{"id":"https://openalex.org/W1977601760","doi":"https://doi.org/10.1007/s00454-013-9561-6","title":"Dimension Reduction by Random Hyperplane Tessellations","display_name":"Dimension Reduction by Random Hyperplane Tessellations","publication_year":2013,"publication_date":"2013-12-17","ids":{"openalex":"https://openalex.org/W1977601760","doi":"https://doi.org/10.1007/s00454-013-9561-6","mag":"1977601760"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-013-9561-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-013-9561-6","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","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/A5018866413","display_name":"Yaniv Plan","orcid":"https://orcid.org/0000-0002-9930-0980"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaniv Plan","raw_affiliation_strings":["Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI, 48109, USA","(University of Michigan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI, 48109, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070281692","display_name":"Roman Vershynin","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roman Vershynin","raw_affiliation_strings":["Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI, 48109, USA","(University of Michigan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI, 48109, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":15.6363,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.9952097,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"51","issue":"2","first_page":"438","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9994000196456909,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9943000078201294,"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/hyperplane","display_name":"Hyperplane","score":0.8961172103881836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8491494059562683},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.83189457654953},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5767484903335571},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5604525804519653},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.47621259093284607},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.439802348613739},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.43230095505714417},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.42300617694854736},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3936092257499695},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13708847761154175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10951054096221924}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.8961172103881836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8491494059562683},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.83189457654953},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5767484903335571},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5604525804519653},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.47621259093284607},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.439802348613739},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.43230095505714417},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.42300617694854736},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3936092257499695},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13708847761154175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10951054096221924}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-013-9561-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-013-9561-6","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W586055246","https://openalex.org/W1531368347","https://openalex.org/W1539609250","https://openalex.org/W1546851689","https://openalex.org/W1981387412","https://openalex.org/W1985123706","https://openalex.org/W1998058722","https://openalex.org/W2012833704","https://openalex.org/W2060430274","https://openalex.org/W2068871408","https://openalex.org/W2070944235","https://openalex.org/W2088101210","https://openalex.org/W2093813380","https://openalex.org/W2112038498","https://openalex.org/W2113385666","https://openalex.org/W2118365837","https://openalex.org/W2135498906","https://openalex.org/W2145065594","https://openalex.org/W2145218531","https://openalex.org/W2167816765","https://openalex.org/W2218123399","https://openalex.org/W2496163386","https://openalex.org/W2604272474","https://openalex.org/W2951692209","https://openalex.org/W2979473749","https://openalex.org/W3097609957","https://openalex.org/W4255489524","https://openalex.org/W4301425558","https://openalex.org/W6722859720"],"related_works":["https://openalex.org/W2302475777","https://openalex.org/W4298023322","https://openalex.org/W2256269822","https://openalex.org/W2347354630","https://openalex.org/W4294294347","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W2610298398","https://openalex.org/W2962845080","https://openalex.org/W2404658402"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
