{"id":"https://openalex.org/W3216480613","doi":"https://doi.org/10.1109/itw48936.2021.9611405","title":"Rate-Distortion Problems of the Poisson Process: a Group-Theoretic Approach","display_name":"Rate-Distortion Problems of the Poisson Process: a Group-Theoretic Approach","publication_year":2021,"publication_date":"2021-10-17","ids":{"openalex":"https://openalex.org/W3216480613","doi":"https://doi.org/10.1109/itw48936.2021.9611405","mag":"3216480613"},"language":"en","primary_location":{"id":"doi:10.1109/itw48936.2021.9611405","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","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/A5003794518","display_name":"Hui-An Shen","orcid":"https://orcid.org/0009-0006-3211-4039"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]},{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Hui-An Shen","raw_affiliation_strings":["University of Bern and University of Zurich"],"affiliations":[{"raw_affiliation_string":"University of Bern and University of Zurich","institution_ids":["https://openalex.org/I118564535","https://openalex.org/I202697423"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002781146","display_name":"Stefan M. Moser","orcid":"https://orcid.org/0000-0003-4833-8679"},"institutions":[{"id":"https://openalex.org/I178613991","display_name":"National Taitung University","ror":"https://ror.org/05j9d8v51","country_code":"TW","type":"education","lineage":["https://openalex.org/I178613991"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Stefan M. Moser","raw_affiliation_strings":["ETH Zurich and NCTU Taiwan"],"affiliations":[{"raw_affiliation_string":"ETH Zurich and NCTU Taiwan","institution_ids":["https://openalex.org/I178613991"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061157913","display_name":"Jean-Pascal Pfister","orcid":"https://orcid.org/0000-0002-1847-3389"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]},{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jean-Pascal Pfister","raw_affiliation_strings":["University of Bern and University of Zurich"],"affiliations":[{"raw_affiliation_string":"University of Bern and University of Zurich","institution_ids":["https://openalex.org/I118564535","https://openalex.org/I202697423"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003794518"],"corresponding_institution_ids":["https://openalex.org/I118564535","https://openalex.org/I202697423"],"apc_list":null,"apc_paid":null,"fwci":0.3298,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55382982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.967199981212616,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.967199981212616,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9366999864578247,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9351999759674072,"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/distortion","display_name":"Distortion (music)","score":0.7685439586639404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6648786664009094},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5893062353134155},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5353662371635437},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.533941924571991},{"id":"https://openalex.org/keywords/rate-distortion","display_name":"Rate distortion","score":0.45877397060394287},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4555157721042633},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.44692158699035645},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.42673495411872864},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3875497579574585},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31920263171195984},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30843716859817505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23099243640899658},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.14455771446228027},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14084550738334656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07406696677207947},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07398945093154907}],"concepts":[{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.7685439586639404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6648786664009094},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5893062353134155},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5353662371635437},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.533941924571991},{"id":"https://openalex.org/C2982755384","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate distortion","level":3,"score":0.45877397060394287},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4555157721042633},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.44692158699035645},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.42673495411872864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3875497579574585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31920263171195984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30843716859817505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23099243640899658},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.14455771446228027},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14084550738334656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07406696677207947},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07398945093154907},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"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/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:10.1109/itw48936.2021.9611405","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:boris.unibe.ch:170240","is_oa":false,"landing_page_url":"https://boris.unibe.ch/170240/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shen, Hui-An; Moser, Stefan M.; Pfister, Jean-Pascal (2021). Rate-Distortion Problems of the Poisson Process: a Group-Theoretic Approach. In: 2021 IEEE Information Theory Workshop (ITW) (pp. 1-6). IEEE 10.1109/ITW48936.2021.9611405 &lt;http://dx.doi.org/10.1109/ITW48936.2021.9611405&gt;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W33655049","https://openalex.org/W1500798890","https://openalex.org/W2028991828","https://openalex.org/W2080492884","https://openalex.org/W2115102992","https://openalex.org/W2141811876","https://openalex.org/W2151828502","https://openalex.org/W2155464965","https://openalex.org/W2158484363","https://openalex.org/W2164275765","https://openalex.org/W2975259874","https://openalex.org/W3175528922","https://openalex.org/W6601396752"],"related_works":["https://openalex.org/W2225046392","https://openalex.org/W1939724041","https://openalex.org/W4252323550","https://openalex.org/W2065735671","https://openalex.org/W4302594354","https://openalex.org/W2557614388","https://openalex.org/W2834438054","https://openalex.org/W4235306759","https://openalex.org/W1988309847","https://openalex.org/W2963985698"],"abstract_inverted_index":{"We":[0],"study":[1],"rate-distortion":[2,37,72,87,92],"problems":[3,38,47,73],"of":[4,17,39,50,74],"a":[5,9,15,18,40,62,65,75],"Poisson":[6,19,42,76],"process":[7,21,43,77],"using":[8],"group":[10,53],"theoretic":[11],"approach.":[12],"By":[13],"describing":[14],"realization":[16],"point":[20,24],"with":[22,89],"either":[23],"timings":[25],"or":[26],"inter-point":[27],"intervals":[28],"and":[29,64],"by":[30],"choosing":[31],"appropriate":[32],"distortion":[33,80],"measures,":[34,81],"we":[35,59,68],"establish":[36],"homogeneous":[41],"as":[44],"ball-or":[45],"sphere-covering":[46],"for":[48],"realizations":[49,58],"the":[51,57,85,90],"hyperoctahedral":[52],"in":[54,84],"$\\mathbb{R}^{n}$.":[55],"Specifically,":[56],"investigate":[60],"are":[61],"hypercube":[63],"hyperoctahedron.":[66],"Thereby":[67],"unify":[69],"three":[70],"known":[71],"(with":[78],"different":[79],"but":[82],"resulting":[83],"same":[86],"function)":[88],"Laplacian-$\\ell_{1}$":[91],"problem.":[93]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
