{"id":"https://openalex.org/W3011390202","doi":"https://doi.org/10.1109/cdc40024.2019.9029387","title":"AnySOS: An anytime algorithm for SOS programming","display_name":"AnySOS: An anytime algorithm for SOS programming","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011390202","doi":"https://doi.org/10.1109/cdc40024.2019.9029387","mag":"3011390202"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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/A5036951521","display_name":"Derek Driggs","orcid":"https://orcid.org/0000-0003-1582-5884"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Derek Driggs","raw_affiliation_strings":["Applied Mathematics and Theoretical Physics, University of Cambridge"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Theoretical Physics, University of Cambridge","institution_ids":["https://openalex.org/I4210131439","https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017261970","display_name":"Hamza Fawzi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Hamza Fawzi","raw_affiliation_strings":["Applied Mathematics and Theoretical Physics, University of Cambridge"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Theoretical Physics, University of Cambridge","institution_ids":["https://openalex.org/I4210131439","https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036951521"],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210131439"],"apc_list":null,"apc_paid":null,"fwci":0.322,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5871801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"3012","last_page":"3017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9973999857902527,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9939000010490417,"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/computer-science","display_name":"Computer science","score":0.6937848329544067},{"id":"https://openalex.org/keywords/certificate","display_name":"Certificate","score":0.6378843784332275},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.6088154911994934},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5806348919868469},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5135576725006104},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.47258460521698},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.44075509905815125},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3715222477912903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18275445699691772},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08546054363250732}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6937848329544067},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.6378843784332275},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.6088154911994934},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5806348919868469},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5135576725006104},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.47258460521698},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.44075509905815125},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3715222477912903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18275445699691772},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08546054363250732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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":23,"referenced_works":["https://openalex.org/W1861508522","https://openalex.org/W1965103549","https://openalex.org/W1967344706","https://openalex.org/W2004902288","https://openalex.org/W2008164266","https://openalex.org/W2051142108","https://openalex.org/W2076486048","https://openalex.org/W2133404041","https://openalex.org/W2166798101","https://openalex.org/W2167732364","https://openalex.org/W2288174618","https://openalex.org/W2624196447","https://openalex.org/W2963326979","https://openalex.org/W2963530480","https://openalex.org/W2964274591","https://openalex.org/W3098821990","https://openalex.org/W3100916622","https://openalex.org/W6651747718","https://openalex.org/W6679392325","https://openalex.org/W6688696877","https://openalex.org/W6738785343","https://openalex.org/W6784520952","https://openalex.org/W6785084490"],"related_works":["https://openalex.org/W2493494838","https://openalex.org/W2963700124","https://openalex.org/W2624196447","https://openalex.org/W2077924482","https://openalex.org/W4297923520","https://openalex.org/W2771160919","https://openalex.org/W4301659259","https://openalex.org/W4298028631","https://openalex.org/W1571037741","https://openalex.org/W2762005921"],"abstract_inverted_index":{"We":[0,88],"introduce":[1],"AnySOS,":[2],"an":[3,6,22],"implementation":[4],"of":[5,8,31,92],"algorithm":[7,20,55,94],"Renegar":[9],"for":[10,26,51,66,109],"solving":[11],"sum-of-squares":[12,52,111],"(SOS)":[13],"programs":[14],"arising":[15],"in":[16],"control":[17],"applications.":[18],"Renegar's":[19],"is":[21,39,48],"efficient":[23],"first-order":[24,37],"method":[25],"general":[27],"semidefinite":[28],"programs.":[29],"One":[30],"its":[32],"key":[33],"features,":[34],"unlike":[35],"other":[36,107],"methods,":[38],"that":[40,101],"it":[41,102],"produces":[42],"feasible":[43],"iterates":[44],"throughout":[45],"execution.":[46],"This":[47],"particularly":[49],"important":[50],"applications:":[53],"the":[54,67,90],"can":[56,76],"be":[57,77],"stopped":[58],"anytime":[59],"and":[60,72,82,99],"still":[61],"return":[62],"a":[63],"valid":[64],"certificate/proof":[65],"underlying":[68],"system.":[69],"For":[70],"critical":[71],"real-time":[73],"applications":[74],"this":[75,93],"used":[78],"to":[79],"trade-off":[80],"accuracy":[81],"running":[83],"time,":[84],"without":[85],"compromising":[86],"safety.":[87],"demonstrate":[89],"applicability":[91],"on":[95],"some":[96],"illustrative":[97],"examples":[98],"show":[100],"compares":[103],"very":[104],"favourably":[105],"with":[106],"methods":[108],"large-scale":[110],"programming.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
