{"id":"https://openalex.org/W2753081757","doi":"https://doi.org/10.1007/978-3-319-66320-3_19","title":"Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data","display_name":"Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2753081757","doi":"https://doi.org/10.1007/978-3-319-66320-3_19","mag":"2753081757"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-66320-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66320-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5059335106","display_name":"Ryszard Kozera","orcid":"https://orcid.org/0000-0002-2907-8632"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]},{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]}],"countries":["AU","PL"],"is_corresponding":true,"raw_author_name":"Ryszard Kozera","raw_affiliation_strings":["Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences-SGGW, Nowoursynowska Str. 159, 02-776, Warsaw, Poland","School of Computer Science and Software Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA, 6009, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences-SGGW, Nowoursynowska Str. 159, 02-776, Warsaw, Poland","institution_ids":["https://openalex.org/I170230895"]},{"raw_affiliation_string":"School of Computer Science and Software Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001541606","display_name":"Lyle Noakes","orcid":"https://orcid.org/0000-0001-9595-0735"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lyle Noakes","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA, 6009, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059335106"],"corresponding_institution_ids":["https://openalex.org/I170230895","https://openalex.org/I177877127"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6033,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8064695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"257","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9926999807357788,"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"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.991100013256073,"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/convexity","display_name":"Convexity","score":0.7486675381660461},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6930097341537476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6474410891532898},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48889580368995667},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4827827513217926},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47048643231391907},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45864230394363403},{"id":"https://openalex.org/keywords/linearity","display_name":"Linearity","score":0.4569374620914459},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.4486072063446045},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4220709800720215},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4182819724082947},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35528260469436646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3221268653869629},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2493533492088318},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18753817677497864},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.12148454785346985},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10708177089691162}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7486675381660461},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6930097341537476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6474410891532898},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48889580368995667},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4827827513217926},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47048643231391907},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45864230394363403},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.4569374620914459},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.4486072063446045},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4220709800720215},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4182819724082947},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35528260469436646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3221268653869629},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2493533492088318},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18753817677497864},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.12148454785346985},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10708177089691162},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-66320-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66320-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.atira.dk:publications/10d567b7-fb70-4c82-b154-817a8ff6127a","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/10d567b7-fb70-4c82-b154-817a8ff6127a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kozera , R &amp; Noakes , L 2017 , Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data . in V P Gerdt , W Koepf , W M Seiler &amp; E V Vorozhtsov (eds) , Computer Algebra in Scientific Computing : 19th International Workshop, CASC 2017, Proceedings . vol. 10490 LNCS , Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) , vol. 10490 LNCS , Springer , Beijing , pp. 257-271 , 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017 , Beijing , China , 18/09/17 . https://doi.org/10.1007/978-3-319-66320-3_19","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W25079857","https://openalex.org/W118881298","https://openalex.org/W1012236849","https://openalex.org/W1499095749","https://openalex.org/W1551207461","https://openalex.org/W1593728033","https://openalex.org/W1601543771","https://openalex.org/W1761696772","https://openalex.org/W1906560157","https://openalex.org/W1966102742","https://openalex.org/W1972923431","https://openalex.org/W1973670863","https://openalex.org/W1984743559","https://openalex.org/W2001720058","https://openalex.org/W2004909834","https://openalex.org/W2005907009","https://openalex.org/W2008080706","https://openalex.org/W2016280187","https://openalex.org/W2023143252","https://openalex.org/W2049965054","https://openalex.org/W2074853891","https://openalex.org/W2078263033","https://openalex.org/W2084871312","https://openalex.org/W2089756291","https://openalex.org/W2116509046","https://openalex.org/W2296319761","https://openalex.org/W2496481448","https://openalex.org/W2565587652","https://openalex.org/W2911329695","https://openalex.org/W4205649593","https://openalex.org/W4250589301","https://openalex.org/W4300906299","https://openalex.org/W4405660805"],"related_works":["https://openalex.org/W2187391117","https://openalex.org/W2056357792","https://openalex.org/W1981809986","https://openalex.org/W1843467136","https://openalex.org/W2949367465","https://openalex.org/W4235203617","https://openalex.org/W2051545453","https://openalex.org/W2006359264","https://openalex.org/W3029201158","https://openalex.org/W4299607453"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
