{"id":"https://openalex.org/W7126024286","doi":"https://doi.org/10.1007/978-981-95-5696-0_4","title":"GMDMP: Gaussian Mixture Diffusion Model for\u00a0Adversarial Purification","display_name":"GMDMP: Gaussian Mixture Diffusion Model for\u00a0Adversarial Purification","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7126024286","doi":"https://doi.org/10.1007/978-981-95-5696-0_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-95-5696-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-95-5696-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5100665116","display_name":"Yongbo Li","orcid":"https://orcid.org/0000-0002-1696-3798"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongbo Li","raw_affiliation_strings":["School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109746824","display_name":"Wenhua Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenhua Hu","raw_affiliation_strings":["School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011885282","display_name":"Zhijie Feng","orcid":"https://orcid.org/0000-0002-0738-7688"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijie Feng","raw_affiliation_strings":["School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100619574","display_name":"Mengjie Wang","orcid":"https://orcid.org/0000-0002-2943-7164"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengjie Wang","raw_affiliation_strings":["School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5124233602","display_name":"Jianwen Xiang","orcid":null},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianwen Xiang","raw_affiliation_strings":["School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Artificial Intelligence, Engineering Research Center of Transportation Information and Safety (ERCTIS), MoE of China, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5124233602"],"corresponding_institution_ids":["https://openalex.org/I196699116"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.51281078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"47","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9714999794960022,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9714999794960022,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.004900000058114529,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.0020000000949949026,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.6459000110626221},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.642799973487854},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.6215000152587891},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6089000105857849},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6086999773979187},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.5853999853134155},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5687999725341797},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.48649999499320984}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7957000136375427},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6459000110626221},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.642799973487854},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.6215000152587891},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6089000105857849},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6086999773979187},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.5853999853134155},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5687999725341797},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5436999797821045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5257999897003174},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.48649999499320984},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.44600000977516174},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.41679999232292175},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4097000062465668},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.37619999051094055},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3752000033855438},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34130001068115234},{"id":"https://openalex.org/C166550679","wikidata":"https://www.wikidata.org/wiki/Q263400","display_name":"Gaussian network model","level":3,"score":0.31049999594688416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2849000096321106},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.27480000257492065},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2581999897956848},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.2581999897956848},{"id":"https://openalex.org/C55128770","wikidata":"https://www.wikidata.org/wiki/Q5275440","display_name":"Diffusion map","level":4,"score":0.25380000472068787}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-95-5696-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-95-5696-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6207146048545837,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2097117768","https://openalex.org/W2194775991","https://openalex.org/W2963693747","https://openalex.org/W2964137095","https://openalex.org/W3106797537","https://openalex.org/W3191453585","https://openalex.org/W3217116278","https://openalex.org/W4386113300","https://openalex.org/W4399431796","https://openalex.org/W4415797115"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-30T23:21:52.101496","created_date":"2026-01-30T00:00:00"}
