{"id":"https://openalex.org/W1954298862","doi":"https://doi.org/10.1109/cvpr.2015.7299186","title":"Local high-order regularization on data manifolds","display_name":"Local high-order regularization on data manifolds","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1954298862","doi":"https://doi.org/10.1109/cvpr.2015.7299186","mag":"1954298862"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2015.7299186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7299186","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.03805","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015742132","display_name":"Kwang In Kim","orcid":"https://orcid.org/0000-0002-6470-4571"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kwang In Kim","raw_affiliation_strings":["Lancaster University","Lancaster University (UK)"],"affiliations":[{"raw_affiliation_string":"Lancaster University","institution_ids":["https://openalex.org/I67415387"]},{"raw_affiliation_string":"Lancaster University (UK)","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070975377","display_name":"James Tompkin","orcid":"https://orcid.org/0000-0003-2218-2899"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James Tompkin","raw_affiliation_strings":["Harvard SEAS","Harvard SEAS, USA"],"affiliations":[{"raw_affiliation_string":"Harvard SEAS","institution_ids":[]},{"raw_affiliation_string":"Harvard SEAS, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043151044","display_name":"Hanspeter Pfister","orcid":"https://orcid.org/0000-0002-3620-2582"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hanspeter Pfister","raw_affiliation_strings":["Harvard SEAS","Harvard SEAS, USA"],"affiliations":[{"raw_affiliation_string":"Harvard SEAS","institution_ids":[]},{"raw_affiliation_string":"Harvard SEAS, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020664641","display_name":"Christian Theobalt","orcid":"https://orcid.org/0000-0001-6104-6625"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Theobalt","raw_affiliation_strings":["MPI for Informatics","MPI for Informatics, Germany"],"affiliations":[{"raw_affiliation_string":"MPI for Informatics","institution_ids":[]},{"raw_affiliation_string":"MPI for Informatics, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015742132"],"corresponding_institution_ids":["https://openalex.org/I67415387"],"apc_list":null,"apc_paid":null,"fwci":0.1872,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57254715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5473","last_page":"5481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9876000285148621,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9750999808311462,"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/regularization","display_name":"Regularization (linguistics)","score":0.5819830298423767},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.576971709728241},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5390737652778625},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.535038411617279},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5318951606750488},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.5232790112495422},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5161793828010559},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5060746073722839},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.5034965872764587},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.49709537625312805},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.47189152240753174},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4477593004703522},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.44133320450782776},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.4334811568260193},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42398127913475037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39367228746414185},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3730379343032837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3650602698326111},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3426520824432373},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32471203804016113}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5819830298423767},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.576971709728241},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5390737652778625},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.535038411617279},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5318951606750488},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.5232790112495422},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5161793828010559},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5060746073722839},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5034965872764587},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.49709537625312805},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.47189152240753174},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4477593004703522},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.44133320450782776},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4334811568260193},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42398127913475037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39367228746414185},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3730379343032837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3650602698326111},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3426520824432373},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32471203804016113},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1109/cvpr.2015.7299186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7299186","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1602.03805","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.03805","pdf_url":"https://arxiv.org/pdf/1602.03805","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:eprints.lancs.ac.uk:73209","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.lancs.ac.uk/id/eprint/73209/1/HighorderRegularization.pdf","source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:pure.mpg.de:item_2376035","is_oa":true,"landing_page_url":"https://hdl.handle.net/11858/00-001M-0000-002C-2428-A","pdf_url":"https://hdl.handle.net/11858/00-001M-0000-002C-242A-6","source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":null,"raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:escidoc.org:escidoc:2376035","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002C-2428-A","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:pure.mpg.de:item_2086512","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0024-B210-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:pure.mpg.de:item_2351917","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002B-9A5F-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/32622","is_oa":false,"landing_page_url":"https://scholarworks.unist.ac.kr/handle/201301/32622","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"CONFERENCE"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.03805","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.03805","pdf_url":"https://arxiv.org/pdf/1602.03805","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G138172645","display_name":"CGV: Large: Collaborative Research: Analyzing Images Through Time","funder_award_id":"1110955","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1499269257","display_name":null,"funder_award_id":"CGV-1110955","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2700901481","display_name":"MODEM - Monitoring Of Dementia using Eye Movements","funder_award_id":"EP/M006255/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G361948359","display_name":null,"funder_award_id":"EPSRC EP","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3625993276","display_name":null,"funder_award_id":"EP/M00533X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6032929899","display_name":"Personalized Exploration of Imagery Database","funder_award_id":"EP/M00533X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6577136078","display_name":null,"funder_award_id":"EP/M006255/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8452545418","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W630560798","https://openalex.org/W1479807131","https://openalex.org/W1517084761","https://openalex.org/W1598905340","https://openalex.org/W1936186068","https://openalex.org/W1944448249","https://openalex.org/W1949248870","https://openalex.org/W1989368986","https://openalex.org/W1996437515","https://openalex.org/W2028605775","https://openalex.org/W2053186076","https://openalex.org/W2097308346","https://openalex.org/W2098054978","https://openalex.org/W2103829273","https://openalex.org/W2109642067","https://openalex.org/W2113063048","https://openalex.org/W2117898853","https://openalex.org/W2121947440","https://openalex.org/W2125194455","https://openalex.org/W2127701157","https://openalex.org/W2131389448","https://openalex.org/W2132914434","https://openalex.org/W2147874349","https://openalex.org/W2156838815","https://openalex.org/W2160814101","https://openalex.org/W2168415715","https://openalex.org/W2398903672","https://openalex.org/W3104165014","https://openalex.org/W3150304496","https://openalex.org/W4238826863","https://openalex.org/W4239890145","https://openalex.org/W4245973528","https://openalex.org/W4300093168","https://openalex.org/W4379184120","https://openalex.org/W6640499739","https://openalex.org/W6640552813","https://openalex.org/W6675996978","https://openalex.org/W6676825143","https://openalex.org/W6678886939","https://openalex.org/W6681816618","https://openalex.org/W6683923932","https://openalex.org/W6712719439"],"related_works":["https://openalex.org/W2109380943","https://openalex.org/W2570009360","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W4244587941","https://openalex.org/W2362501828"],"abstract_inverted_index":{"The":[0,28],"common":[1],"graph":[2,30,70],"Laplacian":[3,31,71],"regularizer":[4,54,105],"is":[5,56,74],"well-established":[6],"in":[7,25,80],"semi-supervised":[8,81],"learning":[9,82],"and":[10,42,60,101,117,123],"spectral":[11],"dimensionality":[12],"reduction.":[13],"However,":[14],"as":[15,97],"a":[16,38,52,90,98],"first-order":[17,92],"regularizer,":[18,72],"it":[19,36],"can":[20],"lead":[21],"to":[22,47],"degenerate":[23],"functions":[24],"high-dimensional":[26],"manifolds.":[27],"iterated":[29],"enables":[32],"high-order":[33,104],"regularization,":[34],"but":[35,73],"has":[37],"high":[39,58],"computational":[40,86],"complexity":[41,87],"so":[43,61],"cannot":[44],"be":[45],"applied":[46],"large":[48],"problems.":[49],"We":[50,84],"introduce":[51],"new":[53],"which":[55],"globally":[57],"order":[59],"does":[62],"not":[63],"suffer":[64],"from":[65],"the":[66,69,95,121],"degeneracy":[67],"of":[68,94,125],"also":[75],"sparse":[76],"for":[77],"efficient":[78],"computation":[79],"applications.":[83],"reduce":[85],"by":[88],"building":[89],"local":[91,108],"approximation":[93],"manifold":[96],"surrogate":[99],"geometry,":[100],"construct":[102],"our":[103,126],"based":[106],"on":[107,113],"derivative":[109],"evaluations":[110],"therein.":[111],"Experiments":[112],"human":[114],"body":[115],"shape":[116],"pose":[118],"analysis":[119],"demonstrate":[120],"effectiveness":[122],"efficiency":[124],"method.":[127]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-20T07:46:08.049788","created_date":"2025-10-10T00:00:00"}