{"id":"https://openalex.org/W3184572569","doi":"https://doi.org/10.1007/pl00013833","title":"A Polynomial-Time Algorithm for Learning Noisy Linear Threshold Functions","display_name":"A Polynomial-Time Algorithm for Learning Noisy Linear Threshold Functions","publication_year":1998,"publication_date":"1998-09-01","ids":{"openalex":"https://openalex.org/W3184572569","doi":"https://doi.org/10.1007/pl00013833","mag":"3184572569"},"language":"en","primary_location":{"id":"doi:10.1007/pl00013833","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00013833","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5024803432","display_name":"Avrim Blum","orcid":"https://orcid.org/0000-0003-2450-5102"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Blum","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Frieze","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA. af1p@andrew.cmu.edu., , , , , , US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA. af1p@andrew.cmu.edu., , , , , , US","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059436381","display_name":"Ravi Kannan","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Kannan","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085424042","display_name":"S. Vempala","orcid":"https://orcid.org/0000-0002-5855-4503"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Vempala","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., , , , , , US","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA. {avrim, kannan+,svempala}@cs.cmu.edu., US","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024803432"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.8704,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.94194404,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"22","issue":"1-2","first_page":"35","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","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/T12072","display_name":"Machine Learning and Algorithms","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/T10320","display_name":"Neural Networks and Applications","score":0.9901999831199646,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9789000153541565,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5977135896682739},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5862133502960205},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5753259062767029},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.47694483399391174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4680699110031128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4608480632305145},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3427388668060303}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5977135896682739},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5862133502960205},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5753259062767029},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47694483399391174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4680699110031128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4608480632305145},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3427388668060303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00013833","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00013833","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1520252399","https://openalex.org/W1990538552","https://openalex.org/W2003538045","https://openalex.org/W2069955756","https://openalex.org/W2084310470","https://openalex.org/W2086789740","https://openalex.org/W2093717447","https://openalex.org/W2126144052","https://openalex.org/W2171574551","https://openalex.org/W2322002063","https://openalex.org/W2329579984","https://openalex.org/W2333814403"],"related_works":["https://openalex.org/W3089684342","https://openalex.org/W2107287896","https://openalex.org/W1989776440","https://openalex.org/W2357379321","https://openalex.org/W2376371093","https://openalex.org/W2994472922","https://openalex.org/W2403834848","https://openalex.org/W2144518319","https://openalex.org/W2040443294","https://openalex.org/W3100477413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}