{"id":"https://openalex.org/W3201965115","doi":"https://doi.org/10.1109/tsipn.2022.3211208","title":"Inferring Hidden Structures in Random Graphs","display_name":"Inferring Hidden Structures in Random Graphs","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3201965115","doi":"https://doi.org/10.1109/tsipn.2022.3211208","mag":"3201965115"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2022.3211208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3211208","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 Signal and Information Processing over Networks","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/A5043037048","display_name":"Wasim Huleihel","orcid":"https://orcid.org/0000-0001-7500-1911"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Wasim Huleihel","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering-Systems, Tel Aviv university, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0001-7500-1911","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv university, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043037048"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.7511,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67778179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"855","last_page":"867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7421276569366455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46528902649879456},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4494381844997406},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42974182963371277},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36206871271133423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34054625034332275},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09231632947921753}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7421276569366455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46528902649879456},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4494381844997406},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42974182963371277},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36206871271133423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34054625034332275},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09231632947921753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsipn.2022.3211208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2022.3211208","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 Signal and Information Processing over Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1431310876","display_name":null,"funder_award_id":"1734/21","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":88,"referenced_works":["https://openalex.org/W58673994","https://openalex.org/W390146837","https://openalex.org/W1460189015","https://openalex.org/W1486683834","https://openalex.org/W1524622012","https://openalex.org/W1535258871","https://openalex.org/W1546318054","https://openalex.org/W1692749124","https://openalex.org/W1733665134","https://openalex.org/W1803708361","https://openalex.org/W1832494616","https://openalex.org/W1922029667","https://openalex.org/W1967780722","https://openalex.org/W2033515640","https://openalex.org/W2042038477","https://openalex.org/W2045638068","https://openalex.org/W2046360729","https://openalex.org/W2051240017","https://openalex.org/W2069699650","https://openalex.org/W2088164510","https://openalex.org/W2099309550","https://openalex.org/W2129641333","https://openalex.org/W2151120858","https://openalex.org/W2151781750","https://openalex.org/W2166602562","https://openalex.org/W2168290833","https://openalex.org/W2269638945","https://openalex.org/W2478722229","https://openalex.org/W2531902758","https://openalex.org/W2569174811","https://openalex.org/W2574497079","https://openalex.org/W2607171573","https://openalex.org/W2767199097","https://openalex.org/W2770109286","https://openalex.org/W2805892743","https://openalex.org/W2806473647","https://openalex.org/W2811416829","https://openalex.org/W2899000973","https://openalex.org/W2952621790","https://openalex.org/W2962721953","https://openalex.org/W2962765998","https://openalex.org/W2963048722","https://openalex.org/W2963161367","https://openalex.org/W2963256102","https://openalex.org/W2963697238","https://openalex.org/W2963970515","https://openalex.org/W2964013305","https://openalex.org/W2964064174","https://openalex.org/W2964145111","https://openalex.org/W2964164735","https://openalex.org/W2964223166","https://openalex.org/W2964738308","https://openalex.org/W2965709068","https://openalex.org/W2966814762","https://openalex.org/W2972821478","https://openalex.org/W2997404769","https://openalex.org/W3003864485","https://openalex.org/W3034256405","https://openalex.org/W3035763474","https://openalex.org/W3046338636","https://openalex.org/W3098500246","https://openalex.org/W3100129515","https://openalex.org/W3100498669","https://openalex.org/W3100537129","https://openalex.org/W3101407508","https://openalex.org/W3104095169","https://openalex.org/W3106203247","https://openalex.org/W3106214974","https://openalex.org/W3106455008","https://openalex.org/W3127100532","https://openalex.org/W3143219376","https://openalex.org/W3144881883","https://openalex.org/W3199020008","https://openalex.org/W3201965115","https://openalex.org/W4210572675","https://openalex.org/W4235461144","https://openalex.org/W4251683043","https://openalex.org/W4312512934","https://openalex.org/W6602354584","https://openalex.org/W6634945324","https://openalex.org/W6636623131","https://openalex.org/W6638301903","https://openalex.org/W6638899303","https://openalex.org/W6715768296","https://openalex.org/W6752522928","https://openalex.org/W6758991586","https://openalex.org/W6759327578","https://openalex.org/W6776334202"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2073681303","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318"],"abstract_inverted_index":{"We":[0,177],"study":[1],"the":[2,35,38,62,108,112,120,125,137,147,180,208,221,228,232],"two":[3],"inference":[4],"problems":[5],"of":[6,13,43,100,110,146,159,182,223,231],"detecting":[7],"and":[8,127,166,202],"recovering":[9,111],"an":[10,44,66,92,198,213],"isolated":[11],"community":[12],"<italic":[14,93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[15,49,56,70,76,83,94,140,150,161],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">general</i>":[16],"structure":[17,68,138],"planted":[18,80],"in":[19,81,144,184,189],"a":[20,29,41,101],"random":[21,46],"graph.":[22],"The":[23],"detection":[24],"problem":[25,181],"is":[26,40,65,187],"formalized":[27],"as":[28,91,154,156],"hypothesis":[30],"testing":[31,183],"problem,":[32],"where":[33],"under":[34,61],"null":[36],"hypothesis,":[37],"graph":[39,47],"realization":[42],"Erd\u0151s-R\u00e9nyi":[45],"<inline-formula":[48,55,69,75,82,139,149,160],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[50,57,71,77,84,141,151,162],"notation=\"LaTeX\">$\\mathcal{G(n,q)}$</tex-math></inline-formula>":[51,85],"with":[52,107],"edge":[53],"density":[54],"notation=\"LaTeX\">$q\\in":[58],"(0,1)$</tex-math></inline-formula>":[59],";":[60],"alternative,":[63],"there":[64],"unknown":[67],"notation=\"LaTeX\">$\\Gamma":[72,142,163],"_{k}$</tex-math></inline-formula>":[73,143,164],"on":[74],"notation=\"LaTeX\">$k$</tex-math></inline-formula>":[78],"nodes,":[79],",":[86,153,165],"such":[87],"that":[88,172,220],"it":[89],"appears":[90],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">induced":[95],"subgraph</i>":[96],".":[97],"In":[98],"case":[99],"successful":[102],"detection,":[103],"we":[104,118,131,218,235],"are":[105],"concerned":[106],"task":[109],"corresponding":[113],"structure.":[114],"For":[115],"these":[116,174],"problems,":[117,194],"investigate":[119],"fundamental":[121],"limits":[122],"from":[123],"both":[124],"statistical":[126,209,229],"computational":[128,203],"perspectives.":[129],"Specifically,":[130],"derive":[132],"lower":[133,175],"bounds":[134],"for":[135,215],"detecting/recovering":[136],"terms":[145],"parameters":[148],"notation=\"LaTeX\">$(n,k,q)$</tex-math></inline-formula>":[152],"well":[155],"certain":[157],"properties":[158],"exhibit":[167],"computationally":[168],"unbounded":[169],"optimal":[170],"algorithms":[171,226,234],"achieve":[173],"bounds.":[176],"also":[178],"consider":[179],"polynomial-time.":[185],"As":[186],"customary":[188],"many":[190],"similar":[191],"structured":[192],"high-dimensional":[193],"our":[195],"model":[196],"undergoes":[197],"\u201ceasy-hard-impossible\u201d":[199],"phase":[200],"transition":[201],"constraints":[204],"can":[205],"severely":[206],"penalize":[207],"performance.":[210],"To":[211],"provide":[212],"evidence":[214],"this":[216],"phenomenon,":[217],"show":[219],"class":[222],"low-degree":[224],"polynomials":[225],"match":[227],"performance":[230],"polynomial-time":[233],"develop.":[236]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}