{"id":"https://openalex.org/W1941452196","doi":"https://doi.org/10.1109/isit.2015.7282734","title":"Inference for Generalized Linear Models via alternating directions and Bethe Free Energy minimization","display_name":"Inference for Generalized Linear Models via alternating directions and Bethe Free Energy minimization","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1941452196","doi":"https://doi.org/10.1109/isit.2015.7282734","mag":"1941452196"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282734","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/226187","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000099903","display_name":"Sundeep Rangan","orcid":"https://orcid.org/0000-0002-0925-8169"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sundeep Rangan","raw_affiliation_strings":["NYU-Poly, Elec. & Comp. Engineering, USA"],"affiliations":[{"raw_affiliation_string":"NYU-Poly, Elec. & Comp. Engineering, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073129946","display_name":"Alyson K. Fletcher","orcid":"https://orcid.org/0000-0002-3756-6580"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alyson K. Fletcher","raw_affiliation_strings":["U.C. Santa Cruz., Elec. Engineering, USA"],"affiliations":[{"raw_affiliation_string":"U.C. Santa Cruz., Elec. Engineering, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045693581","display_name":"Philip Schniter","orcid":"https://orcid.org/0000-0003-0939-7545"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Schniter","raw_affiliation_strings":["The Ohio State Univ., Elec. & Comp. Engineering, USA"],"affiliations":[{"raw_affiliation_string":"The Ohio State Univ., Elec. & Comp. Engineering, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024602237","display_name":"Ulugbek S. Kamilov","orcid":"https://orcid.org/0000-0001-6770-3278"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ulugbek S. Kamilov","raw_affiliation_strings":["EPFL, Biomed. Imaging Group, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Biomed. Imaging Group, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000099903"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7973,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.97954805,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1640","last_page":"1644"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9958000183105469,"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/minification","display_name":"Minification","score":0.5539851188659668},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.5471540689468384},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5373908877372742},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5301298499107361},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5181359052658081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5102565288543701},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5083381533622742},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48947370052337646},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4845392107963562},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.4726630449295044},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37185853719711304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35400766134262085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28395646810531616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1371230185031891},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09568428993225098},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08411198854446411}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5539851188659668},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5471540689468384},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5373908877372742},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5301298499107361},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5181359052658081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5102565288543701},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5083381533622742},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48947370052337646},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4845392107963562},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.4726630449295044},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37185853719711304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35400766134262085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28395646810531616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1371230185031891},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09568428993225098},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08411198854446411},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2015.7282734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282734","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:226187","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/226187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:226187","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/134927","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:226187","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/226187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1539800233","https://openalex.org/W2019599312","https://openalex.org/W2023584248","https://openalex.org/W2044797198","https://openalex.org/W2060430274","https://openalex.org/W2082029531","https://openalex.org/W2112239465","https://openalex.org/W2135046866","https://openalex.org/W2147102238","https://openalex.org/W2164031139","https://openalex.org/W2166670884","https://openalex.org/W2166946414","https://openalex.org/W2538202101","https://openalex.org/W2761315682","https://openalex.org/W2761643725","https://openalex.org/W2942034734","https://openalex.org/W2963072996","https://openalex.org/W2963206527","https://openalex.org/W3098848552","https://openalex.org/W3103424327","https://openalex.org/W3105163160","https://openalex.org/W3145937384","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W1504381128","https://openalex.org/W2781477133","https://openalex.org/W2001455358","https://openalex.org/W2557596507","https://openalex.org/W2040032566","https://openalex.org/W3211527481","https://openalex.org/W4225941085","https://openalex.org/W2109076885","https://openalex.org/W4289791439","https://openalex.org/W639208967"],"abstract_inverted_index":{"Generalized":[0],"Linear":[1],"Models":[2],"(GLMs),":[3],"where":[4,120],"a":[5,12,18,26,46,89,103,117,179,187],"random":[6],"vector":[7],"x":[8],"is":[9,149,165,174,193],"observed":[10],"through":[11],"noisy,":[13],"possibly":[14],"nonlinear,":[15],"function":[16],"of":[17,28,49,102,107,141,182,206],"linear":[19],"transform":[20],"z":[21],"=":[22],"Ax":[23],"arise":[24],"in":[25,30,54,151],"range":[27],"applications":[29],"nonlinear":[31],"filtering":[32],"and":[33,63,128],"regression.":[34],"Approximate":[35],"Message":[36],"Passing":[37],"(AMP)":[38],"methods,":[39],"based":[40,98],"on":[41,99],"loopy":[42],"belief":[43],"propagation,":[44],"are":[45,59,199],"promising":[47],"class":[48],"approaches":[50],"for":[51,70,72,83,168,209],"approximate":[52],"inference":[53],"these":[55],"models.":[56],"AMP":[57,95],"methods":[58],"computationally":[60],"simple,":[61],"general,":[62],"admit":[64],"precise":[65],"analyses":[66],"with":[67,159],"testable":[68],"conditions":[69],"optimality":[71],"large":[73],"i.i.d.":[74],"transforms":[75],"A.":[76],"However,":[77],"the":[78,93,108,121,126,129,133,137,154,183,204,207],"algorithms":[79],"can":[80],"easily":[81],"diverge":[82],"general":[84],"transforms.":[85,197],"This":[86],"paper":[87],"presents":[88],"convergent":[90,188],"approach":[91],"to":[92,153,176,178,190],"generalized":[94],"(GAMP)":[96],"algorithm":[97],"direct":[100],"minimization":[101],"large-system":[104],"limit":[105],"approximation":[106],"Bethe":[109],"Free":[110],"Energy":[111],"(LSL-BFE).":[112],"The":[113,144],"proposed":[114,145],"method":[115,208],"uses":[116],"double-loop":[118],"procedure,":[119],"outer":[122],"loop":[123,131],"successively":[124],"linearizes":[125],"LSL-BFE":[127,135],"inner":[130],"minimizes":[132],"linearized":[134],"using":[136],"Alternating":[138],"Direction":[139],"Method":[140],"Multipliers":[142],"(ADMM).":[143],"method,":[146,157],"called":[147],"ADMM-GAMP,":[148],"similar":[150],"structure":[152],"original":[155],"GAMP":[156,191],"but":[158],"an":[160],"additional":[161],"least-squares":[162],"minimization.":[163],"It":[164],"shown":[166],"that":[167,192,202],"strictly":[169],"convex,":[170],"smooth":[171],"penalties,":[172],"ADMM-GAMP":[173],"guaranteed":[175],"converge":[177],"local":[180],"minima":[181],"LSL-BFE,":[184],"thus":[185],"providing":[186],"alternative":[189],"stable":[194],"under":[195],"arbitrary":[196],"Simulations":[198],"also":[200],"presented":[201],"demonstrate":[203],"robustness":[205],"non-convex":[210],"penalties":[211],"as":[212],"well.":[213]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}