{"id":"https://openalex.org/W4412404528","doi":"https://doi.org/10.1109/tit.2025.3588879","title":"Adversarial Phase Retrieval via Nonlinear Least Absolute Deviation","display_name":"Adversarial Phase Retrieval via Nonlinear Least Absolute Deviation","publication_year":2025,"publication_date":"2025-07-14","ids":{"openalex":"https://openalex.org/W4412404528","doi":"https://doi.org/10.1109/tit.2025.3588879"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3588879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3588879","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114223207","display_name":"Gao Huang","orcid":"https://orcid.org/0000-0003-2952-3633"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gao Huang","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, Hangzhou, China","School of Mathematical Science, Zhejiang University, Hangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, P. R. China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100448207","display_name":"Song Li","orcid":"https://orcid.org/0000-0002-7307-3935"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Li","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, Hangzhou, China","School of Mathematical Science, Zhejiang University, Hangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, P. R. China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hang Xu","orcid":"https://orcid.org/0009-0009-4669-6078"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Xu","raw_affiliation_strings":["Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China","Department of Mathematics, Zhejiang Sci-Tech University, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China","institution_ids":["https://openalex.org/I1328775524"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, China","institution_ids":["https://openalex.org/I1328775524"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5114223207"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22950405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"9","first_page":"7396","last_page":"7415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9966999888420105,"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":0.9966999888420105,"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":0.9381999969482422,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.90829998254776,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5322449207305908},{"id":"https://openalex.org/keywords/absolute-phase","display_name":"Absolute phase","score":0.4630707800388336},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4332551658153534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.417765736579895},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.37908586859703064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3739311993122101},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.3033156991004944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2189321517944336},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14474153518676758}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5322449207305908},{"id":"https://openalex.org/C2776521118","wikidata":"https://www.wikidata.org/wiki/Q4669823","display_name":"Absolute phase","level":3,"score":0.4630707800388336},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4332551658153534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.417765736579895},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37908586859703064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3739311993122101},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.3033156991004944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2189321517944336},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14474153518676758},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3588879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3588879","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2207679734","display_name":null,"funder_award_id":"12071426","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G420315194","display_name":null,"funder_award_id":"U21A20426","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6241006412","display_name":null,"funder_award_id":"2021YFA1003500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G741121774","display_name":null,"funder_award_id":"12401124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7850100168","display_name":null,"funder_award_id":"U21A20426","funder_id":"https://openalex.org/F4320335578","funder_display_name":"NSAF Joint Fund"},{"id":"https://openalex.org/G907245221","display_name":null,"funder_award_id":"LQN25A010002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335578","display_name":"NSAF Joint Fund","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W136966946","https://openalex.org/W1513013675","https://openalex.org/W1847564501","https://openalex.org/W1972485395","https://openalex.org/W1977601760","https://openalex.org/W1988645907","https://openalex.org/W2014312666","https://openalex.org/W2015911499","https://openalex.org/W2025556407","https://openalex.org/W2030449718","https://openalex.org/W2040192961","https://openalex.org/W2044613770","https://openalex.org/W2077647472","https://openalex.org/W2078397124","https://openalex.org/W2097132843","https://openalex.org/W2120806354","https://openalex.org/W2129131372","https://openalex.org/W2142949395","https://openalex.org/W2150489380","https://openalex.org/W2166655634","https://openalex.org/W2168973828","https://openalex.org/W2224829387","https://openalex.org/W2233912973","https://openalex.org/W2511406830","https://openalex.org/W2542482481","https://openalex.org/W2742231817","https://openalex.org/W2792642233","https://openalex.org/W2806473647","https://openalex.org/W2962909343","https://openalex.org/W2962914151","https://openalex.org/W2963077884","https://openalex.org/W2963841451","https://openalex.org/W2964003909","https://openalex.org/W2964073363","https://openalex.org/W2964262188","https://openalex.org/W2964317091","https://openalex.org/W3108503424","https://openalex.org/W4200591508","https://openalex.org/W4250954493","https://openalex.org/W4285264293","https://openalex.org/W4289713177","https://openalex.org/W4318823231","https://openalex.org/W4319996528","https://openalex.org/W4388794353","https://openalex.org/W4391935160","https://openalex.org/W4393871405","https://openalex.org/W4400247768","https://openalex.org/W4401739465","https://openalex.org/W4401879808","https://openalex.org/W4405220000","https://openalex.org/W6639648768","https://openalex.org/W6744000554","https://openalex.org/W6747969630","https://openalex.org/W6749211489","https://openalex.org/W6753088188","https://openalex.org/W6847606095","https://openalex.org/W6852224304"],"related_works":["https://openalex.org/W1992708074","https://openalex.org/W2789421388","https://openalex.org/W3209811484","https://openalex.org/W2890723059","https://openalex.org/W1994206313","https://openalex.org/W1985234909","https://openalex.org/W1976038155","https://openalex.org/W2073544857","https://openalex.org/W3214287952","https://openalex.org/W2100173693"],"abstract_inverted_index":{"We":[0,37],"investigate":[1],"the":[2,22,33,40,67,98,104,110,114,120,130,145,153,158,175,178,192,201],"phase":[3,101,106],"retrieval":[4,107],"problem":[5,108],"perturbed":[6],"by":[7],"dense":[8],"bounded":[9],"noise":[10],"and":[11,35,165],"sparse":[12,27],"outliers":[13,28,52],"that":[14,39,90,119],"can":[15,49,70],"change":[16],"an":[17],"adversarially":[18],"chosen":[19],"s-fraction":[20],"of":[21,57,74,100,147,157,171,177,181,184,194],"measurement":[23],"vector.":[24],"The":[25],"adversarial":[26,51,105,125],"may":[29],"depend":[30],"on":[31,46],"both":[32],"observation":[34],"measurements.":[36],"demonstrate":[38],"nonlinear":[41],"least":[42],"absolute":[43],"deviation":[44],"based":[45],"amplitude":[47,164],"measurements":[48],"tolerate":[50,71],"up":[53],"to":[54,88,138,191,199],"a":[55,72,182],"fraction":[56,73,112],"<italic":[58,75],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,61,76,78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</i><sup":[60,77],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">*,":[62,79],"1</sup>":[63],"\u2248":[64,81],"0.2043,":[65],"while":[66],"intensity-based":[68,131],"model":[69,122],"2</sup>":[80],"0.1185.":[82],"Furthermore,":[83],"we":[84],"construct":[85],"adaptive":[86],"counterexamples":[87],"show":[89],"these":[91],"thresholds":[92],"are":[93,136],"theoretically":[94],"sharp,":[95],"thereby":[96],"showing":[97],"presentation":[99,193],"transition":[102],"in":[103,127,160],"when":[109],"corruption":[111],"exceeds":[113],"sharp":[115,202],"thresholds.":[116,203],"This":[117],"implies":[118],"amplitude-based":[121],"exhibits":[123],"superior":[124],"robustness":[126,161],"comparison":[128],"with":[129],"model.":[132],"Corresponding":[133],"experimental":[134],"results":[135,151],"presented":[137],"further":[139],"illustrate":[140],"our":[141,148,150,172],"theoretical":[142,155],"findings.":[143],"To":[144],"best":[146],"knowledge,":[149],"provide":[152],"first":[154],"examination":[156],"differences":[159],"performance":[162],"between":[163],"intensity":[166],"measurement.":[167],"A":[168],"crucial":[169],"aspect":[170],"analysis":[173],"is":[174],"exploration":[176],"exact":[179],"distribution":[180],"combination":[183],"two":[185],"non-independent":[186],"Gaussian":[187],"random":[188],"variables,":[189],"leading":[190],"novel":[195],"probability":[196],"density":[197],"functions":[198],"derive":[200]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}