{"id":"https://openalex.org/W1987728542","doi":"https://doi.org/10.1109/tsp.2013.2261296","title":"On Constrained Randomized Quantization","display_name":"On Constrained Randomized Quantization","publication_year":2013,"publication_date":"2013-05-02","ids":{"openalex":"https://openalex.org/W1987728542","doi":"https://doi.org/10.1109/tsp.2013.2261296","mag":"1987728542"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2261296","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2261296","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1206.2974","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012879525","display_name":"Emrah Akyol","orcid":"https://orcid.org/0000-0002-0663-1677"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Emrah Akyol","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026459097","display_name":"Kenneth Rose","orcid":"https://orcid.org/0000-0001-9463-2647"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth Rose","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012879525"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":1.7617,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83177134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"61","issue":"13","first_page":"3291","last_page":"3302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/dither","display_name":"Dither","score":0.8812481164932251},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.7642667293548584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6805419921875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5510738492012024},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48635512590408325},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.4509064257144928},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.430941641330719},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3261563777923584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2735302448272705},{"id":"https://openalex.org/keywords/noise-shaping","display_name":"Noise shaping","score":0.15036925673484802},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14213407039642334},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.1299954354763031}],"concepts":[{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.8812481164932251},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7642667293548584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6805419921875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5510738492012024},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48635512590408325},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.4509064257144928},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.430941641330719},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3261563777923584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2735302448272705},{"id":"https://openalex.org/C9083635","wikidata":"https://www.wikidata.org/wiki/Q2133535","display_name":"Noise shaping","level":2,"score":0.15036925673484802},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14213407039642334},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.1299954354763031},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tsp.2013.2261296","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2261296","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1206.2974","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1206.2974","pdf_url":"https://arxiv.org/pdf/1206.2974","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:CiteSeerX.psu:10.1.1.367.4240","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.367.4240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scl.ece.ucsb.edu/pubs/pubs_D/d12_1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.367.4251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.367.4251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scl.ece.ucsb.edu/pubs/pubs_D/d13_1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.645.7914","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.645.7914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scl.ece.ucsb.edu/pubs/pubs_D/d12_1.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1206.2974","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1206.2974","pdf_url":"https://arxiv.org/pdf/1206.2974","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1987728542.pdf","grobid_xml":"https://content.openalex.org/works/W1987728542.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W607898100","https://openalex.org/W1512015702","https://openalex.org/W1534416612","https://openalex.org/W1547358136","https://openalex.org/W1580872065","https://openalex.org/W1634005169","https://openalex.org/W1967873601","https://openalex.org/W1994781711","https://openalex.org/W1995875735","https://openalex.org/W2003158588","https://openalex.org/W2018300428","https://openalex.org/W2022743384","https://openalex.org/W2034435744","https://openalex.org/W2040176268","https://openalex.org/W2043703498","https://openalex.org/W2067936044","https://openalex.org/W2084071523","https://openalex.org/W2098833740","https://openalex.org/W2099111195","https://openalex.org/W2099166397","https://openalex.org/W2100403032","https://openalex.org/W2105307924","https://openalex.org/W2111857756","https://openalex.org/W2114939100","https://openalex.org/W2115942321","https://openalex.org/W2117905067","https://openalex.org/W2120286056","https://openalex.org/W2122086266","https://openalex.org/W2131578006","https://openalex.org/W2132330780","https://openalex.org/W2134887275","https://openalex.org/W2135897393","https://openalex.org/W2151007095","https://openalex.org/W2161877964","https://openalex.org/W2170746474","https://openalex.org/W2171760107","https://openalex.org/W2293423476","https://openalex.org/W2502914326","https://openalex.org/W2603429253","https://openalex.org/W2912291331","https://openalex.org/W3103265152","https://openalex.org/W3104550706","https://openalex.org/W6634683573","https://openalex.org/W7061399666"],"related_works":["https://openalex.org/W2094272778","https://openalex.org/W4210717739","https://openalex.org/W2000868246","https://openalex.org/W2933484786","https://openalex.org/W2067936044","https://openalex.org/W2121067345","https://openalex.org/W3209251257","https://openalex.org/W4240683590","https://openalex.org/W1489554298","https://openalex.org/W2186984260"],"abstract_inverted_index":{"Randomized":[0],"(dithered)":[1],"quantization":[2,36,196],"is":[3,44,84,100,198,203,215],"a":[4,41,184,218,225],"method":[5],"capable":[6],"of":[7,13,26,56,164,191,212,228],"achieving":[8],"white":[9],"reconstruction":[10,97,156,171],"error":[11,98,157,172,197],"independent":[12],"the":[14,47,57,103,114,125,132,138,145,150,155,161,165,187,201],"source.":[15,104],"Dithered":[16],"quantizers":[17,95,117,229],"have":[18],"traditionally":[19],"been":[20],"considered":[21],"within":[22],"their":[23,119],"natural":[24],"setting":[25,211],"uniform":[27],"quantization.":[28,71],"In":[29,160],"this":[30,210],"paper":[31],"we":[32,167],"extend":[33],"conventional":[34,139],"dithered":[35,140],"to":[37,86,176,220],"nonuniform":[38],"quantization,":[39],"via":[40],"subterfage:":[42],"dithering":[43],"performed":[45],"in":[46,209],"companded":[48],"domain.":[49],"Closed":[50],"form":[51],"necessary":[52,80],"conditions":[53],"for":[54,64,124,183],"optimality":[55],"compressor":[58],"and":[59,67,110,118],"expander":[60],"mappings":[61,73],"are":[62,74],"derived":[63],"both":[65],"fixed":[66],"variable":[68],"rate":[69],"randomized":[70,94,135],"Numerically,":[72],"optimized":[75],"by":[76],"iteratively":[77],"imposing":[78],"these":[79],"conditions.":[81],"The":[82],"framework":[83],"extended":[85],"include":[87],"an":[88],"explicit":[89],"constraint":[90],"that":[91,99,131,182,230],"deterministic":[92,147],"or":[93],"yield":[96],"uncorrelated":[101,170,199],"with":[102,200],"Surprising":[105],"theoretical":[106],"results":[107,123],"show":[108,181],"direct":[109],"simple":[111],"connection":[112],"between":[113],"optimal":[115,188],"constrained":[116,134,146,152],"unconstrained":[120],"counterparts.":[121],"Numerical":[122],"Gaussian":[126,185],"source":[127],"provide":[128],"strong":[129],"evidence":[130],"proposed":[133,151],"quantizer":[136,153,190],"outperforms":[137],"quantizer,":[141],"as":[142,144],"well":[143],"quantizer.":[148],"Moreover,":[149],"renders":[154],"nearly":[158],"white.":[159],"second":[162],"part":[163],"paper,":[166],"investigate":[168],"whether":[169],"requires":[173],"random":[174,207],"coding":[175],"achieve":[177],"asymptotic":[178],"optimality.":[179],"We":[180],"source,":[186,202],"vector":[189],"asymptotically":[192],"high":[193],"dimension":[194],"whose":[195],"indeed":[204],"random.":[205],"Thus,":[206],"encoding":[208],"rate-distortion":[213],"theory,":[214],"not":[216],"merely":[217],"tool":[219],"characterize":[221],"performance":[222],"bounds,":[223],"but":[224],"required":[226],"property":[227],"approach":[231],"such":[232],"bounds.":[233]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}