{"id":"https://openalex.org/W2003906149","doi":"https://doi.org/10.1109/tit.1964.1053632","title":"The extension to probability distributions for detection spatial filters","display_name":"The extension to probability distributions for detection spatial filters","publication_year":1964,"publication_date":"1964-01-01","ids":{"openalex":"https://openalex.org/W2003906149","doi":"https://doi.org/10.1109/tit.1964.1053632","mag":"2003906149"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1964.1053632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053632","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/A5032742271","display_name":"W. Duane Montgomery","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W. Montgomery","raw_affiliation_strings":["Institute of Science and Technology, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032742271"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.06806109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"1","first_page":"2","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9233999848365784,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9233999848365784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6988778114318848},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6597253084182739},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.5964831709861755},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.553781270980835},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"Moment-generating function","score":0.5536745190620422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5274444222450256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4711381793022156},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.45993971824645996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45352184772491455},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.44753411412239075},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4364224076271057},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4302406311035156},{"id":"https://openalex.org/keywords/spatial-contextual-awareness","display_name":"Spatial contextual awareness","score":0.42328527569770813},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4144865870475769},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.4131776988506317},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29809075593948364},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1971636712551117}],"concepts":[{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6988778114318848},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6597253084182739},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.5964831709861755},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.553781270980835},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.5536745190620422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5274444222450256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4711381793022156},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.45993971824645996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45352184772491455},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.44753411412239075},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4364224076271057},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4302406311035156},{"id":"https://openalex.org/C64754055","wikidata":"https://www.wikidata.org/wiki/Q7574053","display_name":"Spatial contextual awareness","level":2,"score":0.42328527569770813},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4144865870475769},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.4131776988506317},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29809075593948364},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1971636712551117},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1964.1053632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053632","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W209589608","https://openalex.org/W1982293363","https://openalex.org/W2085294315","https://openalex.org/W2087171258","https://openalex.org/W4230814943"],"related_works":["https://openalex.org/W2168519368","https://openalex.org/W2020538332","https://openalex.org/W2098475155","https://openalex.org/W2373670823","https://openalex.org/W2034210042","https://openalex.org/W2791034190","https://openalex.org/W3167005578","https://openalex.org/W2141767121","https://openalex.org/W2393910018","https://openalex.org/W3033233802"],"abstract_inverted_index":{"The":[0],"idea":[1],"of":[2,23],"extending":[3],"partial":[4],"descriptions":[5,40],"to":[6],"a":[7,12],"probability":[8],"density":[9],"function":[10],"on":[11],"minimum":[13],"information":[14],"(maximum":[15],"entropy)":[16],"basis":[17],"is":[18],"applied":[19],"in":[20,47],"the":[21],"context":[22],"detection":[24],"spatial":[25],"filters,":[26],"i.e.,":[27],"filters":[28],"with":[29],"two-dimensional":[30,38],"input":[31],"and":[32,44],"output":[33],"used":[34],"for":[35],"detection.":[36],"Several":[37],"moment":[39],"are":[41],"thus":[42],"extended":[43],"worked":[45],"out":[46],"detail.":[48]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}