{"id":"https://openalex.org/W3159865367","doi":"https://doi.org/10.1007/978-3-030-85633-5_6","title":"Interpretable Exact Linear Reductions via Positivity","display_name":"Interpretable Exact Linear Reductions via Positivity","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3159865367","doi":"https://doi.org/10.1007/978-3-030-85633-5_6","mag":"3159865367"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-85633-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85633-5_6","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":"book-chapter","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.14180","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012130065","display_name":"Gleb Pogudin","orcid":"https://orcid.org/0000-0002-5731-8242"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Gleb Pogudin","raw_affiliation_strings":["LIX, CNRS, \u00c9cole Polytechnique, Institute Polytechnique de Paris, Palaiseau, France","Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]"],"affiliations":[{"raw_affiliation_string":"LIX, CNRS, \u00c9cole Polytechnique, Institute Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xingjian Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xingjian Zhang","raw_affiliation_strings":["\u00c9cole Polytechnique, Institute Polytechnique de Paris, Palaiseau, France","Ecole Polytechnique"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, Institute Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"Ecole Polytechnique","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012130065"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07396552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.8680999875068665,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.8680999875068665,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.040300000458955765,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.008999999612569809,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.7185338139533997},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6651325225830078},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5619292855262756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5453769564628601},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.545211672782898},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5340251922607422},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5122896432876587},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4860565960407257},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.4678187072277069},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4650391936302185},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.445600688457489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4201376438140869},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19880610704421997},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1360032558441162}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.7185338139533997},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6651325225830078},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5619292855262756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5453769564628601},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.545211672782898},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5340251922607422},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5122896432876587},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4860565960407257},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.4678187072277069},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4650391936302185},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.445600688457489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4201376438140869},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19880610704421997},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1360032558441162},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-85633-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85633-5_6","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:2104.14180","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14180","pdf_url":"https://arxiv.org/pdf/2104.14180","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":"pmh:oai:HAL:hal-03826842v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03826842","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":"Computational Methods in Systems Biology, Sep 2021, Bordeaux (France), France. pp.91-107, &#x27E8;10.1007/978-3-030-85633-5_6&#x27E9;","raw_type":"Conference papers"},{"id":"doi:10.48550/arxiv.2104.14180","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.14180","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:2104.14180","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14180","pdf_url":"https://arxiv.org/pdf/2104.14180","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":21,"referenced_works":["https://openalex.org/W1503586314","https://openalex.org/W1551480811","https://openalex.org/W1963547452","https://openalex.org/W1991528957","https://openalex.org/W2012621335","https://openalex.org/W2016493782","https://openalex.org/W2040860090","https://openalex.org/W2059145118","https://openalex.org/W2068047620","https://openalex.org/W2071523020","https://openalex.org/W2121490181","https://openalex.org/W2126464248","https://openalex.org/W2139941949","https://openalex.org/W2147985467","https://openalex.org/W2233474732","https://openalex.org/W2597410810","https://openalex.org/W2616230563","https://openalex.org/W2752491749","https://openalex.org/W3104644146","https://openalex.org/W3127148005","https://openalex.org/W4206570602"],"related_works":["https://openalex.org/W2027331439","https://openalex.org/W2282507531","https://openalex.org/W4311922918","https://openalex.org/W4307320415","https://openalex.org/W2098162112","https://openalex.org/W4362029000","https://openalex.org/W2147061150","https://openalex.org/W2371839079","https://openalex.org/W3164589092","https://openalex.org/W2952130664"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-05-10T00:00:00"}
