{"id":"https://openalex.org/W268496508","doi":"https://doi.org/10.1007/s00037-016-0142-y","title":"Sparse multivariate polynomial interpolation on the basis of Schubert polynomials","display_name":"Sparse multivariate polynomial interpolation on the basis of Schubert polynomials","publication_year":2016,"publication_date":"2016-07-12","ids":{"openalex":"https://openalex.org/W268496508","doi":"https://doi.org/10.1007/s00037-016-0142-y","mag":"268496508"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-016-0142-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0142-y","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1504.03856","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Priyanka Mukhopadhyay","orcid":null},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Priyanka Mukhopadhyay","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore","Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":null,"display_name":"Youming Qiao","orcid":null},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I4210096034","display_name":"Centre for Quantum Computation and Communication Technology","ror":"https://ror.org/00rnbty21","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1337719021","https://openalex.org/I165143802","https://openalex.org/I2801453606","https://openalex.org/I4210096034","https://openalex.org/I4210132349"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Youming Qiao","raw_affiliation_strings":["Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney, Sydney, Australia","Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney, Sydney, NSW, 2007, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney, Sydney, Australia","institution_ids":["https://openalex.org/I4210096034","https://openalex.org/I114017466"]},{"raw_affiliation_string":"Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney, Sydney, NSW, 2007, Australia","institution_ids":["https://openalex.org/I4210096034","https://openalex.org/I114017466"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114017466","https://openalex.org/I115455960","https://openalex.org/I165932596","https://openalex.org/I4210096034"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00123359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"4","first_page":"881","last_page":"909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.4950999915599823,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.4950999915599823,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.34940001368522644,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.12610000371932983,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/schubert-polynomial","display_name":"Schubert polynomial","score":0.6136999726295471},{"id":"https://openalex.org/keywords/schubert-calculus","display_name":"Schubert calculus","score":0.5618000030517578},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5436999797821045},{"id":"https://openalex.org/keywords/schur-polynomial","display_name":"Schur polynomial","score":0.5360999703407288},{"id":"https://openalex.org/keywords/monomial-basis","display_name":"Monomial basis","score":0.49230000376701355},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4674000144004822},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.424699991941452},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.42080000042915344},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4187000095844269},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.41850000619888306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7814000248908997},{"id":"https://openalex.org/C97912942","wikidata":"https://www.wikidata.org/wiki/Q7432937","display_name":"Schubert polynomial","level":2,"score":0.6136999726295471},{"id":"https://openalex.org/C169843257","wikidata":"https://www.wikidata.org/wiki/Q7432936","display_name":"Schubert calculus","level":3,"score":0.5618000030517578},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5436999797821045},{"id":"https://openalex.org/C146922319","wikidata":"https://www.wikidata.org/wiki/Q4298935","display_name":"Schur polynomial","level":5,"score":0.5360999703407288},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.49230000376701355},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4674000144004822},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4544999897480011},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.424699991941452},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.42080000042915344},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4187000095844269},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.41850000619888306},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"score":0.38679999113082886},{"id":"https://openalex.org/C52153879","wikidata":"https://www.wikidata.org/wiki/Q930499","display_name":"Symmetric polynomial","level":4,"score":0.3662000000476837},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36570000648498535},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.36410000920295715},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.34950000047683716},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.33660000562667847},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33640000224113464},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C29701004","wikidata":"https://www.wikidata.org/wiki/Q1786292","display_name":"Schur's theorem","level":5,"score":0.31540000438690186},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.3100000023841858},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.2955999970436096},{"id":"https://openalex.org/C64338288","wikidata":"https://www.wikidata.org/wiki/Q2235316","display_name":"Elementary symmetric polynomial","level":4,"score":0.2831999957561493},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28299999237060547},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.2809000015258789},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.2761000096797943},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.2750999927520752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2711000144481659},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.2653000056743622},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.25189998745918274},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.2506999969482422}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00037-016-0142-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0142-y","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1504.03856","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.03856","pdf_url":"https://arxiv.org/pdf/1504.03856","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1504.03856","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.03856","pdf_url":"https://arxiv.org/pdf/1504.03856","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W177639393","https://openalex.org/W620758547","https://openalex.org/W1493018463","https://openalex.org/W1516750787","https://openalex.org/W1599026900","https://openalex.org/W1852479036","https://openalex.org/W1943663571","https://openalex.org/W1967348711","https://openalex.org/W1991614107","https://openalex.org/W1991845702","https://openalex.org/W1992781176","https://openalex.org/W1996798784","https://openalex.org/W2000642568","https://openalex.org/W2019969751","https://openalex.org/W2026317840","https://openalex.org/W2026944800","https://openalex.org/W2033625452","https://openalex.org/W2034131493","https://openalex.org/W2042552555","https://openalex.org/W2056575218","https://openalex.org/W2060880193","https://openalex.org/W2063231447","https://openalex.org/W2066766330","https://openalex.org/W2067476801","https://openalex.org/W2075426242","https://openalex.org/W2124762879","https://openalex.org/W2133930283","https://openalex.org/W2170831059","https://openalex.org/W2172695686","https://openalex.org/W2181660280","https://openalex.org/W2195982063","https://openalex.org/W3080921346"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}