{"id":"https://openalex.org/W2013795118","doi":"https://doi.org/10.1007/s10208-011-9103-7","title":"Model Selection for Simplicial Approximation","display_name":"Model Selection for Simplicial Approximation","publication_year":2011,"publication_date":"2011-11-04","ids":{"openalex":"https://openalex.org/W2013795118","doi":"https://doi.org/10.1007/s10208-011-9103-7","mag":"2013795118"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-011-9103-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-011-9103-7","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00402091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063963272","display_name":"Claire Caillerie","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Claire Caillerie","raw_affiliation_strings":["INRIA Saclay, Parc Club Orsay Universit\u00e9, 2-4 rue Jacques Monod, 91893, Orsay Cedex, France","Parc Club Orsay Universit\u00e9, INRIA Saclay, 2-4 rue Jacques Monod, 91893, Orsay Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay, Parc Club Orsay Universit\u00e9, 2-4 rue Jacques Monod, 91893, Orsay Cedex, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Parc Club Orsay Universit\u00e9, INRIA Saclay, 2-4 rue Jacques Monod, 91893, Orsay Cedex, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022113367","display_name":"Bertrand Michel","orcid":"https://orcid.org/0000-0002-5901-4146"},"institutions":[{"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":"Bertrand Michel","raw_affiliation_strings":["LSTA UPMC, 4 place Jussieu, 75252, Paris cedex 05, France","LSTA UPMC, 4 place Jussieu, 75252, Paris cedex 05, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LSTA UPMC, 4 place Jussieu, 75252, Paris cedex 05, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"LSTA UPMC, 4 place Jussieu, 75252, Paris cedex 05, France#TAB#","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063963272"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9641,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75182695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"6","first_page":"707","last_page":"731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.9768999814987183,"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/mathematics","display_name":"Mathematics","score":0.7498036623001099},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.726360023021698},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6754815578460693},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.595997154712677},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5609865188598633},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.45423999428749084},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45272448658943176},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.4454765319824219},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43248796463012695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3191184997558594},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2331451177597046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1981188952922821},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1632676124572754},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1448136568069458},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.12973925471305847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7498036623001099},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.726360023021698},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6754815578460693},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.595997154712677},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5609865188598633},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.45423999428749084},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45272448658943176},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.4454765319824219},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43248796463012695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3191184997558594},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2331451177597046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1981188952922821},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1632676124572754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1448136568069458},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.12973925471305847},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-011-9103-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-011-9103-7","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.229.194","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.229.194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/41/76/60/PDF/RR-6981.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00402091v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00402091","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":"[Research Report] RR-6981, INRIA. 2009","raw_type":"Reports"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00402091v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00402091","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":"[Research Report] RR-6981, INRIA. 2009","raw_type":"Reports"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W156419107","https://openalex.org/W370143576","https://openalex.org/W995630646","https://openalex.org/W1480300339","https://openalex.org/W1506069954","https://openalex.org/W1506806321","https://openalex.org/W1530584557","https://openalex.org/W1537193711","https://openalex.org/W1554944419","https://openalex.org/W1604976407","https://openalex.org/W1663973292","https://openalex.org/W1968512439","https://openalex.org/W1980267728","https://openalex.org/W1995771589","https://openalex.org/W1996268356","https://openalex.org/W2001887552","https://openalex.org/W2009435671","https://openalex.org/W2013613854","https://openalex.org/W2042383323","https://openalex.org/W2043227116","https://openalex.org/W2045315876","https://openalex.org/W2049633694","https://openalex.org/W2058815839","https://openalex.org/W2061904849","https://openalex.org/W2063776392","https://openalex.org/W2075782558","https://openalex.org/W2078290150","https://openalex.org/W2079356438","https://openalex.org/W2085781938","https://openalex.org/W2089460110","https://openalex.org/W2126750886","https://openalex.org/W2127218421","https://openalex.org/W2132914434","https://openalex.org/W2144044408","https://openalex.org/W2144544875","https://openalex.org/W2146610201","https://openalex.org/W2148619227","https://openalex.org/W2157878484","https://openalex.org/W2166322089","https://openalex.org/W2166993911","https://openalex.org/W2167121755","https://openalex.org/W2168175751","https://openalex.org/W2171033594","https://openalex.org/W2299467264","https://openalex.org/W2897129259","https://openalex.org/W2990138404","https://openalex.org/W3013843370","https://openalex.org/W3040586665","https://openalex.org/W3099807875","https://openalex.org/W4234610333","https://openalex.org/W4246048519","https://openalex.org/W4250483685","https://openalex.org/W4291439952","https://openalex.org/W6632909133"],"related_works":["https://openalex.org/W4288359443","https://openalex.org/W2969857904","https://openalex.org/W2943582562","https://openalex.org/W4384112204","https://openalex.org/W2399269288","https://openalex.org/W2953190840","https://openalex.org/W230527091","https://openalex.org/W4206371202","https://openalex.org/W2594695868","https://openalex.org/W2593735390"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}