{"id":"https://openalex.org/W7110895634","doi":"https://doi.org/10.48550/arxiv.2512.07458","title":"Optimized Machine Learning Methods for Studying the Thermodynamic Behavior of Complex Spin Systems","display_name":"Optimized Machine Learning Methods for Studying the Thermodynamic Behavior of Complex Spin Systems","publication_year":2025,"publication_date":"2025-12-08","ids":{"openalex":"https://openalex.org/W7110895634","doi":"https://doi.org/10.48550/arxiv.2512.07458"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2512.07458","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.07458","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,"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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2512.07458","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kapitan, Dmitrii","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kapitan, Dmitrii","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Ovchinnikov, Pavel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ovchinnikov, Pavel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Soldatov, Konstantin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Soldatov, Konstantin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Andriushchenko, Petr","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andriushchenko, Petr","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Kapitan, Vitalii","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kapitan, Vitalii","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"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":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/T10591","display_name":"Theoretical and Computational Physics","score":0.4300000071525574,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.4300000071525574,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.263700008392334,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.13410000503063202,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7993000149726868},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.4413999915122986},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"Ferromagnetism","score":0.43459999561309814},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.4336000084877014},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4219000041484833},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.3783000111579895},{"id":"https://openalex.org/keywords/classifier","display_name":"Classifier (UML)","score":0.3449999988079071},{"id":"https://openalex.org/keywords/cluster-expansion","display_name":"Cluster expansion","score":0.3427000045776367}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7993000149726868},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5608000159263611},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.4413999915122986},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.43459999561309814},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42579999566078186},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4066999852657318},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.3783000111579895},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3483999967575073},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.3449999988079071},{"id":"https://openalex.org/C2778999785","wikidata":"https://www.wikidata.org/wiki/Q5136697","display_name":"Cluster expansion","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3328000009059906},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.3276999890804291},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2978000044822693},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.29109999537467957},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.28780001401901245},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2808000147342682},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C49005734","wikidata":"https://www.wikidata.org/wiki/Q7581981","display_name":"Square-lattice Ising model","level":3,"score":0.27570000290870667},{"id":"https://openalex.org/C2780198381","wikidata":"https://www.wikidata.org/wiki/Q17083882","display_name":"Spin model","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.25619998574256897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2512.07458","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.07458","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,"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2512.07458","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.07458","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,"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":"Preprint"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6756165623664856,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,55,66],"systematic":[4],"study":[5],"of":[6,9,23,35,39,47,70,73,97,102,115,163],"the":[7,21,37,40,44,51,74,90,98,103,113,116,125,129,143,161],"application":[8],"convolutional":[10,68,139],"neural":[11],"networks":[12],"(CNNs)":[13],"as":[14],"an":[15],"efficient":[16],"and":[17,25,82,120,152,160],"versatile":[18],"tool":[19],"for":[20,50,128],"analysis":[22],"critical":[24,118,126],"low-temperature":[26],"phase":[27,71,105],"states":[28,72],"in":[29,112],"spin":[30],"system":[31],"models.":[32],"The":[33],"problem":[34],"calculating":[36],"dependence":[38],"average":[41],"energy":[42],"on":[43,54,78,86],"spatial":[45],"distribution":[46],"exchange":[48],"integrals":[49],"Edwards-Anderson":[52],"model":[53,77],"square":[56],"lattice":[57,131],"with":[58,148],"frustrated":[59],"interactions":[60],"is":[61,136],"considered.":[62],"We":[63],"further":[64],"construct":[65],"single":[67],"classifier":[69],"ferromagnetic":[75],"Ising":[76],"square,":[79],"triangular,":[80],"honeycomb,":[81],"kagome":[83,130],"lattices,":[84],"trained":[85],"configurations":[87],"generated":[88],"by":[89],"Swendsen-Wang":[91],"cluster":[92],"algorithm.":[93],"Computed":[94],"temperature":[95,127],"profiles":[96],"averaged":[99],"posterior":[100],"probability":[101],"high-temperature":[104],"form":[106],"clear":[107],"S-shaped":[108],"curves":[109],"that":[110,138],"intersect":[111],"vicinity":[114],"theoretical":[117],"temperatures":[119],"allow":[121],"one":[122],"to":[123],"determine":[124],"without":[132],"additional":[133],"retraining.":[134],"It":[135],"shown":[137],"models":[140],"substantially":[141],"reduce":[142],"root-mean-square":[144],"error":[145],"(RMSE)":[146],"compared":[147],"fully":[149],"connected":[150],"architectures":[151],"efficiently":[153],"capture":[154],"complex":[155],"correlations":[156],"between":[157],"thermodynamic":[158],"characteristics":[159],"structure":[162],"magnetic":[164],"correlated":[165],"systems.":[166]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-12-10T00:00:00"}
