{"id":"https://openalex.org/W2607795551","doi":"https://doi.org/10.1109/icpr.2016.7900247","title":"Maximal level estimation and unbalance reduction for graph signal downsampling","display_name":"Maximal level estimation and unbalance reduction for graph signal downsampling","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2607795551","doi":"https://doi.org/10.1109/icpr.2016.7900247","mag":"2607795551"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2016.7900247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2016.7900247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 23rd International Conference on Pattern Recognition (ICPR)","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/A5023764423","display_name":"Xianwei Zheng","orcid":"https://orcid.org/0000-0002-7045-0803"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Xianwei Zheng","raw_affiliation_strings":["Faculty of Science and Technology University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085140523","display_name":"Yuan Yan Tang","orcid":"https://orcid.org/0000-0002-6887-130X"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yuan Yan Tang","raw_affiliation_strings":["Faculty of Science and Technology University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037979193","display_name":"Jiantao Zhou","orcid":"https://orcid.org/0000-0002-6015-2618"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Jiantao Zhou","raw_affiliation_strings":["Faculty of Science and Technology University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064872913","display_name":"Patrick Wang","orcid":"https://orcid.org/0000-0003-3117-8189"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick Wang","raw_affiliation_strings":["Northeastern University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023764423"],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1279511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3922","last_page":"3926"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9883999824523926,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upsampling","display_name":"Upsampling","score":0.9912633895874023},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5952765941619873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5794724225997925},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.565457820892334},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5222050547599792},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4292936325073242},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41316381096839905},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29484134912490845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2914016842842102},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28785890340805054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10464346408843994},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.09796521067619324}],"concepts":[{"id":"https://openalex.org/C110384440","wikidata":"https://www.wikidata.org/wiki/Q1143270","display_name":"Upsampling","level":3,"score":0.9912633895874023},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5952765941619873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5794724225997925},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.565457820892334},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5222050547599792},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4292936325073242},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41316381096839905},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29484134912490845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2914016842842102},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28785890340805054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10464346408843994},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.09796521067619324},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr.2016.7900247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2016.7900247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 23rd International Conference on Pattern Recognition (ICPR)","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":12,"referenced_works":["https://openalex.org/W1501565421","https://openalex.org/W1988856158","https://openalex.org/W1990488619","https://openalex.org/W1991252559","https://openalex.org/W2004559848","https://openalex.org/W2011100624","https://openalex.org/W2018804864","https://openalex.org/W2024496749","https://openalex.org/W2101491865","https://openalex.org/W2151103935","https://openalex.org/W2158787690","https://openalex.org/W2161763921"],"related_works":["https://openalex.org/W2062399876","https://openalex.org/W2607795551","https://openalex.org/W3155117723","https://openalex.org/W1991429770","https://openalex.org/W1983892167","https://openalex.org/W2281134365","https://openalex.org/W4310746709","https://openalex.org/W4385574037","https://openalex.org/W4386075645","https://openalex.org/W4306309518"],"abstract_inverted_index":{"The":[0,31,69,169],"emerging":[1],"field":[2],"of":[3,11,42,49,139,142],"graph":[4,15,29,147],"signal":[5,24,148],"processing":[6,25],"requires":[7],"a":[8,119,146,166],"solid":[9],"design":[10],"downsampling":[12,33,53,76,131],"operation":[13],"for":[14,56],"signals":[16,57],"to":[17,94,108,122,151,164],"extend":[18],"pattern":[19],"recognition,":[20],"machine":[21],"learning":[22],"and":[23,128,174],"techniques":[26],"into":[27],"the":[28,38,43,47,74,82,88,101,105,125,130,140,157,179],"setting.":[30],"state-of-the-art":[32],"method":[34,121,134],"is":[35,98,149],"constructed":[36],"upon":[37],"maximum":[39,158],"spanning":[40,159],"trees":[41],"graphs.":[44],"However,":[45],"under":[46],"framework":[48],"this":[50,115],"method,":[51],"unbalanced":[52,143],"often":[54],"occurs":[55],"defined":[58],"on":[59,172],"densely":[60],"connected":[61],"unweighted":[62],"graphs,":[63],"such":[64],"as":[65],"social":[66],"network":[67],"data.":[68],"unbalance":[70,106,155],"also":[71,135],"significantly":[72],"reduces":[73],"maximal":[75,89,126],"level,":[77],"making":[78],"it":[79,97,112],"smaller":[80],"than":[81,100],"level":[83,90,127],"we":[84,117],"expect.":[85],"In":[86,114],"applications,":[87],"must":[91],"be":[92,109,152,162],"estimated":[93],"ensure":[95],"that":[96],"larger":[99],"expected":[102],"level;":[103],"meanwhile,":[104],"has":[107],"reduced,":[110],"if":[111],"occurs.":[113],"paper,":[116],"propose":[118],"novel":[120],"jointly":[123],"estimate":[124],"reduce":[129],"unbalance.":[132],"This":[133],"offers":[136],"an":[137],"estimation":[138],"possibility":[141],"downsampling.":[144,168],"If":[145],"classified":[150],"with":[153],"high":[154],"possibility,":[156],"tree":[160],"will":[161],"updated":[163],"generate":[165],"balanced":[167],"simulation":[170],"results":[171],"synthesis":[173],"real":[175],"world":[176],"data":[177],"support":[178],"theoretical":[180],"analysis.":[181]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}