{"id":"https://openalex.org/W2092430227","doi":"https://doi.org/10.1109/tit.2014.2307068","title":"A Bregman Matrix and the Gradient of Mutual Information for Vector Poisson and Gaussian Channels","display_name":"A Bregman Matrix and the Gradient of Mutual Information for Vector Poisson and Gaussian Channels","publication_year":2014,"publication_date":"2014-02-20","ids":{"openalex":"https://openalex.org/W2092430227","doi":"https://doi.org/10.1109/tit.2014.2307068","mag":"2092430227"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2307068","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tit.2014.2307068","pdf_url":"https://ieeexplore.ieee.org/ielx7/18/6800061/06746209.pdf","source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/18/6800061/06746209.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100328745","display_name":"Liming Wang","orcid":"https://orcid.org/0000-0003-3703-5891"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Liming Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052576907","display_name":"David Carlson","orcid":"https://orcid.org/0000-0003-1005-6385"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Edwin Carlson","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044634366","display_name":"Miguel R. D. Rodrigues","orcid":"https://orcid.org/0000-0002-8908-847X"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Miguel R. D. Rodrigues","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University College London, London, U.K","Dept. of Electron. & Electr. Eng, Univ. Coll. London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University College London, London, U.K","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Dept. of Electron. & Electr. Eng, Univ. Coll. London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037795370","display_name":"Robert Calderbank","orcid":"https://orcid.org/0000-0003-2084-9717"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Calderbank","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016448581","display_name":"Lawrence Carin","orcid":"https://orcid.org/0000-0001-6277-7948"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lawrence Carin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100328745"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":2.1126,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.87619689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"60","issue":"5","first_page":"2611","last_page":"2629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9997000098228455,"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":0.9997000098228455,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9957000017166138,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/bregman-divergence","display_name":"Bregman divergence","score":0.7627276182174683},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.7404537796974182},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5949185490608215},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5473010540008545},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4964068531990051},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48392874002456665},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4645964801311493},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4643251299858093},{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.4606803059577942},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4352586269378662},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.435258150100708},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.41703546047210693},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37111082673072815},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.37041646242141724},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36551153659820557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34285768866539},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27377554774284363},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23572859168052673},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13303568959236145},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0844387412071228}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.7627276182174683},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7404537796974182},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5949185490608215},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5473010540008545},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4964068531990051},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48392874002456665},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4645964801311493},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4643251299858093},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.4606803059577942},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4352586269378662},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.435258150100708},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41703546047210693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37111082673072815},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.37041646242141724},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36551153659820557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34285768866539},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27377554774284363},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23572859168052673},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13303568959236145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0844387412071228},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"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/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2014.2307068","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tit.2014.2307068","pdf_url":"https://ieeexplore.ieee.org/ielx7/18/6800061/06746209.pdf","source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1436700","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1436700/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   IEEE Transactions on Information Theory , 60  (5)   pp. 2611-2629.   (2014)      ","raw_type":"Article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1529535","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1529535/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   IEEE TRANSACTIONS ON INFORMATION THEORY , 60  (5)   pp. 2611-2629.   (2014)      ","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1109/tit.2014.2307068","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tit.2014.2307068","pdf_url":"https://ieeexplore.ieee.org/ielx7/18/6800061/06746209.pdf","source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2092430227.pdf","grobid_xml":"https://content.openalex.org/works/W2092430227.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W1582706191","https://openalex.org/W1663973292","https://openalex.org/W1880262756","https://openalex.org/W1893900968","https://openalex.org/W1963551385","https://openalex.org/W1963921091","https://openalex.org/W1995468345","https://openalex.org/W2017288758","https://openalex.org/W2018493294","https://openalex.org/W2025977958","https://openalex.org/W2033468335","https://openalex.org/W2038151469","https://openalex.org/W2041238782","https://openalex.org/W2050892949","https://openalex.org/W2066873261","https://openalex.org/W2074269613","https://openalex.org/W2090209167","https://openalex.org/W2092272609","https://openalex.org/W2092926335","https://openalex.org/W2096765209","https://openalex.org/W2096840748","https://openalex.org/W2097939965","https://openalex.org/W2098092211","https://openalex.org/W2110987781","https://openalex.org/W2111510771","https://openalex.org/W2111616148","https://openalex.org/W2114524997","https://openalex.org/W2118872735","https://openalex.org/W2120797717","https://openalex.org/W2129000925","https://openalex.org/W2130700086","https://openalex.org/W2132501541","https://openalex.org/W2136135636","https://openalex.org/W2138245406","https://openalex.org/W2146169717","https://openalex.org/W2146355224","https://openalex.org/W2146502635","https://openalex.org/W2152314397","https://openalex.org/W2153463205","https://openalex.org/W2155549573","https://openalex.org/W2158266063","https://openalex.org/W2164814215","https://openalex.org/W2167455364","https://openalex.org/W2168991218","https://openalex.org/W2170827277","https://openalex.org/W2216511711","https://openalex.org/W2296319761","https://openalex.org/W2326120674","https://openalex.org/W2594639291","https://openalex.org/W2797638056","https://openalex.org/W2951576988","https://openalex.org/W2951813019","https://openalex.org/W3106237033","https://openalex.org/W4231510805","https://openalex.org/W4250589301","https://openalex.org/W4298017672","https://openalex.org/W4300646324","https://openalex.org/W4301435544","https://openalex.org/W6639408265","https://openalex.org/W6639619044","https://openalex.org/W6674201379","https://openalex.org/W6674525294","https://openalex.org/W6678412324","https://openalex.org/W6681435938","https://openalex.org/W6684092480","https://openalex.org/W6685256068","https://openalex.org/W6688465353"],"related_works":["https://openalex.org/W2518544128","https://openalex.org/W3120009850","https://openalex.org/W3213547841","https://openalex.org/W4287394599","https://openalex.org/W4295816620","https://openalex.org/W2106579555","https://openalex.org/W4225940264","https://openalex.org/W2949508791","https://openalex.org/W2081335360","https://openalex.org/W2949275697"],"abstract_inverted_index":{"A":[0],"generalization":[1,72],"of":[2,20,23,134,142],"Bregman":[3,75,89,99],"divergence":[4],"is":[5,28,42,101],"developed":[6,148],"and":[7,13,39,47,77,109,127,159],"utilized":[8,103],"to":[9,31,104,150],"unify":[10],"vector":[11,67],"Poisson":[12,54,124],"Gaussian":[14,68],"channel":[15],"models,":[16],"from":[17],"the":[18,21,32,66,88,106,147,152],"perspective":[19],"gradient":[22,27],"mutual":[24,40],"information.":[25],"The":[26,70,84,98],"with":[29,87,122],"respect":[30],"measurement":[33,125,154],"matrix":[34,79,90,100],"in":[35],"a":[36,74,123,135],"compressive-sensing":[37],"setting,":[38],"information":[41],"considered":[43],"for":[44,52,65,132,156],"signal":[45,157],"recovery":[46,158],"classification.":[48,160],"Existing":[49],"gradient-of-mutual-information":[50],"results":[51,64],"scalar":[53],"models":[55],"are":[56,62,91,94,117],"recovered":[57],"as":[58,61,93],"special":[59],"cases,":[60],"known":[63],"model.":[69],"Bregman-divergence":[71],"yields":[73],"matrix,":[76,155],"this":[78],"induces":[80],"numerous":[81],"matrix-valued":[82],"metrics.":[83],"metrics":[85],"associated":[86],"detailed,":[92],"its":[95],"other":[96],"properties.":[97],"also":[102],"connect":[105],"relative":[107],"entropy":[108],"mismatched":[110],"minimum":[111],"mean":[112],"squared":[113],"error.":[114],"Two":[115],"applications":[116],"considered:":[118],"1)":[119],"compressive":[120,129,153],"sensing":[121],"model":[126],"2)":[128],"topic":[130],"modeling":[131],"analysis":[133],"document":[136],"corpora":[137],"(word-count":[138],"data).":[139],"In":[140],"both":[141],"these":[143],"settings,":[144],"we":[145],"use":[146],"theory":[149],"optimize":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}