{"id":"https://openalex.org/W4244709951","doi":"https://doi.org/10.1007/s10208-007-9003-z","title":"Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Average Case Setting","display_name":"Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Average Case Setting","publication_year":2007,"publication_date":"2007-07-13","ids":{"openalex":"https://openalex.org/W4244709951","doi":"https://doi.org/10.1007/s10208-007-9003-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-007-9003-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9003-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-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/A5108821523","display_name":"G.W. Wasilkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. W. Wasilkowski","raw_affiliation_strings":["Department of Computer Science, University of Kentucky, Lexington, KY, 40506, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Kentucky, Lexington, KY, 40506, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113538000","display_name":"H. Wo\u017aniakowski","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"H. Wo\u017aniakowski","raw_affiliation_strings":["Department of Computer Science, Columbia University, New York, NY, 10027, USA","Institute of Applied Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warszawa, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Columbia University, New York, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Institute of Applied Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warszawa, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108821523"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5175,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83789523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"1","first_page":"105","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998999834060669,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998999834060669,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8815797567367554},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.6752992868423462},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6302558779716492},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5925220251083374},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5235678553581238},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4844520092010498},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4670274257659912},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.4305221438407898},{"id":"https://openalex.org/keywords/gaussian-measure","display_name":"Gaussian measure","score":0.4286684989929199},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4269565939903259},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4228585958480835},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4182993769645691},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40360337495803833},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.38790905475616455},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.375571608543396},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.3466168940067291},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23754504323005676},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13008961081504822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8815797567367554},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.6752992868423462},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6302558779716492},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5925220251083374},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5235678553581238},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4844520092010498},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4670274257659912},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4305221438407898},{"id":"https://openalex.org/C2777630202","wikidata":"https://www.wikidata.org/wiki/Q5527840","display_name":"Gaussian measure","level":3,"score":0.4286684989929199},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4269565939903259},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4228585958480835},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4182993769645691},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40360337495803833},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.38790905475616455},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.375571608543396},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3466168940067291},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23754504323005676},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13008961081504822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-007-9003-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9003-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W39759813","https://openalex.org/W88263957","https://openalex.org/W152683667","https://openalex.org/W1992068214","https://openalex.org/W2004971474","https://openalex.org/W2013576021","https://openalex.org/W2017309389","https://openalex.org/W2027669629","https://openalex.org/W2036411481","https://openalex.org/W2041530119","https://openalex.org/W2043466875","https://openalex.org/W2055492244","https://openalex.org/W2075391389","https://openalex.org/W2083613801","https://openalex.org/W2085536377","https://openalex.org/W2091096196","https://openalex.org/W2092905979","https://openalex.org/W2101589741","https://openalex.org/W3021898623","https://openalex.org/W4292295000"],"related_works":["https://openalex.org/W4249657473","https://openalex.org/W4244157369","https://openalex.org/W4249630970","https://openalex.org/W4237771651","https://openalex.org/W2099921618","https://openalex.org/W3121881699","https://openalex.org/W4247833859","https://openalex.org/W1677838634","https://openalex.org/W224310767","https://openalex.org/W4293875273"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
