{"id":"https://openalex.org/W2742932787","doi":"https://doi.org/10.1109/isit.2017.8006525","title":"Inexact projected gradients on unions of subspaces","display_name":"Inexact projected gradients on unions of subspaces","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2742932787","doi":"https://doi.org/10.1109/isit.2017.8006525","mag":"2742932787"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006525","doi":"https://doi.org/10.1109/isit.2017.8006525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006525","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"volume":null,"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":null,"display_name":"Thomas Wiese","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Wiese","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054593316","display_name":"Lorenz Weiland","orcid":"https://orcid.org/0009-0008-8869-0566","observed_orcids":["https://orcid.org/0009-0008-8869-0566"]},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lorenz Weiland","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004140094","display_name":"Wolfgang Utschick","orcid":"https://orcid.org/0000-0002-2871-4246","observed_orcids":["https://orcid.org/0000-0002-2871-4246"]},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Utschick","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.4183,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65320042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":null,"first_page":"236","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9984999895095825,"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":0.9984999895095825,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":9.999999747378752e-05,"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/projected-gradient-algorithm","display_name":"gradient projection algorithm","score":0.9449999928474426},{"id":"https://openalex.org/keywords/linear-inverse-problems","display_name":"linear inverse problems","score":0.9520000219345093},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.8889999985694885},{"id":"https://openalex.org/keywords/mimo-radar","display_name":"MIMO radar","score":0.9110000133514404},{"id":"https://openalex.org/keywords/angle-estimation","display_name":"angle estimation","score":0.8009999990463257},{"id":"https://openalex.org/keywords/time-delay-estimation","display_name":"time delay estimation","score":0.9309999942779541},{"id":"https://openalex.org/keywords/range-estimation","display_name":"range estimation","score":0.8190000057220459},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"compressed sensing","score":0.9779999852180481}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8398926854133606},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7255398035049438},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6879951357841492},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6652536392211914},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5621471405029297},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5112409591674805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5088151097297668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4942820072174072},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.469759464263916},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.4686267673969269},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4173658788204193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38085946440696716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36033493280410767},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10981664061546326},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09829896688461304},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07700151205062866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07530158758163452},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2017.8006525","doi":"https://doi.org/10.1109/isit.2017.8006525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006525","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1826818071","https://openalex.org/W1885794093","https://openalex.org/W2077520262","https://openalex.org/W2078524554","https://openalex.org/W2100875869","https://openalex.org/W2113638573","https://openalex.org/W2125680629","https://openalex.org/W2128131274","https://openalex.org/W2130357047","https://openalex.org/W2137066618","https://openalex.org/W2147276092","https://openalex.org/W2248641225","https://openalex.org/W2276322547","https://openalex.org/W2289917018","https://openalex.org/W2419562519","https://openalex.org/W2515853204","https://openalex.org/W2553318503","https://openalex.org/W2963322354","https://openalex.org/W2964196211","https://openalex.org/W6729422558"],"related_works":["https://openalex.org/W7096092973","https://openalex.org/W1482512921","https://openalex.org/W7098403436","https://openalex.org/W2330561345","https://openalex.org/W2113740359","https://openalex.org/W4385358734","https://openalex.org/W2109449402","https://openalex.org/W947105725","https://openalex.org/W2015058428","https://openalex.org/W2140414732"],"abstract_inverted_index":{"We":[0],"prove":[1],"convergence":[2],"of":[3,23],"the":[4],"projected":[5],"gradient":[6],"algorithm":[7,27],"with":[8,17],"inexact":[9],"projections":[10],"when":[11],"applied":[12],"to":[13],"linear":[14],"inverse":[15],"problems":[16],"constraint":[18],"sets":[19],"that":[20],"are":[21],"unions":[22],"subspaces.":[24],"Such":[25],"an":[26],"is":[28],"useful":[29],"for":[30,42,52],"joint":[31],"angle":[32,43],"and":[33],"delay":[34],"estimation":[35,44],"in":[36],"MIMO":[37],"radar,":[38],"where":[39],"classical":[40],"estimators":[41],"can":[45],"be":[46],"integrated":[47],"into":[48],"compressive":[49],"sensing":[50],"methods":[51],"range":[53],"estimation.":[54]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2017-08-17T00:00:00"}
