{"id":"https://openalex.org/W1605660994","doi":"https://doi.org/10.1007/978-3-642-11620-9_23","title":"Sampling and Stability","display_name":"Sampling and Stability","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1605660994","doi":"https://doi.org/10.1007/978-3-642-11620-9_23","mag":"1605660994"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11620-9_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11620-9_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":"book-chapter","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/A5110275232","display_name":"Christian Rieger","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Rieger","raw_affiliation_strings":["Institut f\u00fcr numerische Simulation Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Wegelerstr. 6, 53115, Bonn, Germany","Institut f\u00fcr numerische Simulation Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr numerische Simulation Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Wegelerstr. 6, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institut f\u00fcr numerische Simulation Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085097073","display_name":"Robert Schaback","orcid":"https://orcid.org/0000-0001-7828-4355"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Schaback","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, Lotzestra\u00dfe 16-18, D-37083, G\u00f6ttingen, Germany","#N##N#Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, Lotzestra\u00dfe 16-18, D-37083, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]},{"raw_affiliation_string":"#N##N#Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009623277","display_name":"Barbara Zwicknagl","orcid":"https://orcid.org/0000-0002-6394-0775"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Zwicknagl","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","Institut f\u00fcr Angewandte Mathematik Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Bonn, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik Hausdorff-Zentrum f\u00fcr Mathematik, Universit\u00e4t Bonn, Bonn, Germany#TAB#","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":11.9057,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.98176051,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"347","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9969000220298767,"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/sampling","display_name":"Sampling (signal processing)","score":0.5541113615036011},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5385867357254028},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5238982439041138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5109438300132751},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4696497321128845},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.45604637265205383},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.43206527829170227},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4125937223434448},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.361386775970459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26884543895721436},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.2069535255432129}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5541113615036011},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5385867357254028},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5238982439041138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109438300132751},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4696497321128845},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.45604637265205383},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.43206527829170227},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4125937223434448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.361386775970459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26884543895721436},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2069535255432129},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-11620-9_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11620-9_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:CiteSeerX.psu:10.1.1.150.8579","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.8579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.num.math.uni-goettingen.de/schaback/research/papers/SaS.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W93885277","https://openalex.org/W166906646","https://openalex.org/W186405059","https://openalex.org/W597932189","https://openalex.org/W849374868","https://openalex.org/W1486164486","https://openalex.org/W1491507172","https://openalex.org/W1492326914","https://openalex.org/W1524383063","https://openalex.org/W1588278606","https://openalex.org/W1613774282","https://openalex.org/W1988473367","https://openalex.org/W1989908085","https://openalex.org/W1999020064","https://openalex.org/W1999025826","https://openalex.org/W2003971308","https://openalex.org/W2012501405","https://openalex.org/W2020404065","https://openalex.org/W2041099140","https://openalex.org/W2041620610","https://openalex.org/W2042396553","https://openalex.org/W2043244576","https://openalex.org/W2047278710","https://openalex.org/W2056649561","https://openalex.org/W2068747137","https://openalex.org/W2070330278","https://openalex.org/W2089245375","https://openalex.org/W2102551828","https://openalex.org/W2121033924","https://openalex.org/W2123805128","https://openalex.org/W2140348539","https://openalex.org/W2146766088","https://openalex.org/W2150695134","https://openalex.org/W2152382137","https://openalex.org/W2156512439","https://openalex.org/W2156735625","https://openalex.org/W2156909104","https://openalex.org/W2157213901","https://openalex.org/W2158781299","https://openalex.org/W2161920802","https://openalex.org/W2535756153","https://openalex.org/W3023786531","https://openalex.org/W4245558064","https://openalex.org/W4292166829","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2393022482","https://openalex.org/W2377346130","https://openalex.org/W2361092061","https://openalex.org/W2319775965","https://openalex.org/W2357314690","https://openalex.org/W2191886813","https://openalex.org/W1986317414","https://openalex.org/W2163394011","https://openalex.org/W2795976185","https://openalex.org/W2353606679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
