{"id":"https://openalex.org/W2923015260","doi":"https://doi.org/10.1145/3281275","title":"Capacity Upper Bounds for Deletion-type Channels","display_name":"Capacity Upper Bounds for Deletion-type Channels","publication_year":2019,"publication_date":"2019-03-19","ids":{"openalex":"https://openalex.org/W2923015260","doi":"https://doi.org/10.1145/3281275","mag":"2923015260"},"language":"en","primary_location":{"id":"doi:10.1145/3281275","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3281275","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3281275","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3281275","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002790246","display_name":"Mahdi Cheraghchi","orcid":"https://orcid.org/0000-0001-8957-0306"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Mahdi Cheraghchi","raw_affiliation_strings":["Imperial College London, London, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0001-8957-0306","affiliations":[{"raw_affiliation_string":"Imperial College London, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002790246"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":1.16,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.7772067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"66","issue":"2","first_page":"1","last_page":"79"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12149","display_name":"Nanocluster Synthesis and Applications","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7307115793228149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6340420246124268},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5614653825759888},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5459207892417908},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5378415584564209},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5031041502952576},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4831530451774597},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47424712777137756},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4725998044013977},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4459286630153656},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4193158745765686},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4113891124725342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22348231077194214},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17249584197998047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10560324788093567},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0840391218662262}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7307115793228149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6340420246124268},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5614653825759888},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5459207892417908},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5378415584564209},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5031041502952576},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4831530451774597},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47424712777137756},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4725998044013977},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4459286630153656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4193158745765686},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4113891124725342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22348231077194214},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17249584197998047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10560324788093567},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0840391218662262},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3281275","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3281275","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3281275","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/64985","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/64985","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"17","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1145/3281275","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3281275","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3281275","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2923015260.pdf","grobid_xml":"https://content.openalex.org/works/W2923015260.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1525114838","https://openalex.org/W1814887977","https://openalex.org/W1819446836","https://openalex.org/W1968257603","https://openalex.org/W1987127255","https://openalex.org/W1992506348","https://openalex.org/W2003115626","https://openalex.org/W2029448413","https://openalex.org/W2034381439","https://openalex.org/W2071061952","https://openalex.org/W2083926350","https://openalex.org/W2101549738","https://openalex.org/W2103188198","https://openalex.org/W2113301493","https://openalex.org/W2117365084","https://openalex.org/W2119486537","https://openalex.org/W2121189333","https://openalex.org/W2125870772","https://openalex.org/W2129927675","https://openalex.org/W2140017953","https://openalex.org/W2140129757","https://openalex.org/W2146813141","https://openalex.org/W2150177999","https://openalex.org/W2153531485","https://openalex.org/W2155549573","https://openalex.org/W2167890515","https://openalex.org/W2167949116","https://openalex.org/W2254512934","https://openalex.org/W2333320475","https://openalex.org/W2480800399","https://openalex.org/W2597388719","https://openalex.org/W2607899764","https://openalex.org/W2751518651","https://openalex.org/W2767293093","https://openalex.org/W2788257106","https://openalex.org/W2801179766","https://openalex.org/W2807976831","https://openalex.org/W2949355319","https://openalex.org/W2962713359","https://openalex.org/W2963044831","https://openalex.org/W2963377488","https://openalex.org/W3102214320","https://openalex.org/W3140484331","https://openalex.org/W4213214442","https://openalex.org/W4285719527","https://openalex.org/W4302366875","https://openalex.org/W4389615664","https://openalex.org/W6677025580"],"related_works":["https://openalex.org/W1488915263","https://openalex.org/W2077799587","https://openalex.org/W2392243736","https://openalex.org/W86652014","https://openalex.org/W2081706695","https://openalex.org/W2138098899","https://openalex.org/W2328518092","https://openalex.org/W3101249758","https://openalex.org/W4389486468","https://openalex.org/W2743400891"],"abstract_inverted_index":{"We":[0,256,313],"develop":[1],"a":[2,100,108,305,340],"systematic":[3],"approach,":[4],"based":[5],"on":[6,16,54,130,319],"convex":[7],"programming":[8],"and":[9,31,50,74,84,103,125,250,278,282,298,334,355],"real":[10,337],"analysis":[11],"for":[12,68,193,212,234,265,370,372],"obtaining":[13],"upper":[14,66,96,136,232,263,317,327,346],"bounds":[15,67,97,137,264,318,328],"the":[17,20,35,44,79,91,120,126,131,135,141,145,171,177,200,223,228,240,258,266,279,287,295,309,320,323],"capacity":[18,65,95,175,201,231,262,321],"of":[19,82,93,123,134,144,160,176,237,261,301,308,322,331,352],"binary":[21,178],"deletion":[22,37,73,179,182,280,296,310,324],"channel":[23,46,180,277,281,289,297],"and,":[24,197],"more":[25,365],"generally,":[26],"channels":[27,76],"with":[28,181],"i.i.d.":[29],"insertions":[30],"deletions.":[32],"Other":[33],"than":[34,294],"classical":[36],"channel,":[38],"we":[39,169,345],"give":[40],"special":[41,80,357],"attention":[42],"to":[43,63,78,98,119,304],"Poisson-repeat":[45,75,267,288],"introduced":[47],"by":[48],"Mitzenmacher":[49],"Drinea":[51],"(IEEE":[52],"Transactions":[53],"Information":[55],"Theory,":[56],"2006).":[57],"Our":[58,87,269],"framework":[59],"can":[60,361],"be":[61,300,362],"applied":[62],"obtain":[64],"any":[69,235],"repetition":[70],"distribution":[71,122],"(the":[72],"corresponding":[77,112],"cases":[81],"Bernoulli":[83],"Poisson":[85],"distributions).":[86],"techniques":[88],"essentially":[89],"reduce":[90],"task":[92],"proving":[94],"maximizing":[99],"univariate,":[101],"real-valued,":[102],"often":[104],"concave":[105],"function":[106,114,146,202],"over":[107,339],"bounded":[109,341],"interval.":[110],"The":[111,174],"univariate":[113,336],"is":[115,185,203,205,222,227,247,290],"carefully":[116],"designed":[117],"according":[118],"underlying":[121],"repetitions,":[124],"choices":[127],"vary":[128],"depending":[129],"desired":[132,142],"strength":[133],"as":[138,140],"well":[139],"simplicity":[143],"(e.g.,":[147],"being":[148],"only":[149],"efficiently":[150,332,366],"computable":[151],"versus":[152],"having":[153],"an":[154],"explicit":[155,249,353],"closed-form":[156],"expression":[157],"in":[158,350],"terms":[159,351],"elementary,":[161],"or":[162],"common":[163],"special,":[164],"functions).":[165],"Among":[166],"our":[167],"results,":[168],"show":[170],"following:":[172],"(1)":[173],"probability":[183],"d":[184,190,194,210,213,238,243,373],"at":[186,206],"most":[187,207],"(1":[188,219],"\u2212":[189,209],")":[191],"\u03c6":[192,217],"\u2265":[195],"1/2":[196],"assuming":[198],"that":[199,246,286],"convex,":[204],"1":[208],"log(4/\u03c6)":[211],"<":[214],"1/2,":[215],"where":[216],"=":[218,374],"+":[220],"\u221a5)/2":[221],"golden":[224],"ratio.":[225],"This":[226],"first":[229,259],"nontrivial":[230],"bound":[233,347],"value":[236],"outside":[239],"limiting":[241],"case":[242],"\u2192":[244],"0":[245],"fully":[248],"proved":[251],"without":[252],"computer":[253],"assistance.":[254],"(2)":[255],"derive":[257,314],"set":[260],"channel.":[268,311,325],"results":[270],"uncover":[271],"further":[272],"striking":[273],"connections":[274],"between":[275],"this":[276],"suggest,":[283],"somewhat":[284],"counter-intuitively,":[285],"actually":[291],"analytically":[292],"simpler":[293],"may":[299],"key":[302],"importance":[303],"complete":[306],"understanding":[307],"(3)":[312],"several":[315],"novel":[316],"All":[326],"are":[329],"maximums":[330,360],"computable,":[333],"concave,":[335],"functions":[338,349],"domain.":[342],"In":[343],"turn,":[344],"these":[348],"elementary":[354],"standard":[356],"functions,":[358],"whose":[359],"found":[363],"even":[364],"(and":[367],"sometimes":[368],"analytically,":[369],"example,":[371],"1/2).":[375]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2019-04-01T00:00:00"}