乐胖代购免代理版

{"id":"https://openalex.org/W1874609435","doi":"https://doi.org/10.1137/140993818","title":"Analysis and Application of a Nonlocal Hessian","display_name":"Analysis and Application of a Nonlocal Hessian","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1874609435","doi":"https://doi.org/10.1137/140993818","mag":"1874609435"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140993818","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1410.8825","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027503123","display_name":"Jan Lellmann","orcid":"https://orcid.org/0000-0002-5243-0331"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jan Lellmann","raw_affiliation_strings":["University of Cambridge,"],"affiliations":[{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047165204","display_name":"Konstantinos Papafitsoros","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Konstantinos Papafitsoros","raw_affiliation_strings":["University of Cambridge,"],"affiliations":[{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033880300","display_name":"Carola\u2010Bibiane Sch\u00f6nlieb","orcid":"https://orcid.org/0000-0003-0099-6306"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Carola Sch\u00f6nlieb","raw_affiliation_strings":["University of Cambridge,"],"affiliations":[{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112548185","display_name":"Daniel Spector","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Spector","raw_affiliation_strings":["Department of Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.505,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.818853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"8","issue":"4","first_page":"2161","last_page":"2202"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9966,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9965,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.94083035},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization","score":0.7447261},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization","score":0.47459766}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.94083035},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7447261},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.62166697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6184105},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6102294},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5316774},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.47459766},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44238266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4026919},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32714242},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30112118},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2040425},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09652704},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140993818","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1410.8825","pdf_url":"https://arxiv.org/pdf/1410.8825","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1410.8825","pdf_url":"https://arxiv.org/pdf/1410.8825","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.72}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":50,"referenced_works":["https://openalex.org/W1238092070","https://openalex.org/W1480714962","https://openalex.org/W1515685921","https://openalex.org/W1963987355","https://openalex.org/W1969333017","https://openalex.org/W1991081352","https://openalex.org/W1995276029","https://openalex.org/W1997998401","https://openalex.org/W2000594266","https://openalex.org/W2025944155","https://openalex.org/W2037981501","https://openalex.org/W2038649727","https://openalex.org/W2039939700","https://openalex.org/W2043533934","https://openalex.org/W2046571480","https://openalex.org/W2050872129","https://openalex.org/W2055834582","https://openalex.org/W2060945009","https://openalex.org/W2061133334","https://openalex.org/W2061557452","https://openalex.org/W2064309976","https://openalex.org/W2066702548","https://openalex.org/W2069947795","https://openalex.org/W2075074433","https://openalex.org/W2078050228","https://openalex.org/W2080883550","https://openalex.org/W2081160575","https://openalex.org/W2082119558","https://openalex.org/W2086926544","https://openalex.org/W2093109539","https://openalex.org/W2093834886","https://openalex.org/W2095195575","https://openalex.org/W2098713549","https://openalex.org/W2103559027","https://openalex.org/W2133665775","https://openalex.org/W2135036909","https://openalex.org/W2136396015","https://openalex.org/W2140865211","https://openalex.org/W2157650260","https://openalex.org/W2167849846","https://openalex.org/W2169288322","https://openalex.org/W2314866731","https://openalex.org/W2326045555","https://openalex.org/W23980207","https://openalex.org/W258527048","https://openalex.org/W2623012778","https://openalex.org/W2962677398","https://openalex.org/W2963042087","https://openalex.org/W303181297","https://openalex.org/W649818166"],"related_works":["https://openalex.org/W4385064145","https://openalex.org/W4283017538","https://openalex.org/W4239618105","https://openalex.org/W2802707792","https://openalex.org/W2800988248","https://openalex.org/W2611031068","https://openalex.org/W2056172611","https://openalex.org/W1996936972","https://openalex.org/W1704347466","https://openalex.org/W1545275724"],"abstract_inverted_index":{"In":[0,67],"this":[1],"work":[2,72],"we":[3],"introduce":[4],"a":[5,8,84,104],"formulation":[6,78],"for":[7,20,83],"nonlocal":[9,18,27],"Hessian":[10],"that":[11],"combines":[12],"the":[13,24,35,37,44,48,65,68],"ideas":[14],"of":[15,26,47,62,70,87,107],"higher-order":[16,30,50,108],"and":[17,60,99,110],"regularization":[19],"image":[21],"restoration,":[22],"extending":[23],"idea":[25],"gradients":[28],"to":[29,41,57,93,95],"derivatives.":[31],"By":[32],"intelligently":[33],"choosing":[34],"weights,":[36],"model":[38],"allows":[39,103],"us":[40],"improve":[42],"on":[43],"current":[45],"state":[46],"art":[49],"method,":[51],"total":[52],"generalized":[53],"variation,":[54],"with":[55],"respect":[56],"overall":[58],"quality":[59],"preservation":[61],"jumps":[63],"in":[64,100],"data.":[66],"spirit":[69],"recent":[71],"by":[73],"Brezis":[74],"et":[75],"al.,":[76],"our":[77],"also":[79],"has":[80],"analytic":[81],"implications:":[82],"suitable":[85],"choice":[86],"weights":[88],"it":[89,102],"can":[90],"be":[91],"shown":[92],"converge":[94],"classical":[96],"second-order":[97],"regularizers,":[98],"fact":[101],"novel":[105],"characterization":[106],"Sobolev":[109],"BV":[111],"spaces.":[112]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1874609435","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-01-20T12:27:41.966785","created_date":"2016-06-24"}