{"id":"https://openalex.org/W4401692796","doi":"https://doi.org/10.1109/isit57864.2024.10619367","title":"Properties of the Strong Data Processing Constant for R\u00e9nyi Divergence","display_name":"Properties of the Strong Data Processing Constant for R\u00e9nyi Divergence","publication_year":2024,"publication_date":"2024-07-07","ids":{"openalex":"https://openalex.org/W4401692796","doi":"https://doi.org/10.1109/isit57864.2024.10619367"},"language":"en","primary_location":{"id":"doi:10.1109/isit57864.2024.10619367","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619367","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","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/A5100312944","display_name":"Lifu Jin","orcid":null},"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":"Lifu Jin","raw_affiliation_strings":["EPFL,Lausanne,Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL,Lausanne,Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079071639","display_name":"Amedeo Roberto Esposito","orcid":"https://orcid.org/0000-0002-9478-9852"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Amedeo Roberto Esposito","raw_affiliation_strings":["Institute of Science and Technology Austria (ISTA),Klosterneuburg,Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria (ISTA),Klosterneuburg,Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"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,Lausanne,Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL,Lausanne,Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100312944"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12964301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3178","last_page":"3183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9666000008583069,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9666000008583069,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9599000215530396,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9352999925613403,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6167891025543213},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5666265487670898},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4541262686252594},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.080097496509552}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6167891025543213},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5666265487670898},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4541262686252594},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.080097496509552},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit57864.2024.10619367","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619367","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W631645519","https://openalex.org/W1590505944","https://openalex.org/W1981380156","https://openalex.org/W2003776291","https://openalex.org/W2026653933","https://openalex.org/W2081231767","https://openalex.org/W2131940723","https://openalex.org/W2290247654","https://openalex.org/W2963423396","https://openalex.org/W3102159535","https://openalex.org/W4212774754","https://openalex.org/W4213173876","https://openalex.org/W4234934824","https://openalex.org/W4386047778"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382290278","https://openalex.org/W4395014643"],"abstract_inverted_index":{"Strong":[0],"data":[1],"processing":[2],"inequalities":[3],"(SDPI)":[4],"are":[5],"an":[6],"important":[7],"object":[8],"of":[9,42,67,89,112,125,146],"study":[10,52],"in":[11,95],"Information":[12],"Theory":[13],"and":[14,25,45,55,137],"have":[15,28],"been":[16,29],"well":[17],"studied":[18],"for":[19,143],"<tex":[20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$f$</tex>-divergences.":[22],"Universal":[23],"upper":[24,80],"lower":[26,106],"bounds":[27],"provided":[30],"along":[31],"with":[32],"several":[33],"applications,":[34],"connecting":[35],"them":[36],"to":[37,63,86,135],"impossibility":[38],"(converse)":[39],"results,":[40],"concentration":[41],"measure,":[43],"hypercontractivity,":[44],"so":[46],"on.":[47],"In":[48,70,97],"this":[49,98],"paper,":[50],"we":[51,100,120],"Renyi":[53,144],"divergence":[54,115,145],"the":[56,78,87,104,109,113,126,130,140,147],"corresponding":[57],"SDPI":[58,84,110,141],"constant":[59,85,111,142],"whose":[60],"behavior":[61],"seems":[62],"deviate":[64],"from":[65],"that":[66,77,103,128],"ordinary":[68],"<1>-divergences.":[69],"particular,":[71],"one":[72,88],"can":[73],"find":[74],"examples":[75],"showing":[76],"universal":[79,105],"bound":[81,107],"relating":[82],"its":[83],"Total":[90],"Variation":[91],"does":[92,116],"not":[93],"hold":[94],"general.":[96],"work,":[99],"prove,":[101],"however,":[102],"involving":[108],"Chi-square":[114],"indeed":[117],"hold.":[118],"Furthermore,":[119],"also":[121],"provide":[122],"a":[123],"characterization":[124],"distribution":[127],"achieves":[129],"supremum":[131],"when":[132],"is":[133],"equal":[134],"2":[136],"consequently":[138],"compute":[139],"general":[148],"binary":[149],"channel.":[150]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
