{"id":"https://openalex.org/W1488909709","doi":"https://doi.org/10.1007/11752790_13","title":"Generalization Bounds for Subspace Selection and Hyperbolic PCA","display_name":"Generalization Bounds for Subspace Selection and Hyperbolic PCA","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1488909709","doi":"https://doi.org/10.1007/11752790_13","mag":"1488909709"},"language":"en","primary_location":{"id":"doi:10.1007/11752790_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11752790_13","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/A5008737035","display_name":"Andreas Maurer","orcid":"https://orcid.org/0000-0002-2916-7475"},"institutions":[{"id":"https://openalex.org/I37101380","display_name":"Munich Business School","ror":"https://ror.org/00jw3g525","country_code":"DE","type":"education","lineage":["https://openalex.org/I37101380"]},{"id":"https://openalex.org/I4210121101","display_name":"M\u00fcnchen Klinik","ror":"https://ror.org/03pfshj32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210121101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Maurer","raw_affiliation_strings":["Adalbertstr. 55, D-80799, M\u00fcnchen, Germany","M\u00fcnchen#TAB#"],"affiliations":[{"raw_affiliation_string":"Adalbertstr. 55, D-80799, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I37101380"]},{"raw_affiliation_string":"M\u00fcnchen#TAB#","institution_ids":["https://openalex.org/I4210121101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008737035"],"corresponding_institution_ids":["https://openalex.org/I37101380","https://openalex.org/I4210121101"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9041,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7233402,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"185","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11236","display_name":"Control Systems and Identification","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7541959285736084},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6779881119728088},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6286320686340332},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.5415437817573547},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5336599349975586},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5242055654525757},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5217245817184448},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48229220509529114},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.47677233815193176},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.45665302872657776},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.44389045238494873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3951905071735382},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3805469274520874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.330837607383728},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.232060045003891},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13693761825561523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08609610795974731}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7541959285736084},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6779881119728088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6286320686340332},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.5415437817573547},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5336599349975586},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5242055654525757},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5217245817184448},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48229220509529114},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.47677233815193176},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.45665302872657776},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44389045238494873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3951905071735382},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3805469274520874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.330837607383728},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.232060045003891},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13693761825561523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08609610795974731},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":1,"locations":[{"id":"doi:10.1007/11752790_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11752790_13","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W99485931","https://openalex.org/W1546851689","https://openalex.org/W1608733719","https://openalex.org/W1981276685","https://openalex.org/W2012908927","https://openalex.org/W2105732805","https://openalex.org/W2117154949","https://openalex.org/W2126204609","https://openalex.org/W2139095575","https://openalex.org/W2150890663","https://openalex.org/W2152010828","https://openalex.org/W2162888803","https://openalex.org/W2172405120","https://openalex.org/W2579923771","https://openalex.org/W2999905431","https://openalex.org/W3022552533","https://openalex.org/W3104240813","https://openalex.org/W3147322592","https://openalex.org/W4241684091","https://openalex.org/W4301425558"],"related_works":["https://openalex.org/W2065805792","https://openalex.org/W4285290579","https://openalex.org/W1637798125","https://openalex.org/W149320920","https://openalex.org/W2367926634","https://openalex.org/W3125885229","https://openalex.org/W2896570485","https://openalex.org/W1527525543","https://openalex.org/W2370512383","https://openalex.org/W2962818398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}