{"id":"https://openalex.org/W4394973343","doi":"https://doi.org/10.48550/arxiv.2404.11768","title":"Tensor-Networks-based Learning of Probabilistic Cellular Automata\n Dynamics","display_name":"Tensor-Networks-based Learning of Probabilistic Cellular Automata\n Dynamics","publication_year":2024,"publication_date":"2024-04-17","ids":{"openalex":"https://openalex.org/W4394973343","doi":"https://doi.org/10.48550/arxiv.2404.11768"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.11768","pdf_url":"http://arxiv.org/pdf/2404.11768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2404.11768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078713862","display_name":"Heitor P. Casagrande","orcid":"https://orcid.org/0000-0003-0247-339X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Casagrande, Heitor P.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068429422","display_name":"Bo Xing","orcid":"https://orcid.org/0000-0002-9651-5505"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xing, Bo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022295690","display_name":"William J. Munro","orcid":"https://orcid.org/0000-0003-1835-2250"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Munro, William J.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026199611","display_name":"Chu Guo","orcid":"https://orcid.org/0000-0002-3411-3076"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo, Chu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028788463","display_name":"Dario Poletti","orcid":"https://orcid.org/0000-0001-5626-0176"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Poletti, Dario","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":78},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9995,"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":0.9995,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9693,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9407,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics","score":0.7274605}],"concepts":[{"id":"https://openalex.org/C192499940","wikidata":"https://www.wikidata.org/wiki/Q17022326","display_name":"Stochastic cellular automaton","level":3,"score":0.76737624},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.7470532},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.7274605},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5834185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.57535523},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.55122834},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.52728826},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.42071718},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3410975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27744204},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.17407963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16403306},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.11768","pdf_url":"http://arxiv.org/pdf/2404.11768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.11768","pdf_url":"http://arxiv.org/pdf/2404.11768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4255696416","https://openalex.org/W4211227983","https://openalex.org/W3208503416","https://openalex.org/W3178597981","https://openalex.org/W2147358629","https://openalex.org/W2064715443","https://openalex.org/W2028377826","https://openalex.org/W2023344115","https://openalex.org/W2007974154","https://openalex.org/W1969391024"],"abstract_inverted_index":{"Algorithms":[0],"developed":[1],"to":[2,16,36,77,86,122],"solve":[3],"many-body":[4,38],"quantum":[5,39,67],"problems,":[6],"like":[7],"tensor":[8],"networks,":[9],"can":[10,54,93],"turn":[11],"into":[12],"powerful":[13],"quantum-inspired":[14],"tools":[15],"tackle":[17],"problems":[18],"in":[19,42,100],"the":[20,105,120,130,134,144],"classical":[21],"domain.":[22],"In":[23,115],"this":[24,84],"work,":[25],"we":[26,117],"focus":[27],"on":[28],"matrix":[29,73],"product":[30,74],"operators,":[31],"a":[32,52,72,108,127],"prominent":[33],"numerical":[34],"technique":[35],"study":[37],"systems,":[40],"especially":[41],"one":[43,138],"dimension.":[44],"It":[45],"has":[46],"been":[47],"previously":[48],"shown":[49],"that":[50,119],"such":[51],"tool":[53],"be":[55],"used":[56],"for":[57],"classification,":[58],"learning":[59],"of":[60,65,111,129],"deterministic":[61],"sequence-to-sequence":[62,80],"processes":[63,81,99],"and":[64,82,136],"generic":[66],"processes.":[68],"We":[69],"further":[70],"develop":[71],"operator":[75],"algorithm":[76,85],"learn":[78,95,123],"probabilistic":[79,87,96,109],"apply":[83],"cellular":[88,97],"automata.":[89],"This":[90],"new":[91],"approach":[92],"accurately":[94],"automata":[98],"different":[101,112],"conditions,":[102],"even":[103],"when":[104],"process":[106],"is":[107,126,139],"mixture":[110],"chaotic":[113],"rules.":[114],"addition,":[116],"find":[118],"ability":[121],"these":[124],"dynamics":[125],"function":[128],"bit-wise":[131],"difference":[132],"between":[133],"rules":[135],"whether":[137],"much":[140],"more":[141],"likely":[142],"than":[143],"other.":[145]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4394973343","counts_by_year":[],"updated_date":"2025-04-04T10:55:37.824327","created_date":"2024-04-20"}