{"id":"https://openalex.org/W4391021351","doi":"https://doi.org/10.1109/cdc49753.2023.10383700","title":"Tight Certified Robustness via Min-Max Representations of ReLU Neural Networks","display_name":"Tight Certified Robustness via Min-Max Representations of ReLU Neural Networks","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391021351","doi":"https://doi.org/10.1109/cdc49753.2023.10383700"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","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/A5062099905","display_name":"Brendon G. Anderson","orcid":"https://orcid.org/0000-0001-7239-158X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brendon G. Anderson","raw_affiliation_strings":["University of California,Berkeley","University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064420456","display_name":"Samuel Pfrommer","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samuel Pfrommer","raw_affiliation_strings":["University of California,Berkeley","University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072786751","display_name":"Somayeh Sojoudi","orcid":"https://orcid.org/0000-0001-7177-7712"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Somayeh Sojoudi","raw_affiliation_strings":["University of California,Berkeley","University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3263,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67496725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"6348","last_page":"6355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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":0.9998999834060669,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9829000234603882,"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/robustness","display_name":"Robustness (evolution)","score":0.8004946708679199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6430208683013916},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6042312979698181},{"id":"https://openalex.org/keywords/certification","display_name":"Certification","score":0.4155704081058502},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40662312507629395},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14343944191932678}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8004946708679199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6430208683013916},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6042312979698181},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.4155704081058502},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40662312507629395},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14343944191932678},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W301378022","https://openalex.org/W312852472","https://openalex.org/W1583851666","https://openalex.org/W2000752850","https://openalex.org/W2004483800","https://openalex.org/W2098398123","https://openalex.org/W2118266259","https://openalex.org/W2158581396","https://openalex.org/W2342840547","https://openalex.org/W2443711627","https://openalex.org/W2492489565","https://openalex.org/W2594877703","https://openalex.org/W2798302089","https://openalex.org/W2804900738","https://openalex.org/W2891698621","https://openalex.org/W2905423756","https://openalex.org/W2963074136","https://openalex.org/W2963857521","https://openalex.org/W2982800384","https://openalex.org/W3009655978","https://openalex.org/W3044582844","https://openalex.org/W3088153346","https://openalex.org/W3104471247","https://openalex.org/W3117881175","https://openalex.org/W3120220828","https://openalex.org/W3212827451","https://openalex.org/W4240987324","https://openalex.org/W4241368925","https://openalex.org/W4250589301","https://openalex.org/W4285203271","https://openalex.org/W4285335792","https://openalex.org/W4289306490","https://openalex.org/W4293846201","https://openalex.org/W4299843966","https://openalex.org/W4317466250","https://openalex.org/W4319323067","https://openalex.org/W4319451607","https://openalex.org/W6634899561","https://openalex.org/W6704559304","https://openalex.org/W6729999211","https://openalex.org/W6750745550","https://openalex.org/W6751356287","https://openalex.org/W6751834733","https://openalex.org/W6754543342","https://openalex.org/W6754646375","https://openalex.org/W6763711611","https://openalex.org/W6765694979","https://openalex.org/W6765807149","https://openalex.org/W6767178219","https://openalex.org/W6774192314","https://openalex.org/W6783032289","https://openalex.org/W6804343242","https://openalex.org/W6849459013","https://openalex.org/W6849719443"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2066052364","https://openalex.org/W2023743128","https://openalex.org/W4243365217","https://openalex.org/W2224296908","https://openalex.org/W3109981693","https://openalex.org/W2381980429","https://openalex.org/W2384206113","https://openalex.org/W645983410"],"abstract_inverted_index":{"The":[0],"reliable":[1],"deployment":[2],"of":[3,28,37,74,132],"neural":[4,30],"networks":[5,31],"in":[6,59],"control":[7,123],"systems":[8],"requires":[9,112],"rigorous":[10],"robustness":[11,19],"guarantees.":[12],"In":[13],"this":[14],"paper,":[15],"we":[16],"obtain":[17],"tight":[18],"certificates":[20],"over":[21,53],"convex":[22,35],"attack":[23],"sets":[24],"for":[25,65,104],"min-max":[26],"representations":[27],"ReLU":[29],"by":[32,45,81],"developing":[33],"a":[34,93],"reformulation":[36],"the":[38,47,75,82,99,130],"nonconvex":[39,77],"certification":[40],"problem.":[41],"This":[42,106],"is":[43],"done":[44],"\u201clifting\u201d":[46],"problem":[48,78],"to":[49,63],"an":[50,66],"infinite-dimensional":[51],"optimization":[52,62],"probability":[54],"measures,":[55],"leveraging":[56],"recent":[57],"results":[58],"distributionally":[60],"robust":[61,122],"solve":[64],"optimal":[67,95],"discrete":[68,83],"distribution,":[69],"and":[70,89,124],"proving":[71],"that":[72,110],"solutions":[73],"original":[76],"are":[79],"generated":[80],"distribution":[84],"under":[85],"mild":[86],"boundedness,":[87],"nonredundancy,":[88],"Slater":[90],"conditions.":[91],"As":[92],"consequence,":[94],"(worst-case)":[96],"attacks":[97],"against":[98],"model":[100],"may":[101],"be":[102],"solved":[103],"exactly.":[105],"contrasts":[107],"prior":[108],"state-of-the-art":[109],"either":[111],"expensive":[113],"branch-and-bound":[114],"schemes":[115],"or":[116],"loose":[117],"relaxation":[118],"techniques.":[119],"Experiments":[120],"on":[121],"MNIST":[125],"image":[126],"classification":[127],"examples":[128],"highlight":[129],"benefits":[131],"our":[133],"approach.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
