{"id":"https://openalex.org/W7131615180","doi":"https://doi.org/10.48550/arxiv.2602.21352","title":"An accelerated rearrangement method for two-phase composite optimization","display_name":"An accelerated rearrangement method for two-phase composite optimization","publication_year":2026,"publication_date":"2026-02-24","ids":{"openalex":"https://openalex.org/W7131615180","doi":"https://doi.org/10.48550/arxiv.2602.21352"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.21352","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126904505","display_name":"Chiu-Yen Kao","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kao, Chiu-Yen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061788852","display_name":"Seyyed Abbas Mohammadi","orcid":"https://orcid.org/0000-0002-3339-4929"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohammadi, Seyyed Abbas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5122400038","display_name":"Braxton Osting","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Osting, Braxton","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126904505"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.2930999994277954,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.2930999994277954,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.18209999799728394,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.07039999961853027,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6366000175476074},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6062999963760376},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.5691999793052673},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5274999737739563},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5250999927520752},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.40959998965263367},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.39890000224113464}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6486999988555908},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6366000175476074},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6062999963760376},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5691999793052673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5626000165939331},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.527999997138977},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5274999737739563},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5250999927520752},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.40959998965263367},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3237000107765198},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.28110000491142273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26589998602867126},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.2581000030040741}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.21352","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.21352","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.21352","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.21352","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,71],"propose":[1],"and":[2,35,94,109,116],"analyze":[3],"an":[4],"Accelerated":[5],"Rearrangement":[6],"Method":[7],"(ARM)":[8],"for":[9,92],"solving":[10],"a":[11,28,41,67,74],"class":[12],"of":[13,27,40,81],"nonconvex":[14],"optimization":[15],"problems":[16,21],"involving":[17],"two-phase":[18],"composites.":[19],"These":[20],"include":[22],"maximizing":[23],"the":[24,32,37,52,62,82,100,113],"(work)":[25],"energy":[26],"membrane":[29],"governed":[30],"by":[31,60],"Poisson":[33],"equation":[34],"minimizing":[36],"principal":[38],"eigenvalue":[39],"weighted":[42],"Dirichlet-Laplacian,":[43],"both":[44,107],"subject":[45],"to":[46,66],"material":[47],"distribution":[48],"constraints.":[49],"Building":[50],"on":[51],"classical":[53,101],"rearrangement":[54,102],"method,":[55],"we":[56,87],"introduce":[57,73],"momentum-like":[58],"acceleration":[59],"extrapolating":[61],"Fr\u00e9chet":[63],"derivative,":[64],"leading":[65],"provably":[68],"convergent":[69],"algorithm.":[70],"also":[72],"restarted":[75],"variant":[76],"that":[77,96],"guarantees":[78],"monotonic":[79],"improvement":[80],"objective.":[83],"In":[84],"one":[85],"dimension,":[86],"derive":[88],"asymptotic":[89],"convergence":[90,115],"rates":[91],"ARM":[93],"prove":[95],"they":[97],"improve":[98],"upon":[99],"method.":[103],"Numerical":[104],"experiments":[105],"in":[106],"two":[108],"three":[110],"dimensions":[111],"confirm":[112],"accelerated":[114],"demonstrate":[117],"practical":[118],"efficiency.":[119]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-27T00:00:00"}
