{"id":"https://openalex.org/W1983905049","doi":"https://doi.org/10.1007/bf01580873","title":"Active set algorithms for isotonic regression; A unifying framework","display_name":"Active set algorithms for isotonic regression; A unifying framework","publication_year":1990,"publication_date":"1990-05-01","ids":{"openalex":"https://openalex.org/W1983905049","doi":"https://doi.org/10.1007/bf01580873","mag":"1983905049"},"language":"en","primary_location":{"id":"doi:10.1007/bf01580873","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01580873","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5052345210","display_name":"Michael J. Best","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael J. Best","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","DEPARTMENT OF COMBINATORICS & OPTIMIZATION, UNIVERSITY OF WATERLOO, WATERLOO, CANADA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"DEPARTMENT OF COMBINATORICS & OPTIMIZATION, UNIVERSITY OF WATERLOO, WATERLOO, CANADA","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015160446","display_name":"Nilotpal Chakravarti","orcid":null},"institutions":[{"id":"https://openalex.org/I102502594","display_name":"Northern Illinois University","ror":"https://ror.org/012wxa772","country_code":"US","type":"education","lineage":["https://openalex.org/I102502594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nilotpal Chakravarti","raw_affiliation_strings":["Department of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA","Department of Mathematical Sciences, Northern Illinois University, DeKalb, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA","institution_ids":["https://openalex.org/I102502594"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Northern Illinois University, DeKalb, USA","institution_ids":["https://openalex.org/I102502594"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":3.5942,"has_fulltext":false,"cited_by_count":262,"citation_normalized_percentile":{"value":0.93185609,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"47","issue":"1-3","first_page":"425","last_page":"439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9986000061035156,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isotonic-regression","display_name":"Isotonic regression","score":0.856467604637146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.710278332233429},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6516276597976685},{"id":"https://openalex.org/keywords/isotonic","display_name":"Isotonic","score":0.5740736722946167},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5525295734405518},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5169495940208435},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.421572744846344},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4133906662464142},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.398007869720459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1858224868774414},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06817036867141724}],"concepts":[{"id":"https://openalex.org/C17418463","wikidata":"https://www.wikidata.org/wiki/Q3455874","display_name":"Isotonic regression","level":3,"score":0.856467604637146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.710278332233429},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6516276597976685},{"id":"https://openalex.org/C77056095","wikidata":"https://www.wikidata.org/wiki/Q543183","display_name":"Isotonic","level":2,"score":0.5740736722946167},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5525295734405518},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5169495940208435},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.421572744846344},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4133906662464142},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.398007869720459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1858224868774414},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06817036867141724},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01580873","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01580873","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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":26,"referenced_works":["https://openalex.org/W291003596","https://openalex.org/W1532372175","https://openalex.org/W1968607806","https://openalex.org/W1973192023","https://openalex.org/W1976334997","https://openalex.org/W1978804108","https://openalex.org/W1991376972","https://openalex.org/W1996754234","https://openalex.org/W2016511206","https://openalex.org/W2026372345","https://openalex.org/W2047029951","https://openalex.org/W2053913299","https://openalex.org/W2067045754","https://openalex.org/W2067791548","https://openalex.org/W2069323107","https://openalex.org/W2076123903","https://openalex.org/W2081218640","https://openalex.org/W2089738123","https://openalex.org/W2091041003","https://openalex.org/W2092323043","https://openalex.org/W2093404847","https://openalex.org/W2093781566","https://openalex.org/W2104452301","https://openalex.org/W4237731557","https://openalex.org/W4238461566","https://openalex.org/W6670959773"],"related_works":["https://openalex.org/W2172199775","https://openalex.org/W2378697222","https://openalex.org/W4253676545","https://openalex.org/W2000484728","https://openalex.org/W2083550322","https://openalex.org/W2070345751","https://openalex.org/W2013756645","https://openalex.org/W2020885103","https://openalex.org/W2964272139","https://openalex.org/W2223676372"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":11}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}