{"id":"https://openalex.org/W4392595524","doi":"https://doi.org/10.1051/ro/2024060","title":"Abstract generalized epsilon-descent algorithm","display_name":"Abstract generalized epsilon-descent algorithm","publication_year":2024,"publication_date":"2024-03-08","ids":{"openalex":"https://openalex.org/W4392595524","doi":"https://doi.org/10.1051/ro/2024060"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024060","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024060","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220768.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"conference-abstract","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220768.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023329363","display_name":"Est\u00e9fany Castillo Ventura","orcid":"https://orcid.org/0000-0001-6502-2356"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Estefany Castillo Ventura","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6502-2356","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013699020","display_name":"Erik Alex Papa Quiroz","orcid":"https://orcid.org/0000-0002-8678-6918"},"institutions":[{"id":"https://openalex.org/I65285256","display_name":"Pontificia Universidad Cat\u00f3lica del Per\u00fa","ror":"https://ror.org/00013q465","country_code":"PE","type":"education","lineage":["https://openalex.org/I65285256"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Erik Alex Papa Quiroz","raw_affiliation_strings":["Pontificia Universidad Cat\u00f3lica del Per\u00fa , Departamento Acad\u00e9mico de Ciencias , San Miguel , Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pontificia Universidad Cat\u00f3lica del Per\u00fa , Departamento Acad\u00e9mico de Ciencias , San Miguel , Peru","institution_ids":["https://openalex.org/I65285256"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"4","first_page":"3417","last_page":"3438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"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/descent","display_name":"Descent (aeronautics)","score":0.6025787591934204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5374428033828735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4702065587043762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37149038910865784},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14639323949813843}],"concepts":[{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.6025787591934204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5374428033828735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4702065587043762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37149038910865784},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14639323949813843},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2024060","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024060","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220768.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2024060","is_oa":true,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2024060/pdf","pdf_url":"https://www.rairo-ro.org/10.1051/ro/2024060/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2024060","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2024060","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024060","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220768.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G7743542961","display_name":null,"funder_award_id":"PCONFIGI PROJECT B23141311","funder_id":"https://openalex.org/F4320325373","funder_display_name":"Universidad Nacional Mayor de San Marcos"}],"funders":[{"id":"https://openalex.org/F4320325373","display_name":"Universidad Nacional Mayor de San Marcos","ror":"https://ror.org/006vs7897"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392595524.pdf","grobid_xml":"https://content.openalex.org/works/W4392595524.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1545761024","https://openalex.org/W1550635507","https://openalex.org/W1959749429","https://openalex.org/W1967138577","https://openalex.org/W1968447369","https://openalex.org/W1987964049","https://openalex.org/W2004160833","https://openalex.org/W2006262045","https://openalex.org/W2039031367","https://openalex.org/W2047515743","https://openalex.org/W2055326668","https://openalex.org/W2077612096","https://openalex.org/W2129732816","https://openalex.org/W2201384637","https://openalex.org/W2405803404","https://openalex.org/W2790759438","https://openalex.org/W2906821200","https://openalex.org/W2913806414","https://openalex.org/W2963433607","https://openalex.org/W2963967579","https://openalex.org/W2980429560","https://openalex.org/W3035192576","https://openalex.org/W3131412888","https://openalex.org/W4210605524","https://openalex.org/W4225275525","https://openalex.org/W4236384742","https://openalex.org/W4313353756"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2486267010","https://openalex.org/W1979597421","https://openalex.org/W4298096494","https://openalex.org/W2007980826","https://openalex.org/W1678820847","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104"],"abstract_inverted_index":{"Given":[0],"the":[1,24,47,55,64,76,80,91],"problem":[2],"of":[3,75,90],"minimizing":[4],"a":[5,12,18],"possibly":[6],"nonconvex":[7],"and":[8],"nonsmooth":[9],"function":[10,65],"in":[11],"real":[13],"Hilbert":[14],"space,":[15],"we":[16,42,69],"present":[17],"generalized":[19,86],"epsilon-descent":[20],"algorithm":[21],"motivated":[22],"from":[23],"abstract":[25],"descent":[26,49],"method":[27],"introduced":[28],"by":[29,79],"Attouch":[30],"et":[31],"al.":[32],"[Math.":[33],"Program.":[34],"137":[35],"(2013)":[36],"91\u2013129]":[37],"with":[38],"two":[39],"essential":[40],"additions,":[41],"consider":[43],"scalar":[44],"errors":[45],"on":[46,54,63],"sufficient":[48],"condition,":[50],"as":[51],"well":[52],"as,":[53],"relative":[56],"inexact":[57],"optimality":[58],"condition.":[59],"Under":[60],"general":[61],"conditions":[62],"to":[66],"be":[67],"minimized,":[68],"obtain":[70],"that":[71],"all":[72],"accumulation":[73],"points":[74,89],"sequences":[77],"generated":[78],"algorithm,":[81],"if":[82],"they":[83],"exist,":[84],"are":[85],"critical":[87],"limit":[88],"objective":[92],"function.":[93]},"counts_by_year":[],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
