{"id":"https://openalex.org/W1984277078","doi":"https://doi.org/10.1109/isit.2014.6875420","title":"A case for orthogonal measurements in linear inverse problems","display_name":"A case for orthogonal measurements in linear inverse problems","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1984277078","doi":"https://doi.org/10.1109/isit.2014.6875420","mag":"1984277078"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875420","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875420","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":"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/A5050547472","display_name":"Samet Oymak","orcid":"https://orcid.org/0000-0001-5203-0752"},"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":"Samet Oymak","raw_affiliation_strings":["Department of Electrical Engineering Caltech, Pasadena","[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]","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 Caltech, Pasadena","[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Caltech, Pasadena","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Caltech, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050547472"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.9334,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83913801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3175","last_page":"3179"},"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":0.9968000054359436,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9904000163078308,"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/orthonormal-basis","display_name":"Orthonormal basis","score":0.8268460631370544},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.7224283218383789},{"id":"https://openalex.org/keywords/orthonormality","display_name":"Orthonormality","score":0.6539748907089233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5463958978652954},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47880038619041443},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4712519943714142},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4567930996417999},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44751664996147156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42177531123161316},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38189539313316345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3442460298538208},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32327619194984436},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.16531264781951904}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.8268460631370544},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.7224283218383789},{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.6539748907089233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5463958978652954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47880038619041443},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4712519943714142},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4567930996417999},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44751664996147156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42177531123161316},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38189539313316345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3442460298538208},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32327619194984436},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.16531264781951904},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2014.6875420","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875420","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W74946117","https://openalex.org/W1546851689","https://openalex.org/W1800334520","https://openalex.org/W1984277078","https://openalex.org/W2015418199","https://openalex.org/W2067038358","https://openalex.org/W2090842051","https://openalex.org/W2132001804","https://openalex.org/W2135046866","https://openalex.org/W2144006746","https://openalex.org/W2160955696","https://openalex.org/W2162312215","https://openalex.org/W2162451874","https://openalex.org/W2163916252","https://openalex.org/W2164452299","https://openalex.org/W2164595191","https://openalex.org/W2167077875","https://openalex.org/W2300822346","https://openalex.org/W2964256213","https://openalex.org/W2964312599","https://openalex.org/W2965497096","https://openalex.org/W3099257477","https://openalex.org/W3124617746","https://openalex.org/W4301425558","https://openalex.org/W6683664273"],"related_works":["https://openalex.org/W2013801824","https://openalex.org/W1529452180","https://openalex.org/W2013322017","https://openalex.org/W1496788307","https://openalex.org/W2149054915","https://openalex.org/W1591253575","https://openalex.org/W2108939823","https://openalex.org/W2138614992","https://openalex.org/W1573087379","https://openalex.org/W2145237261"],"abstract_inverted_index":{"We":[0,19,55,81,96],"investigate":[1,69],"the":[2,28,62,70,86,103],"random":[3],"matrices":[4,14,47,110],"that":[5,45],"have":[6,48],"orthonormal":[7,46],"rows":[8],"and":[9,75,92,99,113],"provide":[10],"a":[11],"comparison":[12],"to":[13,53,77,85],"with":[15],"independent":[16],"Gaussian":[17,90],"entries.":[18],"find":[20],"that,":[21],"orthonormality":[22],"provides":[23],"an":[24],"inherent":[25],"advantage":[26],"for":[27,32,61,89,107],"conditioning.":[29],"In":[30],"particular,":[31,67],"any":[33],"given":[34],"subset":[35],"S":[36],"of":[37,58,102],"\u211d":[38],"<sup":[39],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[41],",":[42],"we":[43,68],"show":[44],"better":[49],"restricted":[50,78],"eigenvalues":[51],"compared":[52],"Gaussians.":[54],"consider":[56],"implications":[57],"this":[59],"result":[60],"linear":[63],"inverse":[64],"problems;":[65],"in":[66],"noisy":[71],"sparse":[72],"estimation":[73],"setup":[74],"applications":[76],"isometry":[79],"property.":[80],"relate":[82],"our":[83],"findings":[84],"results":[87],"known":[88],"processes":[91],"precise":[93],"undersampling":[94],"theorems.":[95],"then":[97],"discuss":[98],"illustrate":[100],"universality":[101],"noise":[104],"robustness":[105],"behavior":[106],"partial":[108],"unitary":[109],"including":[111],"Hadamard":[112],"Discrete":[114],"Cosine":[115],"Transform.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}