{"id":"https://openalex.org/W7204189512","doi":"https://doi.org/10.21203/rs.3.rs-10821560/v1","title":"A Tensor Network Framework for Interpretable Graph Analysis of Brain Networks","display_name":"A Tensor Network Framework for Interpretable Graph Analysis of Brain Networks","publication_year":2026,"publication_date":"2026-09-09","ids":{"openalex":"https://openalex.org/W7204189512","doi":"https://doi.org/10.21203/rs.3.rs-10821560/v1"},"language":"en","primary_location":{"id":"doi:10.21203/rs.3.rs-10821560/v1","doi":"https://doi.org/10.21203/rs.3.rs-10821560/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10821560/v1","pdf_url":"https://www.researchsquare.com/article/rs-10821560/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.researchsquare.com/article/rs-10821560/latest.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027102184","display_name":"Domenico Pomarico","orcid":"https://orcid.org/0000-0002-0157-3471","observed_orcids":["https://orcid.org/0000-0002-0157-3471"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Domenico Pomarico","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077244311","display_name":"Giuseppe Magnifico","orcid":"https://orcid.org/0000-0002-7280-445X","observed_orcids":["https://orcid.org/0000-0002-7280-445X","https://orcid.org/0000-0003-4593-7369"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Magnifico","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031074197","display_name":"Alessandro Grecucci","orcid":"https://orcid.org/0000-0001-6043-2196","observed_orcids":["https://orcid.org/0000-0001-6043-2196"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Grecucci","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026664739","display_name":"Loredana Bellantuono","orcid":"https://orcid.org/0000-0002-1333-2675","observed_orcids":["https://orcid.org/0000-0002-1333-2675"]},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Loredana Bellantuono","raw_affiliation_strings":["Istituto Nazionale di Fisica Nucleare (INFN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN)","institution_ids":["https://openalex.org/I160013858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065897233","display_name":"Jes\u00fas M. Cort\u00e9s","orcid":"https://orcid.org/0000-0002-9059-8194","observed_orcids":["https://orcid.org/0000-0002-9059-8194"]},"institutions":[{"id":"https://openalex.org/I4210089430","display_name":"BioCruces Health research Institute","ror":"https://ror.org/0061s4v88","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210089430"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jesus M. Cortes","raw_affiliation_strings":["Biocruces-Bizkaia Health Research Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biocruces-Bizkaia Health Research Institute","institution_ids":["https://openalex.org/I4210089430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059434185","display_name":"Marianna La Rocca","orcid":"https://orcid.org/0000-0002-2254-1583","observed_orcids":["https://orcid.org/0000-0002-2254-1583"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marianna La Rocca","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009283925","display_name":"Alfonso Monaco","orcid":"https://orcid.org/0000-0002-5968-8642","observed_orcids":["https://orcid.org/0000-0002-5968-8642"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alfonso Monaco","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028839755","display_name":"Marlis Ontivero-Ortega","orcid":"https://orcid.org/0000-0003-0084-8274","observed_orcids":["https://orcid.org/0000-0003-0084-8274"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marlis Ontivero-Ortega","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098685256","display_name":"Alessandro Scarano","orcid":"https://orcid.org/0009-0000-0456-7213","observed_orcids":["https://orcid.org/0009-0000-0456-7213"]},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Scarano","raw_affiliation_strings":["University of Trento"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Trento","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074066409","display_name":"Massimo Stella","orcid":"https://orcid.org/0000-0003-1810-9699","observed_orcids":["https://orcid.org/0000-0003-1810-9699"]},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Massimo Stella","raw_affiliation_strings":["University of Trento"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Trento","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014383766","display_name":"R. Bellotti","orcid":"https://orcid.org/0000-0003-3198-2708","observed_orcids":["https://orcid.org/0000-0003-3198-2708"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Bellotti","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085541040","display_name":"Sebastiano Stramaglia","orcid":"https://orcid.org/0000-0002-5873-8564","observed_orcids":["https://orcid.org/0000-0002-5873-8564"]},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sebastiano Stramaglia","raw_affiliation_strings":["Universit\u00e0 degli Studi di Bari Aldo Moro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Bari Aldo Moro","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000517454","display_name":"Nicola Amoroso","orcid":"https://orcid.org/0000-0003-0211-0783","observed_orcids":["https://orcid.org/0000-0003-0211-0783"]},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicola Amoroso","raw_affiliation_strings":["Istituto Nazionale di Fisica Nucleare (INFN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN)","institution_ids":["https://openalex.org/I160013858"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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/T10241","display_name":"Functional Brain Connectivity Studies","score":0.9272000193595886,"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":0.9272000193595886,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.012799999676644802,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/matrix-product-states","display_name":"matrix product states","score":0.8650000095367432},{"id":"https://openalex.org/keywords/brain-networks","display_name":"brain networks","score":0.7680000066757202},{"id":"https://openalex.org/keywords/schizophrenia","display_name":"schizophrenia","score":0.4359999895095825},{"id":"https://openalex.org/keywords/bipolar-disorder","display_name":"bipolar disorder","score":1.0},{"id":"https://openalex.org/keywords/node-centrality","display_name":"node centrality","score":0.6290000081062317},{"id":"https://openalex.org/keywords/higher-order-feature-interactions","display_name":"higher-order feature interactions","score":0.7509999871253967},{"id":"https://openalex.org/keywords/structural-mri","display_name":"structural MRI","score":0.5550000071525574},{"id":"https://openalex.org/keywords/model-interpretability","display_name":"model interpretability","score":0.6029999852180481},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.8180000185966492}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6689000129699707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6248999834060669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5859000086784363},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.5350000262260437},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.47609999775886536},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.43639999628067017},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4284999966621399},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.39879998564720154},{"id":"https://openalex.org/C58693492","wikidata":"https://www.wikidata.org/wiki/Q551875","display_name":"Neuroimaging","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.37119999527931213},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.3634999990463257},{"id":"https://openalex.org/C59404180","wikidata":"https://www.wikidata.org/wiki/Q17013334","display_name":"Feature learning","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.32600000500679016},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3172999918460846},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C2776412080","wikidata":"https://www.wikidata.org/wiki/Q7431605","display_name":"Schizophrenia (object-oriented programming)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C8521452","wikidata":"https://www.wikidata.org/wiki/Q203790","display_name":"Connectionism","level":3,"score":0.2728999853134155},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C101738243","wikidata":"https://www.wikidata.org/wiki/Q786435","display_name":"Autoencoder","level":3,"score":0.2630999982357025},{"id":"https://openalex.org/C11804174","wikidata":"https://www.wikidata.org/wiki/Q1192971","display_name":"Network theory","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C54170458","wikidata":"https://www.wikidata.org/wiki/Q663554","display_name":"Voxel","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.2517000138759613}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.21203/rs.3.rs-10821560/v1","doi":"https://doi.org/10.21203/rs.3.rs-10821560/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10821560/v1","pdf_url":"https://www.researchsquare.com/article/rs-10821560/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},{"id":"pmh:oai:arXiv.org:2608.21368","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21368","pdf_url":"https://arxiv.org/pdf/2608.21368","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,"listed_in":[],"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.2608.21368","doi":"https://doi.org/10.48550/arxiv.2608.21368","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.21368","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,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.21203/rs.3.rs-10821560/v1","doi":"https://doi.org/10.21203/rs.3.rs-10821560/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10821560/v1","pdf_url":"https://www.researchsquare.com/article/rs-10821560/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204189512.pdf","grobid_xml":"https://content.openalex.org/works/W7204189512.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4409546658","https://openalex.org/W7099770799","https://openalex.org/W4296217498","https://openalex.org/W1902660870","https://openalex.org/W2621677039","https://openalex.org/W2514941901","https://openalex.org/W4225011360","https://openalex.org/W4415050842","https://openalex.org/W4402703689","https://openalex.org/W4415714874"],"abstract_inverted_index":{"Abstract":[0],"Identifying":[1],"robust":[2],"neurobiological":[3],"signatures":[4,120],"of":[5,19,38,106,121,141,159,196,208,228],"brain":[6,123,143],"disorders":[7],"requires":[8],"machine":[9,32],"learning":[10,33,111],"approaches":[11],"that":[12,34,171],"combine":[13],"predictive":[14],"performance":[15],"with":[16,213],"interpretable":[17,119],"representations":[18,37],"feature":[20,80,202],"interactions.":[21],"Here":[22],"we":[23,84,130],"introduce":[24],"a":[25,43,49,67,87,97,156,206,225],"quantum-inspired":[26],"framework":[27],"based":[28],"on":[29,135],"tensor":[30],"network":[31,108,198],"learns":[35],"distributed":[36],"gray-matter":[39,160],"features":[40],"encoded":[41],"in":[42,220],"Matrix":[44],"Product":[45],"State":[46],"representation":[47],",":[48],"variational":[50],"ansatz":[51],"originally":[52],"developed":[53],"for":[54],"quantum":[55,72],"many-body":[56],"systems.":[57],"The":[58,200],"trained":[59],"model":[60],"is":[61],"then":[62],"used":[63],"not":[64],"only":[65],"as":[66,139,173,205],"classifier":[68],"but":[69],"to":[70,94],"extract":[71],"connected":[73],"correlations":[74],"between":[75],"features,":[76,161],"which":[77,83],"encode":[78],"higher-order":[79],"interactions":[81],"and":[82,113,149,168,179,223],"map":[85],"onto":[86],"weighted":[88],"graph.":[89],"This":[90],"construction":[91],"allows":[92],"us":[93],"track,":[95],"within":[96],"single":[98],"representation,":[99],"both:":[100],"(i)":[101],"the":[102,107,193,197,209,214],"global":[103],"spectral":[104],"properties":[105],"(capturing":[109],"collective":[110],"dynamics),":[112],"(ii)":[114],"node-level":[115],"centrality":[116,177],"measures":[117,178],"(providing":[118],"individual":[122],"regions).":[124],"Using":[125],"repeated":[126],"train-test":[127],"sampling":[128],"schemes,":[129],"analyze":[131],"two":[132],"classification":[133],"tasks":[134],"structural":[136],"MRI":[137],"data":[138],"examples":[140],"complex":[142],"disorders:":[144],"healthy":[145],"controls":[146],"versus":[147,150],"schizophrenia":[148,210],"bipolar":[151,201],"disorder.":[152],"Node-level":[153],"analysis":[154],"identifies":[155],"stable":[157],"set":[158,203],"most":[162],"prominently":[163],"Hes-chl":[164],"gyrus,":[165],"insular":[166],"cortex,":[167],"frontal":[169],"regions,":[170],"act":[172],"hubs":[174],"across":[175,180,187],"multiple":[176],"resamplings.":[181],"These":[182],"centralities":[183],"display":[184],"lower":[185],"variability":[186],"resamplings":[188],"than":[189],"Shapley":[190],"values,":[191],"supporting":[192],"interpretive":[194],"value":[195],"representation.":[199],"emerges":[204],"subset":[207],"one,":[211],"consistent":[212],"hierarchically":[215],"organized":[216],"neuroanatom-ical":[217],"alterations":[218],"reported":[219],"neuroimaging":[221],"studies":[222],"offering":[224],"network-based":[226],"characterization":[227],"this":[229],"hierarchy.":[230]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-08-26T00:00:00"}