{"id":"https://openalex.org/W2899446216","doi":"https://doi.org/10.1109/access.2018.2889518","title":"Low-Rank Phase Retrieval via Variational Bayesian Learning","display_name":"Low-Rank Phase Retrieval via Variational Bayesian Learning","publication_year":2018,"publication_date":"2018-12-24","ids":{"openalex":"https://openalex.org/W2899446216","doi":"https://doi.org/10.1109/access.2018.2889518","mag":"2899446216"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2889518","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889518","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587152.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587152.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074235004","display_name":"Kaihui Liu","orcid":"https://orcid.org/0000-0001-8885-6767"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaihui Liu","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-8885-6767","affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449266","display_name":"Jiayi Wang","orcid":"https://orcid.org/0000-0003-0807-6192"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayi Wang","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058161612","display_name":"Zhengli Xing","orcid":"https://orcid.org/0000-0002-4481-0983"},"institutions":[{"id":"https://openalex.org/I2801345734","display_name":"China Academy of Engineering Physics","ror":"https://ror.org/039vqpp67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I2801345734"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengli Xing","raw_affiliation_strings":["China Academy of Engineering Physics, Mianyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Academy of Engineering Physics, Mianyang, China","institution_ids":["https://openalex.org/I2801345734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072947305","display_name":"Linxiao Yang","orcid":"https://orcid.org/0000-0001-9558-7163"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linxiao Yang","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067626381","display_name":"Jun Fang","orcid":"https://orcid.org/0000-0001-7427-4723"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Fang","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.4635,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82521796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"5642","last_page":"5648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11949","display_name":"Nuclear Physics and Applications","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10857","display_name":"Advanced Electron Microscopy Techniques and Applications","score":0.9456999897956848,"subfield":{"id":"https://openalex.org/subfields/1315","display_name":"Structural Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6976511478424072},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6010510325431824},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5544546842575073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.508637547492981},{"id":"https://openalex.org/keywords/learning-to-rank","display_name":"Learning to rank","score":0.5011212825775146},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.44071561098098755},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3667626976966858},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33365607261657715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23047903180122375},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.19986101984977722},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08175796270370483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07692274451255798}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6976511478424072},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6010510325431824},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5544546842575073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.508637547492981},{"id":"https://openalex.org/C86037889","wikidata":"https://www.wikidata.org/wiki/Q4330127","display_name":"Learning to rank","level":3,"score":0.5011212825775146},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44071561098098755},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3667626976966858},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33365607261657715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23047903180122375},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.19986101984977722},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08175796270370483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07692274451255798},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2889518","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889518","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587152.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:21d1f8eacd0140c8bd1cf7ac0876e2a6","is_oa":true,"landing_page_url":"https://doaj.org/article/21d1f8eacd0140c8bd1cf7ac0876e2a6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 5642-5648 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2889518","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889518","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587152.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2899446216.pdf","grobid_xml":"https://content.openalex.org/works/W2899446216.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W1484412996","https://openalex.org/W1506819112","https://openalex.org/W1552037902","https://openalex.org/W1663973292","https://openalex.org/W1992951219","https://openalex.org/W2000721204","https://openalex.org/W2001613283","https://openalex.org/W2002963485","https://openalex.org/W2003959193","https://openalex.org/W2044613770","https://openalex.org/W2055191162","https://openalex.org/W2072329172","https://openalex.org/W2077647472","https://openalex.org/W2078397124","https://openalex.org/W2082029531","https://openalex.org/W2087483236","https://openalex.org/W2142949395","https://openalex.org/W2164912307","https://openalex.org/W2166670884","https://openalex.org/W2167850383","https://openalex.org/W2177566449","https://openalex.org/W2512442405","https://openalex.org/W2542482481","https://openalex.org/W2556597664","https://openalex.org/W2565094322","https://openalex.org/W2594639291","https://openalex.org/W2596873572","https://openalex.org/W2607151738","https://openalex.org/W2742657417","https://openalex.org/W2753751479","https://openalex.org/W2761315682","https://openalex.org/W2768927505","https://openalex.org/W2774891621","https://openalex.org/W2781265205","https://openalex.org/W2783859821","https://openalex.org/W2792682996","https://openalex.org/W2884803963","https://openalex.org/W2951840367","https://openalex.org/W2962941403","https://openalex.org/W2962999772","https://openalex.org/W2963341557","https://openalex.org/W2963443408","https://openalex.org/W2963855280","https://openalex.org/W2964262188","https://openalex.org/W3101992157","https://openalex.org/W3102206315","https://openalex.org/W3106284467","https://openalex.org/W3123272904","https://openalex.org/W4290872963","https://openalex.org/W4298263336","https://openalex.org/W4298857773","https://openalex.org/W6628955290","https://openalex.org/W6683110664","https://openalex.org/W6743971078","https://openalex.org/W6747969630","https://openalex.org/W6753037639"],"related_works":["https://openalex.org/W2152992791","https://openalex.org/W2112835755","https://openalex.org/W2349674371","https://openalex.org/W4291951920","https://openalex.org/W2963262648","https://openalex.org/W2772359885","https://openalex.org/W3011471740","https://openalex.org/W2954428433","https://openalex.org/W2884580467","https://openalex.org/W2572315477"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,42,48,51,55,72,75,90,93],"problem":[6],"of":[7,50,74,92],"low-rank":[8,18,30,44],"phase":[9,31],"retrieval":[10],"whose":[11],"objective":[12],"is":[13,39,63,68],"to":[14,46,71,88],"estimate":[15],"a":[16,25,35,59],"complex":[17],"matrix":[19,45],"from":[20],"magnitude-only":[21],"measurements.":[22],"We":[23],"propose":[24],"hierarchical":[26,37,57],"prior":[27,38],"model":[28],"for":[29],"retrieval,":[32],"in":[33],"which":[34],"Gaussian-Wishart":[36],"placed":[40],"on":[41,54],"underlying":[43],"promote":[47],"low-rankness":[49],"matrix.":[52],"Based":[53],"proposed":[56,66,94],"model,":[58],"variational":[60],"expectation\u2013maximization":[61],"algorithm":[62],"developed.":[64],"The":[65],"method":[67],"less":[69],"sensitive":[70],"choice":[73],"initialization":[76],"point":[77],"and":[78],"works":[79],"well":[80],"with":[81],"random":[82],"initialization.":[83],"Simulation":[84],"results":[85],"are":[86],"provided":[87],"illustrate":[89],"effectiveness":[91],"algorithm.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
