{"id":"https://openalex.org/W4407296370","doi":"https://doi.org/10.1007/s11063-024-11691-0","title":"LieCConv: An Image Classification Algorithm Based on Lie Group Convolutional Neural Network","display_name":"LieCConv: An Image Classification Algorithm Based on Lie Group Convolutional Neural Network","publication_year":2025,"publication_date":"2025-02-10","ids":{"openalex":"https://openalex.org/W4407296370","doi":"https://doi.org/10.1007/s11063-024-11691-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-024-11691-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11691-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11691-0.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11691-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101946569","display_name":"Yunjie Zhang","orcid":"https://orcid.org/0000-0001-9213-3887"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunjie Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Soochow University, No.333 Ganjiang East Road, Suzhou, 215008, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Soochow University, No.333 Ganjiang East Road, Suzhou, 215008, Jiangsu, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066189295","display_name":"Xizhao Luo","orcid":"https://orcid.org/0000-0002-4294-1365"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xizhao Luo","raw_affiliation_strings":["School of Computer Science and Technology, Soochow University, No.333 Ganjiang East Road, Suzhou, 215008, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Soochow University, No.333 Ganjiang East Road, Suzhou, 215008, Jiangsu, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025832538","display_name":"Chongben Tao","orcid":null},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chongben Tao","raw_affiliation_strings":["School of Electronic and Information Engineering, Suzhou University of Science and Technology, No.99 Xuefu Road, Suzhou, 215009, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Suzhou University of Science and Technology, No.99 Xuefu Road, Suzhou, 215009, Jiangsu, China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101778877","display_name":"Bo Qin","orcid":"https://orcid.org/0000-0001-8104-4512"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Qin","raw_affiliation_strings":["School of Information, Renmin University of China, No.59 Zhongguancun Street, Beijing, 100872, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information, Renmin University of China, No.59 Zhongguancun Street, Beijing, 100872, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025910280","display_name":"Anjia Yang","orcid":"https://orcid.org/0000-0002-7958-6571"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anjia Yang","raw_affiliation_strings":["College of Cyber Security, Jinan University, No.855 East Xingyedadao Avenue, Guangzhou, 511443, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Cyber Security, Jinan University, No.855 East Xingyedadao Avenue, Guangzhou, 511443, Guangdong, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101097720","display_name":"Feng Cao","orcid":"https://orcid.org/0000-0002-6862-7999"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Cao","raw_affiliation_strings":["School of Computer and Information Technology (School of Big Data), Shanxi University, No.92 Wucheng Road, Taiyuan, 030006, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology (School of Big Data), Shanxi University, No.92 Wucheng Road, Taiyuan, 030006, Shanxi, China","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066189295"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.013958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.992900013923645,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.992900013923645,"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/T12702","display_name":"Brain Tumor Detection and Classification","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2808","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9842000007629395,"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/convolutional-neural-network","display_name":"Convolutional neural network","score":0.705304741859436},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6385322213172913},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5582067966461182},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5509143471717834},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.533919632434845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5028862357139587},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43359804153442383},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.102894127368927}],"concepts":[{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.705304741859436},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6385322213172913},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5582067966461182},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5509143471717834},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.533919632434845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5028862357139587},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43359804153442383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.102894127368927},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-024-11691-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11691-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11691-0.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11063-024-11691-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11691-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11691-0.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1867618985","display_name":null,"funder_award_id":"No. 62072291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G200321169","display_name":null,"funder_award_id":"2021ZD0112802","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3616117452","display_name":null,"funder_award_id":"No. 62072215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G389725061","display_name":null,"funder_award_id":"2020B0101090004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4107827205","display_name":null,"funder_award_id":"No. 2021ZD0112802","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4306810514","display_name":null,"funder_award_id":"2020B0101090004","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G480260333","display_name":null,"funder_award_id":"2021ZD0112802","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4940029293","display_name":"\u57fa\u4e8e\u533a\u5757\u94fe\u7684\u5b89\u5168\u6570\u636e\u5171\u4eab\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"62072215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5134485843","display_name":"\u57fa\u4e8e\u591a\u7c92\u5ea6\u8ba1\u7b97\u7684\u9ad8\u5149\u8c31\u9065\u611f\u5f71\u50cf\u5149\u8c31-\u7a7a\u95f4\u5206\u7c7b\u7814\u7a76","funder_award_id":"62072291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5801589591","display_name":"\u7fa4\u4f53\u59d4\u6258\u8ba1\u7b97\u5b89\u5168\u95ee\u9898\u7814\u7a76","funder_award_id":"61972454","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6495845755","display_name":null,"funder_award_id":"62072215","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G675355964","display_name":null,"funder_award_id":"2020B0101360001","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G695094188","display_name":null,"funder_award_id":"2020B0101360001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8436219489","display_name":null,"funder_award_id":"No. 61972454","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"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407296370.pdf","grobid_xml":"https://content.openalex.org/works/W4407296370.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W2479866714","https://openalex.org/W2952241957","https://openalex.org/W3171420264","https://openalex.org/W3183059469","https://openalex.org/W3183966558","https://openalex.org/W3205331957","https://openalex.org/W3213445044","https://openalex.org/W4206204855","https://openalex.org/W4206278092","https://openalex.org/W4214577967","https://openalex.org/W4220922919","https://openalex.org/W4221140104","https://openalex.org/W4225776288","https://openalex.org/W4226334005","https://openalex.org/W4285049337","https://openalex.org/W4293340724","https://openalex.org/W4296557505","https://openalex.org/W4300003565","https://openalex.org/W4308422286","https://openalex.org/W4309631573","https://openalex.org/W4312443924","https://openalex.org/W4312847199","https://openalex.org/W4313420500","https://openalex.org/W4315977429","https://openalex.org/W4318962910","https://openalex.org/W4319166497","https://openalex.org/W4360993864","https://openalex.org/W4380738420","https://openalex.org/W4381054259"],"related_works":["https://openalex.org/W4391621807","https://openalex.org/W4321487865","https://openalex.org/W4313906399","https://openalex.org/W4391621790","https://openalex.org/W4239306820","https://openalex.org/W4391266461","https://openalex.org/W2590798552","https://openalex.org/W2811106690","https://openalex.org/W2947043951","https://openalex.org/W4399188509"],"abstract_inverted_index":{"In":[0,19],"Lie":[1,12,31,56,119,132,190],"group":[2,13,32,57,120,133,191],"convolutional":[3,33],"neural":[4,34],"networks":[5],"(LG-CNNs),":[6],"the":[7,23,76,103,106,125,142,148,163,167,183,199],"calculation":[8,51,114],"and":[9,46,52,115,130,152,175,188,208,215],"storage":[10,53,116],"of":[11,27,94,105,128,166,173,201],"distances":[14,134,192],"have":[15],"quadratic":[16,136],"space":[17,49,126],"complexity.":[18],"order":[20],"to":[21,84,138,193],"improve":[22],"memory":[24,62,143,171,184],"utilization":[25],"efficiency":[26],"LG-CNNs,":[28],"a":[29,47,67,91,112],"novel":[30,68],"network":[35,61],"called":[36,71],"LieCConv":[37,40,65,110,174,181,202,212],"is":[38,213],"proposed.":[39],"utilizes":[41],"an":[42,86],"innovative":[43],"sampling":[44,69,73,155],"algorithm":[45,70],"linear":[48,139],"complexity":[50,127,137],"approach":[54],"for":[55,118,186],"distances,":[58,121],"substantially":[59],"enhancing":[60],"efficiency.":[63],"Firstly,":[64],"employs":[66],"array-neighborhood":[72],"(ANS)":[74],"in":[75],"downsampling":[77],"stage.":[78],"ANS":[79,101,151,160],"only":[80],"requires":[81],"neighborhood":[82],"information":[83],"obtain":[85],"excellent":[87],"sample":[88,97],"set":[89,98],"with":[90],"low":[92],"threshold":[93],"use.":[95],"The":[96,170],"generated":[99],"by":[100],"reflects":[102],"distribution":[104,164],"original":[107,168],"set.":[108],"Then,":[109],"adopts":[111],"batch":[113],"scheme":[117],"which":[122],"effectively":[123],"declines":[124],"calculating":[129,187],"storing":[131,189],"from":[135],"complexity,":[140],"reducing":[141],"consumption":[144],"during":[145],"training.":[146],"Finally,":[147],"contrast":[149],"between":[150],"farthest":[153],"point":[154],"was":[156,177,203],"presented,":[157],"demonstrating":[158],"that":[159,180,211],"better":[161],"captures":[162],"characteristics":[165],"dataset.":[169],"usage":[172,185],"LieConv":[176],"compared,":[178],"revealing":[179],"reduces":[182],"less":[194],"than":[195],"500":[196],"MB.":[197],"And":[198],"performance":[200],"evaluated":[204],"on":[205],"RotMNIST,":[206],"RotFashionMNIST":[207],"TT100K,":[209],"validating":[210],"universal":[214],"effective.":[216]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
