{"id":"https://openalex.org/W1847873548","doi":"https://doi.org/10.1109/isit.2015.7282472","title":"Beyond semidefinite relaxation: Basis banks and computationally enhanced guarantees","display_name":"Beyond semidefinite relaxation: Basis banks and computationally enhanced guarantees","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1847873548","doi":"https://doi.org/10.1109/isit.2015.7282472","mag":"1847873548"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5053865178","display_name":"Mojtaba Soltanalian","orcid":"https://orcid.org/0000-0003-3714-4449"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mojtaba Soltanalian","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology","Department of Electrical Engineering, California Institute of Technology, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, USA#TAB#","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology","Department of Electrical Engineering, California Institute of Technology, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, USA#TAB#","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053865178"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03788563,"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":"336","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9952999949455261,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9901000261306763,"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/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.7163867950439453},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7137653231620789},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.7076351642608643},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.7033075094223022},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6812670230865479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6375060677528381},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6188060641288757},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5919904708862305},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.49718478322029114},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4950794279575348},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.44128453731536865},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.41162699460983276},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2552553415298462},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25079146027565},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0632585883140564}],"concepts":[{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.7163867950439453},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7137653231620789},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.7076351642608643},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.7033075094223022},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6812670230865479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6375060677528381},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6188060641288757},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5919904708862305},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.49718478322029114},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4950794279575348},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.44128453731536865},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.41162699460983276},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2552553415298462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25079146027565},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0632585883140564},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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":2,"locations":[{"id":"doi:10.1109/isit.2015.7282472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:60873","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20151007-110124683","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1852767571","https://openalex.org/W1967790992","https://openalex.org/W1985123706","https://openalex.org/W1996215314","https://openalex.org/W1997824877","https://openalex.org/W2041833182","https://openalex.org/W2045148236","https://openalex.org/W2054763080","https://openalex.org/W2082422319","https://openalex.org/W2107376953","https://openalex.org/W2131033694","https://openalex.org/W2142067208","https://openalex.org/W2149963542","https://openalex.org/W2156202420","https://openalex.org/W2156816269","https://openalex.org/W2912522929","https://openalex.org/W4236826464"],"related_works":["https://openalex.org/W2348903644","https://openalex.org/W1989828432","https://openalex.org/W2975050997","https://openalex.org/W2233303476","https://openalex.org/W2352839224","https://openalex.org/W2371590971","https://openalex.org/W1653317167","https://openalex.org/W2203098598","https://openalex.org/W2024017812","https://openalex.org/W2952690984"],"abstract_inverted_index":{"As":[0],"a":[1,16,21,39,72,85,93],"widely":[2,49],"used":[3],"tool":[4],"in":[5,38,84,129],"tackling":[6],"general":[7,40],"quadratic":[8,95,120],"optimization":[9,96,121],"problems,":[10],"semidefinite":[11],"relaxation":[12],"(SDR)":[13],"promises":[14],"both":[15],"polynomial-time":[17],"complexity":[18],"and":[19,108],"an":[20],"priori":[22],"known":[23],"sub-optimality":[24],"guarantee":[25],"for":[26,79],"its":[27],"approximate":[28],"solutions.":[29],"While":[30],"attempts":[31],"at":[32,102],"improving":[33],"the":[34,52,64,77,103,113],"guarantees":[35,83,125],"of":[36,54,105],"SDR":[37,58],"sense":[41],"have":[42],"proven":[43],"largely":[44],"unsuccessful,":[45],"it":[46],"has":[47],"been":[48],"observed":[50],"that":[51,75],"quality":[53],"solutions":[55],"obtained":[56],"by":[57],"is":[59],"usually":[60],"considerably":[61],"better":[62],"than":[63],"provided":[65],"guarantees.":[66],"In":[67],"this":[68],"paper,":[69],"we":[70],"propose":[71],"novel":[73],"methodology":[74],"paves":[76],"way":[78],"obtaining":[80],"improved":[81],"data-dependent":[82],"computational":[86],"way.":[87],"The":[88,123],"derivations":[89],"are":[90,126],"dedicated":[91],"to":[92,118],"specific":[94],"problem":[97],"(called":[98],"m-QP)":[99],"which":[100],"lies":[101],"core":[104],"many":[106],"communication":[107],"active":[109],"sensing":[110],"schemes;":[111],"however,":[112],"ideas":[114],"may":[115],"be":[116],"generalized":[117],"other":[119],"problems.":[122],"new":[124],"particularly":[127],"useful":[128],"accuracy":[130],"sensitive":[131],"applications,":[132],"including":[133],"decision-making":[134],"scenarios.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
