{"id":"https://openalex.org/W4404037528","doi":"https://doi.org/10.1109/allerton63246.2024.10735290","title":"Structured Regularization for SPD Optimization with Side Information","display_name":"Structured Regularization for SPD Optimization with Side Information","publication_year":2024,"publication_date":"2024-09-24","ids":{"openalex":"https://openalex.org/W4404037528","doi":"https://doi.org/10.1109/allerton63246.2024.10735290"},"language":"en","primary_location":{"id":"doi:10.1109/allerton63246.2024.10735290","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/allerton63246.2024.10735290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 60th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-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/A5100493799","display_name":"Andrew Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Cheng","raw_affiliation_strings":["Harvard University,Cambridge,MA"],"affiliations":[{"raw_affiliation_string":"Harvard University,Cambridge,MA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034942394","display_name":"Melanie Weber","orcid":"https://orcid.org/0000-0003-1104-7181"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Melanie Weber","raw_affiliation_strings":["Harvard University,Cambridge,MA"],"affiliations":[{"raw_affiliation_string":"Harvard University,Cambridge,MA","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100493799"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.3626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68455128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.5889000296592712,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.5889000296592712,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.5236999988555908,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.521399974822998,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/computer-science","display_name":"Computer science","score":0.5345631837844849},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.46360528469085693},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26251715421676636}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5345631837844849},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.46360528469085693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26251715421676636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton63246.2024.10735290","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/allerton63246.2024.10735290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 60th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W46129499","https://openalex.org/W561072774","https://openalex.org/W1579925870","https://openalex.org/W1583837637","https://openalex.org/W1632601927","https://openalex.org/W2008418230","https://openalex.org/W2014509644","https://openalex.org/W2014937354","https://openalex.org/W2066863590","https://openalex.org/W2072184377","https://openalex.org/W2077677656","https://openalex.org/W2137853299","https://openalex.org/W2138674039","https://openalex.org/W2166334548","https://openalex.org/W2313824013","https://openalex.org/W2402588523","https://openalex.org/W2468198418","https://openalex.org/W2593094133","https://openalex.org/W2952372843","https://openalex.org/W2963167705","https://openalex.org/W2963532276","https://openalex.org/W2963704853","https://openalex.org/W2981185172","https://openalex.org/W3005282246","https://openalex.org/W3014036233","https://openalex.org/W3102317997","https://openalex.org/W3203392588","https://openalex.org/W4211128380","https://openalex.org/W4246883249","https://openalex.org/W4255333822","https://openalex.org/W4290860802","https://openalex.org/W4297822395","https://openalex.org/W6640740321","https://openalex.org/W6680293426","https://openalex.org/W6684921959","https://openalex.org/W6694978291","https://openalex.org/W6729295261","https://openalex.org/W6767919274","https://openalex.org/W6811364769"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Matrix-valued":[0],"optimization":[1,106],"tasks,":[2],"including":[3,162],"those":[4],"involving":[5],"symmetric":[6,141],"positive":[7,50],"definite":[8],"(SPD)":[9],"matrices,":[10],"arise":[11],"in":[12,18,81,100,127,159,188],"a":[13,40,135,173],"wide":[14],"range":[15],"of":[16,46,62,103,147,185],"applications":[17],"machine":[19],"learning,":[20],"data":[21],"science":[22],"and":[23,43,111,191],"statistics.":[24],"Classically,":[25],"such":[26,90],"problems":[27],"are":[28],"solved":[29],"via":[30],"constrained":[31,104],"Euclidean":[32],"optimization,":[33],"where":[34],"the":[35,44,47,63,69,95,101,145,154,160,169,183],"domain":[36],"is":[37],"viewed":[38],"as":[39,53,65,91],"Eu-clidean":[41],"space":[42],"structure":[45,158],"matrices":[48],"(e.g.,":[49],"definiteness)":[51],"enters":[52],"constraints.":[54],"More":[55],"recently,":[56],"geometric":[57],"approaches":[58],"that":[59,122,153],"leverage":[60],"parametrizations":[61],"problem":[64,171],"unconstrained":[66,175],"tasks":[67],"on":[68,94,140],"corresponding":[70],"matrix":[71],"manifold":[72],"have":[73],"been":[74],"proposed.":[75],"While":[76],"they":[77,84],"exhibit":[78],"algorithmic":[79],"benefits":[80],"many":[82],"settings,":[83],"cannot":[85],"directly":[86],"handle":[87],"additional":[88],"constraints,":[89],"side":[92],"information":[93],"solution.":[96],"A":[97],"remedy":[98],"comes":[99],"form":[102],"Riemannian":[105],"methods,":[107],"notably,":[108],"Rie-mannian":[109],"Frank-Wolfe":[110],"Projected":[112],"Gradient":[113],"Descent.":[114],"However,":[115],"both":[116],"algorithms":[117],"require":[118],"potentially":[119],"expensive":[120],"subroutines":[121],"can":[123],"introduce":[124],"computational":[125],"bottlenecks":[126],"practise.":[128],"To":[129],"mitigate":[130],"these":[131],"shortcomings,":[132],"we":[133,151],"propose":[134],"structured":[136],"regularization":[137],"approach":[138,187],"based":[139],"gauge":[142],"functions.":[143],"On":[144],"example":[146],"computing":[148],"optimistic":[149],"likelihoods,":[150],"show":[152],"regularizer":[155],"preserves":[156],"crucial":[157],"objective,":[161],"geodesic":[163],"convexity.":[164],"This":[165],"allows":[166],"for":[167],"solving":[168],"regularized":[170],"with":[172,177],"fast":[174],"method":[176],"global":[178],"optimality":[179],"certificate.":[180],"We":[181],"demonstrate":[182],"effectiveness":[184],"our":[186],"numerical":[189],"experiments":[190],"through":[192],"theoretical":[193],"analysis.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}