{"id":"https://openalex.org/W2578748356","doi":null,"title":"Stochastic multiresolution persistent homology kernel","display_name":"Stochastic multiresolution persistent homology kernel","publication_year":2016,"publication_date":"2016-07-09","ids":{"openalex":"https://openalex.org/W2578748356","mag":"2578748356"},"language":"en","primary_location":{"id":"mag:2578748356","doi":null,"is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/conf/ijcai/ijcai2016.html#ZhuVBNB16","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null},"volume":null,"type":"conference-paper","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/A5103428074","display_name":"Xiaojin Zhu","orcid":"https://orcid.org/0009-0003-1827-2143","observed_orcids":["https://orcid.org/0009-0003-1827-2143"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaojin Zhu","raw_affiliation_strings":["Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037273848","display_name":"Ara Vartanian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ara Vartanian","raw_affiliation_strings":["Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Manish Bansal","orcid":"https://orcid.org/0000-0002-9904-8826","observed_orcids":["https://orcid.org/0000-0002-9904-8826"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manish Bansal","raw_affiliation_strings":["Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin"],"raw_orcid":"https://orcid.org/0000-0002-9904-8826","affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103123650","display_name":"Duy V. M. Nguyen","orcid":"https://orcid.org/0000-0002-3374-1089","observed_orcids":["https://orcid.org/0000-0002-3374-1089"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Duy Nguyen","raw_affiliation_strings":["Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin"],"raw_orcid":"https://orcid.org/0000-0002-3374-1089","affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075682119","display_name":"Luke Brandl","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luke Brandl","raw_affiliation_strings":["Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Wisconsin-Madison , Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":1.3724,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76027289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2449","last_page":"2455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/persistent-homology","display_name":"persistent homology","score":0.921999990940094},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"topological data analysis","score":0.6570000052452087},{"id":"https://openalex.org/keywords/point-clouds","display_name":"point clouds","score":0.7839999794960022},{"id":"https://openalex.org/keywords/kernel-methods","display_name":"kernel methods","score":0.7300000190734863},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"multiresolution analysis","score":0.7950000166893005},{"id":"https://openalex.org/keywords/clustering","display_name":"clustering","score":0.5709999799728394},{"id":"https://openalex.org/keywords/classification","display_name":"classification","score":0.9359999895095825},{"id":"https://openalex.org/keywords/eye-disease-classification","display_name":"eye disease classification","score":0.9940000176429749},{"id":"https://openalex.org/keywords/human-activity-recognition","display_name":"human activity recognition","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.8991624116897583},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.8021644353866577},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.7073912620544434},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6217934489250183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5354957580566406},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5185518860816956},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5142542719841003},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4998304843902588},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.4924667775630951},{"id":"https://openalex.org/C55851704","wikidata":"https://www.wikidata.org/wiki/Q7623983","display_name":"String kernel","level":5,"score":0.48794692754745483},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4499354362487793},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4136265814304352},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.3784371316432953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33826518058776855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24680238962173462},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17263925075531006},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.1497916579246521},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11249390244483948},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0826890766620636},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2578748356","doi":null,"is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/conf/ijcai/ijcai2016.html#ZhuVBNB16","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence","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":15,"referenced_works":["https://openalex.org/W107886322","https://openalex.org/W1654438081","https://openalex.org/W1842708415","https://openalex.org/W1960384938","https://openalex.org/W1983788811","https://openalex.org/W1991566301","https://openalex.org/W2010203208","https://openalex.org/W2030523990","https://openalex.org/W2113792310","https://openalex.org/W2123504417","https://openalex.org/W2157963336","https://openalex.org/W2184329057","https://openalex.org/W2186601123","https://openalex.org/W2251581759","https://openalex.org/W3015234645"],"related_works":["https://openalex.org/W2054910880","https://openalex.org/W2893726797","https://openalex.org/W1960384938","https://openalex.org/W4417348105","https://openalex.org/W4287906499","https://openalex.org/W4399458283","https://openalex.org/W4399421221","https://openalex.org/W4298494536","https://openalex.org/W2946221986","https://openalex.org/W4310428791"],"abstract_inverted_index":{"We":[0,84],"introduce":[1],"a":[2,14],"new":[3],"topological":[4,60,80],"feature":[5],"representation":[6],"for":[7,88],"point":[8,68],"cloud":[9],"objects.":[10],"Specifically,":[11],"we":[12],"construct":[13],"Stochastic":[15],"Multiresolution":[16],"Persistent":[17],"Homology":[18],"(SMURPH)":[19],"kernel":[20,33,52,72],"which":[21],"represents":[22],"an":[23],"object's":[24],"persistent":[25],"homology":[26],"at":[27,47],"different":[28],"resolutions.":[29,49],"Under":[30],"the":[31,63,70],"SMURPH":[32,71],"two":[34],"objects":[35],"are":[36],"similar":[37,41],"if":[38],"they":[39],"have":[40],"number":[42],"and":[43,58,90,99],"sizes":[44],"of":[45],"hole":[46],"these":[48],"Our":[50],"multiresolution":[51],"can":[53],"capture":[54],"both":[55],"global":[56],"topology":[57],"fine-grained":[59],"texture":[61],"in":[62],"data.":[64],"Importantly,":[65],"on":[66,92],"large":[67],"clouds":[69],"is":[73],"more":[74],"computationally":[75],"tractable":[76],"compared":[77],"to":[78],"existing":[79],"data":[81],"analysis":[82],"methods.":[83],"demonstrate":[85],"SMURPH's":[86],"potential":[87],"clustering":[89],"classification":[91,98],"several":[93],"applications,":[94],"including":[95],"eye":[96],"disease":[97],"human":[100],"activity":[101],"recognition.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-01-26T00:00:00"}
