{"id":"https://openalex.org/W3215258897","doi":"https://doi.org/10.1109/access.2021.3128902","title":"HOPS: A Fast Algorithm for Segmenting Piecewise Polynomials of Arbitrary Orders","display_name":"HOPS: A Fast Algorithm for Segmenting Piecewise Polynomials of Arbitrary Orders","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3215258897","doi":"https://doi.org/10.1109/access.2021.3128902","mag":"3215258897"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3128902","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3128902","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618954.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618954.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023726254","display_name":"Junbo Duan","orcid":"https://orcid.org/0000-0001-7170-3772"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junbo Duan","raw_affiliation_strings":["Key Laboratory of Biomedical Information Engineering of Ministry of Education and Department of Biomedical Engineering, School of Life Science and Technology, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China. (e-mail: junbo.duan@mail.xjtu.edu.cn)","Key Laboratory of Biomedical Information Engineering of Ministry of Education and Department of Biomedical Engineering, School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":"https://orcid.org/0000-0001-7170-3772","affiliations":[{"raw_affiliation_string":"Key Laboratory of Biomedical Information Engineering of Ministry of Education and Department of Biomedical Engineering, School of Life Science and Technology, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China. (e-mail: junbo.duan@mail.xjtu.edu.cn)","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Key Laboratory of Biomedical Information Engineering of Ministry of Education and Department of Biomedical Engineering, School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100434861","display_name":"Qing Wang","orcid":"https://orcid.org/0000-0002-8190-8533"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing Wang","raw_affiliation_strings":["School of Electronic Engineering, Xidian University, Xi\u2019an, 710071, China","School of Electronic Engineering, Xidian University, Xi'an, 710071, China"],"raw_orcid":"https://orcid.org/0000-0002-8190-8533","affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi'an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100339106","display_name":"Yu\u2010Ping Wang","orcid":"https://orcid.org/0000-0001-9340-5864"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu-Ping Wang","raw_affiliation_strings":["Department of Biomedical Engineering, and the Department of Biostatistics and Bioinformatics, Lindy Boggs Center, Tulane University, New Orleans, LA 70118, USA"],"raw_orcid":"https://orcid.org/0000-0001-9340-5864","affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, and the Department of Biostatistics and Bioinformatics, Lindy Boggs Center, Tulane University, New Orleans, LA 70118, USA","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023726254"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.5554,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6710845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"155977","last_page":"155987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9955000281333923,"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/piecewise","display_name":"Piecewise","score":0.8404070138931274},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6206532716751099},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.5954486727714539},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5770946145057678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5053513646125793},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.41995203495025635},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4133566617965698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3935793936252594},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36923468112945557},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19145047664642334}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8404070138931274},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6206532716751099},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.5954486727714539},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5770946145057678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5053513646125793},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.41995203495025635},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4133566617965698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3935793936252594},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36923468112945557},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19145047664642334},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3128902","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3128902","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618954.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:05e4a3fc584e4cc1a738e960034db8c4","is_oa":true,"landing_page_url":"https://doaj.org/article/05e4a3fc584e4cc1a738e960034db8c4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 155977-155987 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3128902","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3128902","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618954.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7300000190734863,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4166441612","display_name":"\u57fa\u4e8e\u7a00\u758f\u8868\u8fbe\u6a21\u578b\u7684\u591a\u7ec4\u5b66\u6570\u636e\u878d\u5408\u7814\u7a76\u53ca\u5176\u5728\u62f7\u8d1d\u6570\u53d8\u5f02\u76f8\u5173\u75be\u75c5\u7684\u5e94\u7528","funder_award_id":"61771381","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215258897.pdf","grobid_xml":"https://content.openalex.org/works/W3215258897.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W217326010","https://openalex.org/W821768790","https://openalex.org/W1709435319","https://openalex.org/W1975684011","https://openalex.org/W1975946664","https://openalex.org/W1987731873","https://openalex.org/W2003410902","https://openalex.org/W2039939700","https://openalex.org/W2042519317","https://openalex.org/W2063494315","https://openalex.org/W2063978378","https://openalex.org/W2072081687","https://openalex.org/W2074682976","https://openalex.org/W2078214343","https://openalex.org/W2086325670","https://openalex.org/W2088563154","https://openalex.org/W2089700840","https://openalex.org/W2097880821","https://openalex.org/W2123107972","https://openalex.org/W2127710810","https://openalex.org/W2133174470","https://openalex.org/W2135046866","https://openalex.org/W2137550512","https://openalex.org/W2149247444","https://openalex.org/W2150903279","https://openalex.org/W2295790740","https://openalex.org/W2766665194","https://openalex.org/W2783487770","https://openalex.org/W2795342949","https://openalex.org/W2896009432","https://openalex.org/W2906798521","https://openalex.org/W2962781485","https://openalex.org/W3099936673","https://openalex.org/W4238553616","https://openalex.org/W4254310718","https://openalex.org/W4300263211"],"related_works":["https://openalex.org/W4308757930","https://openalex.org/W2383844134","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W2151524381","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W2065958989","https://openalex.org/W1998603635","https://openalex.org/W2027049625"],"abstract_inverted_index":{"The":[0],"segmentation":[1],"of":[2,10,30,68],"piecewise":[3,22],"polynomial":[4],"signals":[5],"arises":[6],"in":[7],"a":[8,16,21,43,90],"variety":[9],"scientific":[11],"and":[12,36,88,93,110],"engineering":[13],"fields.":[14],"When":[15],"signal":[17],"is":[18,49],"modeled":[19],"as":[20],"polynomial,":[23],"the":[24,28,56,62,66,82,101,112],"key":[25],"then":[26],"becomes":[27],"detection":[29],"breakpoints":[31,69],"followed":[32],"by":[33],"curve":[34],"fitting":[35,60],"parameter":[37],"estimation.":[38],"This":[39],"paper":[40],"proposes":[41],"HOPS,":[42],"fast":[44],"High-Order":[45],"Polynomial":[46],"Segmenter,":[47],"which":[48],"based":[50],"on":[51],"\u21130-penalized":[52],"least-square":[53],"regression.":[54],"While":[55],"least-squares":[57],"regression":[58],"ensures":[59],"fidelity,":[61],"\u21130":[63],"penalty":[64],"takes":[65],"number":[67],"into":[70],"account.":[71],"We":[72],"show":[73],"that":[74,89],"dynamic":[75],"programming":[76],"can":[77,96],"be":[78,97],"applied":[79],"to":[80,85,99],"find":[81],"optimal":[83],"solution":[84],"this":[86],"problem":[87],"pruning":[91],"strategy":[92],"matrix":[94],"factorization":[95],"utilized":[98],"accelerate":[100],"execution":[102],"speed.":[103],"Finally,":[104],"we":[105],"provide":[106],"some":[107],"illustrative":[108],"examples,":[109],"compare":[111],"proposed":[113],"method":[114],"with":[115],"state-of-the-art":[116],"alternatives.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}