{"id":"https://openalex.org/W2271078423","doi":"https://doi.org/10.1007/s00454-016-9847-6","title":"What Happens to a Manifold Under a Bi-Lipschitz Map?","display_name":"What Happens to a Manifold Under a Bi-Lipschitz Map?","publication_year":2016,"publication_date":"2016-12-20","ids":{"openalex":"https://openalex.org/W2271078423","doi":"https://doi.org/10.1007/s00454-016-9847-6","mag":"2271078423"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-016-9847-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9847-6","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 & 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/A5086280273","display_name":"Armin Eftekhari","orcid":"https://orcid.org/0000-0001-8202-6316"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Armin Eftekhari","raw_affiliation_strings":["Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, 201 East 24th St., POB 3.420, Austin, TX, 78712, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, 201 East 24th St., POB 3.420, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065207980","display_name":"Michael B. Wakin","orcid":"https://orcid.org/0000-0002-2165-4586"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael B. Wakin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Colorado School of Mines, 1500 Illinois St., Golden, CO, 80401, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Colorado School of Mines, 1500 Illinois St., Golden, CO, 80401, USA","institution_ids":["https://openalex.org/I167576493"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065207980"],"corresponding_institution_ids":["https://openalex.org/I167576493"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.6304,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84751365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"3","first_page":"641","last_page":"673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8423187732696533},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.8125491142272949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7521365284919739},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6821624040603638},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6369690299034119},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4828263223171234},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4333949685096741},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40714094042778015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4032730758190155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14672908186912537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10825365781784058}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8423187732696533},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.8125491142272949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7521365284919739},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6821624040603638},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6369690299034119},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4828263223171234},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4333949685096741},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40714094042778015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4032730758190155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14672908186912537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10825365781784058},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-016-9847-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9847-6","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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2677335170","display_name":null,"funder_award_id":"CCF-1409258","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8992743590","display_name":null,"funder_award_id":"CAREER Grant CCF-1149225","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W310341204","https://openalex.org/W1488435683","https://openalex.org/W1974973278","https://openalex.org/W1986736933","https://openalex.org/W1997516668","https://openalex.org/W2001141328","https://openalex.org/W2015418199","https://openalex.org/W2015839735","https://openalex.org/W2030880837","https://openalex.org/W2044060118","https://openalex.org/W2104608642","https://openalex.org/W2107179775","https://openalex.org/W2119667497","https://openalex.org/W2126131432","https://openalex.org/W2133740040","https://openalex.org/W2137825973","https://openalex.org/W2153072115","https://openalex.org/W2155067269","https://openalex.org/W2157878484","https://openalex.org/W2296616510","https://openalex.org/W2323306416","https://openalex.org/W2963030988","https://openalex.org/W4213171111","https://openalex.org/W4242771523","https://openalex.org/W4250955649","https://openalex.org/W4251374724","https://openalex.org/W4253175466"],"related_works":["https://openalex.org/W2359343145","https://openalex.org/W2228423531","https://openalex.org/W4281917972","https://openalex.org/W4390092712","https://openalex.org/W2244708326","https://openalex.org/W3119140586","https://openalex.org/W2897270052","https://openalex.org/W2593232824","https://openalex.org/W2893392424","https://openalex.org/W2952670135"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}