{"id":"https://openalex.org/W2977187675","doi":"https://doi.org/10.1137/18m1218157","title":"Recovering Hidden Components in Multimodal Data with Composite Diffusion Operators","display_name":"Recovering Hidden Components in Multimodal Data with Composite Diffusion Operators","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2977187675","doi":"https://doi.org/10.1137/18m1218157","mag":"2977187675"},"language":"en","primary_location":{"id":"doi:10.1137/18m1218157","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1218157","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1218157","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1218157","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037804871","display_name":"Tal Shnitzer","orcid":"https://orcid.org/0000-0001-9058-1870"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tal Shnitzer","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9058-1870","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085454645","display_name":"Mirela Ben\u2010Chen","orcid":"https://orcid.org/0000-0002-1732-2327"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mirela Ben-Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065368881","display_name":"Leonidas Guibas","orcid":"https://orcid.org/0000-0002-8315-4886"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonidas Guibas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020330914","display_name":"Ronen Talmon","orcid":"https://orcid.org/0000-0002-6838-1423"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ronen Talmon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049698434","display_name":"Hau\u2010Tieng Wu","orcid":"https://orcid.org/0000-0002-0253-3156"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hau-Tieng Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0041,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92196725,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"1","issue":"3","first_page":"588","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11309","display_name":"Music and Audio Processing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11309","display_name":"Music and Audio Processing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10860","display_name":"Speech and Audio Processing","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/modality","display_name":"Modality (human\u2013computer interaction)","score":0.698482096195221},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6901696920394897},{"id":"https://openalex.org/keywords/modalities","display_name":"Modalities","score":0.6477936506271362},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6022966504096985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5996955633163452},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.5258170366287231},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40382927656173706},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.336913526058197},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3343769609928131},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.09771639108657837},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07056456804275513}],"concepts":[{"id":"https://openalex.org/C2780226545","wikidata":"https://www.wikidata.org/wiki/Q6888030","display_name":"Modality (human\u2013computer interaction)","level":2,"score":0.698482096195221},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6901696920394897},{"id":"https://openalex.org/C2779903281","wikidata":"https://www.wikidata.org/wiki/Q6888026","display_name":"Modalities","level":2,"score":0.6477936506271362},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6022966504096985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5996955633163452},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.5258170366287231},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40382927656173706},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.336913526058197},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3343769609928131},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.09771639108657837},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07056456804275513},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1218157","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1218157","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1218157","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:5175109","is_oa":true,"landing_page_url":"https://zenodo.org/record/5175109","pdf_url":"https://zenodo.org/record/5175109","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1137/18m1218157","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1218157","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1218157","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2221627937","display_name":null,"funder_award_id":"1490/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2442928252","display_name":null,"funder_award_id":"802735 DIFFOP","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G809513542","display_name":null,"funder_award_id":"714776 OPREP","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8616003008","display_name":null,"funder_award_id":"504/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2977187675.pdf"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1523385540","https://openalex.org/W1539811621","https://openalex.org/W1672619609","https://openalex.org/W1958997774","https://openalex.org/W1961621860","https://openalex.org/W1967479046","https://openalex.org/W1971553366","https://openalex.org/W1981784948","https://openalex.org/W1988147465","https://openalex.org/W2001158952","https://openalex.org/W2003447360","https://openalex.org/W2009228073","https://openalex.org/W2025341678","https://openalex.org/W2048967839","https://openalex.org/W2092394402","https://openalex.org/W2097308346","https://openalex.org/W2101324110","https://openalex.org/W2108759471","https://openalex.org/W2111967078","https://openalex.org/W2117684310","https://openalex.org/W2128978199","https://openalex.org/W2129111551","https://openalex.org/W2130055251","https://openalex.org/W2133247229","https://openalex.org/W2136294701","https://openalex.org/W2143668817","https://openalex.org/W2166843080","https://openalex.org/W2179941082","https://openalex.org/W2268723675","https://openalex.org/W2337770506","https://openalex.org/W2460760569","https://openalex.org/W2514213613","https://openalex.org/W2528596067","https://openalex.org/W2541678333","https://openalex.org/W2586823735","https://openalex.org/W2951465770","https://openalex.org/W2962915809","https://openalex.org/W2963129137","https://openalex.org/W2963954124","https://openalex.org/W2964197745","https://openalex.org/W3098574429","https://openalex.org/W3099927762","https://openalex.org/W3102561256","https://openalex.org/W3102766356","https://openalex.org/W3103521248","https://openalex.org/W3122996080","https://openalex.org/W4213367101","https://openalex.org/W4236087597"],"related_works":["https://openalex.org/W73545470","https://openalex.org/W4224266612","https://openalex.org/W2383394264","https://openalex.org/W4320153225","https://openalex.org/W4293261942","https://openalex.org/W3125968744","https://openalex.org/W2167701463","https://openalex.org/W2110287964","https://openalex.org/W4307407935","https://openalex.org/W649759291"],"abstract_inverted_index":{"Finding":[0],"appropriate":[1],"low-dimensional":[2,91],"representations":[3,92],"of":[4,78,116],"high-dimensional":[5],"multimodal":[6,79],"data":[7,31,80],"can":[8,93],"be":[9,94],"challenging,":[10],"since":[11],"each":[12,33],"modality":[13,34],"embodies":[14],"unique":[15],"deformations":[16],"and":[17,73,104,125],"interferences.":[18],"In":[19,42],"this":[20,43],"paper,":[21],"we":[22],"address":[23],"the":[24,30,45,50,53,75,101,105,108,111,117],"problem":[25],"using":[26],"manifold":[27],"learning,":[28],"where":[29],"from":[32],"is":[35,47],"assumed":[36],"to":[37,48,70],"lie":[38],"on":[39,86,122,126],"some":[40],"manifold.":[41],"context,":[44],"goal":[46],"characterize":[49,100],"relations":[51],"between":[52,107],"different":[54,112],"modalities":[55],"by":[56],"studying":[57],"their":[58],"underlying":[59,110],"manifolds.":[60],"We":[61],"propose":[62],"two":[63],"new":[64,88],"diffusion":[65],"operators":[66,119],"that":[67],"allow":[68],"us":[69],"isolate,":[71],"enhance,":[72],"attenuate":[74],"hidden":[76],"components":[77],"in":[81],"a":[82,127],"data-driven":[83],"manner.":[84],"Based":[85],"these":[87],"operators,":[89],"efficient":[90],"constructed":[95],"for":[96],"such":[97],"data,":[98],"which":[99],"common":[102],"structures":[103],"differences":[106],"manifolds":[109],"modalities.":[113],"The":[114],"capabilities":[115],"proposed":[118],"are":[120],"demonstrated":[121],"3D":[123],"shapes":[124],"fetal":[128],"heart":[129],"rate":[130],"monitoring":[131],"application.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
