{"id":"https://openalex.org/W2019622201","doi":"https://doi.org/10.1109/isit.2014.6874819","title":"Integer-Forcing Source Coding","display_name":"Integer-Forcing Source Coding","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2019622201","doi":"https://doi.org/10.1109/isit.2014.6874819","mag":"2019622201"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6874819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1308.6552","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004351362","display_name":"Or Ordentlich","orcid":"https://orcid.org/0000-0002-5791-7923"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Or Ordentlich","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, USA","Dept. of Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":[]},{"raw_affiliation_string":"Dept. of Electrical Engineering & Computer Science, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029983697","display_name":"Uri Erez","orcid":"https://orcid.org/0000-0001-7720-1116"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Erez","raw_affiliation_strings":["Department of Electrical Engineering Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004351362"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07862675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"2","first_page":"1253","last_page":"1269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9990000128746033,"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/codebook","display_name":"Codebook","score":0.6575862765312195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6440384387969971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5758172273635864},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5672121644020081},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5118157267570496},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48408448696136475},{"id":"https://openalex.org/keywords/lossy-compression","display_name":"Lossy compression","score":0.4542357325553894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3568020462989807},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17857801914215088}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.6575862765312195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6440384387969971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5758172273635864},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5672121644020081},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5118157267570496},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48408448696136475},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.4542357325553894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3568020462989807},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17857801914215088},{"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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/isit.2014.6874819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"doi:10.1109/tit.2016.2629491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2629491","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1308.6552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.6552","pdf_url":"https://arxiv.org/pdf/1308.6552","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":"","raw_type":"text"},{"id":"mag:2019622201","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1308.6552","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.8212","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.8212","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1308.6552.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1308.6552","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1308.6552","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1308.6552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.6552","pdf_url":"https://arxiv.org/pdf/1308.6552","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":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4399999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322248","display_name":"Israel Academy of Sciences and Humanities","ror":"https://ror.org/03c6c9520"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2019622201.pdf","grobid_xml":"https://content.openalex.org/works/W2019622201.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1512015702","https://openalex.org/W1604406970","https://openalex.org/W1970767514","https://openalex.org/W1993176105","https://openalex.org/W1995990042","https://openalex.org/W2005196269","https://openalex.org/W2005236590","https://openalex.org/W2005762169","https://openalex.org/W2050374329","https://openalex.org/W2062555860","https://openalex.org/W2084071523","https://openalex.org/W2094932461","https://openalex.org/W2099213070","https://openalex.org/W2101847097","https://openalex.org/W2109053700","https://openalex.org/W2109962983","https://openalex.org/W2111992817","https://openalex.org/W2115798205","https://openalex.org/W2120864408","https://openalex.org/W2122621581","https://openalex.org/W2124317079","https://openalex.org/W2124899794","https://openalex.org/W2129977719","https://openalex.org/W2133677464","https://openalex.org/W2134179788","https://openalex.org/W2134887275","https://openalex.org/W2138256990","https://openalex.org/W2140227342","https://openalex.org/W2141040012","https://openalex.org/W2145886843","https://openalex.org/W2148398176","https://openalex.org/W2148893247","https://openalex.org/W2151450116","https://openalex.org/W2157067218","https://openalex.org/W2161551338","https://openalex.org/W2161585002","https://openalex.org/W2162404506","https://openalex.org/W2162881109","https://openalex.org/W2167447263","https://openalex.org/W2172236196","https://openalex.org/W2296616510","https://openalex.org/W2510115354","https://openalex.org/W2564237603","https://openalex.org/W2564985867","https://openalex.org/W2569741146","https://openalex.org/W2950754480","https://openalex.org/W2963217749","https://openalex.org/W2964145575","https://openalex.org/W3098440025","https://openalex.org/W3216977419","https://openalex.org/W4237963784","https://openalex.org/W4250955649","https://openalex.org/W4253161507","https://openalex.org/W4293259454","https://openalex.org/W4300840296","https://openalex.org/W6655150781","https://openalex.org/W6730714758","https://openalex.org/W6804371254"],"related_works":["https://openalex.org/W2963363054","https://openalex.org/W2885421144","https://openalex.org/W2763589418","https://openalex.org/W2725332822","https://openalex.org/W2743635836","https://openalex.org/W2293792295","https://openalex.org/W2516403664","https://openalex.org/W2260370825","https://openalex.org/W2963519829","https://openalex.org/W2784948896","https://openalex.org/W2188303581","https://openalex.org/W3013280634","https://openalex.org/W3164973404","https://openalex.org/W3102647843","https://openalex.org/W1824101567","https://openalex.org/W2065064918","https://openalex.org/W2953244315","https://openalex.org/W2999538300","https://openalex.org/W2953147180","https://openalex.org/W2115955599"],"abstract_inverted_index":{"Integer-Forcing":[0],"(IF)":[1],"is":[2,163],"a":[3,19,33,49,74,102,155,170],"new":[4,34,171],"framework,":[5],"based":[6],"on":[7],"compute-and-forward,":[8],"for":[9,40,174],"decoding":[10],"multiple":[11],"integer":[12,108],"linear":[13,109,122],"combinations":[14,110,123],"from":[15],"the":[16,27,59,70,78,81,86,94,98,112,121,129,136,139,183],"output":[17],"of":[18,44,88,105,111,138,158],"Gaussian":[20,46],"multiple-input":[21],"multiple-output":[22],"channel.":[23],"This":[24,132],"paper":[25],"applies":[26],"IF":[28,37,159],"approach":[29],"to":[30,134,146,166,169],"arrive":[31],"at":[32],"low-complexity":[35],"scheme,":[36],"source":[38,160],"coding,":[39],"distributed":[41],"lossy":[42],"compression":[43,148],"correlated":[45],"sources":[47],"under":[48],"minimum":[50],"mean":[51],"squared":[52],"error":[53],"distortion":[54],"measure.":[55],"All":[56],"encoders":[57],"use":[58],"same":[60],"nested":[61],"lattice":[62,72],"codebook.":[63],"Each":[64],"encoder":[65],"quantizes":[66],"its":[67],"observation":[68],"using":[69],"fine":[71],"as":[73],"quantizer":[75],"and":[76,115,153],"reduces":[77],"result":[79],"modulo":[80],"coarse":[82,140],"lattice,":[83,141],"which":[84,142],"plays":[85],"role":[87],"binning.":[89],"Rather":[90],"than":[91,128],"directly":[92],"recovering":[93],"individual":[95],"quantized":[96,113],"signals,":[97,114],"decoder":[99],"first":[100],"recovers":[101],"full-rank":[103],"set":[104],"judiciously":[106],"chosen":[107],"then":[116],"inverts":[117],"it.":[118],"In":[119],"general,":[120],"have":[124],"smaller":[125,147],"average":[126],"powers":[127],"original":[130],"signals.":[131,185],"allows":[133],"increase":[135],"density":[137],"in":[143],"turn":[144],"translates":[145],"rates.":[149],"We":[150],"also":[151],"propose":[152],"analyze":[154],"one-shot":[156],"version":[157],"coding":[161],"that":[162,177],"simple":[164],"enough":[165],"potentially":[167],"lead":[168],"design":[172],"principle":[173],"analog-to-digital":[175],"converters":[176],"can":[178],"exploit":[179],"spatial":[180],"correlations":[181],"between":[182],"sampled":[184]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
