{"id":"https://openalex.org/W2044001710","doi":"https://doi.org/10.1109/isit.2013.6620239","title":"A reduced-complexity algorithm for polynomial interpolation","display_name":"A reduced-complexity algorithm for polynomial interpolation","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2044001710","doi":"https://doi.org/10.1109/isit.2013.6620239","mag":"2044001710"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","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/A5100836075","display_name":"Yuan Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Zhu","raw_affiliation_strings":["Department of Software Engineering Sun, Yat-sen University, Guangzhou, Guangdong, China","Dept. of Software Eng., Sun Yat-sen Univ., Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Engineering Sun, Yat-sen University, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Dept. of Software Eng., Sun Yat-sen Univ., Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078287933","display_name":"Siyun Tang","orcid":"https://orcid.org/0000-0002-9742-0591"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyun Tang","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China","Dept..of Electron. & Commun. Eng., Sun Yat-Sen Univ., Guangzhou, , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Dept..of Electron. & Commun. Eng., Sun Yat-Sen Univ., Guangzhou, , China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":1.483,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86070558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"316","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.823275089263916},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.6582604646682739},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.6135601997375488},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5978389978408813},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5915294289588928},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.5817784070968628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5745283365249634},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.5403990149497986},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5401865243911743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5367568135261536},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5298274159431458},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.5270678997039795},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4935721158981323},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.47028684616088867},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.4467598795890808},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.44590863585472107},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38805240392684937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3545790910720825},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17287421226501465},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13007938861846924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09540703892707825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0782293975353241},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05382460355758667},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05211201310157776}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.823275089263916},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.6582604646682739},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.6135601997375488},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5978389978408813},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5915294289588928},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.5817784070968628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5745283365249634},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.5403990149497986},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5401865243911743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5367568135261536},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5298274159431458},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.5270678997039795},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4935721158981323},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.47028684616088867},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.4467598795890808},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.44590863585472107},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38805240392684937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3545790910720825},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17287421226501465},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13007938861846924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09540703892707825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0782293975353241},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05382460355758667},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05211201310157776},{"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/isit.2013.6620239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321160","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1983801350","https://openalex.org/W2051081292","https://openalex.org/W2081204099","https://openalex.org/W2098081605","https://openalex.org/W2100852839","https://openalex.org/W2120227138","https://openalex.org/W2142122963","https://openalex.org/W2155020285","https://openalex.org/W2158630122","https://openalex.org/W4238858352","https://openalex.org/W6670660368","https://openalex.org/W6681160877"],"related_works":["https://openalex.org/W2074319569","https://openalex.org/W2350359739","https://openalex.org/W1535747850","https://openalex.org/W3104333641","https://openalex.org/W3204309326","https://openalex.org/W2039554146","https://openalex.org/W2389605906","https://openalex.org/W2003738484","https://openalex.org/W2384381677","https://openalex.org/W2385227025"],"abstract_inverted_index":{"Most":[0],"traditional":[1],"bivariate":[2],"polynomial":[3],"interpolation":[4,17,59],"algorithms":[5],"need":[6],"to":[7,35],"construct":[8],"the":[9,16,28,44,47],"Gr\u00f6bner":[10,49],"basis":[11,29],"of":[12,43,46],"a":[13,31,40],"module":[14],"for":[15,30,56],"result.":[18],"In":[19],"this":[20],"paper,":[21],"we":[22],"present":[23],"an":[24],"algorithm":[25],"that":[26],"constructs":[27],"gradually":[32],"extending":[33],"submodule":[34],"save":[36],"computation,":[37],"based":[38],"on":[39],"partial":[41],"order":[42],"elements":[45],"submodule's":[48],"basis.":[50],"It":[51],"also":[52],"can":[53],"be":[54],"generalized":[55],"negative":[57],"weighted":[58],"and":[60],"multivariate":[61],"interpolation.":[62]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
