{"id":"https://openalex.org/W4403618834","doi":"https://doi.org/10.48550/arxiv.2409.05745","title":"The Error Probability of Spatially Coupled Sparse Regression Codes over Memoryless Channels","display_name":"The Error Probability of Spatially Coupled Sparse Regression Codes over Memoryless Channels","publication_year":2024,"publication_date":"2024-09-09","ids":{"openalex":"https://openalex.org/W4403618834","doi":"https://doi.org/10.48550/arxiv.2409.05745"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2409.05745","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.05745","pdf_url":"https://arxiv.org/pdf/2409.05745","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":null},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2409.05745","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101957678","display_name":"Yuhao Liu","orcid":"https://orcid.org/0000-0003-3098-957X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu, Yuhao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101667907","display_name":"Yizhou Xu","orcid":"https://orcid.org/0000-0002-6918-8801"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xu, Yizhou","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5060320373","display_name":"TianQi Hou","orcid":"https://orcid.org/0000-0003-1940-4833"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hou, Tianqi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101957678"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9894999861717224,"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"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9894999861717224,"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/T12676","display_name":"Machine Learning and ELM","score":0.9854999780654907,"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"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.978600025177002,"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/mathematics","display_name":"Mathematics","score":0.5114568471908569},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.47602492570877075},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.41582220792770386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3639976382255554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32231682538986206}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5114568471908569},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.47602492570877075},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.41582220792770386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3639976382255554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32231682538986206}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2409.05745","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.05745","pdf_url":"https://arxiv.org/pdf/2409.05745","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":null},{"id":"doi:10.48550/arxiv.2409.05745","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2409.05745","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:2409.05745","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.05745","pdf_url":"https://arxiv.org/pdf/2409.05745","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":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"Sparse":[0,37],"Regression":[1,38],"Codes":[2,39],"(SPARCs)":[3],"are":[4,41],"capacity-achieving":[5,42],"codes":[6],"introduced":[7],"for":[8,57],"communication":[9],"over":[10,43,76],"the":[11,58,63,67,88],"Additive":[12],"White":[13],"Gaussian":[14],"Noise":[15],"(AWGN)":[16],"channels":[17,46],"and":[18,79],"were":[19],"later":[20],"extended":[21],"to":[22,87],"general":[23,44],"memoryless":[24,45,77],"channels.":[25],"In":[26],"particular":[27],"it":[28],"was":[29],"shown":[30],"via":[31],"threshold":[32],"saturation":[33],"that":[34],"Spatially":[35],"Coupled":[36],"(SC-SPARCs)":[40],"when":[47],"using":[48],"an":[49],"Approximate":[50,69],"Message":[51,70],"Passing":[52,71],"decoder":[53,73],"(AMP).":[54],"This":[55],"paper,":[56],"first":[59],"time":[60],"rigorously,":[61],"analyzes":[62],"non-asymptotic":[64],"performance":[65],"of":[66,74],"Generalized":[68],"(GAMP)":[72],"SC-SPARCs":[75],"channels,":[78],"proves":[80],"exponential":[81],"decaying":[82],"error":[83],"probability":[84],"with":[85],"respect":[86],"code":[89],"length.":[90]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}