{"id":"https://openalex.org/W2100918710","doi":"https://doi.org/10.1109/cec.2007.4424882","title":"Towards the best points of interpolation using particles swarm optimisation approach","display_name":"Towards the best points of interpolation using particles swarm optimisation approach","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2100918710","doi":"https://doi.org/10.1109/cec.2007.4424882","mag":"2100918710"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2007.4424882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-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/A5059106119","display_name":"Leila Djerou","orcid":null},"institutions":[{"id":"https://openalex.org/I3133198376","display_name":"Ider University","ror":"https://ror.org/03054hf98","country_code":"MN","type":"education","lineage":["https://openalex.org/I3133198376"]}],"countries":["MN"],"is_corresponding":true,"raw_author_name":"L. Djerou","raw_affiliation_strings":["Labo of Physics and Applied Mathematics, University Med Khider, Algeria","Univ. Med Khider, Biskra"],"affiliations":[{"raw_affiliation_string":"Labo of Physics and Applied Mathematics, University Med Khider, Algeria","institution_ids":[]},{"raw_affiliation_string":"Univ. Med Khider, Biskra","institution_ids":["https://openalex.org/I3133198376"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063976278","display_name":"Mohamed Batouche","orcid":"https://orcid.org/0000-0002-2456-7859"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I3133198376","display_name":"Ider University","ror":"https://ror.org/03054hf98","country_code":"MN","type":"education","lineage":["https://openalex.org/I3133198376"]}],"countries":["MN","SA"],"is_corresponding":false,"raw_author_name":"M. Batouche","raw_affiliation_strings":["Computer Science Department,CCIS, King Saud University, Riyadh, Saudi Arabia","Univ. Med Khider, Biskra"],"affiliations":[{"raw_affiliation_string":"Computer Science Department,CCIS, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Univ. Med Khider, Biskra","institution_ids":["https://openalex.org/I3133198376"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081579902","display_name":"N. Khelil","orcid":null},"institutions":[{"id":"https://openalex.org/I206961696","display_name":"University of Biskra","ror":"https://ror.org/05fr5y859","country_code":"DZ","type":"education","lineage":["https://openalex.org/I206961696"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"N. Khelil","raw_affiliation_strings":["Labo of Physics and Applied Mathematics, University Med Khider, Algeria","Labo of Physics and Applied Mathematics, University Med Khider at Biskra, Algeria"],"affiliations":[{"raw_affiliation_string":"Labo of Physics and Applied Mathematics, University Med Khider, Algeria","institution_ids":[]},{"raw_affiliation_string":"Labo of Physics and Applied Mathematics, University Med Khider at Biskra, Algeria","institution_ids":["https://openalex.org/I206961696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112211443","display_name":"A. Zerarka","orcid":null},"institutions":[{"id":"https://openalex.org/I206961696","display_name":"University of Biskra","ror":"https://ror.org/05fr5y859","country_code":"DZ","type":"education","lineage":["https://openalex.org/I206961696"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"A. Zerarka","raw_affiliation_strings":["Physics Department, University Med Khider, Algeria","Physics Department, University Med Khider at Biskra, Algeria"],"affiliations":[{"raw_affiliation_string":"Physics Department, University Med Khider, Algeria","institution_ids":["https://openalex.org/I206961696"]},{"raw_affiliation_string":"Physics Department, University Med Khider at Biskra, Algeria","institution_ids":["https://openalex.org/I206961696"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059106119"],"corresponding_institution_ids":["https://openalex.org/I3133198376"],"apc_list":null,"apc_paid":null,"fwci":1.5009,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82519157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3211","last_page":"3214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.8087964057922363},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.7790737152099609},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6469731330871582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5445587038993835},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5011608600616455},{"id":"https://openalex.org/keywords/swarm-behaviour","display_name":"Swarm behaviour","score":0.49733784794807434},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4677572250366211},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.42908334732055664},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.4211274981498718},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3742462992668152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36794161796569824},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.3501683473587036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1352275013923645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.055624157190322876},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05265676975250244}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.8087964057922363},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.7790737152099609},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6469731330871582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5445587038993835},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5011608600616455},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.49733784794807434},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4677572250366211},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42908334732055664},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.4211274981498718},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3742462992668152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36794161796569824},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.3501683473587036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1352275013923645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.055624157190322876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05265676975250244},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2007.4424882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1490180844","https://openalex.org/W1577668191","https://openalex.org/W1580876177","https://openalex.org/W1907706552","https://openalex.org/W1959606346","https://openalex.org/W2004441397","https://openalex.org/W2065154909","https://openalex.org/W2081749411","https://openalex.org/W2106625051","https://openalex.org/W2109364787","https://openalex.org/W2165299997","https://openalex.org/W4285719527","https://openalex.org/W6634868347","https://openalex.org/W6675999727","https://openalex.org/W6703967216"],"related_works":["https://openalex.org/W2133833450","https://openalex.org/W3183609115","https://openalex.org/W2985206855","https://openalex.org/W2387056800","https://openalex.org/W2389908107","https://openalex.org/W2108850688","https://openalex.org/W2354295809","https://openalex.org/W1525419764","https://openalex.org/W2532653122","https://openalex.org/W2359833404"],"abstract_inverted_index":{"Many":[0],"studies,":[1],"mostly":[2],"empirical,":[3],"have":[4],"been":[5],"devoted":[6],"to":[7,30,108],"finding":[8],"optimal":[9],"choice":[10],"nodes":[11],"for":[12,68],"interpolating.":[13],"When":[14],"exploring":[15],"the":[16,32,69,72,79,83,96],"underlying":[17],"factors":[18],"that":[19,57],"determine":[20],"what":[21],"is":[22,91],"a":[23,46,92],"good":[24],"such":[25],"choice,":[26],"we":[27,51],"are":[28],"led":[29],"consider":[31],"Runge":[33],"phenomenon":[34],"(RP;":[35],"best":[36],"known":[37],"in":[38],"case":[39],"of":[40,61,71,74,81,102],"high":[41,62],"order":[42],"polynomial":[43],"interpolation)":[44],"as":[45],"key":[47],"error":[48],"mechanism.":[49],"However,":[50],"shall":[52],"see":[53],"by":[54],"using":[55,82],"PSO":[56,90],"interpolation":[58,88],"with":[59],"polynomials":[60],"degree":[63],"can":[64],"be":[65],"very":[66],"useful":[67],"obtaining":[70],"estimates":[73],"functions.":[75],"This":[76],"paper":[77],"presents":[78],"advantage":[80],"Particle":[84],"Swarm":[85],"Optimization":[86],"(PSO)":[87],"nodes.":[89],"technique":[93],"based":[94],"on":[95],"cooperation":[97],"between":[98,104],"particles.":[99],"The":[100],"exchange":[101],"information":[103],"these":[105],"particles":[106],"allows":[107],"resolve":[109],"difficult":[110],"problems.":[111]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}