{"id":"https://openalex.org/W2137369528","doi":null,"title":"Multiclass learning on graphs: Diffuse interface models and beyond","display_name":"Multiclass learning on graphs: Diffuse interface models and beyond","publication_year":2013,"publication_date":"2013-09-05","ids":{"openalex":"https://openalex.org/W2137369528","mag":"2137369528"},"language":"en","primary_location":{"id":"pmh:oai:scholarworks.calstate.edu:10211.10/5194","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10211.10/5194","pdf_url":null,"source":{"id":"https://openalex.org/S7407064448","display_name":"California State University ScholarWorks (system-wide DSpace)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"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/A5086975677","display_name":"Cristina Garc\u00eda\u2013Cardona","orcid":"https://orcid.org/0000-0002-5641-3491","observed_orcids":["https://orcid.org/0000-0002-5641-3491"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cristina Garcia\u2010Cardona","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5641-3491","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5086975677"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.6592000126838684,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.6592000126838684,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.13349999487400055,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.03779999911785126,"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/diffuse-interface-model","display_name":"diffuse interface model","score":0.8399999737739563},{"id":"https://openalex.org/keywords/vector-field-representation","display_name":"vector field representation","score":0.7599999904632568},{"id":"https://openalex.org/keywords/normalized-laplacian-matrix","display_name":"normalized Laplacian","score":0.8289999961853027},{"id":"https://openalex.org/keywords/eigenvector-centrality","display_name":"eigenvector centrality","score":0.9869999885559082},{"id":"https://openalex.org/keywords/community-detection","display_name":"community detection","score":0.8240000009536743},{"id":"https://openalex.org/keywords/social-networks","display_name":"social networks","score":0.8339999914169312},{"id":"https://openalex.org/keywords/feature-selection","display_name":"feature selection","score":0.7210000157356262},{"id":"https://openalex.org/keywords/graph-construction","display_name":"graph construction","score":0.5210000276565552}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5960028767585754},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.559943437576294},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4797559976577759},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.3562318682670593},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.3256007432937622},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:scholarworks.calstate.edu:10211.10/5194","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10211.10/5194","pdf_url":null,"source":{"id":"https://openalex.org/S7407064448","display_name":"California State University ScholarWorks (system-wide DSpace)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"},{"id":"mag:2137369528","doi":null,"is_oa":false,"landing_page_url":"http://scholarworks.calstate.edu/handle/10211.10/5194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W8870360","https://openalex.org/W240764945","https://openalex.org/W589626636","https://openalex.org/W1530637460","https://openalex.org/W1532325895","https://openalex.org/W1578099820","https://openalex.org/W1676820704","https://openalex.org/W1862777171","https://openalex.org/W1961988472","https://openalex.org/W1973728860","https://openalex.org/W1978394996","https://openalex.org/W1991113069","https://openalex.org/W1998920956","https://openalex.org/W2006554089","https://openalex.org/W2042226984","https://openalex.org/W2045756072","https://openalex.org/W2050769472","https://openalex.org/W2057463094","https://openalex.org/W2069715551","https://openalex.org/W2077119805","https://openalex.org/W2103559027","https://openalex.org/W2104290444","https://openalex.org/W2111557120","https://openalex.org/W2112796928","https://openalex.org/W2114694099","https://openalex.org/W2117035551","https://openalex.org/W2121947440","https://openalex.org/W2132218491","https://openalex.org/W2132914434","https://openalex.org/W2133026689","https://openalex.org/W2133626129","https://openalex.org/W2134767644","https://openalex.org/W2134987394","https://openalex.org/W2136922672","https://openalex.org/W2136935487","https://openalex.org/W2137441266","https://openalex.org/W2137965886","https://openalex.org/W2140408177","https://openalex.org/W2146377359","https://openalex.org/W2150134853","https://openalex.org/W2151417892","https://openalex.org/W2152322845","https://openalex.org/W2154003061","https://openalex.org/W2154455818","https://openalex.org/W2159737176","https://openalex.org/W2161336914","https://openalex.org/W2166765763","https://openalex.org/W2167044614","https://openalex.org/W2169600004","https://openalex.org/W2172029033","https://openalex.org/W2316369803","https://openalex.org/W2383504818"],"related_works":["https://openalex.org/W7133210531","https://openalex.org/W2399610487","https://openalex.org/W6983017534","https://openalex.org/W7196994020","https://openalex.org/W4300431006","https://openalex.org/W7057662841","https://openalex.org/W2637478157","https://openalex.org/W1573289994","https://openalex.org/W7196928876","https://openalex.org/W6986508860"],"abstract_inverted_index":{"We":[0,109,249,303,373,407],"propose":[1],"generalizations":[2],"of":[3,15,46,54,83,89,106,145,158,168,183,186,207,213,230,244,253,299,331,368,379,403],"a":[4,32,44,100,117,124,181,193,311,318,323],"binary":[5,20],"diffuse":[6,21,160],"interface":[7,22,161],"model":[8,23],"for":[9,364],"graph":[10,38,71,91,324,366,384,396],"segmentation":[11,367],"to":[12,31,42,102,137,198,219,317,327,339,353],"the":[13,25,70,76,87,90,96,104,128,133,139,143,146,155,159,166,169,177,190,202,211,214,228,232,238,242,251,254,277,284,290,297,328,332,377,400,404],"case":[14],"multiple":[16],"classes.":[17],"The":[18,37,224,267,335],"original":[19],"adapts":[24],"Ginzburg-Landau":[26],"(GL)":[27],"continuum":[28],"energy":[29,98,135,178],"functional":[30,136,286],"semi-supervised":[33],"setup":[34],"on":[35,93,116,123,296,301,322,399],"graphs.":[36,302],"structure":[39],"is":[40,196,315,337],"used":[41,348],"encode":[43],"measure":[45,182],"similarity":[47],"between":[48],"data":[49,56,107,222,260],"points.":[50],"A":[51],"small":[52],"sample":[53],"labeled":[55],"points":[57],"(semi-supervised)":[58],"serves":[59],"as":[60,81,261,263,360],"seeds":[61],"from":[62],"which":[63],"label":[64,187],"information":[65],"can":[66,78],"be":[67,79],"propagated":[68],"throughout":[69],"structure.":[72],"In":[73,127,163,189],"this":[74,164,307],"way,":[75,165],"problem":[77],"posed":[80],"one":[82,114],"function":[84],"estimation":[85],"over":[86],"nodes":[88,341],"(learning":[92],"graphs)":[94],"with":[95,180,276],"GL":[97,134,239,285],"providing":[99],"framework":[101],"evaluate":[103],"quality":[105],"segmentation.":[108],"develop":[110],"two":[111,255],"multiclass":[112,170,256,414],"generalizations,":[113],"based":[115,122,295,398],"scalar":[118,129],"representation":[119,226],"and":[120,382],"other":[121],"vector-field":[125,191,225],"representation.":[126],"version,":[130],"we":[131,288,393],"modify":[132],"remove":[138],"prejudicial":[140],"effect":[141],"that":[142,205,220,271,305,342,409],"order":[144],"labelings,":[147],"given":[148],"by":[149,375],"integer":[150],"values,":[151],"could":[152],"have":[153],"in":[154,201,237,258,279,349,370,386,410],"smoothing":[156],"term":[157,234],"model.":[162],"characteristics":[167],"classification":[171],"task":[172],"are":[173,274,343],"incorporated":[174],"directly":[175],"into":[176],"functional,":[179,240],"smoothness":[184],"independent":[185],"order.":[188],"representation,":[192],"vector-valued":[194],"quantity":[195],"assigned":[197],"every":[199],"node":[200],"graph,":[203],"such":[204],"each":[206],"its":[208,358],"components":[209],"represents":[210],"fraction":[212],"phase,":[215],"or":[216],"class,":[217],"attributed":[218],"particular":[221],"point.":[223],"has":[227],"advantage":[229],"leaving":[231],"Laplacian":[233,321],"almost":[235],"unmodified":[236],"enabling":[241],"use":[243,359],"efficient":[245],"numerical":[246],"minimization":[247],"schemes.":[248],"compare":[250],"performance":[252],"formulations":[257],"synthetic":[259],"well":[262],"real":[264,387],"benchmark":[265],"sets.":[266],"experimental":[268],"results":[269],"demonstrate":[270,408],"both":[272],"methods":[273,415],"competitive":[275],"state-of-the-art":[278],"graph-based":[280],"algorithms.":[281],"Moving":[282],"beyond":[283],"framework,":[287],"explore":[289],"replicator":[291,405],"operator,":[292],"an":[293,361],"approach":[294],"dynamics":[298],"epidemics":[300],"show":[304],"although":[306],"linear":[308],"operator":[309,336],"models":[310],"non-diffusive":[312],"process,":[313],"it":[314],"equivalent":[316],"symmetric":[319],"normalized":[320],"reweighted":[325],"according":[326],"eigenvector":[329],"centrality":[330],"adjacency":[333],"matrix.":[334],"able":[338],"identify":[340],"more":[344],"influential":[345],"and,":[346],"when":[347],"clustering":[350],"applications,":[351,412],"tends":[352],"preserve":[354],"cliques.":[355],"This":[356],"motivates":[357],"alternative":[362],"method":[363],"unsupervised":[365],"communities":[369],"social":[371],"networks.":[372],"conclude":[374],"exploring":[376],"role":[378],"feature":[380],"selection":[381],"appropriate":[383],"representations":[385],"applications.":[388],"For":[389],"community":[390],"detection":[391],"problems,":[392],"probe":[394],"different":[395],"constructions":[397],"reweighting":[401],"scheme":[402],"operator.":[406],"these":[411],"our":[413],"yield":[416],"promising":[417],"results.":[418]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2016-06-24T00:00:00"}
