{"id":"https://openalex.org/W32444745","doi":"https://doi.org/10.1007/978-1-4471-0219-9_9","title":"A Learning Algorithm for Piecewise Linear Regression","display_name":"A Learning Algorithm for Piecewise Linear Regression","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W32444745","doi":"https://doi.org/10.1007/978-1-4471-0219-9_9","mag":"32444745"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-0219-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0219-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210236473","display_name":"Perspectives in neural computing","issn_l":"1431-6854","issn":["1431-6854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives in Neural Computing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/224270","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074145693","display_name":"Giancarlo Ferrari\u2010Trecate","orcid":"https://orcid.org/0000-0002-9492-9624"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210090941","display_name":"Institute for Biomedical Engineering","ror":"https://ror.org/00baskk38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I202697423","https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4210090941"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Giancarlo Ferrari-Trecate","raw_affiliation_strings":["Institute f\u00fcr Automatik, ETHZ - ETL, CH 8092, Z\u00fcrich, Switzerland","Institute f\u00fcr Automatik, ETHZ - ETL, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute f\u00fcr Automatik, ETHZ - ETL, CH 8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4210090941"]},{"raw_affiliation_string":"Institute f\u00fcr Automatik, ETHZ - ETL, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004748627","display_name":"Marco Muselli","orcid":"https://orcid.org/0000-0002-9999-2331"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marco Muselli","raw_affiliation_strings":["Istituto per i Circuiti Elettronici - CNR, via De Marini, 6, 16149, Genova, Italy","Istituto per i Circuiti Elettronici - CNR, Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per i Circuiti Elettronici - CNR, via De Marini, 6, 16149, Genova, Italy","institution_ids":[]},{"raw_affiliation_string":"Istituto per i Circuiti Elettronici - CNR, Genova, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108602988","display_name":"Diego Liberati","orcid":null},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Diego Liberati","raw_affiliation_strings":["Ce.S.T.I.A. - CNR c/o Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milano, Italy","Ce.S.T.I.A. - CNR c/o Politecnico di Milano, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ce.S.T.I.A. - CNR c/o Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Ce.S.T.I.A. - CNR c/o Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025946191","display_name":"Manfred Morari","orcid":"https://orcid.org/0000-0002-7696-5058"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210090941","display_name":"Institute for Biomedical Engineering","ror":"https://ror.org/00baskk38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I202697423","https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4210090941"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Manfred Morari","raw_affiliation_strings":["Institute f\u00fcr Automatik, ETHZ - ETL, CH 8092, Z\u00fcrich, Switzerland","Institute f\u00fcr Automatik, ETHZ - ETL, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute f\u00fcr Automatik, ETHZ - ETL, CH 8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4210090941"]},{"raw_affiliation_string":"Institute f\u00fcr Automatik, ETHZ - ETL, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.01311783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"114","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9970999956130981,"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/T10320","display_name":"Neural Networks and Applications","score":0.9970999956130981,"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/T14257","display_name":"Advanced Measurement and Detection Methods","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10057","display_name":"Face and Expression Recognition","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6290383338928223},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.5478132367134094},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5375596880912781},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5188404321670532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5170046091079712},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5164023041725159},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49950194358825684},{"id":"https://openalex.org/keywords/segmented-regression","display_name":"Segmented regression","score":0.49628835916519165},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4937158524990082},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.4436020851135254},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4376789331436157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3908524513244629},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37761014699935913},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36676228046417236},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2704044282436371},{"id":"https://openalex.org/keywords/bayesian-multivariate-linear-regression","display_name":"Bayesian multivariate linear regression","score":0.2522980570793152}],"concepts":[{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6290383338928223},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.5478132367134094},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5375596880912781},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5188404321670532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5170046091079712},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5164023041725159},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49950194358825684},{"id":"https://openalex.org/C35519122","wikidata":"https://www.wikidata.org/wiki/Q3775699","display_name":"Segmented regression","level":4,"score":0.49628835916519165},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4937158524990082},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.4436020851135254},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4376789331436157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3908524513244629},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37761014699935913},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36676228046417236},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2704044282436371},{"id":"https://openalex.org/C64946054","wikidata":"https://www.wikidata.org/wiki/Q4874476","display_name":"Bayesian multivariate linear regression","level":3,"score":0.2522980570793152},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-1-4471-0219-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0219-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210236473","display_name":"Perspectives in neural computing","issn_l":"1431-6854","issn":["1431-6854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives in Neural Computing","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.75.941","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ieiit.cnr.it/~muselli/papers/wirn01c.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:224270","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/224270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:224270","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/224270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1485231155","https://openalex.org/W1494922272","https://openalex.org/W2007093507","https://openalex.org/W2032607604","https://openalex.org/W2054804336","https://openalex.org/W2092644566","https://openalex.org/W2101593450","https://openalex.org/W2105641627","https://openalex.org/W2138754805","https://openalex.org/W2277428374","https://openalex.org/W3017143921","https://openalex.org/W3145013517","https://openalex.org/W4212774754"],"related_works":["https://openalex.org/W1596838019","https://openalex.org/W3182827720","https://openalex.org/W2133947431","https://openalex.org/W2055707752","https://openalex.org/W4245818917","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W3099761985","https://openalex.org/W2100864966","https://openalex.org/W2109304297"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
