{“id”:“https://openalex.org/W4391871283“,”doi“:”https://doi.org/10.48550/arxiv.2402.08568“,”title“:“正则化可分离非线性逆问题的变量投影方法的收敛性分析”,“display_name”:“正则化可分离非线性反问题的变量映射方法的收敛分析”,”publication_year“:2024,”publitation_date“:”2024-02-13“,”ids“:{”openalex“:”https://openalex.org/W4391871283“,”doi“:”https://doi.org/10.48550/arxiv.2402.08568“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/2402.08568“,”pdf_url“:”https://arxiv.org/pdf/2402.08568,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”type“:”preprint“,”type_crossref“:“posted-content”,“indexed_in”:[”arxiv“],‘open_access’:{”is_oa“:true,”“oa_status”:“green”,“oa_url”:“https://arxiv.org/pdf/2402.08568“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5006843608“,”display_name“:”Malena I.Espa\u00f1ol“,”orcid“:”https://orcid.org/0000-0002-9290-3228“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Espa\u00f1ol,Malena I“,”raw关联字符串“:[]},{“author_position”:“last”,“author”:{“id”:“”https://openalex.org/A5057978675“,”display_name“:”Gabriela Jeronimo“,”orcid“:”https://orcid.org/0000-0001-7712-0359“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”杰罗尼莫,加布里埃拉“,”raw_affiliation_strings“:[]}],”countries_distict_count“:0,”机构_distiction_count“:0.,”corresponding_author_ids“:[],“correspounding_institution_ids”:[]、“apc_list”:null,“apc_payed”:null,“has_fulltext”:false、“cited_by_count”“:0,”cited_by_percentile_year“:{“min”:0,“max”:92},“biblio”:{卷:null,“问题”:nullhttps://openalex.org/T11205“,”“display_name”:“数学物理与成像中的反问题”,“score”:0.9974,“subfield”:{“id”:“https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11205“,”display_name“:”数学物理与成像中的反问题“,”score“:0.9974,”subfield“:{”id“:”https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12661“,”“display_name”:“非线性方程迭代方法的收敛性分析”,“score”:0.9481,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12304“,”display_name“:”反向辐射传热分析“,”score“:0.9269,”subfield“:{”id“:”https://openalex.org/subfields/2206“,”display_name“:”计算力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/反向问题“,”display_name“:”逆问题“,”score“:0.555743},{”id“:”https://openalex.org/keywords/iterative-methods网站“,”display_name“:”迭代方法“,”score“:0.536064},{”id“:”https://openalex.org/keywords/numerical-methods网站“,”display_name“:”数值方法“,”score“:0.535244},{”id“:”https://openalex.org/keywords/tikhonov规则化“,”display_name“:”Tikhonov正则化“,”score“:0.529773},{”id“:”https://openalex.org/keywords/regulation-methods网站“,”display_name“:”正则化方法“,”score“:0.523399}],”concepts“:[{”id“:”https://openalex.org/C70710897,“wikidata”:https://www.wikidata.org/wiki/Q680081“,”display_name“:”可分隔空格“,”level“:2,”score“:0.69035894},{”id“:”https://openalex.org/C2777303404,“wikidata”:https://www.wikidata.org/wiki/Q759757“,”display_name“:”Convergence(economics)“,”level“:2,”score“:0.6383156},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.6340759},{”id“:”https://openalex.org/C158622935,“wikidata”:https://www.wikidata.org/wiki/Q660848“,”display_name“:”非线性系统“,”level“:2,”score“:0.6331084},{”id“:”https://openalex.org/C207467116,“wikidata”:https://www.wikidata.org/wiki/Q4385666“,”display_name“:”Inverse“,”level“:2,”score“:0.62940454},{”id“:”https://openalex.org/C57493831,“wikidata”:https://www.wikidata.org/wiki/Q3134666“,”display_name“:”投影(关系代数)“,”level“:2,”score“:0.59905595},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.57651263},{”id“:”https://openalex.org/C182365436,“wikidata”:https://www.wikidata.org/wiki/Q50701“,”display_name“:”变量(数学)“,”level“:2,”score“:0.5700378},{”id“:”https://openalex.org/C65557600,“wikidata”:https://www.wikidata.org/wiki/Q7249451“,”display_name“:”投影方法“,”level“:3,”score“:0.48632795},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.37125552},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.36144775},{”id“:”https://openalex.org/C202426404,“wikidata”:https://www.wikidata.org/wiki/Q5318686“,”display_name“:”Dykstra的投影算法“,”level“:2,”score“:0.23776704},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.22266614},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”等级“:0,”分数“:0.12218213},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.07470468},{”id“:”https://openalex.org/C162324750,“wikidata”:https://www.wikidata.org/wiki/Q8134“,”display_name“:”Economics“,”level“:0,”score“:0.066767514},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944“,”display_name“:”量子力学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C50522688,“wikidata”:https://www.wikidata.org/wiki/Q189833“,”display_name“:”经济增长“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/2402.08568“,”pdf_url“:”https://arxiv.org/pdf/2402.08568,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],”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/2402.08568“,”pdf_url“:”https://arxiv.org/pdf/2402.08568,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[],“grants”:[]https://openalex.org/W774881382","https://openalex.org/W3149161931","https://openalex.org/W2899022965","https://openalex.org/W2617963432","https://openalex.org/W2615976479","https://openalex.org/W2393270639","https://openalex.org/W2392770728","https://openalex.org/W2229293290","https://openalex.org/W2033390858","https://openalex.org/W1994625207“],”ngrams_url“:”https://api.openalex.org/works/W4391871283/ngrams“,”“abstract_inverted_index”:{“Variable”:[0],“projection”:[1,82],“methods”:[2],“prove”:[3],“highly”:[4],“efficient”:[5],“in”:[6,46],“solving”:[7,30],“separated”:[8,32],“normal”:[9,19,33],“least”:[10,20],“squares”:[11,21],“问题”:[12,35],“by”:[13],“transforming”:[14],”他们“:[15],”进入“:[16],”a“:[17104],”减少“:[18],”问题“:[22],”通常“:[23],“可解”:[24],“via”:[25],“the”:[26,40,47,73,80,99],“Gauss-Newton”:[27,48],“method。“:[28],“When”:[29],“scalebral”:[31],“inverse”:[34],“with”:[36],“general-form”:[3],“Tikhonov”:[38],“regulation”,“:[39],“computative”:[41],“demand”:[42],“for”:[43],“computing”:[44],“Jacobians”:[45,78],“method”:[C9,83101],“变成”:[50],“very”:【51】,“富有挑战性。“:[52],”To“:[53],”release“:[54],”this“:[55],”interactive“:[56],”methods“,:[57],”specifically“:[58],”LSQR,“:[59],”can“:[60],”be“:[61],”used“:[62],”as“:[63],”inner“:[64],”solvers“:/65],”To“:[66,88102108],”compute“:[67],”approximate“:[68,77],”Jacobians“。“:[69],“This”:[70],“article”:[71],“analysis”:[72],“impact”:[74],“of”:[75],“these”:[76],“within”:[79],“variable”:[81],“and”:[84110],“investings”:[85],“stopping”:[86],“criteria”:[87],“sure”:[89],“convergence”。“:[90],“我们”:[91],“也”:[92],“现在”:[93],“数值”:[94],“实验”:[95],“其中”:[96],“We”:[97],“应用”:[98],“建议”:[100],“解决”:[103],“盲”:[105],“反褶积”:[106],“问题”:[107],“图解”:[109],“确认”:[111],“我方”:[112],“理论”:[113],“结果”。“:[114]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W4391871283“,”counts_by_year“:[],”updated_date“:”2024-05-21T04:47:59.745552“,”created_date:“2024-02-16”}“