{"id":"https://openalex.org/W3212567140","doi":"https://doi.org/10.1109/tac.2021.3124979","title":"Topology Learning of Linear Dynamical Systems With Latent Nodes Using Matrix Decomposition","display_name":"Topology Learning of Linear Dynamical Systems With Latent Nodes Using Matrix Decomposition","publication_year":2021,"publication_date":"2021-11-04","ids":{"openalex":"https://openalex.org/W3212567140","doi":"https://doi.org/10.1109/tac.2021.3124979","mag":"3212567140"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3124979","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3124979","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5077908890","display_name":"Mishfad Shaikh Veedu","orcid":null},"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":"Mishfad Shaikh Veedu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086348217","display_name":"Harish Doddi","orcid":"https://orcid.org/0000-0001-7704-8529"},"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":false,"raw_author_name":"Harish Doddi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069864205","display_name":"Murti V. Salapaka","orcid":"https://orcid.org/0000-0002-4595-9683"},"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":false,"raw_author_name":"Murti V. Salapaka","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077908890"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":2.207,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88713174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"67","issue":"11","first_page":"5746","last_page":"5761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9873999953269958,"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":0.9873999953269958,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9674999713897705,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/identifiability","display_name":"Identifiability","score":0.5993884801864624},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5902086496353149},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.557191014289856},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5316586494445801},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.511310338973999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4960380494594574},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.4765380322933197},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47334909439086914},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4287920594215393},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.41803160309791565},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4178408980369568},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.41737282276153564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32638657093048096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3063541650772095},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2923174500465393},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.22730684280395508}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.5993884801864624},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5902086496353149},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.557191014289856},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5316586494445801},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.511310338973999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4960380494594574},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.4765380322933197},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47334909439086914},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4287920594215393},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.41803160309791565},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4178408980369568},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.41737282276153564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32638657093048096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3063541650772095},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2923174500465393},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.22730684280395508},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3124979","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3124979","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.49000000953674316}],"awards":[],"funders":[{"id":"https://openalex.org/F4320332276","display_name":"Advanced Research Projects Agency - Energy","ror":"https://ror.org/03q1rgc19"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1518341038","https://openalex.org/W1523507525","https://openalex.org/W1571403844","https://openalex.org/W1746680969","https://openalex.org/W1943159047","https://openalex.org/W2001667451","https://openalex.org/W2003753589","https://openalex.org/W2014815494","https://openalex.org/W2052763589","https://openalex.org/W2081771462","https://openalex.org/W2107861998","https://openalex.org/W2126151607","https://openalex.org/W2129632913","https://openalex.org/W2155813684","https://openalex.org/W2166361350","https://openalex.org/W2291011126","https://openalex.org/W2536620281","https://openalex.org/W2571351253","https://openalex.org/W2592869444","https://openalex.org/W2782834196","https://openalex.org/W2783270046","https://openalex.org/W2911829109","https://openalex.org/W2912725263","https://openalex.org/W2944347790","https://openalex.org/W2953104414","https://openalex.org/W2962800822","https://openalex.org/W2963095614","https://openalex.org/W2963122925","https://openalex.org/W2963250855","https://openalex.org/W2963454367","https://openalex.org/W2963711574","https://openalex.org/W2964256141","https://openalex.org/W2964282423","https://openalex.org/W2989573188","https://openalex.org/W2990138404","https://openalex.org/W2996558664","https://openalex.org/W3004272652","https://openalex.org/W3010857450","https://openalex.org/W3013169514","https://openalex.org/W3014102838","https://openalex.org/W3033288782","https://openalex.org/W3095194325","https://openalex.org/W3104624268","https://openalex.org/W3110789415","https://openalex.org/W3119207197","https://openalex.org/W3164454930","https://openalex.org/W3181383246","https://openalex.org/W4229706427","https://openalex.org/W6679280813","https://openalex.org/W6767921672","https://openalex.org/W6779271923","https://openalex.org/W6798874623"],"related_works":["https://openalex.org/W2091883426","https://openalex.org/W2174948646","https://openalex.org/W3173235360","https://openalex.org/W2024017047","https://openalex.org/W4318256793","https://openalex.org/W2594370889","https://openalex.org/W2390720471","https://openalex.org/W2051410394","https://openalex.org/W4391266752","https://openalex.org/W2898722594"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,232],"present":[4],"a":[5,53,114,122,127,133,150,181],"novel":[6],"approach":[7,33],"to":[8,24,163],"reconstruct":[9],"the":[10,36,40,67,83,87,99,110,138,145,155,158,165,168,174,190,194,219,223,226,239,242],"topology":[11,221],"of":[12,39,42,55,98,113,121,136,141,144,147,167,177,184,222],"networked":[13],"linear":[14],"dynamical":[15],"systems":[16],"with":[17,82],"latent":[18,178],"nodes.":[19,101,179],"The":[20,31,74,102],"network":[21,224],"is":[22,161],"allowed":[23],"have":[25],"directed":[26],"loops":[27],"and":[28,57,63,71,86,93,106,126,157,211,241],"bi-directed":[29],"edges.":[30],"main":[32],"relies":[34],"on":[35,202,235],"unique":[37,111,139],"decomposition":[38,112,140],"inverse":[41],"power":[43],"spectral":[44],"density":[45],"matrix":[46,118],"(IPSDM)":[47],"obtained":[48],"from":[49,225],"observed":[50,84,148,169,195,212],"nodes":[51,170,196,204,213],"as":[52,171,173],"sum":[54,120],"sparse":[56,70,75,123,156],"low-rank":[58,72,88,128,159],"matrices.":[59,131],"We":[60],"provide":[61,233],"conditions":[62,108,201],"methods":[64],"for":[65,109,206,229],"decomposing":[66],"IPSDM":[68,146],"into":[69,119,154],"components.":[73],"component":[76,89],"yields":[77],"moral":[78],"graph":[79],"(MG)":[80],"associated":[81],"nodes,":[85,149],"retrieves":[90],"parents,":[91],"children":[92],"spouses":[94],"(the":[95],"Markov":[96,175],"Blanket)":[97],"hidden":[100,203,210],"article":[103],"provides":[104],"necessary":[105],"sufficient":[107,162],"given":[115],"skew":[116,124,129,151],"symmetric":[117,125,130,152],"For":[132,180],"large":[134,182],"class":[135,183],"systems,":[137,185],"imaginary":[142],"part":[143],"matrix,":[153],"components":[160],"identify":[164],"MG":[166,191],"well":[172],"Blanket":[176],"all":[186],"spurious":[187],"links":[188,208],"in":[189],"formed":[192],"by":[193],"can":[197,214],"be":[198,215],"identified.":[199],"Assuming":[200],"required":[205],"identifiability,":[207],"between":[209,238],"reconstructed,":[216],"thus":[217],"retrieving":[218],"exact":[220],"IPSDM.":[227],"Moreover,":[228],"finite":[230],"data,":[231],"bounds":[234],"entry-wise":[236],"distance":[237],"true":[240],"estimated":[243],"IPSDMs.":[244]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}