{"id":"https://openalex.org/W4389615206","doi":"https://doi.org/10.3390/e25121649","title":"The Capabilities of Boltzmann Machines to Detect and Reconstruct Ising System\u2019s Configurations from a Given Temperature","display_name":"The Capabilities of Boltzmann Machines to Detect and Reconstruct Ising System\u2019s Configurations from a Given Temperature","publication_year":2023,"publication_date":"2023-12-12","ids":{"openalex":"https://openalex.org/W4389615206","doi":"https://doi.org/10.3390/e25121649","pmid":"https://pubmed.ncbi.nlm.nih.gov/38136529"},"language":"en","primary_location":{"id":"doi:10.3390/e25121649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121649","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1649/pdf?version=1702385581","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/12/1649/pdf?version=1702385581","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073066295","display_name":"Mauricio A. Valle","orcid":"https://orcid.org/0000-0003-1362-2776"},"institutions":[{"id":"https://openalex.org/I4210113179","display_name":"Finis Terrae University","ror":"https://ror.org/0225snd59","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210113179"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Mauricio A. Valle","raw_affiliation_strings":["Facultad de Econom\u00eda y Negocios, Universidad Finis Terrae, Santiago 7501015, Chile"],"raw_orcid":"https://orcid.org/0000-0003-1362-2776","affiliations":[{"raw_affiliation_string":"Facultad de Econom\u00eda y Negocios, Universidad Finis Terrae, Santiago 7501015, Chile","institution_ids":["https://openalex.org/I4210113179"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073066295"],"corresponding_institution_ids":["https://openalex.org/I4210113179"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2224},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2224},"fwci":0.2852,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52342792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"25","issue":"12","first_page":"1649","last_page":"1649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.994700014591217,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boltzmann-machine","display_name":"Boltzmann machine","score":0.83475261926651},{"id":"https://openalex.org/keywords/restricted-boltzmann-machine","display_name":"Restricted Boltzmann machine","score":0.7127904891967773},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7118052840232849},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6362712383270264},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5823318958282471},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5604345202445984},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5313758254051208},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5016703605651855},{"id":"https://openalex.org/keywords/boltzmann-distribution","display_name":"Boltzmann distribution","score":0.49396878480911255},{"id":"https://openalex.org/keywords/bimodality","display_name":"Bimodality","score":0.49307915568351746},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.47083473205566406},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4350596070289612},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.42827892303466797},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4239412248134613},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4151199758052826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3643375039100647},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28021132946014404},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.2362893521785736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21341142058372498}],"concepts":[{"id":"https://openalex.org/C192576344","wikidata":"https://www.wikidata.org/wiki/Q194706","display_name":"Boltzmann machine","level":3,"score":0.83475261926651},{"id":"https://openalex.org/C199354608","wikidata":"https://www.wikidata.org/wiki/Q7316287","display_name":"Restricted Boltzmann machine","level":3,"score":0.7127904891967773},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7118052840232849},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6362712383270264},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5823318958282471},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5604345202445984},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5313758254051208},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5016703605651855},{"id":"https://openalex.org/C193999330","wikidata":"https://www.wikidata.org/wiki/Q834200","display_name":"Boltzmann distribution","level":2,"score":0.49396878480911255},{"id":"https://openalex.org/C2779287300","wikidata":"https://www.wikidata.org/wiki/Q4913752","display_name":"Bimodality","level":3,"score":0.49307915568351746},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.47083473205566406},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4350596070289612},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.42827892303466797},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4239412248134613},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4151199758052826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3643375039100647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28021132946014404},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.2362893521785736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21341142058372498},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e25121649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121649","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1649/pdf?version=1702385581","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:38136529","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38136529","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:10743234","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10743234","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:06d7dd85a21b4d789e740a411b32d1f4","is_oa":true,"landing_page_url":"https://doaj.org/article/06d7dd85a21b4d789e740a411b32d1f4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 12, p 1649 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e25121649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121649","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1649/pdf?version=1702385581","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389615206.pdf","grobid_xml":"https://content.openalex.org/works/W4389615206.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1576278180","https://openalex.org/W1666636243","https://openalex.org/W2020999234","https://openalex.org/W2024060531","https://openalex.org/W2064487597","https://openalex.org/W2074670256","https://openalex.org/W2100495367","https://openalex.org/W2116064496","https://openalex.org/W2116825644","https://openalex.org/W2134135301","https://openalex.org/W2156740722","https://openalex.org/W2414456771","https://openalex.org/W2418689459","https://openalex.org/W2592477384","https://openalex.org/W2594041373","https://openalex.org/W2623750799","https://openalex.org/W2729405303","https://openalex.org/W2749945115","https://openalex.org/W2757312963","https://openalex.org/W2784444004","https://openalex.org/W2895876826","https://openalex.org/W2896078892","https://openalex.org/W2898248759","https://openalex.org/W2914341699","https://openalex.org/W2951696038","https://openalex.org/W2963288922","https://openalex.org/W2964060681","https://openalex.org/W3000556538","https://openalex.org/W3004953731","https://openalex.org/W3012588797","https://openalex.org/W3043381407","https://openalex.org/W3046621341","https://openalex.org/W3047055916","https://openalex.org/W3048538557","https://openalex.org/W3099715882","https://openalex.org/W3100475457","https://openalex.org/W3123745232","https://openalex.org/W3138221355","https://openalex.org/W3164698142","https://openalex.org/W4255825300","https://openalex.org/W4283460035","https://openalex.org/W4301178504","https://openalex.org/W4309569917","https://openalex.org/W4362606863","https://openalex.org/W6660690085","https://openalex.org/W6726802547","https://openalex.org/W6743187153","https://openalex.org/W6795620355"],"related_works":["https://openalex.org/W2028660548","https://openalex.org/W3040536474","https://openalex.org/W4318977947","https://openalex.org/W2747523828","https://openalex.org/W2128418474","https://openalex.org/W4210280497","https://openalex.org/W188039180","https://openalex.org/W2402196265","https://openalex.org/W2105556268","https://openalex.org/W2418689459"],"abstract_inverted_index":{"The":[0,93,179],"restricted":[1],"Boltzmann":[2],"machine":[3,18,71],"(RBM)":[4],"is":[5,47,114,166],"a":[6,84,102,116,175],"generative":[7],"neural":[8,163],"network":[9,164],"that":[10,96,198],"can":[11,185],"learn":[12],"in":[13,115,132,161,195],"an":[14,44,120],"unsupervised":[15],"way.":[16],"This":[17],"has":[19],"been":[20],"proven":[21],"to":[22,30,59,72,80,105,168],"help":[23,200],"understand":[24],"complex":[25],"systems,":[26],"using":[27,57],"its":[28,78],"ability":[29,68,79],"generate":[31],"samples":[32],"of":[33,69,86,127,129,135,152,155,182],"the":[34,37,67,70,97,106,112,123,130,133,139,144,148,153,156,158,162,171,183],"system":[35,46,74,113,187],"with":[36,143],"same":[38],"observed":[39],"distribution.":[40],"In":[41,119],"this":[42],"work,":[43],"Ising":[45],"simulated,":[48],"creating":[49],"configurations":[50,75,87,100,131,172,188],"via":[51],"Monte":[52],"Carlo":[53],"sampling":[54],"and":[55,76],"then":[56],"them":[58],"train":[60],"RBMs":[61],"at":[62,88,189],"different":[63,190],"temperatures.":[64],"Then,":[65],"1.":[66],"reconstruct":[73],"2.":[77],"be":[81],"used":[82],"as":[83],"detector":[85],"specific":[89],"temperatures":[90],"are":[91],"evaluated.":[92],"results":[94],"indicate":[95],"RBM":[98,124,184],"reconstructs":[99],"following":[101],"distribution":[103],"similar":[104],"original":[107],"one,":[108],"but":[109],"only":[110],"when":[111,138],"disordered":[117],"phase.":[118],"ordered":[121],"phase,":[122],"faces":[125],"levels":[126],"irreproducibility":[128],"presence":[134],"bimodality,":[136],"even":[137],"physical":[140],"observables":[141],"agree":[142],"theoretical":[145],"ones.":[146],"On":[147],"other":[149],"hand,":[150],"independent":[151],"phase":[154],"system,":[157],"information":[159],"embodied":[160],"weights":[165],"sufficient":[167],"discriminate":[169,186],"whether":[170],"come":[173],"from":[174],"given":[176],"temperature":[177],"well.":[178],"learned":[180],"representations":[181],"temperatures,":[191],"promising":[192],"interesting":[193],"applications":[194],"real":[196],"systems":[197],"could":[199],"recognize":[201],"crossover":[202],"phenomena.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}