{"id":"https://openalex.org/W7204552668","doi":"https://doi.org/10.13140/rg.2.2.19530.12483","title":"Envelopt: Constrained Convex Composite Optimization","display_name":"Envelopt: Constrained Convex Composite Optimization","publication_year":2026,"publication_date":"2026-08-25","ids":{"openalex":"https://openalex.org/W7204552668","doi":"https://doi.org/10.13140/rg.2.2.19530.12483"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29521","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29521","pdf_url":"https://arxiv.org/pdf/2609.29521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.29521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069602662","display_name":"Alberto De Marchi","orcid":"https://orcid.org/0000-0002-3545-6898","observed_orcids":["https://orcid.org/0000-0002-3545-6898"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alberto De Marchi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5027758717","display_name":"Dominique Orban","orcid":"https://orcid.org/0000-0002-8017-7687","observed_orcids":["https://orcid.org/0000-0002-8017-7687"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dominique Orban","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5419999957084656,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5419999957084656,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.42239999771118164,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.022199999541044235,"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/constrained-convex-optimization","display_name":"constrained convex optimization","score":0.7799999713897705},{"id":"https://openalex.org/keywords/composite-optimization","display_name":"composite optimization","score":0.953000009059906},{"id":"https://openalex.org/keywords/optimization-software","display_name":"optimization software","score":0.42399999499320984}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4465000033378601},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42410001158714294},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4131999909877777},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.40689998865127563},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37619999051094055},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3723999857902527},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2921000123023987},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.289000004529953},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.26249998807907104},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.25870001316070557},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2574000060558319},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.250900000333786},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.2508000135421753},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.25}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2609.29521","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29521","pdf_url":"https://arxiv.org/pdf/2609.29521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.29521","doi":"https://doi.org/10.48550/arxiv.2609.29521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.13140/rg.2.2.19530.12483","doi":"https://doi.org/10.13140/rg.2.2.19530.12483","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.19530.12483","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.29521","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29521","pdf_url":"https://arxiv.org/pdf/2609.29521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2271590008","display_name":null,"funder_award_id":"RGPIN 2020","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204552668.pdf","grobid_xml":"https://content.openalex.org/works/W7204552668.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4319459406","https://openalex.org/W3125897846","https://openalex.org/W2962956186","https://openalex.org/W4317832278","https://openalex.org/W4411510967","https://openalex.org/W4411123948","https://openalex.org/W7163169216","https://openalex.org/W3049647307","https://openalex.org/W2572455488","https://openalex.org/W2974395958"],"abstract_inverted_index":{"We":[0,102,121,163],"introduce":[1],"Envelopt,":[2],"a":[3,9,17,23,29,62,165],"globally":[4],"convergent":[5],"iterative":[6],"framework":[7,140],"for":[8,154],"broad":[10],"class":[11],"of":[12,73,88,171,193],"structured":[13],"optimization":[14,100],"problems":[15],"where":[16],"smooth":[18,30,39,42,67,99],"objective":[19],"is":[20,49,91,131,133],"augmented":[21,144],"by":[22],"nonsmooth":[24,75],"convex":[25],"regularizer":[26,90],"composed":[27],"with":[28,59,97,177],"mapping,":[31],"and":[32,77,115,132,147,160,185,191],"the":[33,70,74,78,85,89,128,142,172,189],"variables":[34],"are":[35,81,112],"subject":[36],"to":[37,51,61],"general":[38],"constraints.":[40,162],"All":[41],"functions":[43],"may":[44,94],"be":[45,95],"nonconvex.":[46],"The":[47,139],"method":[48,54,146],"akin":[50],"an":[52,117],"augmented-Lagrangian":[53],"in":[55,66],"which":[56],"partial":[57],"minimization":[58],"respect":[60],"lifting":[63],"variable":[64],"results":[65],"subproblems":[68],"involving":[69],"Moreau":[71],"envelope":[72],"regularizer,":[76],"original":[79],"constraints":[80],"retained":[82],"explicitly.":[83],"Only":[84],"proximal":[86],"operator":[87],"required.":[92],"Subproblems":[93],"solved":[96],"off-the-shelf":[98],"solvers.":[101],"state":[103],"global":[104],"convergence":[105],"properties,":[106],"establish":[107],"that":[108],"feasible":[109],"limit":[110],"points":[111],"asymptotically":[113],"stationary,":[114],"develop":[116],"infeasibility":[118],"detection":[119],"mechanism.":[120],"derive":[122],"worst-case":[123],"iteration":[124],"complexity":[125],"bounds":[126],"when":[127],"penalty":[129,158],"parameter":[130],"not":[134],"bounded":[135],"away":[136],"from":[137],"zero.":[138],"subsumes":[141],"classical":[143],"Lagrangian":[145],"accommodates":[148],"important":[149],"extensions,":[150],"including":[151],"stabilized":[152],"formulations":[153],"degenerate":[155],"problems,":[156],"exact":[157],"methods,":[159],"conic":[161],"provide":[164],"Julia":[166],"implementation,":[167],"Envelopt.jl,":[168],"as":[169],"part":[170],"JuliaSmoothOptimizers":[173],"ecosystem.":[174],"Numerical":[175],"experiments":[176],"low-rank":[178],"matrix":[179],"completion,":[180],"semidefinite":[181],"programming,":[182],"complementarity-constrained":[183],"optimization,":[184],"nonconvex":[186],"regularizers":[187],"demonstrate":[188],"effectiveness":[190],"versatility":[192],"Envelopt.":[194]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-08-29T00:00:00"}
