{"id":"https://openalex.org/W1989760627","doi":"https://doi.org/10.1109/tit.1972.1054736","title":"Parameter identification using intrinsic dimensionality","display_name":"Parameter identification using intrinsic dimensionality","publication_year":1972,"publication_date":"1972-01-01","ids":{"openalex":"https://openalex.org/W1989760627","doi":"https://doi.org/10.1109/tit.1972.1054736","mag":"1989760627"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054736","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080920075","display_name":"G.V. Trunk","orcid":null},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]},{"id":"https://openalex.org/I4210145244","display_name":"Radar (United States)","ror":"https://ror.org/05c5a2504","country_code":"US","type":"company","lineage":["https://openalex.org/I4210145244"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Trunk","raw_affiliation_strings":["Radar Division, Naval Research Laboratory, Inc., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radar Division, Naval Research Laboratory, Inc., USA","institution_ids":["https://openalex.org/I1288214837","https://openalex.org/I4210145244"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080920075"],"corresponding_institution_ids":["https://openalex.org/I1288214837","https://openalex.org/I4210145244"],"apc_list":null,"apc_paid":null,"fwci":1.6835,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82928105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"1","first_page":"126","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9977999925613403,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9977999925613403,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9937000274658203,"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"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.988099992275238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3982834815979004},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3958428204059601}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3982834815979004},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3958428204059601}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1972.1054736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054736","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1496157605","https://openalex.org/W1973192023","https://openalex.org/W2000260381","https://openalex.org/W2020451003","https://openalex.org/W2043644866","https://openalex.org/W2134312057","https://openalex.org/W2137081296","https://openalex.org/W2152825437","https://openalex.org/W2169371330","https://openalex.org/W4256550993","https://openalex.org/W4300544062"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"LetWbe":[0],"anN-dimensional":[1],"vector":[2],"space":[3],"andVbe":[4],"aK-":[5],"dimensional":[6],"topological":[7],"hypersurface":[8],"inW.":[9],"The":[10,85,140],"intrinsic":[11,34],"dimensionality":[12,29,35],"problem":[13,40],"can":[14,163],"be":[15],"stated":[16],"as":[17,60],"follows.":[18],"GivenMrandomly":[19],"selected":[20],"points\\nu_i,":[21],"\\nu_i":[22],"\\in":[23],"V,":[24,134],"estimateK,":[25],"which":[26],"is":[27,31,79,90,142,158],"the":[28,33,37,65,82,95,99,135,149,168],"ofVand":[30],"called":[32],"of":[36,67,87,94,98,151,170],"points\\nu_i.":[38],"This":[39],"has":[41],"been":[42],"attacked":[43],"by":[44,51,72,144],"several":[45,146],"authors.":[46],"If":[47],"signals":[48,68],"are":[49,70],"represented":[50],"vectors":[52,169],"in":[53],"an":[54],"abstract":[55],"signal":[56,75,83,152],"spaceW,":[57],"rather":[58],"than":[59],"time":[61,175],"or":[62,176],"frequency":[63,177],"functions,":[64],"locus":[66],"that":[69,105,113,161],"generated":[71],"a":[73,102,114,118,120,155],"hypothetical":[74],"generator":[76],"possessingKfree":[77],"parameters":[78,97,162],"aK-dimensional":[80],"hypersurfaceVin":[81],"space.":[84],"purpose":[86],"this":[88],"paper":[89],"to":[91],"identify":[92],"some":[93],"free":[96,121],"signals.":[100],"LetHbe":[101],"one-parameter":[103],"group":[104],"acts":[106],"onW,":[107],"HW":[108],"=":[109,128,133],"W.":[110],"To":[111,130],"say":[112],"parameter":[115,122],"associated":[116],"with":[117],"groupHis":[119],"ofVmeans":[123],"thatVis":[124],"closed":[125],"underH,":[126],"i.e.,HV":[127],"V.":[129],"decide":[131],"whetherHV":[132],"estimated":[136],"dimensionalities":[137],"ofHVandVare":[138],"compared.":[139],"method":[141],"illustrated":[143],"presenting":[145],"examples":[147],"from":[148],"field":[150],"analysis.":[153],"Finally,":[154],"slight":[156],"modification":[157],"suggested":[159],"so":[160],"he":[164],"identified":[165],"even":[166],"when":[167],"interest":[171],"do":[172],"not":[173],"represent":[174],"functions.":[178]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}