{"id":"https://openalex.org/W2086909650","doi":"https://doi.org/10.1109/isit.2008.4595471","title":"Thinning and information projections","display_name":"Thinning and information projections","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W2086909650","doi":"https://doi.org/10.1109/isit.2008.4595471","mag":"2086909650"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2008.4595471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","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/A5021606672","display_name":"Peter Harremo\u00ebs","orcid":"https://orcid.org/0000-0002-0441-6690"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Peter Harremoes","raw_affiliation_strings":["Stat. learning, and quant. comp., Centrum voor Wiskunde en Informatica, P.O. 94079, 1090 GB Amsterdam, The Netherlands","Stat. learning & quant. comp., Centrum voor Wiskunde en Inf., Amsterdam"],"affiliations":[{"raw_affiliation_string":"Stat. learning, and quant. comp., Centrum voor Wiskunde en Informatica, P.O. 94079, 1090 GB Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Stat. learning & quant. comp., Centrum voor Wiskunde en Inf., Amsterdam","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058220187","display_name":"Oliver Johnson","orcid":"https://orcid.org/0000-0002-3645-6670"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Oliver Johnson","raw_affiliation_strings":["Dept. Mathematics, University of Bristol, BS8 1TW, United Kingdom","School of Mathematics"],"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, University of Bristol, BS8 1TW, United Kingdom","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"School of Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044225058","display_name":"Ioannis Kontoyiannis","orcid":"https://orcid.org/0000-0001-7242-6375"},"institutions":[{"id":"https://openalex.org/I73142707","display_name":"Athens University of Economics and Business","ror":"https://ror.org/03s262162","country_code":"GR","type":"education","lineage":["https://openalex.org/I73142707"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Ioannis Kontoyiannis","raw_affiliation_strings":["Athens University of Econ. and Business, Patission 76, 10434, Greece","Athens University of Economics and Business, Patission 76, 10434., Greece"],"affiliations":[{"raw_affiliation_string":"Athens University of Econ. and Business, Patission 76, 10434, Greece","institution_ids":["https://openalex.org/I73142707"]},{"raw_affiliation_string":"Athens University of Economics and Business, Patission 76, 10434., Greece","institution_ids":["https://openalex.org/I73142707"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021606672"],"corresponding_institution_ids":["https://openalex.org/I1341640284"],"apc_list":null,"apc_paid":null,"fwci":2.0343,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86901702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"2644","last_page":"2648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9976999759674072,"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":0.9976999759674072,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/poisson-distribution","display_name":"Poisson distribution","score":0.7926205396652222},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7457768321037292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.679456889629364},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6194807291030884},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5769505500793457},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5339165329933167},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.5201680660247803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5106421113014221},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.48585960268974304},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48300492763519287},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.48229244351387024},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.44261014461517334},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44022154808044434},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.41683584451675415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.331207811832428},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30560725927352905},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20437586307525635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16209641098976135},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.12030923366546631},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06542140245437622}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7926205396652222},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7457768321037292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.679456889629364},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6194807291030884},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5769505500793457},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5339165329933167},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.5201680660247803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5106421113014221},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.48585960268974304},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48300492763519287},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.48229244351387024},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.44261014461517334},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44022154808044434},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.41683584451675415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.331207811832428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30560725927352905},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20437586307525635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16209641098976135},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.12030923366546631},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06542140245437622},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2008.4595471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/5fd1551d-760a-4876-a738-fe56e8272517","is_oa":false,"landing_page_url":"http://arxiv.org/abs/1601.04255","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/9f31c790-085d-49e0-a06a-288d97a4cfbe","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/9f31c790-085d-49e0-a06a-288d97a4cfbe","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Harremoes, P, Johnson, O T & Kontoyiannis, I 2008, Thinning and information projections. in 2008 IEEE International Symposium on Information Theory Proceedings : Proceedings of a meeting held 6-11 July 2008, Toronto, Ontario, Canada. Institute of Electrical and Electronics Engineers (IEEE), pp. 2644-2648. https://doi.org/10.1109/ISIT.2008.4595471","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1974903997","https://openalex.org/W2023891941","https://openalex.org/W2042199312","https://openalex.org/W2076353312","https://openalex.org/W2091371391","https://openalex.org/W2122224676","https://openalex.org/W2130334134","https://openalex.org/W2146094904","https://openalex.org/W2149306165","https://openalex.org/W2157661235","https://openalex.org/W2798655805","https://openalex.org/W3106311672","https://openalex.org/W3127518054"],"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":{"The":[0],"law":[1,79],"of":[2,39,53,75,80,85],"thin":[3,81],"numbers":[4],"is":[5,98],"a":[6,28,32,104],"Poisson":[7,33,90],"approximation":[8],"theorem":[9],"related":[10,88,94,108],"to":[11,19,31,62,89,95,102,109],"the":[12,24,37,54,73,78,110],"thinning":[13],"operation.":[14],"We":[15],"use":[16],"information":[17,25,45,67],"projections":[18,40],"derive":[20,63],"lower":[21,64,70],"bounds":[22,65,71],"on":[23,66,72],"divergence":[26,68],"from":[27],"thinned":[29],"distribution":[30],"distribution.":[34],"Conditions":[35],"for":[36],"existence":[38],"are":[41,60],"given.":[42],"If":[43],"an":[44,51],"projection":[46],"exists":[47],"it":[48],"must":[49],"be":[50],"element":[52],"associated":[55],"exponential":[56],"family.":[57],"Exponential":[58],"families":[59],"used":[61,101],"and":[69,100],"rate":[74],"convergence":[76],"in":[77],"numbers.":[82],"A":[83],"method":[84],"translating":[86],"results":[87,93],"distributions":[91,97],"into":[92],"Gaussian":[96],"developed":[99],"prove":[103],"new":[105],"non-trivial":[106],"result":[107],"central":[111],"limit":[112],"theorem.":[113]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}