{"id":"https://openalex.org/W1591717461","doi":"https://doi.org/10.1109/isbi.2015.7163812","title":"Kernel-based classification for brain connectivity graphs on the Riemannian manifold of positive definite matrices","display_name":"Kernel-based classification for brain connectivity graphs on the Riemannian manifold of positive definite matrices","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1591717461","doi":"https://doi.org/10.1109/isbi.2015.7163812","mag":"1591717461"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2015.7163812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2015.7163812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 12th International Symposium on Biomedical Imaging (ISBI)","raw_type":"proceedings-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/A5008835382","display_name":"Luca Dodero","orcid":null},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luca Dodero","raw_affiliation_strings":["Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy","institution_ids":["https://openalex.org/I30771326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007571091","display_name":"H\u00e0 Quang Minh","orcid":"https://orcid.org/0000-0003-3926-8875"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ha Quang Minh","raw_affiliation_strings":["Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy","institution_ids":["https://openalex.org/I30771326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065503067","display_name":"Marco San Biagio","orcid":"https://orcid.org/0000-0002-6155-3878"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco San Biagio","raw_affiliation_strings":["Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy","institution_ids":["https://openalex.org/I30771326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007242502","display_name":"Vittorio Murino","orcid":"https://orcid.org/0000-0002-8645-2328"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vittorio Murino","raw_affiliation_strings":["Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy","institution_ids":["https://openalex.org/I30771326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012525858","display_name":"Diego Sona","orcid":"https://orcid.org/0000-0003-2883-5336"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Diego Sona","raw_affiliation_strings":["NeuroInformatics Laboratory, Fondazione Bruno Kessler, Trento, Italy","Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"NeuroInformatics Laboratory, Fondazione Bruno Kessler, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]},{"raw_affiliation_string":"Pattern Analysis and Computer Vision, Istituto Italiano di Tecnologia, Genova, Italy","institution_ids":["https://openalex.org/I30771326"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008835382"],"corresponding_institution_ids":["https://openalex.org/I30771326"],"apc_list":null,"apc_paid":null,"fwci":1.6129,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.81907956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"42","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10241","display_name":"Functional Brain Connectivity Studies","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9919999837875366,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9855999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6636651158332825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5979816317558289},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5003225803375244},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.49720290303230286},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.47812047600746155},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4749037027359009},{"id":"https://openalex.org/keywords/connectomics","display_name":"Connectomics","score":0.44853997230529785},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.44347378611564636},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4345405101776123},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4343242347240448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42327529191970825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36813944578170776},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.352812796831131},{"id":"https://openalex.org/keywords/functional-connectivity","display_name":"Functional connectivity","score":0.3013020157814026},{"id":"https://openalex.org/keywords/connectome","display_name":"Connectome","score":0.29609978199005127},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.161346435546875},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13583031296730042},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12511122226715088}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6636651158332825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5979816317558289},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5003225803375244},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.49720290303230286},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.47812047600746155},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4749037027359009},{"id":"https://openalex.org/C2779097318","wikidata":"https://www.wikidata.org/wiki/Q2993446","display_name":"Connectomics","level":4,"score":0.44853997230529785},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.44347378611564636},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4345405101776123},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4343242347240448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42327529191970825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36813944578170776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.352812796831131},{"id":"https://openalex.org/C3018011982","wikidata":"https://www.wikidata.org/wiki/Q7316120","display_name":"Functional connectivity","level":2,"score":0.3013020157814026},{"id":"https://openalex.org/C45715564","wikidata":"https://www.wikidata.org/wiki/Q1292103","display_name":"Connectome","level":3,"score":0.29609978199005127},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.161346435546875},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13583031296730042},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12511122226715088},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/isbi.2015.7163812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2015.7163812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 12th International Symposium on Biomedical Imaging (ISBI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1510073064","https://openalex.org/W1598557217","https://openalex.org/W1983496390","https://openalex.org/W1999653836","https://openalex.org/W2039448553","https://openalex.org/W2064727436","https://openalex.org/W2085682890","https://openalex.org/W2089572795","https://openalex.org/W2099095260","https://openalex.org/W2116022929","https://openalex.org/W2126838454","https://openalex.org/W2135071768","https://openalex.org/W2149652297","https://openalex.org/W2150176166","https://openalex.org/W2153635508","https://openalex.org/W2215164165","https://openalex.org/W2268133546","https://openalex.org/W2911738047","https://openalex.org/W3102360731","https://openalex.org/W6635900159","https://openalex.org/W6666933233","https://openalex.org/W6675041395","https://openalex.org/W6693752821","https://openalex.org/W6758327135","https://openalex.org/W6785615522"],"related_works":["https://openalex.org/W2110459882","https://openalex.org/W2615272157","https://openalex.org/W2124135342","https://openalex.org/W4240967820","https://openalex.org/W99541431","https://openalex.org/W4297805928","https://openalex.org/W3003725763","https://openalex.org/W2883171001","https://openalex.org/W2808583987","https://openalex.org/W1515954165"],"abstract_inverted_index":{"An":[0],"important":[1],"task":[2],"in":[3],"connectomics":[4],"studies":[5],"is":[6],"the":[7,41,62,72,83],"classification":[8,42],"of":[9,52,75,85],"connectivity":[10,38],"graphs":[11],"coming":[12],"from":[13],"healthy":[14],"and":[15,30,54,89],"pathological":[16],"subjects.":[17],"In":[18],"this":[19],"paper,":[20],"we":[21],"propose":[22],"a":[23],"mathematical":[24],"framework":[25,88],"based":[26],"on":[27],"Riemannian":[28],"geometry":[29],"kernel":[31],"methods":[32],"that":[33],"can":[34],"be":[35],"applied":[36],"to":[37,60],"matrices":[39],"for":[40,92],"task.":[43],"We":[44],"tested":[45],"our":[46,76,86],"approach":[47,77],"using":[48],"different":[49,58],"real":[50],"datasets":[51],"functional":[53],"structural":[55],"connectivity,":[56],"evaluating":[57],"metrics":[59],"describe":[61],"similarity":[63],"between":[64],"graphs.":[65],"The":[66],"empirical":[67],"results":[68],"obtained":[69],"clearly":[70],"show":[71],"superior":[73],"performance":[74],"compared":[78],"with":[79],"baseline":[80],"methods,":[81],"demonstrating":[82],"advantages":[84],"manifold":[87],"its":[90],"potential":[91],"other":[93],"applications.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
