{"id":"https://openalex.org/W2140426691","doi":"https://doi.org/10.1145/2608628.2608637","title":"Sparse multivariate function recovery with a high error rate in the evaluations","display_name":"Sparse multivariate function recovery with a high error rate in the evaluations","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2140426691","doi":"https://doi.org/10.1145/2608628.2608637","mag":"2140426691"},"language":"en","primary_location":{"id":"doi:10.1145/2608628.2608637","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th International Symposium on Symbolic and Algebraic 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/A5056874049","display_name":"Erich Kaltofen","orcid":"https://orcid.org/0000-0003-2739-3230"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erich L. Kaltofen","raw_affiliation_strings":["North Carolina State University, Raleigh, NC","North Carolina State University, Raleigh, NC;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University, Raleigh, NC","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"North Carolina State University, Raleigh, NC;","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103026076","display_name":"Zhengfeng Yang","orcid":"https://orcid.org/0000-0001-6316-1723"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengfeng Yang","raw_affiliation_strings":["East China Normal University Shanghai, China","East China Normal University, SHANGHAI, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"East China Normal University Shanghai, China","institution_ids":["https://openalex.org/I66867065"]},{"raw_affiliation_string":"East China Normal University, SHANGHAI, China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3589,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89582739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"280","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9954000115394592,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.8360092639923096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5925912857055664},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5529720783233643},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5291293859481812},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.507715106010437},{"id":"https://openalex.org/keywords/word-error-rate","display_name":"Word error rate","score":0.48480334877967834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.472086638212204},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.444868803024292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43655237555503845},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.428209125995636},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4161931276321411},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.35818707942962646},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23309975862503052},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.21047046780586243}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.8360092639923096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5925912857055664},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5529720783233643},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5291293859481812},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.507715106010437},{"id":"https://openalex.org/C40969351","wikidata":"https://www.wikidata.org/wiki/Q3516228","display_name":"Word error rate","level":2,"score":0.48480334877967834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.472086638212204},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.444868803024292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43655237555503845},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.428209125995636},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4161931276321411},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35818707942962646},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23309975862503052},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.21047046780586243},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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:10.1145/2608628.2608637","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4237839936","display_name":null,"funder_award_id":"CCF-1115772 (Kaltofen)","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1599026900","https://openalex.org/W1839939717","https://openalex.org/W1965254799","https://openalex.org/W1970815075","https://openalex.org/W1977375620","https://openalex.org/W1999352252","https://openalex.org/W2001343527","https://openalex.org/W2018522516","https://openalex.org/W2026317840","https://openalex.org/W2028186291","https://openalex.org/W2044993127","https://openalex.org/W2065263603","https://openalex.org/W2070279173","https://openalex.org/W2083005904","https://openalex.org/W2100899126","https://openalex.org/W2126318803","https://openalex.org/W2129638195","https://openalex.org/W2133040107","https://openalex.org/W2139986679","https://openalex.org/W2144770505","https://openalex.org/W2740986359","https://openalex.org/W3101217236"],"related_works":["https://openalex.org/W3006513224","https://openalex.org/W2046456988","https://openalex.org/W2357409937","https://openalex.org/W3203142394","https://openalex.org/W2978674666","https://openalex.org/W2074430941","https://openalex.org/W2113096305","https://openalex.org/W4302615923","https://openalex.org/W2580722822","https://openalex.org/W2383860647"],"abstract_inverted_index":{"In":[0],"[Kaltofen":[1],"and":[2,26,101],"Yang,":[3],"Proc.":[4],"ISSAC":[5,64],"2013]":[6],"we":[7,36,76],"have":[8,31],"generalized":[9],"algebraic":[10],"error-correcting":[11],"decoding":[12],"to":[13],"multivariate":[14,46],"sparse":[15,45],"rational":[16,47],"function":[17,48],"interpolation":[18],"from":[19,49],"evaluations":[20,29,50,93,110],"that":[21,41],"can":[22,30,42],"be":[23],"numerically":[24],"inaccurate":[25],"where":[27,51,102],"several":[28],"severe":[32],"errors":[33],"(\"outliers\").":[34],"Here":[35],"present":[37],"a":[38,44,73,81],"different":[39],"algorithm":[40,66,75],"interpolate":[43],"the":[52,108],"error":[53,115],"rate":[54],"is":[55],"1/q":[56],"for":[57,78],"any":[58],"q":[59],">":[60],"2,":[61],"which":[62],"our":[63,126],"2013":[65],"could":[67],"not":[68],"handle.":[69],"When":[70],"implemented":[71],"as":[72,97,99,103,105,116,118],"numerical":[74],"can,":[77],"instance,":[79],"reconstruct":[80],"fraction":[82],"of":[83,85,94,107],"trinomials":[84],"degree":[86],"15":[87],"in":[88],"50":[89],"variables":[90],"with":[91,113],"non-outlier":[92],"relative":[95,114],"noise":[96],"large":[98],"10-7":[100],"much":[104],"1/4":[106],"14717":[109],"are":[111,122],"outliers":[112,121],"small":[117],"0.01":[119],"(large":[120],"easily":[123],"located":[124],"by":[125],"method).":[127]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
