899475},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4675999879837036},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4366999864578247},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4131999909877777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40209999680519104},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.39879998564720154},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3926999866962433},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3386000096797943},{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C58315980","wikidata":"https://www.wikidata.org/wiki/Q179436","display_name":"Asymptote","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31619998812675476},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.3147999942302704},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C3832189","wikidata":"https://www.wikidata.org/wiki/Q8588916","display_name":"Models of neural computation","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C19273510","wikidata":"https://www.wikidata.org/wiki/Q263847","display_name":"Artificial life","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.28610000014305115},{"id":"https://openalex.org/C193261270","wikidata":"https://www.wikidata.org/wiki/Q1875447","display_name":"Elementary cellular automaton","level":5,"score":0.27129998803138733},{"id":"https://openalex.org/C168460219","wikidata":"https://www.wikidata.org/wiki/Q1502167","display_name":"Iterated function system","level":3,"score":0.25839999318122864},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.01651","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.01651","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.01651","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":"pmh:doi:10.48550/arxiv.2602.01651","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","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":{"Why":[0],"do":[1],"neural":[2,110],"networks":[3],"fail":[4],"to":[5,10,23,84,146],"generalize":[6],"addition":[7],"from":[8,45,144],"16-digit":[9],"32-digit":[11],"numbers,":[12],"while":[13],"a":[14,38,109,160],"child":[15],"who":[16],"learns":[17],"the":[18,68,81,101,171,190],"rule":[19],"can":[20,179],"apply":[21],"it":[22],"arbitrarily":[24],"long":[25],"sequences?":[26],"We":[27],"argue":[28],"that":[29,51,87,170],"this":[30],"failure":[31],"is":[32],"not":[33,183],"an":[34],"engineering":[35],"problem":[36],"but":[37,187],"violation":[39],"of":[40,70,192],"physical":[41],"postulates.":[42],"Drawing":[43],"inspiration":[44],"physics,":[46],"we":[47,94],"identify":[48],"three":[49,123],"constraints":[50],"any":[52],"generalizing":[53],"system":[54,82],"must":[55],"satisfy:":[56],"(1)":[57,128],"Locality":[58],"--":[59,67,80,96,100,130,140,158,182],"information":[60],"propagates":[61],"at":[62],"finite":[63],"speed;":[64],"(2)":[65,138],"Symmetry":[66],"laws":[69],"computation":[71],"are":[72,117],"invariant":[73],"across":[74],"space":[75],"and":[76,176],"time;":[77],"(3)":[78,155],"Stability":[79],"converges":[83],"discrete":[85],"attractors":[86],"resist":[88],"noise":[89],"accumulation.":[90],"From":[91],"these":[92],"postulates,":[93],"derive":[95],"rather":[97],"than":[98],"design":[99],"Spatiotemporal":[102],"Evolution":[103],"with":[104,149],"Attractor":[105],"Dynamics":[106],"(SEAD)":[107],"architecture:":[108],"cellular":[111,162],"automaton":[112,163],"where":[113],"local":[114],"convolutional":[115],"rules":[116],"iterated":[118],"until":[119],"convergence.":[120],"Experiments":[121],"on":[122],"tasks":[124],"validate":[125],"our":[126],"theory:":[127],"Parity":[129],"demonstrating":[131],"perfect":[132],"length":[133],"generalization":[134],"via":[135],"light-cone":[136],"propagation;":[137],"Addition":[139],"achieving":[141],"scale-invariant":[142],"inference":[143],"L=16":[145],"L=1":[147],"million":[148],"100%":[150],"accuracy,":[151],"exhibiting":[152],"input-adaptive":[153],"computation;":[154],"Rule":[156],"110":[157],"learning":[159,175],"Turing-complete":[161],"without":[164],"trajectory":[165],"divergence.":[166],"Our":[167],"results":[168],"suggest":[169],"gap":[172],"between":[173],"statistical":[174],"logical":[177],"reasoning":[178],"be":[180],"bridged":[181],"by":[184,188],"scaling":[185],"parameters,":[186],"respecting":[189],"physics":[191],"computation.":[193]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-04T00:00:00"}