{"id":"https://openalex.org/W2071434102","doi":"https://doi.org/10.1109/tit.1972.1054795","title":"Optimal smoothing of piecewise continuous functions (Corresp.)","display_name":"Optimal smoothing of piecewise continuous functions (Corresp.)","publication_year":1972,"publication_date":"1972-03-01","ids":{"openalex":"https://openalex.org/W2071434102","doi":"https://doi.org/10.1109/tit.1972.1054795","mag":"2071434102"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054795","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/A5010141798","display_name":"Marvin Blum","orcid":null},"institutions":[{"id":"https://openalex.org/I1334060403","display_name":"Technology Service Corporation (United States)","ror":"https://ror.org/042dp4138","country_code":"US","type":"company","lineage":["https://openalex.org/I1334060403"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Blum","raw_affiliation_strings":["Technology Service Corporation, Santa Monica, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technology Service Corporation, Santa Monica, CA, USA","institution_ids":["https://openalex.org/I1334060403"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010141798"],"corresponding_institution_ids":["https://openalex.org/I1334060403"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.23921569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"2","first_page":"298","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9846000075340271,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9846000075340271,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9578999876976013,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/smoothing","display_name":"Smoothing","score":0.42262983322143555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41416698694229126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39043545722961426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3397001326084137},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17368733882904053}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.42262983322143555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41416698694229126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39043545722961426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3397001326084137},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17368733882904053}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1972.1054795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054795","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":2,"referenced_works":["https://openalex.org/W2017048780","https://openalex.org/W2079346762"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819"],"abstract_inverted_index":{"Given":[0],"an":[1],"observation":[2],"vectory":[3],"=":[4,17],"Ax":[5],"+":[6],"\\nu,":[7],"estimate":[8,33],"the":[9,13,22],"parameter":[10],"vectorxsubject":[11],"to":[12],"known":[14,25],"constraint":[15],"relationshipKx":[16],"0.":[18],"The":[19,29],"covariance":[20,36],"matrixRof":[21],"measurement":[23],"error\\nuandAare":[24],"block":[26],"diagonal":[27],"matrices.":[28],"best":[30],"linear":[31],"unbiased":[32],"ofxand":[34],"its":[35],"is":[37],"obtained":[38],"and":[39],"compared":[40],"with":[41],"a":[42],"sequential":[43],"suboptimal":[44],"estimate.":[45]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}