{"id":"https://openalex.org/W7147129531","doi":"https://doi.org/10.1137/25m1775506","title":"On the Convergence of the Iterative Regularization Method Assisted by the Graph Laplacian with Early Stopping","display_name":"On the Convergence of the Iterative Regularization Method Assisted by the Graph Laplacian with Early Stopping","publication_year":2026,"publication_date":"2026-04-02","ids":{"openalex":"https://openalex.org/W7147129531","doi":"https://doi.org/10.1137/25m1775506"},"language":"en","primary_location":{"id":"doi:10.1137/25m1775506","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1775506","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5020189950","display_name":"Harshit Bajpai","orcid":"https://orcid.org/0000-0002-6811-9361"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Harshit Bajpai","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003314698","display_name":"Gaurav Mittal","orcid":"https://orcid.org/0000-0002-5761-4287"},"institutions":[{"id":"https://openalex.org/I4210088856","display_name":"Laser Science & Technology Centre","ror":"https://ror.org/004tnhr10","country_code":"IN","type":"facility","lineage":["https://openalex.org/I1340206300","https://openalex.org/I2799351866","https://openalex.org/I4210088856","https://openalex.org/I4210150591"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gaurav Mittal","raw_affiliation_strings":["Defence Research and Development Organization, Near Metcalfe House, Delhi 110054, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Defence Research and Development Organization, Near Metcalfe House, Delhi 110054, India","institution_ids":["https://openalex.org/I4210088856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057291385","display_name":"Ankik Kumar Giri","orcid":"https://orcid.org/0000-0002-6339-4647"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ankik Kumar Giri","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"],"raw_orcid":"https://orcid.org/0000-0002-6339-4647","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India","institution_ids":["https://openalex.org/I154851008"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49393617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"2","first_page":"643","last_page":"676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.8745999932289124,"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":0.8745999932289124,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.00989999994635582,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.009200000204145908,"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/regularization","display_name":"Regularization (linguistics)","score":0.5647000074386597},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5121999979019165},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5067999958992004},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4846000075340271},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.47780001163482666},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4244999885559082},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.27140000462532043}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5647000074386597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5612999796867371},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5121999979019165},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5067999958992004},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4846000075340271},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.47780001163482666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4693000018596649},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4244999885559082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4020000100135803},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3650999963283539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34200000762939453},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C203269682","wikidata":"https://www.wikidata.org/wiki/Q7116898","display_name":"p-Laplacian","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C99888217","wikidata":"https://www.wikidata.org/wiki/Q1288707","display_name":"Stopping time","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.2612999975681305},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C5134670","wikidata":"https://www.wikidata.org/wiki/Q1626444","display_name":"Cut","level":4,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/25m1775506","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1775506","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1197467691","display_name":null,"funder_award_id":"CRG/2022/00549","funder_id":"https://openalex.org/F4320306227","funder_display_name":"Arthritis National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320306227","display_name":"Arthritis National Research Foundation","ror":"https://ror.org/03abbex33"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1564864701","https://openalex.org/W1570089119","https://openalex.org/W1591486509","https://openalex.org/W1859434065","https://openalex.org/W1895520453","https://openalex.org/W2019248995","https://openalex.org/W2023206259","https://openalex.org/W2036254006","https://openalex.org/W2037521346","https://openalex.org/W2058966142","https://openalex.org/W2060945009","https://openalex.org/W2080888649","https://openalex.org/W2086600055","https://openalex.org/W2091494211","https://openalex.org/W2112575052","https://openalex.org/W2114424556","https://openalex.org/W2133665775","https://openalex.org/W2292757513","https://openalex.org/W2320596590","https://openalex.org/W2558748708","https://openalex.org/W2573726823","https://openalex.org/W2949128855","https://openalex.org/W2952020389","https://openalex.org/W2976576775","https://openalex.org/W3002289736","https://openalex.org/W3013097980","https://openalex.org/W3028233350","https://openalex.org/W3046122974","https://openalex.org/W3046901592","https://openalex.org/W3134296671","https://openalex.org/W3210004527","https://openalex.org/W4205708482","https://openalex.org/W4229650096","https://openalex.org/W4234704384","https://openalex.org/W4246327874","https://openalex.org/W4310444425","https://openalex.org/W4376288907","https://openalex.org/W4376456616","https://openalex.org/W4402513181","https://openalex.org/W4404768147","https://openalex.org/W4405209743","https://openalex.org/W4408912036"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2026-04-02T00:00:00"}
