{"id":"https://openalex.org/W2102300167","doi":null,"title":"Robust Nonparametric Regression with Metric-Space Valued Output","display_name":"Robust Nonparametric Regression with Metric-Space Valued Output","publication_year":2009,"publication_date":"2009-12-07","ids":{"openalex":"https://openalex.org/W2102300167","mag":"2102300167"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.7402","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.7402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://books.nips.cc/papers/files/nips22/NIPS2009_0975.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5025830560","display_name":"Matthias Hein","orcid":"https://orcid.org/0000-0002-8751-7760","observed_orcids":["https://orcid.org/0000-0002-8751-7760"]},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Hein","raw_affiliation_strings":["Dept. of Comput. Sci., Saarland Univ., Saarbru\u0308cken, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8751-7760","affiliations":[{"raw_affiliation_string":"Dept. of Comput. Sci., Saarland Univ., Saarbru\u0308cken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025830560"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":0.2541,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.63491486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"22","issue":null,"first_page":"718","last_page":"726"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.5288000106811523,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.5288000106811523,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.09179999679327011,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.0714000016450882,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robust-nonparametric-regression","display_name":"robust nonparametric regression","score":0.9200000166893005},{"id":"https://openalex.org/keywords/kernel-smoothing","display_name":"kernel smoothing","score":0.5820000171661377},{"id":"https://openalex.org/keywords/pointwise-consistency","display_name":"pointwise consistency","score":0.9769999980926514},{"id":"https://openalex.org/keywords/structured-prediction","display_name":"structured prediction","score":0.8610000014305115},{"id":"https://openalex.org/keywords/multiclass-classification","display_name":"multi-class classification","score":0.8579999804496765}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7572355270385742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7320936918258667},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7025133371353149},{"id":"https://openalex.org/C74127309","wikidata":"https://www.wikidata.org/wiki/Q3455886","display_name":"Nonparametric regression","level":3,"score":0.5885868668556213},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5202418565750122},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4902539551258087},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4468499422073364},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.434776246547699},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4243868291378021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39351797103881836},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28810787200927734},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.7402","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.7402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://books.nips.cc/papers/files/nips22/NIPS2009_0975.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.702.6285","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.702.6285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ml.uni-saarland.de/Publications/Hein-RobustNonparametricRegressionMetricOutput.pdf","raw_type":"text"},{"id":"mag:2102300167","doi":null,"is_oa":false,"landing_page_url":"https://papers.nips.cc/paper/3649-robust-nonparametric-regression-with-metric-space-valued-output.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4363606243","display_name":"neural information processing systems","issn_l":"1049-5258","issn":["1049-5258"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Neural Information Processing Systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W625600254","https://openalex.org/W820606093","https://openalex.org/W1484867920","https://openalex.org/W1563644419","https://openalex.org/W1907195750","https://openalex.org/W2001907516","https://openalex.org/W2007622809","https://openalex.org/W2017113750","https://openalex.org/W2040125300","https://openalex.org/W2056107007","https://openalex.org/W2072931016","https://openalex.org/W2074268428","https://openalex.org/W2077303640","https://openalex.org/W2096610373","https://openalex.org/W2105842272","https://openalex.org/W2109409043","https://openalex.org/W2125391899","https://openalex.org/W2126564540","https://openalex.org/W2798766386"],"related_works":["https://openalex.org/W2081010655","https://openalex.org/W7098845180","https://openalex.org/W2007622809","https://openalex.org/W4297395160","https://openalex.org/W2152790960","https://openalex.org/W2295590120","https://openalex.org/W1738645505","https://openalex.org/W2911273279","https://openalex.org/W1998231903","https://openalex.org/W2616071654"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"recent":[2],"developments":[3],"in":[4,46,85],"manifold-valued":[5,51,72,92],"regression":[6,45,49,70],"we":[7,64],"propose":[8],"a":[9],"family":[10,87],"of":[11,27,57,69,91,99],"nonparametric":[12],"kernel-smoothing":[13],"estimators":[14,84,101],"with":[15,50,71,102],"metric-space":[16],"valued":[17],"output":[18,29,52,59,93],"including":[19],"several":[20],"robust":[21],"versions.":[22],"Depending":[23],"on":[24,66],"the":[25,28,32,34,67,86,89,96,100],"choice":[26],"space":[30],"and":[31,53,74,79,94],"metric":[33],"estimator":[35],"reduces":[36],"to":[37],"partially":[38],"well-known":[39],"procedures":[40],"for":[41,82,88],"multi-class":[42],"classification,":[43],"multivariate":[44],"Euclidean":[47],"space,":[48],"even":[54],"some":[55],"cases":[56],"structured":[58],"learning.":[60],"In":[61],"this":[62],"paper":[63],"focus":[65],"case":[68,90],"input":[73],"output.":[75],"We":[76],"show":[77],"pointwise":[78],"Bayes":[80],"consistency":[81],"all":[83],"illustrate":[95],"robustness":[97],"properties":[98],"experiments.":[103],"1":[104]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}