{"id":"https://openalex.org/W2980749854","doi":"https://doi.org/10.3390/e21101022","title":"On Data-Processing and Majorization Inequalities for f-Divergences with Applications","display_name":"On Data-Processing and Majorization Inequalities for f-Divergences with Applications","publication_year":2019,"publication_date":"2019-10-21","ids":{"openalex":"https://openalex.org/W2980749854","doi":"https://doi.org/10.3390/e21101022","mag":"2980749854"},"language":"en","primary_location":{"id":"doi:10.3390/e21101022","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21101022","pdf_url":"https://www.mdpi.com/1099-4300/21/10/1022/pdf?version=1571727347","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/10/1022/pdf?version=1571727347","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Igal Sason","orcid":"https://orcid.org/0000-0001-5681-1273"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Igal Sason","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa 3200003, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa 3200003, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.3265,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81501927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"10","first_page":"1022","last_page":"1022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9399999976158142,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9399999976158142,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11269","display_name":"Algorithms and Data Compression","score":0.0066999997943639755,"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/T11130","display_name":"Coding theory and cryptography","score":0.006300000008195639,"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/majorization","display_name":"Majorization","score":0.8269000053405762},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.517799973487854},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4828000068664551},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.45570001006126404},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.4077000021934509},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.40389999747276306},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3596000075340271}],"concepts":[{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.8269000053405762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6905999779701233},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.517799973487854},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4828000068664551},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47380000352859497},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4147999882698059},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.4077000021934509},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.40389999747276306},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35409998893737793},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3465999960899353},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.3273000121116638},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.3183000087738037},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.2939999997615814},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.26750001311302185}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e21101022","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21101022","pdf_url":"https://www.mdpi.com/1099-4300/21/10/1022/pdf?version=1571727347","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1911.02436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.02436","pdf_url":"https://arxiv.org/pdf/1911.02436","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:13104f5116de45a7a9f0ecd667033a98","is_oa":true,"landing_page_url":"https://doaj.org/article/13104f5116de45a7a9f0ecd667033a98","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 21, Iss 10, p 1022 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/10/1022/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21101022","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514244","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514244","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21101022","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21101022","pdf_url":"https://www.mdpi.com/1099-4300/21/10/1022/pdf?version=1571727347","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980749854.pdf","grobid_xml":"https://content.openalex.org/works/W2980749854.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W152055444","https://openalex.org/W594028571","https://openalex.org/W1278605765","https://openalex.org/W1631312317","https://openalex.org/W1973071586","https://openalex.org/W1983874169","https://openalex.org/W2000015806","https://openalex.org/W2003776291","https://openalex.org/W2014031743","https://openalex.org/W2026653933","https://openalex.org/W2031648200","https://openalex.org/W2032916024","https://openalex.org/W2033468335","https://openalex.org/W2043279542","https://openalex.org/W2051657238","https://openalex.org/W2059956682","https://openalex.org/W2062460000","https://openalex.org/W2068728923","https://openalex.org/W2081231767","https://openalex.org/W2099946769","https://openalex.org/W2101210333","https://openalex.org/W2109227390","https://openalex.org/W2112939491","https://openalex.org/W2121036196","https://openalex.org/W2127768309","https://openalex.org/W2129774678","https://openalex.org/W2131940723","https://openalex.org/W2139292011","https://openalex.org/W2143899172","https://openalex.org/W2150070703","https://openalex.org/W2154321579","https://openalex.org/W2165783665","https://openalex.org/W2166944917","https://openalex.org/W2290247654","https://openalex.org/W2296510033","https://openalex.org/W2518143623","https://openalex.org/W2524481422","https://openalex.org/W2580225501","https://openalex.org/W2797753119","https://openalex.org/W2809740448","https://openalex.org/W2920831797","https://openalex.org/W2962719046","https://openalex.org/W2963157613","https://openalex.org/W2963423396","https://openalex.org/W2963484654","https://openalex.org/W2963898870","https://openalex.org/W2964157181","https://openalex.org/W4242750211","https://openalex.org/W4247591450","https://openalex.org/W4255333822","https://openalex.org/W4292058084","https://openalex.org/W4302366875","https://openalex.org/W6605430415","https://openalex.org/W6620537803","https://openalex.org/W6676297045","https://openalex.org/W6864952907"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,93,148],"focused":[3],"on":[4,71],"the":[5,23,26,28,40,55,72,99,109,134,146,151,155],"derivation":[6],"of":[7,25,39,58,98,101,111,122,137,158],"data-processing":[8],"and":[9,14,20,48,83,88,140],"majorization":[10],"inequalities":[11],"for":[12,129],"f-divergences,":[13],"their":[15,131],"applications":[16],"in":[17,79],"information":[18],"theory":[19],"statistics.":[21],"For":[22],"accessibility":[24],"material,":[27],"main":[29],"results":[30],"are":[31,77,86,126],"first":[32],"introduced":[33],"without":[34],"proofs,":[35],"followed":[36],"by":[37,108,115],"exemplifications":[38],"theorems":[41],"with":[42,61],"further":[43,127],"related":[44,94],"analytical":[45],"results,":[46],"interpretations,":[47],"information-theoretic":[49],"applications.":[50],"One":[51],"application":[52,92],"refers":[53],"to":[54,95,133,150],"performance":[56],"analysis":[57,147],"list":[59,66,73],"decoding":[60,74],"either":[62],"fixed":[63],"or":[64],"variable":[65],"sizes;":[67],"some":[68],"earlier":[69],"bounds":[70,85],"error":[75],"probability":[76,104],"reproduced":[78],"a":[80,96,103,112,138],"unified":[81],"way,":[82],"new":[84],"obtained":[87],"exemplified":[89],"numerically.":[90],"Another":[91],"study":[97],"quality":[100],"approximating":[102],"mass":[105],"function,":[106],"induced":[107],"leaves":[110],"Tunstall":[113,124],"tree,":[114],"an":[116],"equiprobable":[117],"distribution.":[118],"The":[119],"compression":[120],"rates":[121],"finite-length":[123],"codes":[125],"analyzed":[128],"asserting":[130],"closeness":[132],"Shannon":[135],"entropy":[136],"memoryless":[139],"stationary":[141],"discrete":[142],"source.":[143],"Almost":[144],"all":[145],"relegated":[149],"appendices,":[152],"which":[153],"form":[154],"major":[156],"part":[157],"this":[159],"manuscript.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":8}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-10-25T00:00:00"}
