{"id":"https://openalex.org/W4385627017","doi":"https://doi.org/10.1109/tit.2023.3303221","title":"The Many Faces of Adversarial Risk: An Expanded Study","display_name":"The Many Faces of Adversarial Risk: An Expanded Study","publication_year":2023,"publication_date":"2023-08-07","ids":{"openalex":"https://openalex.org/W4385627017","doi":"https://doi.org/10.1109/tit.2023.3303221"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3303221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3303221","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Information Theory","raw_type":"journal-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/A5069711409","display_name":"Muni Sreenivas Pydi","orcid":"https://orcid.org/0000-0003-0311-150X"},"institutions":[{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Muni Sreenivas Pydi","raw_affiliation_strings":["LAMSADE Research Center, Université Paris Dauphine-PSL, Paris, France"],"raw_orcid":"https://orcid.org/0000-0003-0311-150X","affiliations":[{"raw_affiliation_string":"LAMSADE Research Center, Université Paris Dauphine-PSL, Paris, France","institution_ids":["https://openalex.org/I56435720"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021502006","display_name":"Varun Jog","orcid":"https://orcid.org/0000-0003-4159-0900"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Varun Jog","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.5162,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72060051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"70","issue":"1","first_page":"550","last_page":"570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.8647000193595886,"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":0.8647000193595886,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.79339998960495,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11059","display_name":"Market Dynamics and Volatility","score":0.7861999869346619,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.6129840612411499},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5836828947067261},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5217631459236145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4921364188194275},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4620223939418793},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.452333927154541},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44349920749664307},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.404574990272522},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3996700048446655},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39702165126800537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32272857427597046},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.27374404668807983}],"concepts":[{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.6129840612411499},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5836828947067261},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5217631459236145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4921364188194275},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4620223939418793},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.452333927154541},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44349920749664307},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.404574990272522},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3996700048446655},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39702165126800537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32272857427597046},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.27374404668807983},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"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":1,"locations":[{"id":"doi:10.1109/tit.2023.3303221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3303221","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G7919732041","display_name":"EAGER: Developing a Theory for Function Optimization on Graphs Using Local Information","funder_award_id":"1841190","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8519814234","display_name":"CIF: Small: Bridging the Inequality Gap","funder_award_id":"1907786","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320273","display_name":"University of Cambridge","ror":"https://ror.org/013meh722"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W816599406","https://openalex.org/W1529558080","https://openalex.org/W1585160083","https://openalex.org/W1602822304","https://openalex.org/W1967474913","https://openalex.org/W1973415384","https://openalex.org/W2010161926","https://openalex.org/W2028712970","https://openalex.org/W2033810643","https://openalex.org/W2040104067","https://openalex.org/W2070589948","https://openalex.org/W2070827717","https://openalex.org/W2269778407","https://openalex.org/W2345010043","https://openalex.org/W2479004360","https://openalex.org/W2778624544","https://openalex.org/W2903938540","https://openalex.org/W2963353335","https://openalex.org/W2963857521","https://openalex.org/W2964045791","https://openalex.org/W2964082701","https://openalex.org/W2964286239","https://openalex.org/W2981207549","https://openalex.org/W2986674980","https://openalex.org/W2994185499","https://openalex.org/W3021182036","https://openalex.org/W3034802054","https://openalex.org/W3112288498","https://openalex.org/W3176590421","https://openalex.org/W3185055925","https://openalex.org/W3195828361","https://openalex.org/W3199096328","https://openalex.org/W3211862222","https://openalex.org/W4213174622","https://openalex.org/W4213251304","https://openalex.org/W4242750451","https://openalex.org/W4253577938","https://openalex.org/W4287592203","https://openalex.org/W4287756103","https://openalex.org/W4293846201","https://openalex.org/W6637162671","https://openalex.org/W6640425456","https://openalex.org/W6745454490","https://openalex.org/W6747536865","https://openalex.org/W6755470953","https://openalex.org/W6755574775","https://openalex.org/W6755817764","https://openalex.org/W6756245880","https://openalex.org/W6756790665","https://openalex.org/W6758684365","https://openalex.org/W6762235582","https://openalex.org/W6767458029","https://openalex.org/W6767692553","https://openalex.org/W6771329936","https://openalex.org/W6771405557","https://openalex.org/W6774348459","https://openalex.org/W6775174904","https://openalex.org/W6780628154","https://openalex.org/W6786144268","https://openalex.org/W6786257182","https://openalex.org/W6790875542","https://openalex.org/W6803962344"],"related_works":["https://openalex.org/W2502115930","https://openalex.org/W4246396837","https://openalex.org/W2482350142","https://openalex.org/W3176240006","https://openalex.org/W3126451824","https://openalex.org/W1561927205","https://openalex.org/W3191453585","https://openalex.org/W2343819364","https://openalex.org/W2133205540","https://openalex.org/W2046798682"],"abstract_inverted_index":{"Adversarial":[0],"risk":[1,118],"quantifies":[2],"the":[3,23,27,64,70,98,106,110,113,120],"performance":[4],"of":[5,13,100,127],"classifiers":[6],"on":[7],"adversarially":[8],"perturbed":[9],"data.":[10],"Numerous":[11],"definitions":[12],"adversarial":[14,78,87,117,147],"risk\u2014not":[15],"all":[16],"mathematically":[17],"rigorous":[18],"and":[19,40,45,58,89,112,115,138,146,149,156],"differing":[20],"subtly":[21],"in":[22,26,105],"details\u2014have":[24],"appeared":[25],"literature.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32],"revisit":[33],"these":[34],"definitions,":[35],"fix":[36],"measure":[37],"theoretic":[38],"issues,":[39],"critically":[41],"examine":[42],"their":[43],"similarities":[44],"differences.":[46],"Our":[47,61,135],"technical":[48],"tools":[49],"derive":[50],"from":[51],"optimal":[52,72,144],"transport,":[53],"robust":[54,90],"statistics,":[55],"functional":[56],"analysis,":[57],"game":[59,108,157],"theory.":[60,158],"contributions":[62],"include":[63],"following:":[65],"generalizing":[66],"Strassen\u2019s":[67],"theorem":[68],"to":[69,77,130,153],"unbalanced":[71],"transport":[73,145],"setting":[74],"with":[75,80],"applications":[76],"classification":[79],"unequal":[81],"priors;":[82],"showing":[83],"an":[84],"equivalence":[85],"between":[86,109,124,143],"robustness":[88,148],"hypothesis":[91],"testing":[92],"with$\\infty":[93],"$-Wasserstein":[94,132],"uncertainty":[95,133],"sets;":[96],"proving":[97],"existence":[99],"a":[101,125],"pure":[102],"Nash":[103],"equilibrium":[104],"two-player":[107],"adversary":[111],"algorithm;":[114],"characterizing":[116],"by":[119],"minimum":[121],"Bayes":[122],"error":[123],"pair":[126],"distributions":[128],"belonging":[129],"the$\\infty":[131],"sets.":[134],"results":[136],"generalize":[137],"deepen":[139],"recently":[140],"discovered":[141],"connections":[142,152],"reveal":[150],"new":[151],"Choquet":[154],"capacities":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}