{"id":"https://openalex.org/W4312369222","doi":"https://doi.org/10.1109/tit.2022.3220046","title":"Rigorous State Evolution Analysis for Approximate Message Passing With Side Information","display_name":"Rigorous State Evolution Analysis for Approximate Message Passing With Side Information","publication_year":2022,"publication_date":"2022-11-09","ids":{"openalex":"https://openalex.org/W4312369222","doi":"https://doi.org/10.1109/tit.2022.3220046"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3220046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3220046","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/A5006673808","display_name":"Hangjin Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hangjin Liu","raw_affiliation_strings":["Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069505373","display_name":"Cynthia Rush","orcid":"https://orcid.org/0000-0001-6857-2855"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cynthia Rush","raw_affiliation_strings":["Department of Statistics, Columbia University, New York, NY, USA"],"raw_orcid":"https://orcid.org/0000-0001-6857-2855","affiliations":[{"raw_affiliation_string":"Department of Statistics, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037316256","display_name":"Dror Baron","orcid":"https://orcid.org/0000-0002-6371-8496"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dror Baron","raw_affiliation_strings":["Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, USA"],"raw_orcid":"https://orcid.org/0000-0002-6371-8496","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5608,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56471889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"6","first_page":"3989","last_page":"4013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/message-passing","display_name":"Message passing","score":0.7848169803619385},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.611161470413208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6049975156784058},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5273635983467102},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5065687894821167},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5044676065444946},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48968079686164856},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4838465750217438},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.4461449980735779},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44103533029556274},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3458714783191681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27796903252601624},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.10800632834434509},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09264150261878967}],"concepts":[{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.7848169803619385},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.611161470413208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6049975156784058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5273635983467102},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5065687894821167},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5044676065444946},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48968079686164856},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4838465750217438},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.4461449980735779},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44103533029556274},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3458714783191681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27796903252601624},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.10800632834434509},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09264150261878967},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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.2022.3220046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3220046","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":[],"awards":[{"id":"https://openalex.org/G4286494614","display_name":null,"funder_award_id":"1849883","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W158123262","https://openalex.org/W1480376833","https://openalex.org/W1570963478","https://openalex.org/W1674071555","https://openalex.org/W1837352444","https://openalex.org/W1965384704","https://openalex.org/W2082029531","https://openalex.org/W2088934832","https://openalex.org/W2150755939","https://openalex.org/W2162448125","https://openalex.org/W2163363194","https://openalex.org/W2166347904","https://openalex.org/W2166670884","https://openalex.org/W2478708596","https://openalex.org/W2513258002","https://openalex.org/W2596690402","https://openalex.org/W2610971674","https://openalex.org/W2620765931","https://openalex.org/W2799238699","https://openalex.org/W2884367479","https://openalex.org/W2912457157","https://openalex.org/W2963064298","https://openalex.org/W2963072996","https://openalex.org/W2963717880","https://openalex.org/W2975403430","https://openalex.org/W3000622525","https://openalex.org/W3007447106","https://openalex.org/W3009360862","https://openalex.org/W3015663348","https://openalex.org/W3047056972","https://openalex.org/W3080233790","https://openalex.org/W3081370447","https://openalex.org/W3098848552","https://openalex.org/W3102543958","https://openalex.org/W3103332290","https://openalex.org/W3103929211","https://openalex.org/W3124268854","https://openalex.org/W3161311252","https://openalex.org/W3162372285","https://openalex.org/W3187175611","https://openalex.org/W3198807388","https://openalex.org/W4236362309","https://openalex.org/W4242419164","https://openalex.org/W4249267926","https://openalex.org/W4292482091","https://openalex.org/W6684101231","https://openalex.org/W6726272548","https://openalex.org/W6775966872","https://openalex.org/W6794655780"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W2292976891","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W4240383795","https://openalex.org/W2008809748","https://openalex.org/W2140857733","https://openalex.org/W2951620698"],"abstract_inverted_index":{"A":[0],"common":[1],"goal":[2],"in":[3,53],"many":[4],"research":[5],"areas":[6],"is":[7,21,40,47,146],"to":[8,70,148,157],"reconstruct":[9],"an":[10],"unknown":[11],"signal$\\mathbf":[12],"{x}$from":[13],"noisy":[14],"linear":[15],"measurements.":[16],"Approximate":[17],"message":[18,73],"passing":[19,74],"(AMP)":[20],"a":[22,60,133,153],"class":[23],"of":[24,107,127],"low-complexity":[25],"algorithms":[26],"that":[27,43,64,167,170],"can":[28,173],"be":[29,149],"used":[30],"for":[31,51,91,121],"efficiently":[32],"solving":[33],"such":[34],"high-dimensional":[35],"regression":[36],"tasks.":[37],"Often,":[38],"it":[39],"the":[41,99,105,108,125,128,171,175],"case":[42],"side":[44,76],"information":[45,77],"(SI)":[46],"available":[48],"during":[49],"reconstruction,":[50],"example":[52],"online":[54],"learning":[55],"applications.":[56],"For":[57],"this":[58,84],"reason,":[59],"novel":[61],"algorithmic":[62],"framework":[63,136],"incorporates":[65],"SI":[66,102],"into":[67],"AMP,":[68],"referred":[69,156],"as":[71,158],"approximate":[72],"with":[75],"(AMP-SI),":[78],"has":[79],"been":[80],"recently":[81],"introduced.":[82],"In":[83],"work,":[85],"we":[86,163],"provide":[87,164],"rigorous":[88],"performance":[89,145],"guarantees":[90],"AMP-SI":[92,135,144,176],"when":[93],"there":[94],"are":[95,111],"statistical":[96,122],"dependencies":[97,123],"between":[98],"signal":[100,129],"and":[101,104,113,140],"pairs":[103],"entries":[106],"measurement":[109],"matrix":[110],"independent":[112],"identically":[114],"distributed":[115],"(i.i.d.)":[116],"Gaussian.":[117],"We":[118],"also":[119],"allow":[120],"within":[124],"elements":[126],"itself,":[130],"by":[131,152],"considering":[132],"flexible":[134],"incorporating":[137],"both":[138],"separable":[139],"non-separable":[141],"denoisers.":[142],"The":[143],"shown":[147],"provably":[150],"tracked":[151],"scalar":[154],"iteration":[155],"state":[159],"evolution":[160],"(SE).":[161],"Moreover,":[162],"numerical":[165],"examples":[166],"demonstrate":[168],"empirically":[169],"SE":[172],"predict":[174],"mean":[177],"square":[178],"error":[179],"accurately.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
