{"id":"https://openalex.org/W4289655190","doi":"https://doi.org/10.1109/isit50566.2022.9834354","title":"From Generalisation Error to Transportation-cost Inequalities and Back","display_name":"From Generalisation Error to Transportation-cost Inequalities and Back","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655190","doi":"https://doi.org/10.1109/isit50566.2022.9834354"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834354","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/298768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079071639","display_name":"Amedeo Roberto Esposito","orcid":"https://orcid.org/0000-0002-9478-9852"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Amedeo Roberto Esposito","raw_affiliation_strings":["EPFL,School of Computer and Communication Sciences,Lausanne,Switzerland","School of Computer and Communication Sciences, EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL,School of Computer and Communication Sciences,Lausanne,Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"School of Computer and Communication Sciences, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063528341","display_name":"Michael Gastpar","orcid":"https://orcid.org/0000-0002-5499-5336"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Michael Gastpar","raw_affiliation_strings":["EPFL,School of Computer and Communication Sciences,Lausanne,Switzerland","School of Computer and Communication Sciences, EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL,School of Computer and Communication Sciences,Lausanne,Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"School of Computer and Communication Sciences, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079071639"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.6233,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67156863,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"294","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9977999925613403,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9977999925613403,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9914000034332275,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.827195405960083},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.754696249961853},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5887646675109863},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5880946516990662},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.50514155626297},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5016803741455078},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.4970145523548126},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4746839702129364},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4507486820220947},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44817766547203064},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.44313040375709534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42246532440185547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34039783477783203},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28373080492019653},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16497090458869934},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1304854452610016},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10459563136100769}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.827195405960083},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.754696249961853},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5887646675109863},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5880946516990662},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.50514155626297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5016803741455078},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.4970145523548126},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4746839702129364},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4507486820220947},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44817766547203064},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.44313040375709534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42246532440185547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34039783477783203},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28373080492019653},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16497090458869934},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1304854452610016},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10459563136100769},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit50566.2022.9834354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834354","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:298768","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/298768","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:298768","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/298768","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1948771644","https://openalex.org/W2045535845","https://openalex.org/W2120669019","https://openalex.org/W2258658829","https://openalex.org/W2617539226","https://openalex.org/W2910572885","https://openalex.org/W2910589063","https://openalex.org/W2962702650","https://openalex.org/W2976533594","https://openalex.org/W2976699797","https://openalex.org/W3100231902","https://openalex.org/W3170524081","https://openalex.org/W4210869902","https://openalex.org/W4245577611","https://openalex.org/W4293583552","https://openalex.org/W4300167521","https://openalex.org/W6677813420","https://openalex.org/W6692563690","https://openalex.org/W6738074204","https://openalex.org/W6748601875","https://openalex.org/W6772932235"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W1520875569","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":{"In":[0,39],"this":[1],"work,":[2],"we":[3,23,41],"connect":[4],"the":[5,9,17,49,66],"problem":[6],"of":[7,54,79],"bounding":[8],"expected":[10],"generalisation":[11,89],"error":[12,90],"with":[13,77],"transportation-cost":[14,75],"inequalities.":[15],"Exposing":[16],"underlying":[18],"pattern":[19],"behind":[20],"both":[21],"approaches":[22],"are":[24,42],"able":[25,43],"to":[26,44,85,96],"generalise":[27],"them":[28],"and":[29,36,59,71,95],"go":[30],"beyond":[31],"Kullback-":[32],"Leibler":[33],"Divergences/Mutual":[34],"Information":[35],"sub-Gaussian":[37],"measures.":[38,62,106],"particular,":[40],"provide":[45],"a":[46],"result":[47,64],"showing":[48],"equivalence":[50],"between":[51],"two":[52],"families":[53],"inequalities:":[55],"one":[56,60,67],"involving":[57,61,92],"functionals":[58],"This":[63],"generalises":[65],"proposed":[68],"by":[69],"Bobkov":[70],"G\u00f6tze":[72],"that":[73,102],"connects":[74],"inequalities":[76],"concentration":[78],"measure.":[80],"Moreover,":[81],"it":[82],"allows":[83],"us":[84],"recover":[86],"all":[87],"standard":[88],"bounds":[91],"mutual":[93],"information":[94],"introduce":[97],"new,":[98],"more":[99],"general":[100],"bounds,":[101],"involve":[103],"arbitrary":[104],"divergence":[105]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}