{"id":"https://openalex.org/W2011587642","doi":"https://doi.org/10.1109/cdc.2014.7040433","title":"Bounds for approximate dynamic programming based on string optimization and curvature","display_name":"Bounds for approximate dynamic programming based on string optimization and curvature","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2011587642","doi":"https://doi.org/10.1109/cdc.2014.7040433","mag":"2011587642"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7040433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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/A5100629029","display_name":"Yajing Liu","orcid":"https://orcid.org/0000-0001-5467-5976"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yajing Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070385137","display_name":"Edwin K. P. Chong","orcid":"https://orcid.org/0000-0002-7622-4815"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edwin K. P. Chong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028995727","display_name":"Ali Pezeshki","orcid":"https://orcid.org/0000-0002-7142-5685"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Pezeshki","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Colorado State University, Fort Collins, 80523 USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107869419","display_name":"Bill Moran","orcid":null},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Bill Moran","raw_affiliation_strings":["School of Electrical and Computer Engineering, RMIT University, Melbourne, Australia","School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne, Australia","institution_ids":["https://openalex.org/I82951845"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100629029"],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":null,"apc_paid":null,"fwci":1.0344,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79160074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"42","issue":null,"first_page":"6653","last_page":"6658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11072","display_name":"Peroxisome Proliferator-Activated Receptors","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9786999821662903,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.7771121263504028},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7492963075637817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6811058521270752},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.6764032244682312},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5827999114990234},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5711212754249573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5073675513267517},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.4952148497104645},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4419916868209839},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4342679977416992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34996742010116577}],"concepts":[{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7771121263504028},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7492963075637817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6811058521270752},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6764032244682312},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5827999114990234},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5711212754249573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5073675513267517},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.4952148497104645},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4419916868209839},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4342679977416992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34996742010116577},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7040433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W39861960","https://openalex.org/W123178497","https://openalex.org/W1514588745","https://openalex.org/W1601081659","https://openalex.org/W1680189815","https://openalex.org/W1971161781","https://openalex.org/W1989453388","https://openalex.org/W1997783781","https://openalex.org/W2011193572","https://openalex.org/W2023351415","https://openalex.org/W2033885045","https://openalex.org/W2072291569","https://openalex.org/W2098432798","https://openalex.org/W2100729440","https://openalex.org/W2110896443","https://openalex.org/W2112983578","https://openalex.org/W2113437680","https://openalex.org/W2121671791","https://openalex.org/W2121863487","https://openalex.org/W2126307323","https://openalex.org/W2132044290","https://openalex.org/W2310530842","https://openalex.org/W2487144912","https://openalex.org/W2962795549","https://openalex.org/W3104299892","https://openalex.org/W4214717370","https://openalex.org/W4248079359","https://openalex.org/W4285719527","https://openalex.org/W6676553512","https://openalex.org/W6676790880","https://openalex.org/W6678314445","https://openalex.org/W6785670422"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W2379312070","https://openalex.org/W2136173754","https://openalex.org/W2110050003","https://openalex.org/W2953025626","https://openalex.org/W2499081552","https://openalex.org/W2366053282","https://openalex.org/W1653644965","https://openalex.org/W2128788708"],"abstract_inverted_index":{"In":[0],"this":[1,74],"paper,":[2],"we":[3,76,116,128],"will":[4,117],"develop":[5],"a":[6,44,52,83,89],"systematic":[7],"approach":[8,24,48],"to":[9,50],"deriving":[10],"guaranteed":[11],"bounds":[12],"for":[13,55],"approximate":[14],"dynamic":[15],"programming":[16],"(ADP)":[17],"schemes":[18],"in":[19,38],"optimal":[20,58,62,98],"control":[21,63,99],"problems.":[22],"Our":[23],"is":[25,49,60,69,86],"inspired":[26],"by":[27,102],"our":[28,125],"recent":[29],"results":[30],"on":[31,110],"bounding":[32,126],"the":[33,57,61,66,70,94,97,111,122,135],"performance":[34,84,95],"of":[35,40,91,93,96,124,131],"greedy":[36,67],"strategies":[37],"optimization":[39],"string":[41],"functions":[42],"over":[43],"finite":[45],"horizon.":[46],"The":[47,106],"derive":[51],"string-optimization":[53],"problem,":[54],"which":[56],"strategy":[59,68],"solution":[64,81],"and":[65],"ADP":[71,80,113,132],"solution.":[72],"Using":[73],"approach,":[75],"show":[77],"that":[78,85],"any":[79],"achieves":[82],"at":[87],"least":[88],"factor":[90,107],"\u03b2":[92,108],"solution,":[100],"characterized":[101],"Bellman's":[103],"optimality":[104],"principle.":[105],"depends":[109],"specific":[112],"scheme,":[114],"as":[115],"explicitly":[118],"characterize.":[119],"To":[120],"illustrate":[121],"applicability":[123],"technique,":[127],"present":[129],"examples":[130],"schemes,":[133],"including":[134],"popular":[136],"rollout":[137],"method.":[138]},"counts_by_year":[{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}