{“id”:“https://openalex.org/W4224290667“,”doi“:”https://doi.org/10.1137/21m1418319“,”title“:”Low-Rank矩阵近似的随机化四元数奇异值分解“,”display_name“:”Low-Rank矩阵近似的随机四元数奇值分解“、”publication_year“:2022、”publiation_date“:”2022-04-01“,”ids“:{”openalex“:”https://openalex.org/W4224290667“,”doi“:”https://doi.org/10.1137/21m1418319“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/21m1418319“,”pdf_url“:null,”source“:{”id“:”https://openalex.org/S165512578“,”display_name“:”SIAM科学计算杂志“,”issn_l“:”1064-8275“,”isn“:[”1064-82“,”1095-7197“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320508“,”host_organization_name“:”工业与应用数学学会“,”host_organization_lineage“:[”https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业和应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nully,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]any_repository_has_fulltext“:false},”作者身份“:[{”作者位置“:”第一个“,”作者“:{”id“:”https://openalex.org/A5031526193“,”display_name“:”刘巧华“,”兽人“:”https://orcid.org/0000-0001-5018-8468“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”刘巧华“,”raw关联字符串“:[]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5058619642“,”display_name“:”四刀岭“,”兽人“:”https://orcid.org/0000-0002-0510-6184“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”司陶玲“,”raw关联字符串“:[]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5008217358“,”display_name“:”志刚佳“,”兽人“:”https://orcid.org/0000-0001-9408-0942“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Zhigang Jia“,”raw关联字符串“:[]}],”countries_distict_count“:0,”机构区分count”:0,“corresponding_author_ids”:[]“”cited_by_percentile_year“:{”min“:95,”max“:96},“biblio”:{“volume”:“44”,“issue”:“2”,“first_page:”A870“,”last_page“:”A900“},”is_retracted“:false,”is_paratext“:false,”primary_topic“:”{“id”:“https://openalex.org/T10500“,”display_name“:”压缩传感理论与应用“,”score“:0.9999,”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“}},”主题“:[{”id“:”https://openalex.org/T10500“,”display_name“:”压缩传感理论与应用“,”score“:0.9999,”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/T10739“,”“display_name”:“积分方程电磁散射”,“score”:0.9967,“subfield”:{“id”:“https://openalex.org/subfields/3107“,”display_name“:”原子分子物理与光学“},”字段“:{”id“:”https://openalex.org/fields/31网址“,”display_name“:”物理学和天文学“},”域“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11612“,”“display_name”:“机器学习中的优化方法”,“score”:0.9967,“subfield”:{“id”:“https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/convex优化“,”display_name“:”凸优化“,”score“:0.549748},{”id“:”https://openalex.org/keywords/sparse近似“,”display_name“:”稀疏近似“,”score“:0.539732},{”id“:”https://openalex.org/keywords/matrix分解“,”display_name“:”矩阵分解“,”score“:0.535247},{”id“:”https://openalex.org/keywords/compressed-sensing网站“,”display_name“:”压缩感知“,”score“:0.533798},{”id“:”https://openalex.org/keywords/近似算法“,”display_name“:”近似算法“,”score“:0.526041}],”concepts“:[{”id“:”https://openalex.org/C00127275,“wikidata”:https://www.wikidata.org/wiki/Q173853“,”display_name“:”四元数“,”level“:2,”score“:0.79304665},{”id“:”https://openalex.org/C22789450,“wikidata”:https://www.wikidata.org/wiki/Q420904“,”display_name“:”奇异值分解“,”level“:2,”score“:0.73268485},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.7315072},{”id“:”https://openalex.org/C34727166,“wikidata”:https://www.wikidata.org/wiki/Q515375“,”“display_name”“:”Cholesky分解“,”级别“:3,”分数“:0.5026758},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.49704078},{”id“:”https://openalex.org/C128669082,“wikidata”:https://www.wikidata.org/wiki/Q583461“,”display_name“:”随机化算法“,”level“:2,”score“:0.47882584},{”id“:”https://openalex.org/C106487976,“wikidata”:https://www.wikidata.org/wiki/Q685816“,”display_name“:”Matrix(化学分析)“,”level“:2,”score“:0.47149318},{”id“:”https://openalex.org/C109282560,“wikidata”:https://www.wikidata.org/wiki/Q4166054“,”display_name“:”奇异值“,”level“:3,”score“:0.4336624},{”id“:”https://openalex.org/C42355184,“wikidata”:https://www.wikidata.org/wiki/Q1361088“,”display_name“:”矩阵分解“,”level“:3,”score“:0.42386064},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.40913272},{”id“:”https://openalex.org/C158693339,“wikidata”:https://www.wikidata.org/wiki/Q190524“,”display_name“:”特征值和特征向量“,”level“:2,”score“:0.21360153},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”级别“:0,”分数“:0.0},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C192562407,“wikidata”:https://www.wikidata.org/wiki/Q228736“,”display_name“:”材料科学“,”level“:0,”score“:0.0},{”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/C159985019,“wikidata”:https://www.wikidata.org/wiki/Q181790“,”display_name“:”复合材质“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/21m1418319“,”pdf_url“:null,”source“:{”id“:”https://openalex.org/S165512578“,”display_name“:”SIAM科学计算杂志“,”issn_l“:”1064-8275“,”isn“:[”1064-82“,”1095-7197“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320508“,”host_organization_name“:”工业与应用数学学会“,”host_organization_lineage“:[”https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业与应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null',“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[],“grants”:{“funder”:”https://openalex.org/F4320321001“,”“funder_display_name”:“国家自然科学基金”,“award_id”:“12171210”},{“funder”:“https://openalex.org/F4320321001“,”“funder_display_name”:“国家自然科学基金”,“award_id”:“12090011”},{“funder”:“https://openalex.org/F4320321001“,”“funder_display_name”:“国家自然科学基金”,“award_id”:“11771188”},{“funder”:“https://openalex.org/F4320327518“,”“funder_display_name”:“江苏省高校优先发展学术项目”,“award_id”:null},{“funder”:“https://openalex.org/F4320335440“,”“funder_display_name”:“中国江苏省高等学校自然科学研究”,“award_id”:“PPZY2015A013”}],“数据集”:[],“版本”:[],“referenced_works_count”:25,“referrenced_works”:[”https://openalex.org/W1485437584","https://openalex.org/W1925032196","https://openalex.org/W1968691112","https://openalex.org/W1973310238","https://openalex.org/W2013323650","https://openalex.org/W2033772417","https://openalex.org/W2057261601","https://openalex.org/W2057569631","https://openalex.org/W2078841894","https://openalex.org/W2117756735","https://openalex.org/W2130076109","https://openalex.org/W2318781916","https://openalex.org/W2555231795","https://openalex.org/W2743597111","https://openalex.org/W2766897841","https://openalex.org/W2894882275","https://openalex.org/W2900180351","https://openalex.org/W2945177740","https://openalex.org/W2948837518","https://openalex.org/W2963108114","https://openalex.org/W3008521353","https://openalex.org/W3047310051","https://openalex.org/W3118818373","https://openalex.org/W3153688434","https://openalex.org/W4213311204“],”related_works“:[”https://openalex.org/W2966537581","https://openalex.org/W2766670065","https://openalex.org/W2739538516","https://openalex.org/W2403987929","https://openalex.org/W2374847384","https://openalex.org/W2356488190","https://openalex.org/W2127054029","https://openalex.org/W2107649022","https://openalex.org/W2063512590","https://openalex.org/W2039814159“],”ngrams_url“:”https://api.openalex.org/works/W4224290667/ngrams“,”“abstract_inverted_index”:{“This”:[0],“paper”:[1],“presents”:[2],“a”:[3,44,95135],“随机化”:[4,37,84117],“四元数”:[5,31,56,63,96136],“singular”:[6,90],“value”:[7,91],“分解”:[8,92],“(QSVD)”:[9],“algorithma”:[10,39,86119],“for”:[11],“low rank”:[12],“矩阵“:[13,97],”近似“:[14,73],”问题“:[15115],”其中“:[16],”是“:[17,66],”广泛“:[18],”使用“:[19,69],”in“:[20],”color“:[2112],”face“:[22113],”recognition“,”:[23],“video”:[24],”compression“,”:[25],“and”:[26,47,68124134],“signal”:[27],“processing”:[28],“问题。“:[29],”With“:[30],”normal“:[32],”distribution-based“:[33],”random“:[34],”sampling,“:[35],”the“:[365,72,77,83105116129139],”QSVD“:[38,85118133],”projects“:[40],”high-dimensional“:[41],”data“:%42],”to“:[43,70111],”low-dimensived“:%45],”subspace“:[46,53],”then“:[48],”identifieds“:[49],“an”:[50],“近似”:[51],“范围”:[52],““:[54,62,76,94107138],”矩阵。“:[57],”The“:[58],”key“:[59],”statistical“:[60],”properties“:[61],”Wishart“:[64],”distribution“:[65],”proposed“:[67108],”perform“:[71],”error“:[74],”analysis“:[75],”算法。“:[78143],”理论“:[79],”结果“:[80],”显示“:[81],”那个“:[82],”可以“:[87],”跟踪“:[88],”显性“:[89],”三元组“:[93],”有“:[98],”可接受“:[99],”准确度。“:[100],”数值“:[101],”实验“:[102],”也“:[103],”指示“:[104],”合理性“:[106],”理论。“:[109],“应用”:[110],“识别”:[114122],“获得”:[120],“更高”:[121],“准确度”:[123],“行为”:[125],“更多”:[126],“高效”:[127],“比”:[128],“已知”:[130],“基于Lanczos”:[131],“部分”:[132],“版本”:[137],“快速”:[140],“频繁”:[141],“方向”:[142]},“引用_by_api_url“:”https://api.openalex.org/works?filter=cites:W4224290667“,”counts_by_year“:[{”年份“:2024,”cited_by_count“:7},{”年“:2023,”ciped_by_cunt“:4},”{“年份”:2022,“cited_by_count”:2}],”更新日期“:”2024-06-10T19:31:33.751453“,”创建日期“:“2022-04-26”}