{"id":"https://openalex.org/W2021002004","doi":"https://doi.org/10.1145/2462356.2462405","title":"Compressive sensing using locality-preserving matrices","display_name":"Compressive sensing using locality-preserving matrices","publication_year":2013,"publication_date":"2013-06-17","ids":{"openalex":"https://openalex.org/W2021002004","doi":"https://doi.org/10.1145/2462356.2462405","mag":"2021002004"},"language":"en","primary_location":{"id":"doi:10.1145/2462356.2462405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/86998","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001579666","display_name":"Elyot Grant","orcid":null},"institutions":[{"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":["US"],"is_corresponding":false,"raw_author_name":"Elyot Grant","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA","Massachusetts Institute of Technology; ,; Cambridge MA USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology; ,; Cambridge MA USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076056716","display_name":"Piotr Indyk","orcid":null},"institutions":[{"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":["US"],"is_corresponding":false,"raw_author_name":"Piotr Indyk","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, USA","Massachusetts Institute of Technology, Cambridge , USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge , USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11887345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"215","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.8057979345321655},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.723097562789917},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6247374415397644},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5736240744590759},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5394973754882812},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5210106372833252},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4859277307987213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4608423709869385},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.4488714337348938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43076297640800476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43035098910331726},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3728266954421997},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2332356870174408},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1987968385219574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16564926505088806},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07099977135658264}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8057979345321655},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.723097562789917},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6247374415397644},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5736240744590759},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5394973754882812},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5210106372833252},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4859277307987213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4608423709869385},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.4488714337348938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43076297640800476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43035098910331726},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3728266954421997},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2332356870174408},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1987968385219574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16564926505088806},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07099977135658264},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2462356.2462405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.365.2322","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.365.2322","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.csail.mit.edu/indyk/locality.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/86998","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/86998","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/86998","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/86998","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1580252060","https://openalex.org/W1865797552","https://openalex.org/W1965972569","https://openalex.org/W1966637115","https://openalex.org/W1970946979","https://openalex.org/W1971402995","https://openalex.org/W1991638668","https://openalex.org/W1995484833","https://openalex.org/W2011015278","https://openalex.org/W2045151837","https://openalex.org/W2122548617","https://openalex.org/W2123519434","https://openalex.org/W2130744035","https://openalex.org/W2164452299","https://openalex.org/W2296616510","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2384156839","https://openalex.org/W4321602641","https://openalex.org/W2394251275","https://openalex.org/W4241392912","https://openalex.org/W2596801716","https://openalex.org/W4387391601","https://openalex.org/W2141614742","https://openalex.org/W2737338842","https://openalex.org/W3005946484","https://openalex.org/W2886568922"],"abstract_inverted_index":{"Compressive":[0],"sensing":[1,116],"is":[2,35,45,59,78],"a":[3,13],"method":[4],"for":[5,52,140],"acquiring":[6],"high":[7],"dimensional":[8],"signals":[9],"(e.g.,":[10],"images)":[11],"using":[12],"small":[14],"number":[15],"of":[16,90,127,143],"linear":[17],"measurements.":[18],"Consider":[19],"an":[20,46,73],"n-pixel":[21],"image":[22,34],"x":[23,48],"\u2208":[24],"Rn,":[25],"where":[26,43],"each":[27],"pixel":[28],"p":[29],"has":[30],"value":[31],"xp.":[32],"The":[33,57],"acquired":[36],"by":[37],"computing":[38],"the":[39,62,66,87,124],"measurement":[40,50],"vector":[41],"Ax,":[42,71],"A":[44,64,97,121],"m":[47,54],"n":[49],"matrix,":[51],"some":[53],"<<":[55],"n.":[56],"goal":[58],"to":[60,75,85,105],"design":[61],"matrix":[63],"and":[65],"recovery":[67],"algorithm":[68],"which,":[69],"given":[70],"returns":[72],"approximation":[74,89],"x.":[76,91],"It":[77],"known":[79],"that":[80,98,118,122],"m=O(k":[81,128],"log(n/k))":[82],"measurements":[83],"suffices":[84],"recover":[86],"k-sparse":[88],"Unfortunately,":[92],"this":[93,111],"result":[94],"uses":[95],"matrices":[96,102,120],"are":[99,103],"random.":[100],"Such":[101],"difficult":[104],"implement":[106],"in":[107],"physical":[108],"devices.":[109],"In":[110],"paper":[112],"we":[113],"propose":[114],"compressive":[115],"schemes":[117],"use":[119],"achieve":[123],"near-optimal":[125],"bound":[126],"log":[129],"n),":[130],"while":[131],"being":[132],"highly":[133],"\"local\".":[134],"We":[135],"also":[136],"show":[137],"impossibility":[138],"results":[139],"stronger":[141],"notions":[142],"locality.":[144]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}