{"id":"https://openalex.org/W4413755061","doi":"https://doi.org/10.1109/tpami.2025.3603601","title":"Hierarchical Spherical CNNs With Lifting-Based Adaptive Wavelets for Pooling and Unpooling","display_name":"Hierarchical Spherical CNNs With Lifting-Based Adaptive Wavelets for Pooling and Unpooling","publication_year":2025,"publication_date":"2025-08-27","ids":{"openalex":"https://openalex.org/W4413755061","doi":"https://doi.org/10.1109/tpami.2025.3603601","pmid":"https://pubmed.ncbi.nlm.nih.gov/40864584"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2025.3603601","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3603601","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/253678","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083589028","display_name":"Mingxing Xu","orcid":"https://orcid.org/0000-0003-2883-1802"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingxing Xu","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100675587","display_name":"Chenglin Li","orcid":"https://orcid.org/0000-0003-2888-594X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenglin Li","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045342512","display_name":"Wenrui Dai","orcid":"https://orcid.org/0000-0003-2522-5778"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenrui Dai","raw_affiliation_strings":["Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066373402","display_name":"Siheng Chen","orcid":"https://orcid.org/0000-0002-9144-0583"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siheng Chen","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016006337","display_name":"Junni Zou","orcid":"https://orcid.org/0000-0002-9694-9880"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junni Zou","raw_affiliation_strings":["Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000947076","display_name":"Pascal Frossard","orcid":"https://orcid.org/0000-0002-4010-714X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pascal Frossard","raw_affiliation_strings":["Signal Processing Laboratory (LTS4), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Lausanne, Switzerland","Signal Processing Laboratory (LTS4), Ecole &#x00B4; Polytechnique F&#x00B4;ed&#x00B4;erale de Lausanne (EPFL), Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory (LTS4), &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Processing Laboratory (LTS4), Ecole &#x00B4; Polytechnique F&#x00B4;ed&#x00B4;erale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002494284","display_name":"Hongkai Xiong","orcid":"https://orcid.org/0000-0003-4552-0029"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongkai Xiong","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5083589028"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":1.2181,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82897797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"48","issue":"1","first_page":"251","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.8784000277519226,"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"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.8784000277519226,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.8776000142097473,"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"}},{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.8605999946594238,"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/artificial-intelligence","display_name":"Artificial intelligence","score":0.6956815719604492},{"id":"https://openalex.org/keywords/pooling","display_name":"Pooling","score":0.6557992100715637},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6458605527877808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6168220043182373},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5849103927612305},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.45974498987197876}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6956815719604492},{"id":"https://openalex.org/C70437156","wikidata":"https://www.wikidata.org/wiki/Q7228652","display_name":"Pooling","level":2,"score":0.6557992100715637},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6458605527877808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6168220043182373},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5849103927612305},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.45974498987197876}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2025.3603601","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3603601","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:40864584","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40864584","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/253678","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/253678","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/253678","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/253678","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"research article"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.699999988079071}],"awards":[{"id":"https://openalex.org/G1080903817","display_name":null,"funder_award_id":"62320106003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1206496187","display_name":null,"funder_award_id":"62401367","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2048617456","display_name":null,"funder_award_id":"62301299","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2895017225","display_name":null,"funder_award_id":"U24A20251","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G376436071","display_name":null,"funder_award_id":"62401357","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6094063813","display_name":null,"funder_award_id":"62125109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6263369104","display_name":null,"funder_award_id":"62431017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6308568386","display_name":null,"funder_award_id":"62401366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7123918047","display_name":null,"funder_award_id":"62120106007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7931220373","display_name":null,"funder_award_id":"62371288","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1533388234","https://openalex.org/W1840106123","https://openalex.org/W1901129140","https://openalex.org/W1920022804","https://openalex.org/W1976579441","https://openalex.org/W2004559848","https://openalex.org/W2012909180","https://openalex.org/W2020919250","https://openalex.org/W2063616966","https://openalex.org/W2072859558","https://openalex.org/W2089618650","https://openalex.org/W2096897625","https://openalex.org/W2106590163","https://openalex.org/W2115579991","https://openalex.org/W2117188745","https://openalex.org/W2117951582","https://openalex.org/W2136463719","https://openalex.org/W2155133180","https://openalex.org/W2160615084","https://openalex.org/W2169997788","https://openalex.org/W2181889564","https://openalex.org/W2461475918","https://openalex.org/W2546302380","https://openalex.org/W2744613561","https://openalex.org/W2796422723","https://openalex.org/W2807732111","https://openalex.org/W2884414611","https://openalex.org/W2895696451","https://openalex.org/W2898187790","https://openalex.org/W2907101105","https://openalex.org/W2907492528","https://openalex.org/W2963881378","https://openalex.org/W2964012402","https://openalex.org/W2984128514","https://openalex.org/W3025199923","https://openalex.org/W3030213312","https://openalex.org/W3035547893","https://openalex.org/W3157246243","https://openalex.org/W3165291530","https://openalex.org/W3170697543","https://openalex.org/W3183913595","https://openalex.org/W3184788311","https://openalex.org/W3199353809","https://openalex.org/W3201136692","https://openalex.org/W4205827254","https://openalex.org/W4302067267"],"related_works":["https://openalex.org/W2772917594","https://openalex.org/W2036807459","https://openalex.org/W2058170566","https://openalex.org/W2755342338","https://openalex.org/W2166024367","https://openalex.org/W3116076068","https://openalex.org/W2229312674","https://openalex.org/W2951359407","https://openalex.org/W2079911747","https://openalex.org/W1969923398"],"abstract_inverted_index":{"Pooling":[0],"and":[1,25,35,85,106,131,144,180,186,195],"unpooling":[2,55,151,196],"are":[3,197],"indispensable":[4],"in":[5,120],"constructing":[6],"hierarchical":[7],"spherical":[8,30,81,92,203],"convolutional":[9],"neural":[10],"networks":[11],"(HS-CNNs).":[12],"Most":[13],"existing":[14],"models":[15],"employ":[16],"simple":[17],"downsampling-based":[18],"pooling,":[19],"which":[20,163],"ignores":[21],"the":[22,52,60,101,110,121,141,155,160,170,183,187,192,212],"sampling":[23],"theorem":[24],"cannot":[26],"adapt":[27],"to":[28,78,98,116,138,154],"different":[29,33,39],"signals":[31,49],"(with":[32],"spectra)":[34],"tasks":[36,210],"(dependent":[37],"on":[38,201],"frequency":[40],"components),":[41],"thus":[42],"suffering":[43],"a":[44,70,95,206],"significant":[45],"information":[46,119,188],"loss.":[47],"Besides,":[48],"reconstructed":[50],"by":[51],"widely-adopted":[53],"padding-based":[54],"may":[56],"also":[57],"change":[58],"unwantedly":[59],"spectra":[61],"of":[62,73,128,169,182,191,209,214],"original":[63,171],"signals.":[64],"To":[65],"address":[66],"these,":[67],"we":[68,90],"propose":[69,149],"novel":[71],"framework":[72],"HS-CNNs":[74],"with":[75,94,109,135],"lifting":[76,96,125],"structures":[77],"learn":[79,91],"adaptive":[80],"wavelets":[82,93,185],"for":[83,113,158,205],"pooling":[84,114,157,194],"unpooling,":[86],"named":[87],"LiftHS-CNNs.":[88,216],"Specifically,":[89],"structure":[97,126],"adaptively":[99],"partition":[100],"input":[102],"signal":[103],"into":[104],"low-":[105],"high-frequency":[107],"sub-bands,":[108],"down-scaled":[111],"representations":[112],"generated":[115],"preserve":[117,166],"more":[118],"low-frequency":[122],"sub-band.":[123],"The":[124],"consists":[127],"learnable":[129],"update":[130],"predict":[132],"operators":[133],"parameterized":[134],"graph":[136],"attention":[137],"jointly":[139],"consider":[140],"signal's":[142],"characteristics":[143,168],"underlying":[145],"geometries.":[146],"We":[147],"then":[148],"an":[150],"operation":[152],"invertible":[153],"lifting-based":[156],"restoring":[159],"up-scaled":[161],"representations,":[162],"can":[164],"well":[165],"spectral":[167],"signal.":[172],"Particular":[173],"properties":[174],"(i.e.,":[175],"spatial":[176],"locality,":[177],"vanishing":[178],"moments,":[179],"stability)":[181],"learned":[184],"preserving":[189],"ability":[190],"proposed":[193],"further":[198],"studied.":[199],"Experiments":[200],"benchmark":[202],"datasets":[204],"wide":[207],"range":[208],"verify":[211],"superiority":[213],"our":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
