{"id":"https://openalex.org/W2581269909","doi":"https://doi.org/10.1109/isit.2017.8006658","title":"A de Bruijn identity for discrete random variables","display_name":"A de Bruijn identity for discrete random variables","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2581269909","doi":"https://doi.org/10.1109/isit.2017.8006658","mag":"2581269909"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.07089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Oliver Johnson","raw_affiliation_strings":["School of Mathematics, University of Bristol, Bristol, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049404285","display_name":"Saikat Guha","orcid":"https://orcid.org/0000-0002-2581-4380"},"institutions":[{"id":"https://openalex.org/I1306686416","display_name":"RTX (United States)","ror":"https://ror.org/0354t7b78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306686416"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saikat Guha","raw_affiliation_strings":["Quantum Information Processing group, Raytheon BBN Technologies, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Quantum Information Processing group, Raytheon BBN Technologies, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306686416"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058220187"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":null,"apc_paid":null,"fwci":0.9716,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7790885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"898","last_page":"902"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9984999895095825,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9948999881744385,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9932000041007996,"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/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.962841272354126},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.6604902148246765},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6533060073852539},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6302593946456909},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5080320835113525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5047630071640015},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.42771977186203003},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4107098877429962},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34776943922042847},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.324973464012146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24933567643165588},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13630586862564087},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08353441953659058},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08008551597595215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06977403163909912}],"concepts":[{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.962841272354126},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.6604902148246765},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6533060073852539},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6302593946456909},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5080320835113525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5047630071640015},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.42771977186203003},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4107098877429962},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34776943922042847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.324973464012146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24933567643165588},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13630586862564087},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08353441953659058},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08008551597595215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06977403163909912},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2017.8006658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1701.07089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.07089","pdf_url":"https://arxiv.org/pdf/1701.07089","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:research-information.bris.ac.uk:openaire/800bce51-253d-48f3-9984-19dee79ea752","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/800bce51-253d-48f3-9984-19dee79ea752","pdf_url":"https://research-information.bris.ac.uk/files/110683351/ISITsubmissionrevised.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Johnson, O & Guha, S 2017, A de Bruijn identity for discrete random variables. in 2017 IEEE International Symposium on Information Theory (ISIT 2017). Institute of Electrical and Electronics Engineers (IEEE), pp. 898-902. https://doi.org/10.1109/ISIT.2017.8006658","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/800bce51-253d-48f3-9984-19dee79ea752","is_oa":false,"landing_page_url":"https://hdl.handle.net/1983/800bce51-253d-48f3-9984-19dee79ea752","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":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.07089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.07089","pdf_url":"https://arxiv.org/pdf/1701.07089","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W599939251","https://openalex.org/W1974349322","https://openalex.org/W1995875735","https://openalex.org/W2027561650","https://openalex.org/W2035364928","https://openalex.org/W2042199312","https://openalex.org/W2043371182","https://openalex.org/W2044442377","https://openalex.org/W2044689504","https://openalex.org/W2051141231","https://openalex.org/W2069071813","https://openalex.org/W2099111195","https://openalex.org/W2102278702","https://openalex.org/W2106246265","https://openalex.org/W2130334134","https://openalex.org/W2137226437","https://openalex.org/W2147311608","https://openalex.org/W2170335255","https://openalex.org/W2398966327","https://openalex.org/W2479760238","https://openalex.org/W2740101920","https://openalex.org/W2993383518","https://openalex.org/W3102092688","https://openalex.org/W3106311672","https://openalex.org/W4238784803","https://openalex.org/W4244575644","https://openalex.org/W4300104526","https://openalex.org/W6721692846"],"related_works":["https://openalex.org/W3198016531","https://openalex.org/W127787461","https://openalex.org/W2039773446","https://openalex.org/W1998517951","https://openalex.org/W2397939707","https://openalex.org/W2126473010","https://openalex.org/W2382005989","https://openalex.org/W2893091540","https://openalex.org/W2558656005","https://openalex.org/W4323318559"],"abstract_inverted_index":{"We":[0,22,36],"discuss":[1],"properties":[2],"of":[3,14,30,47,58],"the":[4,19,28,59],"\u201cbeamsplitter":[5],"addition\u201d":[6],"operation,":[7],"which":[8],"provides":[9],"a":[10,24,41,48],"non-standard":[11],"scaled":[12],"convolution":[13],"random":[15],"variables":[16,60],"supported":[17],"on":[18],"non-negative":[20],"integers.":[21],"give":[23,40],"simple":[25],"expression":[26],"for":[27],"action":[29],"beamsplitter":[31],"addition":[32],"using":[33],"generating":[34],"functions.":[35],"use":[37],"this":[38],"to":[39],"self-contained":[42],"and":[43,51],"purely":[44],"classical":[45],"proof":[46],"heat":[49],"equation":[50],"de":[52],"Bruijn":[53],"identity,":[54],"satisfied":[55],"when":[56],"one":[57],"is":[61],"geometric.":[62]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2020-11-23T00:00:00"}