{"id":"https://openalex.org/W2789582299","doi":"https://doi.org/10.1109/camsap.2017.8313163","title":"Identification of kronecker-structured dictionaries: An asymptotic analysis","display_name":"Identification of kronecker-structured dictionaries: An asymptotic analysis","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2789582299","doi":"https://doi.org/10.1109/camsap.2017.8313163","mag":"2789582299"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2017.8313163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5080035133","display_name":"Zahra Shakeri","orcid":"https://orcid.org/0000-0002-3178-2813"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"funder","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zahra Shakeri","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087162046","display_name":"Anand D. Sarwate","orcid":"https://orcid.org/0000-0001-6123-5282"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"funder","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anand D. Sarwate","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028718006","display_name":"Waheed U. Bajwa","orcid":"https://orcid.org/0000-0003-4406-5263"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"funder","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Waheed U. Bajwa","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.297,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":3,"citation_normalized_percentile":{"value":0.329054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":75,"max":77},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9991,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9991,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9986,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9985,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.6679919},{"id":"https://openalex.org/keywords/dictionary-learning","display_name":"Dictionary Learning","score":0.4751879},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41915357}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.9757476},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.7023301},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.6679919},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5631525},{"id":"https://openalex.org/C2988886741","wikidata":"https://www.wikidata.org/wiki/Q25304494","display_name":"Dictionary learning","level":3,"score":0.4751879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46390483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4393515},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41915357},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32816708},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.16430041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14812574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.053091645},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2017.8313163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.78,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":20,"referenced_works":["https://openalex.org/W1630816465","https://openalex.org/W1765998458","https://openalex.org/W1933990309","https://openalex.org/W1972959470","https://openalex.org/W1973890885","https://openalex.org/W1979074964","https://openalex.org/W2015418199","https://openalex.org/W2063509716","https://openalex.org/W2066792693","https://openalex.org/W2073389244","https://openalex.org/W2117741752","https://openalex.org/W2138548210","https://openalex.org/W2142940228","https://openalex.org/W2160547390","https://openalex.org/W2163605009","https://openalex.org/W2523452257","https://openalex.org/W2592661776","https://openalex.org/W2700688831","https://openalex.org/W3105524276","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W577870507","https://openalex.org/W4233239985","https://openalex.org/W3102722572","https://openalex.org/W2117336295","https://openalex.org/W2090103374","https://openalex.org/W2079407403","https://openalex.org/W2073634779","https://openalex.org/W2060299328","https://openalex.org/W1564288589","https://openalex.org/W123417539"],"abstract_inverted_index":{"The":[0],"focus":[1],"of":[2,8,13,52,65,80],"this":[3],"work":[4],"is":[5],"on":[6,40],"derivation":[7],"conditions":[9,39,70],"for":[10,84],"asymptotic":[11,50],"recovery":[12,51],"Kronecker-structured":[14,33,81],"dictionaries":[15,56],"underlying":[16],"second-order":[17,21],"tensor":[18,22,88],"data.":[19,89],"Given":[20],"observations":[23],"(equivalently,":[24],"matrix-valued":[25],"data":[26],"samples)":[27],"that":[28,48],"are":[29,46],"generated":[30],"using":[31],"a":[32,62],"dictionary":[34,42,60,82],"and":[35,43,86],"sparse":[36],"coefficient":[37,44],"tensors,":[38],"the":[41,53,58,66,72,77],"distribution":[45],"derived":[47],"enable":[49],"individual":[54],"coordinate":[55],"comprising":[57],"Kronecker":[59],"within":[61],"local":[63],"neighborhood":[64],"true":[67],"model.":[68],"These":[69],"constitute":[71],"first":[73],"step":[74],"towards":[75],"understanding":[76],"sample":[78],"complexity":[79],"learning":[83],"second-":[85],"higher-order":[87]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2789582299","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-04-18T01:35:57.613695","created_date":"2018-03-29"}