{"id":"https://openalex.org/W3200683381","doi":"https://doi.org/10.1007/s10208-021-09532-w","title":"Robust Group Synchronization via Cycle-Edge Message Passing","display_name":"Robust Group Synchronization via Cycle-Edge Message Passing","publication_year":2021,"publication_date":"2021-09-10","ids":{"openalex":"https://openalex.org/W3200683381","doi":"https://doi.org/10.1007/s10208-021-09532-w","mag":"3200683381"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-021-09532-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09532-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09532-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09532-w.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088795209","display_name":"Gilad Lerman","orcid":"https://orcid.org/0000-0003-4624-3115"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gilad Lerman","raw_affiliation_strings":["School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, USA","School of Mathematics, University of Minnesota, Minneapolis, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067532367","display_name":"Yunpeng Shi","orcid":"https://orcid.org/0000-0003-2388-2766"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunpeng Shi","raw_affiliation_strings":["Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA","Program in Applied and Computational Mathematics, Princeton University, Princeton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088795209"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9772,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.74793236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"22","issue":"6","first_page":"1665","last_page":"1741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9846000075340271,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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/synchronization","display_name":"Synchronization (alternating current)","score":0.7310234904289246},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6097031831741333},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5675843954086304},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5472778677940369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5086737275123596},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4496777057647705},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.44537994265556335},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.43326711654663086},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41952720284461975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3792474865913391},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3288455009460449},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.18412810564041138},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.16893982887268066},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14348021149635315},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11162364482879639},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07537007331848145}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7310234904289246},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6097031831741333},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5675843954086304},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5472778677940369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5086737275123596},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4496777057647705},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.44537994265556335},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.43326711654663086},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41952720284461975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3792474865913391},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3288455009460449},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.18412810564041138},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.16893982887268066},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14348021149635315},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11162364482879639},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07537007331848145},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-021-09532-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09532-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09532-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10208-021-09532-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09532-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09532-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G8336693978","display_name":null,"funder_award_id":"1821266","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200683381.pdf","grobid_xml":"https://content.openalex.org/works/W3200683381.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W648260396","https://openalex.org/W1490670270","https://openalex.org/W1773950164","https://openalex.org/W1866515447","https://openalex.org/W1879828528","https://openalex.org/W1958116060","https://openalex.org/W1985123706","https://openalex.org/W1993228150","https://openalex.org/W2007806707","https://openalex.org/W2016959837","https://openalex.org/W2019599312","https://openalex.org/W2032950184","https://openalex.org/W2050058873","https://openalex.org/W2051327384","https://openalex.org/W2058017216","https://openalex.org/W2071616405","https://openalex.org/W2072951627","https://openalex.org/W2082029531","https://openalex.org/W2099953425","https://openalex.org/W2105367101","https://openalex.org/W2143133882","https://openalex.org/W2143703915","https://openalex.org/W2151975094","https://openalex.org/W2155094592","https://openalex.org/W2161367205","https://openalex.org/W2167784882","https://openalex.org/W2171244244","https://openalex.org/W2216459995","https://openalex.org/W2519570530","https://openalex.org/W2536490006","https://openalex.org/W2559839022","https://openalex.org/W2560674852","https://openalex.org/W2751029369","https://openalex.org/W2757202163","https://openalex.org/W2795414842","https://openalex.org/W2900070768","https://openalex.org/W2945356054","https://openalex.org/W2962936676","https://openalex.org/W2962972410","https://openalex.org/W2963537367","https://openalex.org/W2963685135","https://openalex.org/W2963829083","https://openalex.org/W2963919656","https://openalex.org/W2964057188","https://openalex.org/W2964292545","https://openalex.org/W3043845044","https://openalex.org/W3092051052","https://openalex.org/W3098452187","https://openalex.org/W3099470093","https://openalex.org/W3101732789","https://openalex.org/W3103442202","https://openalex.org/W3103621654","https://openalex.org/W3104220292","https://openalex.org/W3106019109","https://openalex.org/W3124680869","https://openalex.org/W4230371388","https://openalex.org/W6603989641","https://openalex.org/W6609343778"],"related_works":["https://openalex.org/W2978729728","https://openalex.org/W3013085049","https://openalex.org/W4288966080","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W4385301946","https://openalex.org/W2006389905"],"abstract_inverted_index":{"Abstract":[0],"We":[1,59,76,117,129],"propose":[2],"a":[3,30,92,114,138],"general":[4],"framework":[5],"for":[6,70,85],"solving":[7,72],"the":[8,16,44,53,63,86,104,120,123],"group":[9,48,64,73],"synchronization":[10,54,74],"problem,":[11],"where":[12],"we":[13,28],"focus":[14],"on":[15],"setting":[17,94],"of":[18,47,106,122],"adversarial":[19,96],"or":[20],"uniform":[21,140],"corruption":[22,45,141],"and":[23,50,81],"sufficiently":[24],"small":[25],"noise.":[26,128],"Specifically,":[27],"apply":[29],"novel":[31],"message":[32,88],"passing":[33,89],"procedure":[34,90,125],"that":[35],"uses":[36],"cycle":[37,65],"consistency":[38,66],"information":[39,67],"in":[40,56],"order":[41],"to":[42,126],"estimate":[43],"levels":[46],"ratios":[49],"consequently":[51],"solve":[52],"problem":[55],"our":[57],"setting.":[58],"first":[60],"explain":[61],"why":[62],"is":[68,111],"essential":[69],"effectively":[71],"problems.":[75],"then":[77],"establish":[78,119,131],"exact":[79,132],"recovery":[80,133],"linear":[82],"convergence":[83],"guarantees":[84,99],"proposed":[87,124],"under":[91,137],"deterministic":[93],"with":[95,134],"corruption.":[97],"These":[98],"hold":[100],"as":[101,103],"long":[102],"ratio":[105],"corrupted":[107],"cycles":[108],"per":[109],"edge":[110],"bounded":[112],"by":[113],"reasonable":[115],"constant.":[116],"also":[118],"stability":[121],"sub-Gaussian":[127],"further":[130],"high":[135],"probability":[136],"common":[139],"model.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}