{“id”:“https://openalex.org/W4311725860网址“,”doi“:”https://doi.org/10.48550/arxiv.2212.07658“,”title“:”带多项式内核的插值“,”display_name“:”用多项式内核的内插“,”publication_year“:2022,”publiation_date“:”2022-01-01“,”ids“:{”openalex“:”https://openalex.org/W4311725860“,”doi“:”https://doi.org/10.48550/arxiv.2212.07658“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/2212.07658“,”pdf_url“:空,”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”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”version“:null,”is_accepted“:false,”is_published“:false},”type“:预打印”,”type_crossref“:”journal-article“,”indexed_in“:[”arxiv“,”datacite“],”open_access“:{”is_oa“:true,”oa_status“:”green“,”oa_url“:”https://arxiv.org/abs/2212.07658“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5039011924“,”display_name“:”Giacomo Elefante“,”orcid“:”https://orcid.org/0000-0001-5576-6802“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Elefante,Giacomo“,”raw _ afiliation_strings“:[],“从属关系”:[]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5036671307“,”display_name“:”Wolfgang Erb“,”orcid“:”https://orcid.org/0000-0003-3541-5401“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:Erb,Wolfgang”,“raw_affiliation_strings”:[],“affiliations”:[]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5076669667“,”display_name“:”Francesco Marchetti“,”orcid“:”https://orcid.org/0000-0002-9435-4867“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Marchetti,Francesco“,”raw _ afiliation_strings“:[],“从属关系”:[]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5045049913“,”display_name“:”Emma Perracchione“,”orcid“:”https://orcid.org/0000-0003-2663-7803“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Perracchione,Emma“,”raw _ afiliation_strings“:[],“从属关系”:[]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5029404899“,”display_name“:”Davide Poggiali“,”orcid“:”https://orcid.org/0000-0002-2894-0825“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Poggiali,Davide“,”raw_affiliation_strings“:[],“affiliations”:[]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5087671511“,”display_name“:”Gabriele Santin“,”orcid“:”https://orcid.org/0000-0001-6959-1070“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Santin,Gabriele“,”raw_affiliation_strings“:[],“隶属关系”:[]}],“countries_distict_count”:0,“institutions_disticent_count”:“0,”corresponding_author_ids“:[】,”correcponding_institution_ids“has_fulltext”:假,“cited_by_count“:0,”cited_by_percentile_year“:{”min“:0”,“max”:67},“biblio”:{“volume”:null,“issue”:nul,“first_page”:null,“last_page”:null},”is_retracted“:false,”is_paratext“:false,”primary_topic“:”{“id”:“https://openalex.org/T11245“,”“display_name”:“计算工程中的等几何分析”,“score”:0.9962,“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“:”Physical Sciences“}},”topics“:[{”id“:”https://openalex.org/T11245“,”“display_name”:“计算工程中的等几何分析”,“score”:0.9962,“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“}},{”id“:”https://openalex.org/T12661“,”“display_name”:“非线性方程迭代方法的收敛性分析”,“score”:0.9724,“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/T11205“,”“display_name”:“数学物理与成像中的反问题”,“score”:0.9708,“subfield”:{“id”:“https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”field“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/iterative-methods网站“,”display_name“:”迭代方法“,”score“:0.484411}],”concepts“:[{”id“:”https://openalex.org/C172623408,“wikidata”:https://www.wikidata.org/wiki/Q7314263“,”display_name“:”表示定理“,”level“:5,”score“:0.76313937},{”id“:”https://openalex.org/C80884492,“wikidata”:https://www.wikidata.org/wiki/Q3345678“,”display_name“:”再现内核Hilbert空间“,”level“:3,”score“:0.7500385},{”id“:”https://openalex.org/C74193536,“wikidata”:https://www.wikidata.org/wiki/Q574844“,”display_name“:”Kernel(algebra)“,”level“:2,”score“:0.65228057},{”id“:”https://openalex.org/C137800194,“wikidata”:https://www.wikidata.org/wiki/Q11713455“,”display_name“:”插值(计算机图形)“,”level“:3,”score“:0.5980504},{”id“:”https://openalex.org/C90119067,“wikidata”:https://www.wikidata.org/wiki/Q43260“,”display_name“:”多项式“,”level“:2,”score“:0.5961448},{”id“:”https://openalex.org/C2779343474,“wikidata”:https://www.wikidata.org/wiki/Q3109175“,”display_name“:”Context(考古学)“,”level“:2,”score“:0.575786},{”id“:”https://openalex.org/C2777021872,“wikidata”:https://www.wikidata.org/wiki/Q22976830“,”display_name“:”Uniqueness“,”level“:2,”score“:0.5694634},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.56587845},{”id“:”https://openalex.org/C62799726,“wikidata”:https://www.wikidata.org/wiki/Q190056“,”display_name“:”Hilbert空格“,”level“:2,”score“:0.53456813},{”id“:”https://openalex.org/C160446489,“wikidata”:https://www.wikidata.org/wiki/Q7226642“,”display_name“:”多项式内核“,”level“:4,”score“:0.4827632},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.41882783},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.4137316},{”id“:”https://openalex.org/C88080468,“wikidata”:https://www.wikidata.org/wiki/Q637347“,”display_name“:”多项式插值“,”level“:4,”score“:0.4125743},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.37033126},{”id“:”https://openalex.org/C122280245,“wikidata”:https://www.wikidata.org/wiki/Q620622“,”display_name“:”内核方法“,”level“:3,”score“:0.36776423},{”id“:”https://openalex.org/C136119220,“wikidata”:https://www.wikidata.org/wiki/Q1000660“,”“display_name”“:”“域上的代数”“,”level“:2,”score“:0.33796853},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.32153803},{”id“:”https://openalex.org/C134517425,“wikidata”:https://www.wikidata.org/wiki/Q16000131“,”display_name“:”发行版的内核嵌入“,”level“:4,”score“:0.2656237},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.23240948},{”id“:”https://openalex.org/C202444582,“wikidata”:https://www.wikidata.org/wiki/Q837863“,”display_name“:”纯数学“,”level“:1,”score“:0.20924267},{”id“:”https://openalex.org/C171836373,“wikidata”:https://www.wikidata.org/wiki/Q2266329“,”display_name“:”线性插值“,”level“:3,”score“:0.19315866},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.17178002},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.1502231},{”id“:”https://openalex.org/C104114177,“wikidata”:https://www.wikidata.org/wiki/Q79782“,”display_name“:”运动(物理)“,”级别“:2,”分数“:0.0},{”id“:”https://openalex.org/C151730666,“wikidata”:https://www.wikidata.org/wiki/Q7205“,”display_name“:”古生物学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C12267149,“wikidata”:https://www.wikidata.org/wiki/Q282453“,”display_name“:”Support vector machine“,”level“:2,”score“:0.0},{”id“:”https://openalex.org/C86803240,“wikidata”:https://www.wikidata.org/wiki/Q420“,”display_name“:”Biology“,”level“:0,”score“:0.0}],”mesh“:[],”locations_count“:2,”location“:[{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/2212.07658“,”pdf_url“:空,”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”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”版本“:null,”is_accepted“:false,”is_published“:false},{”is_oa“:false,”landing_page_url“:”https://api.datacite.org/dois/10.448550/arxiv.21207658“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S4393179698“,”display_name“:”DataCite API“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I4210145204“,”“host_organization_name”:“DataCite”,“host_organization_lineage”:[“https://openalex.org/I4210145204“],”host_organization_lineage_names“:[”DataCite“],“type”:“metadata”},“license”:null,“licence_id”:null,“version”:null}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/2212.07658“,”pdf_url“:空,”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”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”version“:null,”is_accepted“:false,”is_published“:false},”sustainable_development_goals“:[{”score“:0.74,”id“:”https://metadata.un.org/sdg/10“,”display_name“:”简化不等式“}],”grants“:[],”datasets“:[],”versions“:[”https://openalex.org/W4311725860“],”referenced_works_count“:0,”referinced_works“:[],”related_works“:[”https://openalex.org/W4247446331","https://openalex.org/W4243330733","https://openalex.org/W3168604437","https://openalex.org/W3101749733","https://openalex.org/W2535206775","https://openalex.org/W25117969","https://openalex.org/W2172290429","https://openalex.org/W1975708617","https://openalex.org/W177392165","https://openalex.org/W1558422751“],”ngrams_url“:”https://api.openalex.org/works/W4311725860/ngrams“,”“abstract_inverted_index”:{“The”:[0],“多项式”:[1228],“kernels”:[2130184],“are”:[3,11,26],“widely”:[4],“used”:[5,28,64],“in”:[6,31,90194216264],”“machine”:[7],“learning”:[8],”和“:[9,21,29,85101111131134189203208227],”它们“they”:[10,25,44256],“one”:[12,59],“of”:[13,38,51,60,82,93113128249267],““:[14,48,61,80,9110912016823424324265],”默认“:[15],“选项”:[16],“到”:[17,35,65,74141155162176182185232236258262],“开发”:[18],“基于内核”:[19,67],“分类”:[20],“回归”:[22],”模型。“:[23],”“然而,”:[24],“很少”:[27],“考虑”:[30],“数值”:[32196],“分析”:[33200],“到期”:[34],“他们的”:[36,86132],“缺乏”:[37],“严格”:[39],“积极”:[40],“明确性”。“:[41],”In“:[42],”specific“:[43],”do“:+45],”not“:%46],”enjoy“:[47],”invocial“:[49],”property“:[50],”unisolvency“:[22],”for“:[53,79],”任意“:[54],”point“:[55105],”sets“:[56],”which“:[57107160233],”is“:[58,72],”key“:/62],“properties”:[63],”build“:[66],”插值“:[68,88],”方法。“:[69],“This”:[70220],“paper”:[71],“dedicated”:[73],“establish”:[75],“some”:[76195223],“initial”:[77],“results”:[78],“study”:[81119],“these”:[83129146183],“kernels”:[84],“related”:[87],“algorithms”,“context”:[92],“approximation”:[94],“theory”。“:[95],“We”:[96116],“will”:[97117151173191210],“first”:[98],“prove”:[99],“necessary”:[100],“sufficient”:[102],“conditions”:[103],“on”:[104],“set”:[106],“guarantee”:[108],“existence”:[110],“uniquestity”:[112],“an”:[114178],“interpolant”。“:[115],”then“:[118],”Reproducting“:[121],”Kernel“:[122],”Hilbert“:[123],”Spaces“:[124],”(or“:[125],”native“:[126169],”Spaces)“:[127],”normals“:[133],”provide“:%135],”inclusion“:[136],”relationships“:[137],”between“:%138225],”空格“:[139147],”responsiver“:[140],”difference“:[142237],”Kernel“”:[143226],“参数。“:[144],”With“:[145],”at“:[148],”hand“,”it“:[150],”be“:[152],”future“:[153213],”possible“:[154212],”derive“:[156],”generic“:[157],”error“:[158],”estimaties“:[159],”apply“:[161],”sufficienty“:[163],”smooth“:/164],”函数“:[165],”thouse“:[166],”escaping“:[167],”space●●●●。“:[170],”最后,“:[171],”我们“:[172190209],”显示“:[174],”如何“:[175],”使用“:[177],”有效“:[179],”稳定“:[180],”算法“:[181],”获取“:[186],”准确“:[187],”插值,“:-188],”测试“:[192],”它们“:[193],”实验。“:[197],”之后“:[198],”这个“:[199254260],”几个“:[201],”计算“:[202],”理论“:[204],”方面“:[205],”保持“:[206],”开放“:[207],”大纲“:[211],”研究“:[214],”方向“:[215],”a“:[217],”结论“:[218],”章节。“:[219],”工作“:[221248261],”建造“:[222],”桥梁“:[224],”插值“:[229],”两个“:[230],”主题“:[231],”作者“:[235],”范围“:[238],”有“:[239],”曾经“:[240],”引入“:[241],”在“:[242]下“,”监督“:[244],”或“:[245],”通过“:[246],”斯特凡诺“:[250],”德“:[251],”马尔奇。“:[252],”为了“:[253],”原因“,:[255],”愿望“:[257],”奉献“:[259],”他“:[263],”场合“:[266],”他的“:[268],”60岁“:[269],”生日“。“:[270]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W4311725860“,”counts_by_year“:[],”updated_date“:”2024-06-23T14:37:36.645559“,”created_date:“2022-12-28”}“