{"id":"https://openalex.org/W7153643056","doi":"https://doi.org/10.1007/s10957-026-02967-7","title":"Sparse Optimization of Cross-Power Spectra in Linear Inverse Models from Brain Connectivity","display_name":"Sparse Optimization of Cross-Power Spectra in Linear Inverse Models from Brain Connectivity","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7153643056","doi":"https://doi.org/10.1007/s10957-026-02967-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-026-02967-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-026-02967-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-026-02967-7.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/s10957-026-02967-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025734655","display_name":"Laura Carini","orcid":"https://orcid.org/0009-0001-0089-701X"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Carini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083413521","display_name":"Isabella Furci","orcid":"https://orcid.org/0000-0001-8864-6786"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Isabella Furci","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066610580","display_name":"Sara Sommariva","orcid":"https://orcid.org/0000-0003-1835-9399"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Sara Sommariva","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1835-9399","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066610580"],"corresponding_institution_ids":["https://openalex.org/I83816512"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.43705089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"209","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10241","display_name":"Functional Brain Connectivity Studies","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10241","display_name":"Functional Brain Connectivity Studies","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.01360000018030405,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.002099999925121665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5922999978065491},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5685999989509583},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5214999914169312},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.48980000615119934},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4837000072002411},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4805999994277954},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43880000710487366},{"id":"https://openalex.org/keywords/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.4009999930858612},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.37310001254081726}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5922999978065491},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5685999989509583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5432999730110168},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5214999914169312},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.48980000615119934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48539999127388},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4837000072002411},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4805999994277954},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43880000710487366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43810001015663147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4049000144004822},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.4009999930858612},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.33160001039505005},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.311599999666214},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.3093999922275543},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C131109320","wikidata":"https://www.wikidata.org/wiki/Q581012","display_name":"Linear prediction","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.25690001249313354}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-026-02967-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-026-02967-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-026-02967-7.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:unige.iris.cineca.it:11567/1296659","is_oa":true,"landing_page_url":"https://hdl.handle.net/11567/1296659","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10957-026-02967-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-026-02967-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-026-02967-7.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2632433025","display_name":null,"funder_award_id":"PE0000006","funder_id":"https://openalex.org/F4320322794","funder_display_name":"Universit\u00e0 degli Studi di Genova"},{"id":"https://openalex.org/G3752830834","display_name":null,"funder_award_id":"CUP E53C23001670001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G4772130973","display_name":null,"funder_award_id":"E53C23001670001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G4945003250","display_name":null,"funder_award_id":"CUP E53C23001670001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G5488169599","display_name":null,"funder_award_id":"E53C23001670001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5766285997","display_name":null,"funder_award_id":"PE0000006","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8385511297","display_name":null,"funder_award_id":"CUP: D53D23005830006","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320322794","display_name":"Universit\u00e0 degli Studi di Genova","ror":"https://ror.org/0107c5v14"},{"id":"https://openalex.org/F4320331528","display_name":"Ministero dell'Universit\u00e0 e della Ricerca","ror":null},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7153643056.pdf","grobid_xml":"https://content.openalex.org/works/W7153643056.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1961498716","https://openalex.org/W1966641148","https://openalex.org/W1973042443","https://openalex.org/W1987387046","https://openalex.org/W1997616626","https://openalex.org/W2016980059","https://openalex.org/W2020532906","https://openalex.org/W2043729845","https://openalex.org/W2064902060","https://openalex.org/W2077491345","https://openalex.org/W2100556411","https://openalex.org/W2104731571","https://openalex.org/W2106822551","https://openalex.org/W2109449402","https://openalex.org/W2109582949","https://openalex.org/W2135046866","https://openalex.org/W2155325587","https://openalex.org/W2417567298","https://openalex.org/W2767901311","https://openalex.org/W2888488583","https://openalex.org/W2899365895","https://openalex.org/W2947626232","https://openalex.org/W2971677002","https://openalex.org/W3139451344","https://openalex.org/W3185263971","https://openalex.org/W4245496037","https://openalex.org/W4254863419","https://openalex.org/W4285150684","https://openalex.org/W4386609908","https://openalex.org/W4403006635"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"work,":[3],"we":[4,70,92,143],"present":[5],"a":[6,18,67,73,139,170,178,193],"computationally":[7],"efficient":[8],"linear":[9,194],"optimization":[10,195],"approach":[11,113,135],"for":[12,59,116],"estimating":[13],"the":[14,31,35,51,81,88,98,105,124,133,147,154,183,187,199,206],"cross\u2013power":[15,36,201],"spectrum":[16,202],"of":[17,25,34,87,97,126,132,156],"hidden":[19,184],"multivariate":[20],"stochastic":[21],"process":[22,185],"from":[23,205],"that":[24,72,164],"another":[26],"observed":[27],"process.":[28],"Sparsity":[29],"in":[30,108,123,138,153],"resulting":[32],"estimator":[33],"is":[37,57,77,136,190,203],"induced":[38],"through":[39,192],"$$\\ell":[40],"_1$$":[41],"<mml:math":[42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[43],"<mml:msub>":[44],"<mml:mi>\u2113</mml:mi>":[45],"<mml:mn>1</mml:mn>":[46],"</mml:msub>":[47],"</mml:math>":[48],"regularization":[49],"and":[50,84,197],"Fast":[52],"Iterative":[53],"Shrinkage-Thresholding":[54],"Algorithm":[55],"(FISTA)":[56],"used":[58],"computing":[60],"such":[61,119],"an":[62],"estimator.":[63],"With":[64],"respect":[65],"to":[66,79,110],"standard":[68],"implementation,":[69],"prove":[71],"proper":[74],"initialization":[75],"step":[76,196],"sufficient":[78],"guarantee":[80],"required":[82],"symmetric":[83],"antisymmetric":[85],"properties":[86,96],"involved":[89],"quantities.":[90],"Further,":[91],"show":[93,163],"how":[94],"structural":[95],"forward":[99],"operator":[100],"can":[101],"be":[102],"exploited":[103],"within":[104],"FISTA":[106],"update":[107],"order":[109],"make":[111],"our":[112,165],"adequate":[114],"also":[115],"large\u2013scale":[117],"problems":[118],"as":[120],"those":[121],"arising":[122],"context":[125,155],"brain":[127,151,188],"functional":[128],"connectivity.":[129],"The":[130],"effectiveness":[131],"proposed":[134],"shown":[137],"practical":[140],"scenario":[141],"where":[142,181],"aim":[144],"at":[145],"quantifying":[146],"statistical":[148],"relationships":[149],"between":[150],"regions":[152],"non-invasive":[157],"electromagnetic":[158],"field":[159],"recordings.":[160],"Our":[161],"results":[162,168],"method":[166],"provides":[167],"with":[169],"higher":[171],"specificity":[172],"than":[173],"classical":[174],"approaches":[175],"based":[176],"on":[177],"two\u2013step":[179],"procedure":[180],"first":[182],"describing":[186],"activity":[189],"estimated":[191,207],"then":[198],"cortical":[200],"computed":[204],"time\u2013series.":[208]},"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-04-12T00:00:00"}
