{"id":"https://openalex.org/W4395113777","doi":"https://doi.org/10.3390/axioms13050288","title":"Sparse Signal Recovery via Rescaled Matching Pursuit","display_name":"Sparse Signal Recovery via Rescaled Matching Pursuit","publication_year":2024,"publication_date":"2024-04-24","ids":{"openalex":"https://openalex.org/W4395113777","doi":"https://doi.org/10.3390/axioms13050288"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13050288","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050288","pdf_url":"https://www.mdpi.com/2075-1680/13/5/288/pdf?version=1713944799","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/5/288/pdf?version=1713944799","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102024716","display_name":"Wan Li","orcid":"https://orcid.org/0000-0002-6655-8846"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wan Li","raw_affiliation_strings":["Department of Applied Mathematics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010523186","display_name":"Peixin Ye","orcid":"https://orcid.org/0000-0002-4706-3223"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peixin Ye","raw_affiliation_strings":["Department of Applied Mathematics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010523186"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":1.0099,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67441569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"13","issue":"5","first_page":"288","last_page":"288"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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":0.9983999729156494,"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/matching-pursuit","display_name":"Matching pursuit","score":0.9063059091567993},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.8423018455505371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6254705190658569},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6065933704376221},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.5773075819015503},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.526803731918335},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.5182666778564453},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5081195831298828},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4717945456504822},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.4425511062145233},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.41806870698928833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35488688945770264},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33959725499153137},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23623651266098022},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09698688983917236},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08027175068855286}],"concepts":[{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.9063059091567993},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.8423018455505371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6254705190658569},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6065933704376221},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.5773075819015503},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.526803731918335},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.5182666778564453},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5081195831298828},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4717945456504822},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.4425511062145233},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.41806870698928833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35488688945770264},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33959725499153137},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23623651266098022},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09698688983917236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08027175068855286},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13050288","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050288","pdf_url":"https://www.mdpi.com/2075-1680/13/5/288/pdf?version=1713944799","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f6cade5360ec489bbf0c417b84c619a2","is_oa":false,"landing_page_url":"https://doaj.org/article/f6cade5360ec489bbf0c417b84c619a2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 5, p 288 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13050288","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050288","pdf_url":"https://www.mdpi.com/2075-1680/13/5/288/pdf?version=1713944799","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5755101517","display_name":null,"funder_award_id":"11671213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4395113777.pdf","grobid_xml":"https://content.openalex.org/works/W4395113777.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1529624360","https://openalex.org/W1607608767","https://openalex.org/W1966673696","https://openalex.org/W2000150201","https://openalex.org/W2000520738","https://openalex.org/W2021302824","https://openalex.org/W2037842665","https://openalex.org/W2091893102","https://openalex.org/W2119667497","https://openalex.org/W2127271355","https://openalex.org/W2128659236","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2139426338","https://openalex.org/W2145096794","https://openalex.org/W2154172459","https://openalex.org/W2168625863","https://openalex.org/W2783969858","https://openalex.org/W2963246996","https://openalex.org/W2963524597","https://openalex.org/W2999283151","https://openalex.org/W3022380717","https://openalex.org/W3037442952","https://openalex.org/W3098004101","https://openalex.org/W3141829191","https://openalex.org/W4224294855","https://openalex.org/W4249999916","https://openalex.org/W4250955649","https://openalex.org/W4285726607","https://openalex.org/W4293413268","https://openalex.org/W4300263211","https://openalex.org/W4307452312","https://openalex.org/W4366287446","https://openalex.org/W4392383430","https://openalex.org/W6820936193"],"related_works":["https://openalex.org/W4394644422","https://openalex.org/W2134474909","https://openalex.org/W2951968883","https://openalex.org/W1974198688","https://openalex.org/W2122469757","https://openalex.org/W3150789642","https://openalex.org/W4200104579","https://openalex.org/W1975983932","https://openalex.org/W1978696990","https://openalex.org/W2252480727"],"abstract_inverted_index":{"We":[0,33],"propose":[1],"the":[2,37,44,48,51,64,69,96,99],"Rescaled":[3],"Matching":[4,30],"Pursuit":[5,31],"(RMP)":[6],"algorithm":[7,18,66,101],"to":[8],"recover":[9],"sparse":[10,73,108],"signals":[11,74],"in":[12],"high-dimensional":[13],"Euclidean":[14],"spaces.":[15],"The":[16],"RMP":[17,65,92,100],"has":[19],"less":[20],"computational":[21],"complexity":[22],"than":[23],"other":[24],"greedy-type":[25],"algorithms,":[26],"such":[27],"as":[28],"Orthogonal":[29],"(OMP).":[32],"show":[34,90],"that":[35,63,91],"if":[36],"restricted":[38],"isometry":[39],"property":[40],"is":[41,93,102],"satisfied,":[42],"then":[43],"upper":[45],"bound":[46],"of":[47,72],"error":[49],"between":[50],"original":[52],"signal":[53],"and":[54,89],"its":[55],"approximation":[56],"can":[57,67],"be":[58],"derived.":[59],"Furthermore,":[60],"we":[61],"prove":[62],"find":[68],"correct":[70],"support":[71],"from":[75],"random":[76],"measurements":[77],"with":[78,95],"a":[79,103],"high":[80],"probability.":[81],"Our":[82],"numerical":[83],"experiments":[84],"also":[85],"verify":[86],"this":[87],"conclusion":[88],"stable":[94],"noise.":[97],"So,":[98],"suitable":[104],"method":[105],"for":[106],"recovering":[107],"signals.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}
