{"id":"https://openalex.org/W2025599022","doi":"https://doi.org/10.1109/vtcfall.2013.6692175","title":"Efficient Implementations of Orthogonal Matching Pursuit Based on Inverse Cholesky Factorization","display_name":"Efficient Implementations of Orthogonal Matching Pursuit Based on Inverse Cholesky Factorization","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2025599022","doi":"https://doi.org/10.1109/vtcfall.2013.6692175","mag":"2025599022"},"language":"en","primary_location":{"id":"doi:10.1109/vtcfall.2013.6692175","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcfall.2013.6692175","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 78th Vehicular Technology Conference (VTC Fall)","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/A5039864918","display_name":"Hufei Zhu","orcid":"https://orcid.org/0000-0002-1629-6227"},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hufei Zhu","raw_affiliation_strings":["Communications Technology Laboratory, Huawei Technologies Co., Ltd., P. R. China","Commun. Technol. Lab., Huawei Technol. Co., Ltd., Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Communications Technology Laboratory, Huawei Technologies Co., Ltd., P. R. China","institution_ids":["https://openalex.org/I2250955327"]},{"raw_affiliation_string":"Commun. Technol. Lab., Huawei Technol. Co., Ltd., Shenzhen, China","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006208485","display_name":"Ganghua Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ganghua Yang","raw_affiliation_strings":["Communications Technology Laboratory, Huawei Technologies Co., Ltd., P. R. China","Commun. Technol. Lab., Huawei Technol. Co., Ltd., Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Communications Technology Laboratory, Huawei Technologies Co., Ltd., P. R. China","institution_ids":["https://openalex.org/I2250955327"]},{"raw_affiliation_string":"Commun. Technol. Lab., Huawei Technol. Co., Ltd., Shenzhen, China","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100344189","display_name":"Wen Chen","orcid":"https://orcid.org/0000-0003-2133-8679"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen Chen","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, P. R. China","Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, P. R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039864918"],"corresponding_institution_ids":["https://openalex.org/I2250955327"],"apc_list":null,"apc_paid":null,"fwci":0.3455,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61675997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T12303","display_name":"Tensor decomposition and applications","score":0.992900013923645,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9765968918800354},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.8318842053413391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7825579643249512},{"id":"https://openalex.org/keywords/matching-pursuit","display_name":"Matching pursuit","score":0.7096886038780212},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6522269248962402},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.527458667755127},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.523009717464447},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5118374228477478},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.49575337767601013},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4857502579689026},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.43650662899017334},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4112722873687744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3730241060256958},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3610749840736389},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.31417524814605713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1544794738292694},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.07113388180732727}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9765968918800354},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.8318842053413391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7825579643249512},{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.7096886038780212},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6522269248962402},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.527458667755127},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.523009717464447},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5118374228477478},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.49575337767601013},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4857502579689026},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.43650662899017334},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4112722873687744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3730241060256958},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3610749840736389},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.31417524814605713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1544794738292694},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.07113388180732727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vtcfall.2013.6692175","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcfall.2013.6692175","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 78th Vehicular Technology Conference (VTC Fall)","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":28,"referenced_works":["https://openalex.org/W1569306368","https://openalex.org/W1986931325","https://openalex.org/W2045289186","https://openalex.org/W2046658845","https://openalex.org/W2047559543","https://openalex.org/W2066982892","https://openalex.org/W2071284784","https://openalex.org/W2078204800","https://openalex.org/W2108826958","https://openalex.org/W2109213840","https://openalex.org/W2115549875","https://openalex.org/W2116148865","https://openalex.org/W2120511416","https://openalex.org/W2127271355","https://openalex.org/W2128659236","https://openalex.org/W2132622200","https://openalex.org/W2149831484","https://openalex.org/W2151693816","https://openalex.org/W2171731365","https://openalex.org/W2271934614","https://openalex.org/W2293318283","https://openalex.org/W2296616510","https://openalex.org/W4250955649","https://openalex.org/W4298374799","https://openalex.org/W6634154851","https://openalex.org/W6677446445","https://openalex.org/W6678252670","https://openalex.org/W6679614148"],"related_works":["https://openalex.org/W1509943448","https://openalex.org/W2526784484","https://openalex.org/W1987177655","https://openalex.org/W2887666076","https://openalex.org/W2050448951","https://openalex.org/W253708524","https://openalex.org/W232494833","https://openalex.org/W2074431240","https://openalex.org/W1545561241","https://openalex.org/W4318710973"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,23,39,45,48,56,60,64,66,71,75,82,86,90,97,100,104,112,118,128,136,139,153,158],"recently":[3],"proposed":[4,34,67,87,91,140,154],"efficient":[5,12,130],"inverse":[6],"Cholesky":[7],"factorization,":[8],"we":[9],"propose":[10],"three":[11],"implementations":[13,25,57,92,120],"of":[14,26,63,85,106],"Orthogonal":[15],"Matching":[16],"Pursuit":[17],"(OMP),":[18],"and":[19,30,43,94,110,147,161],"compare":[20],"them":[21],"with":[22],"existing":[24,119,129],"OMP":[27],"by":[28],"theoretical":[29],"empirical":[31],"analysis.":[32],"The":[33],"implementation":[35,68,88,131,141,155],"1":[36,69],"theoretically":[37],"needs":[38,70,143,157],"least":[40,72],"computational":[41,108,145],"complexity,":[42,109],"is":[44],"fastest":[46],"in":[47,74,111],"simulations":[49,113],"for":[50,99,121],"almost":[51],"all":[52],"problem":[53,123],"sizes.":[54,124],"Among":[55],"that":[58,132],"store":[59,135],"Gram":[61,101,137],"matrix":[62,102],"dictionary,":[65],"memories":[73,98],"k-th":[76],"iteration":[77],"(k":[78],">":[79],"1).":[80],"As":[81],"memory-saving":[83],"variants":[84],"1,":[89],"2":[93,142],"3":[95,156],"save":[96],"at":[103],"expense":[105],"higher":[107],"they":[114],"are":[115],"faster":[116],"than":[117],"most":[122],"With":[125],"respect":[126],"to":[127],"does":[133],"not":[134],"matrix,":[138],"less":[144,162],"complexity":[146,160],"a":[148],"little":[149],"more":[150],"memories,":[151],"while":[152],"same":[159],"memories.":[163]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
