{"id":"https://openalex.org/W2517582213","doi":"https://doi.org/10.1155/2016/1397849","title":"Selection of an Interval for Variable Shape Parameter in Approximation by Radial Basis Functions","display_name":"Selection of an Interval for Variable Shape Parameter in Approximation by Radial Basis Functions","publication_year":2016,"publication_date":"2016-08-18","ids":{"openalex":"https://openalex.org/W2517582213","doi":"https://doi.org/10.1155/2016/1397849","mag":"2517582213"},"language":"en","primary_location":{"id":"doi:10.1155/2016/1397849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/1397849","pdf_url":"http://downloads.hindawi.com/archive/2016/1397849.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://downloads.hindawi.com/archive/2016/1397849.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047623673","display_name":"Jafar Biazar","orcid":"https://orcid.org/0000-0001-8026-2999"},"institutions":[{"id":"https://openalex.org/I877176835","display_name":"University of Guilan","ror":"https://ror.org/01bdr6121","country_code":"IR","type":"education","lineage":["https://openalex.org/I877176835"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Jafar Biazar","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran"],"raw_orcid":"https://orcid.org/0000-0001-8026-2999","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran","institution_ids":["https://openalex.org/I877176835"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081592703","display_name":"Mohammad Hosami","orcid":"https://orcid.org/0000-0002-9717-4669"},"institutions":[{"id":"https://openalex.org/I877176835","display_name":"University of Guilan","ror":"https://ror.org/01bdr6121","country_code":"IR","type":"education","lineage":["https://openalex.org/I877176835"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Hosami","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran"],"raw_orcid":"https://orcid.org/0000-0002-9717-4669","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran","institution_ids":["https://openalex.org/I877176835"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047623673"],"corresponding_institution_ids":["https://openalex.org/I877176835"],"apc_list":null,"apc_paid":null,"fwci":2.1604,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86122431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2016","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9947999715805054,"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":0.9947999715805054,"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/T10514","display_name":"Numerical methods in engineering","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13862","display_name":"Soil, Finite Element Methods","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/interval","display_name":"Interval (graph theory)","score":0.8182653188705444},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.7551867961883545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6777421236038208},{"id":"https://openalex.org/keywords/shape-parameter","display_name":"Shape parameter","score":0.649088978767395},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5445182919502258},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5089783668518066},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4384641945362091},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.4333600699901581},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4097781777381897},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33964234590530396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30132371187210083},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.282315194606781},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1645197570323944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1171632707118988},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0903739333152771},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07401213049888611}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.8182653188705444},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.7551867961883545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6777421236038208},{"id":"https://openalex.org/C199435849","wikidata":"https://www.wikidata.org/wiki/Q3179293","display_name":"Shape parameter","level":2,"score":0.649088978767395},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5445182919502258},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5089783668518066},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4384641945362091},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.4333600699901581},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4097781777381897},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33964234590530396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30132371187210083},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.282315194606781},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1645197570323944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1171632707118988},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0903739333152771},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07401213049888611},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/2016/1397849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/1397849","pdf_url":"http://downloads.hindawi.com/archive/2016/1397849.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/2016/1397849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/1397849","pdf_url":"http://downloads.hindawi.com/archive/2016/1397849.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2517582213.pdf","grobid_xml":"https://content.openalex.org/works/W2517582213.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W42253513","https://openalex.org/W1968228366","https://openalex.org/W1973887353","https://openalex.org/W1974322848","https://openalex.org/W1979478747","https://openalex.org/W1986928470","https://openalex.org/W1999207258","https://openalex.org/W2014505837","https://openalex.org/W2017798320","https://openalex.org/W2024000425","https://openalex.org/W2028050352","https://openalex.org/W2030028087","https://openalex.org/W2049449714","https://openalex.org/W2079721280","https://openalex.org/W2090843186","https://openalex.org/W2108810343","https://openalex.org/W2119719851","https://openalex.org/W2121937375","https://openalex.org/W2127343577"],"related_works":["https://openalex.org/W2374946871","https://openalex.org/W2393679935","https://openalex.org/W2166773194","https://openalex.org/W1572661297","https://openalex.org/W1973833593","https://openalex.org/W4385633430","https://openalex.org/W2024269907","https://openalex.org/W2121937375","https://openalex.org/W3128882919","https://openalex.org/W2073043380"],"abstract_inverted_index":{"In":[0,52],"radial":[1],"basis":[2],"function":[3],"approximation,":[4],"the":[5,14,75,80],"shape":[6,16,66,91],"parameter":[7,17,67,92],"can":[8],"be":[9],"variable.":[10],"The":[11,71],"values":[12],"of":[13],"variable":[15,65,90],"strategies":[18,68],"are":[19,46,69],"selected":[20],"from":[21],"an":[22,41,60],"interval":[23,61,77],"which":[24],"is":[25,35,62,83],"usually":[26],"determined":[27,76],"by":[28],"trial":[29],"and":[30,82],"error.":[31],"As":[32],"yet":[33],"there":[34,45],"not":[36],"any":[37],"algorithm":[38,57],"for":[39,49,58],"determining":[40,59],"appropriate":[42],"interval,":[43],"although":[44],"some":[47],"recipes":[48],"optimal":[50],"values.":[51],"this":[53],"paper,":[54],"a":[55],"novel":[56],"proposed.":[63],"Different":[64],"examined.":[70],"results":[72],"show":[73],"that":[74],"significantly":[78],"improved":[79],"accuracy":[81],"suitable":[84],"enough":[85],"to":[86],"count":[87],"on":[88],"in":[89],"strategies.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
