{"id":"https://openalex.org/W3135782383","doi":"https://doi.org/10.1007/978-3-030-81293-5_23","title":"An Algebraic Approach to the Rank Support Learning Problem","display_name":"An Algebraic Approach to the Rank Support Learning Problem","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135782383","doi":"https://doi.org/10.1007/978-3-030-81293-5_23","mag":"3135782383"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-81293-5_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81293-5_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.03558","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030839978","display_name":"Magali Bardet","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Magali Bardet","raw_affiliation_strings":["Inria, Team COSMIQ, Paris, France","LITIS, University of Rouen Normandie, Rouen, France","CA - LITIS, COSMIQ"],"affiliations":[{"raw_affiliation_string":"Inria, Team COSMIQ, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LITIS, University of Rouen Normandie, Rouen, France","institution_ids":["https://openalex.org/I4210108118","https://openalex.org/I62396329"]},{"raw_affiliation_string":"CA - LITIS, COSMIQ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059867946","display_name":"Pierre Briaud","orcid":"https://orcid.org/0000-0002-0191-3181"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Briaud","raw_affiliation_strings":["Inria, Team COSMIQ, Paris, France","Sorbonne Universit\u00e9s, UPMC Univ, Paris 06, France","Sorbonne Universite\u0301"],"affiliations":[{"raw_affiliation_string":"Inria, Team COSMIQ, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ, Paris 06, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Sorbonne Universite\u0301","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030839978"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210108118","https://openalex.org/I62396329"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3585,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52152224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"442","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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":0.9988999962806702,"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/T10237","display_name":"Cryptography and Data Security","score":0.9962999820709229,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7287113666534424},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7124649286270142},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6769130229949951},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5918331146240234},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.5781099796295166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5594143867492676},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5201952457427979},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5165776014328003},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5150537490844727},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.498323917388916},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4791759252548218},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35827410221099854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3185443878173828},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1578027606010437},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.15300396084785461},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08667692542076111}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7287113666534424},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7124649286270142},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6769130229949951},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5918331146240234},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.5781099796295166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5594143867492676},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5201952457427979},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5165776014328003},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5150537490844727},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.498323917388916},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4791759252548218},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35827410221099854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3185443878173828},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1578027606010437},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.15300396084785461},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08667692542076111},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-030-81293-5_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81293-5_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2103.03558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.03558","pdf_url":"https://arxiv.org/pdf/2103.03558","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":"","raw_type":"text"},{"id":"mag:3135782383","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.03558.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03158460v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03158460","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-03158460","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03158460v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03158460","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://pqcrypto2021.kr/","raw_type":"Conference papers"},{"id":"doi:10.48550/arxiv.2103.03558","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.03558","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.03558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.03558","pdf_url":"https://arxiv.org/pdf/2103.03558","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W29805121","https://openalex.org/W1493399411","https://openalex.org/W1674075102","https://openalex.org/W1675339804","https://openalex.org/W1754098121","https://openalex.org/W1849802011","https://openalex.org/W1892123666","https://openalex.org/W1927638654","https://openalex.org/W1965275036","https://openalex.org/W1969557621","https://openalex.org/W2006504364","https://openalex.org/W2025108828","https://openalex.org/W2071483197","https://openalex.org/W2278805587","https://openalex.org/W2732751854","https://openalex.org/W2885670388","https://openalex.org/W2898448716","https://openalex.org/W2913293170","https://openalex.org/W2951162078","https://openalex.org/W2963320596","https://openalex.org/W2978669775","https://openalex.org/W3034712312","https://openalex.org/W3214088256","https://openalex.org/W6601205374","https://openalex.org/W6757015409","https://openalex.org/W6760341664"],"related_works":["https://openalex.org/W3184332903","https://openalex.org/W3113635031","https://openalex.org/W3005797531","https://openalex.org/W3007637508","https://openalex.org/W2626984529","https://openalex.org/W2914200264","https://openalex.org/W2514405074","https://openalex.org/W2913858157","https://openalex.org/W2949931926","https://openalex.org/W1840310247","https://openalex.org/W2960677533","https://openalex.org/W2912572442","https://openalex.org/W2950332948","https://openalex.org/W259464159","https://openalex.org/W2897975387","https://openalex.org/W3034324177","https://openalex.org/W3157411110","https://openalex.org/W3005879804","https://openalex.org/W1972913305","https://openalex.org/W3035750499"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}