{"id":"https://openalex.org/W4407035265","doi":"https://doi.org/10.1007/s10444-025-10222-2","title":"A scaling fractional asymptotical regularization method for linear inverse problems","display_name":"A scaling fractional asymptotical regularization method for linear inverse problems","publication_year":2025,"publication_date":"2025-01-31","ids":{"openalex":"https://openalex.org/W4407035265","doi":"https://doi.org/10.1007/s10444-025-10222-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-025-10222-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10222-2","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-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/A5073063399","display_name":"Lele Yuan","orcid":"https://orcid.org/0000-0002-0810-6921"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lele Yuan","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030624932","display_name":"Ye Zhang","orcid":"https://orcid.org/0000-0003-4023-6352"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I4388482657","display_name":"Shenzhen MSU-BIT University","ror":"https://ror.org/02q963474","country_code":null,"type":"education","lineage":["https://openalex.org/I4388482657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Zhang","raw_affiliation_strings":["MSU-BIT-SMBU Joint Research Center of Applied Mathematics, Shenzhen MSU-BIT University, Shenzhen, 518172, China","School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China"],"raw_orcid":"https://orcid.org/0000-0003-4023-6352","affiliations":[{"raw_affiliation_string":"MSU-BIT-SMBU Joint Research Center of Applied Mathematics, Shenzhen MSU-BIT University, Shenzhen, 518172, China","institution_ids":["https://openalex.org/I4388482657"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073063399"],"corresponding_institution_ids":["https://openalex.org/I196934937"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":19.306,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9948876,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"51","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9936000108718872,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9904999732971191,"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/mathematics","display_name":"Mathematics","score":0.7722930908203125},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.7422369122505188},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6914151310920715},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6168287396430969},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.592190146446228},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5592454075813293},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.46417662501335144},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3748210668563843},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34503069519996643},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12469568848609924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11604991555213928},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08985644578933716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7722930908203125},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.7422369122505188},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6914151310920715},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6168287396430969},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.592190146446228},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5592454075813293},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.46417662501335144},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3748210668563843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34503069519996643},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12469568848609924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11604991555213928},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08985644578933716}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-025-10222-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10222-2","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2680068897","display_name":null,"funder_award_id":"Z210001","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G2817464516","display_name":null,"funder_award_id":"K21LB24","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8363470664","display_name":null,"funder_award_id":"12171036","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"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W335285985","https://openalex.org/W1570089119","https://openalex.org/W1968493903","https://openalex.org/W1968731161","https://openalex.org/W2064556267","https://openalex.org/W2082620273","https://openalex.org/W2121402967","https://openalex.org/W2151486698","https://openalex.org/W2291960678","https://openalex.org/W2558436941","https://openalex.org/W2905838698","https://openalex.org/W2922526012","https://openalex.org/W2962685899","https://openalex.org/W3074293297","https://openalex.org/W3100232497","https://openalex.org/W3100612269","https://openalex.org/W3146191843","https://openalex.org/W3194712401","https://openalex.org/W4236865815","https://openalex.org/W4239915530","https://openalex.org/W4244243830","https://openalex.org/W4293409666","https://openalex.org/W4407104209"],"related_works":["https://openalex.org/W4308245303","https://openalex.org/W4389519396","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W2050855072","https://openalex.org/W2077506191","https://openalex.org/W2387685679","https://openalex.org/W2331917905","https://openalex.org/W3134728064","https://openalex.org/W2115238236"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-10T08:33:47.465468","created_date":"2025-10-10T00:00:00"}