{"id":"https://openalex.org/W4405094404","doi":"https://doi.org/10.48550/arxiv.2412.03768","title":"Learning Networks from Wide-Sense Stationary Stochastic Processes","display_name":"Learning Networks from Wide-Sense Stationary Stochastic Processes","publication_year":2024,"publication_date":"2024-12-04","ids":{"openalex":"https://openalex.org/W4405094404","doi":"https://doi.org/10.48550/arxiv.2412.03768"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2412.03768","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.03768","pdf_url":"https://arxiv.org/pdf/2412.03768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2412.03768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082993079","display_name":"Anirudh Rayas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rayas, Anirudh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014576239","display_name":"Jiajun Cheng","orcid":"https://orcid.org/0000-0002-6995-430X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng, Jiajun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045285129","display_name":"Rajasekhar Anguluri","orcid":"https://orcid.org/0000-0003-2537-2778"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anguluri, Rajasekhar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086678567","display_name":"Deepjyoti Deka","orcid":"https://orcid.org/0000-0003-3928-3936"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Deka, Deepjyoti","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068042294","display_name":"Gautam Dasarathy","orcid":"https://orcid.org/0000-0003-2252-2988"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dasarathy, Gautam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9351000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9351000189781189,"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/sense","display_name":"Sense (electronics)","score":0.6773552298545837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4478302597999573},{"id":"https://openalex.org/keywords/cognitive-science","display_name":"Cognitive science","score":0.4056878685951233},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.36621537804603577},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.33572083711624146},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.18879380822181702},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13868650794029236}],"concepts":[{"id":"https://openalex.org/C143141573","wikidata":"https://www.wikidata.org/wiki/Q7450971","display_name":"Sense (electronics)","level":2,"score":0.6773552298545837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4478302597999573},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.4056878685951233},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.36621537804603577},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.33572083711624146},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.18879380822181702},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13868650794029236},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2412.03768","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.03768","pdf_url":"https://arxiv.org/pdf/2412.03768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2412.03768","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2412.03768","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2412.03768","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.03768","pdf_url":"https://arxiv.org/pdf/2412.03768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G521786763","display_name":"CAREER: Learning and Leveraging the Structure of Large Graphs: Novel Theory and Algorithms","funder_award_id":"2048223","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5804282277","display_name":null,"funder_award_id":"20230771DI","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G6351330733","display_name":"Graphical Models from Partially Observed Interactions with Biomedical Applications","funder_award_id":"5r01gm140468-03","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8142920145","display_name":null,"funder_award_id":"20230771DI","funder_id":"https://openalex.org/F4320337547","funder_display_name":"Laboratory Directed Research and Development"},{"id":"https://openalex.org/G8353291428","display_name":"Graphical Models from Partially Observed Interactions with Biomedical Applications","funder_award_id":"1r01gm140468-01","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337547","display_name":"Laboratory Directed Research and Development","ror":"https://ror.org/01e41cf67"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405094404.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4385542742","https://openalex.org/W4396701345","https://openalex.org/W2037111888","https://openalex.org/W3170014661"],"abstract_inverted_index":{"Complex":[0],"networked":[1],"systems":[2,33,211,221],"driven":[3],"by":[4,35],"latent":[5],"inputs":[6,49],"are":[7],"common":[8],"in":[9,112,187],"fields":[10],"like":[11],"neuroscience,":[12],"finance,":[13],"and":[14,50,53,147,191,206,213,216],"engineering.":[15],"A":[16],"key":[17],"inference":[18],"problem":[19,133],"here":[20],"is":[21,105,134,172],"to":[22,70],"learn":[23,84],"edge":[24,66],"connectivity":[25],"from":[26,89,219],"node":[27],"outputs":[28],"(potentials).":[29],"We":[30,128,181],"focus":[31],"on":[32,151,204],"governed":[34],"steady-state":[36],"linear":[37],"conservation":[38],"laws:":[39],"$X_t":[40],"=":[41],"{L^{\\ast}}Y_{t}$,":[42],"where":[43,116,170],"$X_t,":[44],"Y_t":[45],"\\in":[46],"\\mathbb{R}^p$":[47],"denote":[48],"potentials,":[51],"respectively,":[52],"the":[54,58,65,85,113,117,123,131,158,162,173,177,224],"sparsity":[55,163],"pattern":[56,164],"of":[57,87,93,125,165,176],"$p":[59],"\\times":[60],"p$":[61],"Laplacian":[62],"$L^{\\ast}$":[63,88],"encodes":[64],"structure.":[67],"Assuming":[68],"$X_t$":[69],"be":[71],"a":[72,78,138,142],"wide-sense":[73],"stationary":[74],"stochastic":[75],"process":[76],"with":[77,167,200],"known":[79],"spectral":[80],"density":[81],"matrix,":[82],"we":[83,155,195],"support":[86],"temporally":[90],"correlated":[91],"samples":[92,126],"$Y_t$":[94],"via":[95],"an":[96],"$\\ell_1$-regularized":[97],"Whittle's":[98],"maximum":[99,174],"likelihood":[100],"estimator":[101],"(MLE).":[102],"The":[103],"regularization":[104],"particularly":[106],"useful":[107],"for":[108,185],"learning":[109],"large-scale":[110],"networks":[111],"high-dimensional":[114],"setting":[115],"network":[118],"size":[119],"$p$":[120],"significantly":[121],"exceeds":[122],"number":[124],"$n$.":[127],"show":[129,156],"that":[130,157],"MLE":[132],"strictly":[135],"convex,":[136],"admitting":[137],"unique":[139],"solution.":[140],"Under":[141],"novel":[143],"mutual":[144],"incoherence":[145],"condition":[146],"certain":[148],"sufficient":[149],"conditions":[150],"$(n,":[152],"p,":[153],"d)$,":[154],"ML":[159],"estimate":[160],"recovers":[161],"$L^\\ast$":[166,186],"high":[168],"probability,":[169],"$d$":[171],"degree":[175],"graph":[178],"underlying":[179],"$L^{\\ast}$.":[180],"provide":[182],"recovery":[183],"guarantees":[184],"element-wise":[188],"maximum,":[189],"Frobenius,":[190],"operator":[192],"norms.":[193],"Finally,":[194],"complement":[196],"our":[197],"theoretical":[198],"results":[199],"several":[201],"simulation":[202],"studies":[203],"synthetic":[205],"benchmark":[207],"datasets,":[208],"including":[209],"engineered":[210],"(power":[212],"water":[214],"networks),":[215],"real-world":[217],"datasets":[218],"neural":[220],"(such":[222],"as":[223],"human":[225],"brain).":[226]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}