{"id":"https://openalex.org/W3187944710","doi":"https://doi.org/10.24963/ijcai.2021/301","title":"Efficient Neural Network Verification via Layer-based Semidefinite Relaxations and Linear Cuts","display_name":"Efficient Neural Network Verification via Layer-based Semidefinite Relaxations and Linear Cuts","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3187944710","doi":"https://doi.org/10.24963/ijcai.2021/301","mag":"3187944710"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2021/301","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/301","pdf_url":"https://www.ijcai.org/proceedings/2021/0301.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2021/0301.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086728535","display_name":"Ben Batten","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ben Batten","raw_affiliation_strings":["Department of Computing, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033325572","display_name":"Panagiotis Kouvaros","orcid":"https://orcid.org/0000-0003-2697-0710"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Panagiotis Kouvaros","raw_affiliation_strings":["Department of Computing, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015045050","display_name":"Alessio Lomuscio","orcid":"https://orcid.org/0000-0003-3420-723X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessio Lomuscio","raw_affiliation_strings":["Department of Computing, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042517380","display_name":"Yang Zheng","orcid":"https://orcid.org/0000-0003-1545-231X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yang Zheng","raw_affiliation_strings":["Department of Computing, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086728535"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":2.3797,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.90581012,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2184","last_page":"2190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":1.0,"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":1.0,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9843999743461609,"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.983299970626831,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.746888279914856},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6938958168029785},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.641645610332489},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.564773678779602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5366837978363037},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.457253634929657},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4564712941646576},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4112025499343872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37748464941978455},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1796225905418396}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.746888279914856},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6938958168029785},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.641645610332489},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.564773678779602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5366837978363037},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.457253634929657},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4564712941646576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4112025499343872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37748464941978455},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1796225905418396},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.24963/ijcai.2021/301","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/301","pdf_url":"https://www.ijcai.org/proceedings/2021/0301.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/89706","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/89706","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence (IJAC 2021)","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2021/301","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/301","pdf_url":"https://www.ijcai.org/proceedings/2021/0301.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4215626907","display_name":null,"funder_award_id":"FA8750-18-C-009","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320320005","display_name":"Royal Academy of Engineering","ror":"https://ror.org/0526snb40"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3187944710.pdf","grobid_xml":"https://content.openalex.org/works/W3187944710.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1945616565","https://openalex.org/W2071143636","https://openalex.org/W2105880662","https://openalex.org/W2536620281","https://openalex.org/W2594877703","https://openalex.org/W2721006554","https://openalex.org/W2789524546","https://openalex.org/W2807040120","https://openalex.org/W2890472662","https://openalex.org/W2900153411","https://openalex.org/W2917875722","https://openalex.org/W2950029838","https://openalex.org/W2957311447","https://openalex.org/W2963054787","https://openalex.org/W2963440492","https://openalex.org/W2963496101","https://openalex.org/W2968427464","https://openalex.org/W2991226929","https://openalex.org/W3022023007","https://openalex.org/W3038078229","https://openalex.org/W3090972680","https://openalex.org/W3100916622","https://openalex.org/W3117881175","https://openalex.org/W4287635361","https://openalex.org/W4287670326","https://openalex.org/W4289306490","https://openalex.org/W4292070118","https://openalex.org/W4294349862","https://openalex.org/W4297799217"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W4246352526","https://openalex.org/W2121910908","https://openalex.org/W1983756092","https://openalex.org/W915438175"],"abstract_inverted_index":{"We":[0,31],"introduce":[1],"an":[2],"efficient":[3,35],"and":[4,28],"tight":[5],"layer-based":[6],"semidefinite":[7,26,40],"relaxation":[8,86,95],"for":[9],"verifying":[10],"local":[11],"robustness":[12],"of":[13,22,68,80,101],"neural":[14],"networks.":[15],"The":[16,88],"improved":[17],"tightness":[18],"is":[19,58,98],"the":[20,23,39,54,73,78,93],"result":[21],"combination":[24],"between":[25],"relaxations":[27],"linear":[29],"cuts.":[30],"obtain":[32],"a":[33,66],"computationally":[34],"method":[36],"by":[37],"decomposing":[38],"formulation":[41,55],"into":[42],"layerwise":[43],"constraints.":[44],"By":[45],"leveraging":[46],"on":[47,65],"chordal":[48],"graph":[49],"decompositions,":[50],"we":[51],"show":[52,71],"that":[53,72,92],"here":[56,75,96],"presented":[57],"provably":[59],"tighter":[60],"than":[61,104],"current":[62],"approaches.":[63],"Experiments":[64],"set":[67],"benchmark":[69],"networks":[70],"approach":[74],"proposed":[76,97],"enables":[77],"verification":[79],"more":[81],"instances":[82],"compared":[83],"to":[84],"other":[85],"methods.":[87,107],"results":[89],"also":[90],"demonstrate":[91],"SDP":[94,106],"one":[99],"order":[100],"magnitude":[102],"faster":[103],"previous":[105]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}