{"id":"https://openalex.org/W1615187019","doi":"https://doi.org/10.1109/fpl.2015.7293750","title":"A scalable FPGA architecture for nonnegative least squares problems","display_name":"A scalable FPGA architecture for nonnegative least squares problems","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W1615187019","doi":"https://doi.org/10.1109/fpl.2015.7293750","mag":"1615187019"},"language":"en","primary_location":{"id":"doi:10.1109/fpl.2015.7293750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpl.2015.7293750","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 25th International Conference on Field Programmable Logic and Applications (FPL)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5012052294","display_name":"Alric Althoff","orcid":"https://orcid.org/0000-0002-8355-6906"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alric Althoff","raw_affiliation_strings":["Computer Science and Engineering, University of California, San Diego","[Computer Science & Engineering, University of California, San Diego, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, University of California, San Diego","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"[Computer Science & Engineering, University of California, San Diego, USA]","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000231774","display_name":"Ryan Kastner","orcid":"https://orcid.org/0000-0001-9062-5570"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan Kastner","raw_affiliation_strings":["Computer Science and Engineering, University of California, San Diego","[Computer Science & Engineering, University of California, San Diego, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, University of California, San Diego","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"[Computer Science & Engineering, University of California, San Diego, USA]","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9966999888420105,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7712215185165405},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.7219668626785278},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6337527632713318},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4459371566772461},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.4286722242832184},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.4266679883003235},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.41367560625076294},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4117277264595032},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.37477773427963257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.368779718875885},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.18998268246650696},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18816512823104858}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7712215185165405},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.7219668626785278},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6337527632713318},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4459371566772461},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.4286722242832184},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4266679883003235},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.41367560625076294},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4117277264595032},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.37477773427963257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.368779718875885},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.18998268246650696},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18816512823104858},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fpl.2015.7293750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpl.2015.7293750","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 25th International Conference on Field Programmable Logic and Applications (FPL)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1580633658","https://openalex.org/W1902027874","https://openalex.org/W2000023271","https://openalex.org/W2073513732","https://openalex.org/W2075665712","https://openalex.org/W2078786857","https://openalex.org/W2098098075","https://openalex.org/W2106789617","https://openalex.org/W2109449402","https://openalex.org/W2118718620","https://openalex.org/W2120816706","https://openalex.org/W2124433837","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2132367502","https://openalex.org/W2135046866","https://openalex.org/W2148004019","https://openalex.org/W2296616510","https://openalex.org/W4237234927","https://openalex.org/W4250955649","https://openalex.org/W6668769857","https://openalex.org/W6677759377"],"related_works":["https://openalex.org/W4250106855","https://openalex.org/W2037261263","https://openalex.org/W3149087629","https://openalex.org/W4231036715","https://openalex.org/W2107386309","https://openalex.org/W2545869789","https://openalex.org/W2141090006","https://openalex.org/W1964555484","https://openalex.org/W3048932468","https://openalex.org/W2148504016"],"abstract_inverted_index":{"Nonnegative":[0],"least":[1],"squares":[2],"(NNLS)":[3],"optimization":[4],"is":[5,93],"an":[6],"important":[7],"algorithmic":[8],"component":[9],"of":[10,24,29,127],"many":[11,53],"problems":[12],"in":[13,50,101],"science":[14],"and":[15,22,52,61,77,122],"engineering,":[16],"including":[17],"image":[18],"segmentation,":[19],"spectral":[20],"deconvolution,":[21],"reconstruction":[23,126],"compressively":[25,129],"sensed":[26,130],"data.":[27],"Each":[28],"these":[30],"areas":[31],"can":[32],"benefit":[33],"from":[34],"high":[35],"performance":[36],"implementations":[37],"suitable":[38],"for":[39],"embedded":[40],"applications.":[41],"Unfortunately,":[42],"the":[43],"NNLS":[44],"problem":[45],"has":[46],"no":[47],"solution":[48],"expressible":[49],"closed-form,":[51],"popular":[54],"algorithms":[55,67],"are":[56],"not":[57],"amenable":[58],"to":[59,105,125],"compact":[60],"scalable":[62],"hardware":[63,90],"implementation.":[64],"Classical":[65],"iterative":[66],"generally":[68],"have":[69],"a":[70,96,118,128],"per-iteration":[71],"computational":[72],"cost":[73],"with":[74,137],"cubic":[75],"growth,":[76],"interdependencies":[78],"which":[79],"limit":[80],"parallel":[81],"approaches.":[82],"In":[83],"this":[84,102],"paper":[85,103],"we":[86,99],"develop":[87,100],"two":[88],"efficient":[89],"architectures.":[91],"One":[92],"based":[94],"on":[95,117],"novel":[97],"algorithm":[98],"specifically":[104],"reduce":[106],"FPGA":[107,121],"area":[108],"consumption":[109],"while":[110],"preserving":[111],"performance.":[112],"We":[113],"implement":[114],"our":[115],"architectures":[116],"very":[119],"small":[120],"apply":[123],"them":[124],"signal":[131],"showing":[132],"residual":[133],"error":[134],"results":[135],"competitive":[136],"traditional":[138],"algorithms.":[139]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
