{"id":"https://openalex.org/W4396232133","doi":"https://doi.org/10.3390/e26050370","title":"Intrinsic Information-Theoretic Models","display_name":"Intrinsic Information-Theoretic Models","publication_year":2024,"publication_date":"2024-04-28","ids":{"openalex":"https://openalex.org/W4396232133","doi":"https://doi.org/10.3390/e26050370","pmid":"https://pubmed.ncbi.nlm.nih.gov/38785619"},"language":"en","primary_location":{"id":"doi:10.3390/e26050370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26050370","pdf_url":"https://www.mdpi.com/1099-4300/26/5/370/pdf?version=1714383997","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/1099-4300/26/5/370/pdf?version=1714383997","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061118268","display_name":"David Bernal\u2010Casas","orcid":"https://orcid.org/0000-0002-4623-5935"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"D. Bernal-Casas","raw_affiliation_strings":["Department of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4623-5935","affiliations":[{"raw_affiliation_string":"Department of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041241730","display_name":"Josep M. Oller","orcid":"https://orcid.org/0000-0002-9643-4406"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Oller","raw_affiliation_strings":["Department of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9643-4406","affiliations":[{"raw_affiliation_string":"Department of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061118268"],"corresponding_institution_ids":["https://openalex.org/I71999127"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7715,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68033344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"26","issue":"5","first_page":"370","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9825000166893005,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9575999975204468,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/mathematics","display_name":"Mathematics","score":0.6208914518356323},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.570599377155304},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5289129018783569},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.49271300435066223},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.4663151204586029},{"id":"https://openalex.org/keywords/quantum-harmonic-oscillator","display_name":"Quantum harmonic oscillator","score":0.45348307490348816},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4493369460105896},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.4397156238555908},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4324195981025696},{"id":"https://openalex.org/keywords/statistical-distance","display_name":"Statistical distance","score":0.4179309010505676},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3749932050704956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3548309803009033},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3537399172782898},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3324251174926758}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6208914518356323},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.570599377155304},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5289129018783569},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49271300435066223},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.4663151204586029},{"id":"https://openalex.org/C122332657","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Quantum harmonic oscillator","level":3,"score":0.45348307490348816},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4493369460105896},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.4397156238555908},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4324195981025696},{"id":"https://openalex.org/C58948655","wikidata":"https://www.wikidata.org/wiki/Q7604392","display_name":"Statistical distance","level":3,"score":0.4179309010505676},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3749932050704956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3548309803009033},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3537399172782898},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3324251174926758}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e26050370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26050370","pdf_url":"https://www.mdpi.com/1099-4300/26/5/370/pdf?version=1714383997","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:38785619","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38785619","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":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11119449","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11119449","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11119449/pdf/entropy-26-00370.pdf","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:diposit.ub.edu:2445/222588","is_oa":true,"landing_page_url":"https://hdl.handle.net/2445/222588","pdf_url":null,"source":{"id":"https://openalex.org/S4306401653","display_name":"Dip\u00f2sit Digital de la Universitat de Barcelona (Universitat de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71999127","host_organization_name":"Universitat de Barcelona","host_organization_lineage":["https://openalex.org/I71999127"],"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":"Articles publicats en revistes (Gen\u00e8tica, Microbiologia i Estad\u00edstica)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:0dfceda747414b37b6f0bb10b5bfeeff","is_oa":true,"landing_page_url":"https://doaj.org/article/0dfceda747414b37b6f0bb10b5bfeeff","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 26, Iss 5, p 370 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26050370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26050370","pdf_url":"https://www.mdpi.com/1099-4300/26/5/370/pdf?version=1714383997","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":0.6299999952316284,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396232133.pdf","grobid_xml":"https://content.openalex.org/works/W4396232133.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1540596182","https://openalex.org/W2006681603","https://openalex.org/W2056474482","https://openalex.org/W2067134006","https://openalex.org/W2084840427","https://openalex.org/W2156744629","https://openalex.org/W2411921399","https://openalex.org/W4245439180","https://openalex.org/W4293005804","https://openalex.org/W4362230038","https://openalex.org/W4387638629","https://openalex.org/W6632267817","https://openalex.org/W6652287312","https://openalex.org/W6671679412","https://openalex.org/W6715097780"],"related_works":["https://openalex.org/W2384257574","https://openalex.org/W106320734","https://openalex.org/W2269459425","https://openalex.org/W2517016292","https://openalex.org/W3183408690","https://openalex.org/W2013238018","https://openalex.org/W2512579123","https://openalex.org/W2351970798","https://openalex.org/W2288202284","https://openalex.org/W4312306236"],"abstract_inverted_index":{"With":[0],"this":[1],"follow-up":[2],"paper,":[3],"we":[4,35,62,75,115,157,207],"continue":[5],"developing":[6,292],"a":[7,53,80,87,220,253],"mathematical":[8,271],"framework":[9],"based":[10],"on":[11],"information":[12,39,120,246],"geometry":[13],"for":[14,27,127,247,291],"representing":[15],"physical":[16],"objects.":[17],"The":[18],"long-term":[19],"goal":[20],"is":[21],"to":[22,59,100,104,142,167,269,281],"lay":[23],"down":[24],"informational":[25],"foundations":[26],"physics,":[28],"especially":[29],"quantum":[30,123,177,224],"physics.":[31,293],"We":[32],"assume":[33],"that":[34,159,209],"can":[36,116],"now":[37],"model":[38,76],"sources":[40,71,78,244],"as":[41,49,148,252],"univariate":[42],"normal":[43,82],"probability":[44,83,212,236],"distributions":[45],"N":[46],"(\u03bc,":[47],"\u03c30),":[48],"before,":[50],"but":[51],"with":[52,79,86,96,131,153],"constant":[54,88],"\u03c30":[55],"not":[56,92],"necessarily":[57,93],"equal":[58],"1.":[60],"Then,":[61],"also":[63],"relaxed":[64],"the":[65,105,119,136,143,154,160,163,168,172,176,181,187,192,196,202,210,216,228,234,243,255,259,270,273,282],"independence":[66],"condition":[67],"when":[68],"modeling":[69],"m":[70,77,122,223],"of":[72,107,135,138,145,162,175,191,215,219,222,245,258,284],"information.":[73],"Now,":[74],"multivariate":[81],"distribution":[84,237],"Nm(\u03bc,\u03a30)":[85],"variance\u2013covariance":[89],"matrix":[90],"\u03a30":[91],"diagonal,":[94],"i.e.,":[95],"covariance":[97],"values":[98,137],"different":[99],"0,":[101],"which":[102,288],"leads":[103],"concept":[106,144,283],"modes":[108],"rather":[109],"than":[110],"sources.":[111],"Invoking":[112],"Schr\u00f6dinger\u2019s":[113],"equation,":[114],"still":[117,232],"break":[118],"into":[121],"harmonic":[124,178,225],"oscillators,":[125],"one":[126],"each":[128],"mode,":[129],"and":[130,194],"energy":[132,173,189,204,230],"levels":[133,174],"independent":[134],"\u03c30,":[139],"altogether":[140],"leading":[141,280],"\u201cintrinsic\u201d.":[146],"Similarly,":[147],"in":[149],"our":[150],"previous":[151],"work":[152],"estimator\u2019s":[155],"variance,":[156],"found":[158],"expectation":[161],"quadratic":[164,183],"Mahalanobis":[165,184],"distance":[166,185],"sample":[169],"mean":[170],"equals":[171,233],"oscillator,":[179],"being":[180],"minimum":[182,188],"at":[186,201,227],"level":[190,231],"oscillator":[193],"reaching":[195],"\u201cintrinsic\u201d":[197,285],"Cram\u00e9r\u2013Rao":[198],"lower":[199],"bound":[200],"lowest":[203,229],"level.":[205],"Also,":[206],"demonstrate":[208],"global":[211],"density":[213],"function":[214],"collective":[217],"mode":[218],"set":[221],"oscillators":[226],"posterior":[235],"calculated":[238],"using":[239],"Bayes\u2019":[240],"theorem":[241],"from":[242],"all":[248],"data":[249],"values,":[250],"taking":[251],"prior":[254],"Riemannian":[256],"volume":[257],"informative":[260],"metric.":[261],"While":[262],"these":[263],"new":[264],"assumptions":[265],"certainly":[266],"add":[267],"complexity":[268],"framework,":[272],"results":[274],"proven":[275],"are":[276,289],"invariant":[277],"under":[278],"transformations,":[279],"information-theoretic":[286],"models,":[287],"essential":[290]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
