{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T13:11:28Z","timestamp":1747055488577,"version":"3.37.3"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T00:00:00Z","timestamp":1680220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T00:00:00Z","timestamp":1680220800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Oper. Res. Forum"],"DOI":"10.1007\/s43069-023-00215-6","type":"journal-article","created":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T11:04:31Z","timestamp":1680260671000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Derivation of Coordinate Descent Algorithms from Optimal Control Theory"],"prefix":"10.1007","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0280-1576","authenticated-orcid":false,"given":"Isaac M.","family":"Ross","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,31]]},"reference":[{"key":"215_CR1","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.cam.2018.12.044","volume":"354","author":"IM Ross","year":"2019","unstructured":"Ross IM (2019) An optimal control theory for nonlinear optimization. J Comp Appl Math 354:39\u201351","journal-title":"J Comp Appl Math"},{"key":"215_CR2","volume-title":"Optimal Control","author":"RB Vinter","year":"2000","unstructured":"Vinter RB (2000) Optimal Control. Birkh\u00e4user, Boston, MA"},{"key":"215_CR3","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1002\/0471787779","volume-title":"Nonlinear Programming: Theory and Algorithms","author":"MS Bazaraa","year":"2006","unstructured":"Bazaraa MS, Sherali HD, Shetty CM (2006) Nonlinear Programming: Theory and Algorithms, 3rd edn. Wiley-Interscience, Hoboken, NJ, pp 367\u2013369","edition":"3"},{"key":"215_CR4","doi-asserted-by":"crossref","unstructured":"Sontag ED, Sussmann HJ (1996) General classes of control-Lyapunov functions. ISNM International Series of Numerical Mathematics, vol 121. Birkh\u00e4user Basel, pp 87\u201397","DOI":"10.1007\/978-3-0348-9208-7_10"},{"key":"215_CR5","doi-asserted-by":"publisher","first-page":"7456","DOI":"10.1016\/j.ifacol.2017.08.1513","volume":"50\u20131","author":"B Polyak","year":"2017","unstructured":"Polyak B, Shcherbakov P (2017) Lyapunov functions: an optimization theory perspective. IFAC PapersOnLine 50\u20131:7456\u20137461","journal-title":"IFAC PapersOnLine"},{"issue":"1","key":"215_CR6","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s10107-015-0892-3","volume":"151","author":"SJ Wright","year":"2015","unstructured":"Wright SJ (2015) Coordinate descent algorithms. Math Program 151(1):3\u201334","journal-title":"Math Program"},{"issue":"2","key":"215_CR7","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1137\/16M1080173","volume":"60","author":"L Bottou","year":"2018","unstructured":"Bottou L, Curtis FE, Nocedal J (2018) Optimization methods for large-scale machine learning. SIAM Rev 60(2):223\u2013311","journal-title":"SIAM Rev"},{"issue":"2","key":"215_CR8","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1137\/100802001","volume":"22","author":"Yu Nesterov","year":"2012","unstructured":"Nesterov Yu (2012) Efficiency of coordinate descent methods on huge-scale optimization problems. SIAM J. Opt. 22(2):341\u2013362","journal-title":"SIAM J. Opt."},{"key":"215_CR9","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1038\/nature14539","volume":"521","author":"Y Bengio","year":"2015","unstructured":"Bengio Y, LeCun Y, Hinton G (2015) Deep Learning. Nature 521:436\u2013444","journal-title":"Nature"},{"issue":"11","key":"215_CR10","doi-asserted-by":"publisher","first-page":"4526","DOI":"10.1118\/1.2789499","volume":"34","author":"J-B Thibault","year":"2007","unstructured":"Thibault J-B, Sauer KD, Bouman CA, Hsieh J (2007) A three-dimensional statistical approach to improved image quality for multislice helical CT. Med Phys 34(11):4526\u20134544","journal-title":"Med Phys"},{"issue":"2","key":"215_CR11","doi-asserted-by":"publisher","first-page":"939","DOI":"10.1109\/JIOT.2021.3111624","volume":"9","author":"H Wang","year":"2022","unstructured":"Wang H et al (2022) A comprehensive survey on training acceleration for large machine learning models in IoT. IEEE Internet Things J 9(2):939\u2013963","journal-title":"IEEE Internet Things J"},{"key":"215_CR12","doi-asserted-by":"crossref","unstructured":"Ifrim G, Carsten\u00a0W (2011) Bounded coordinate-descent for biological sequence classification in high dimensional predictor space. Proceedings in 17th ACM SIGKDD Intl. Conf. on knowledge discovery and data mining, KDD, pp 708\u2013716","DOI":"10.1145\/2020408.2020519"},{"key":"215_CR13","volume-title":"A Primer on Pontryagin\u2019s Principle in Optimal Control","author":"IM Ross","year":"2015","unstructured":"Ross IM (2015) A Primer on Pontryagin\u2019s Principle in Optimal Control, 2nd edn. Collegiate Publishers, San Francisco, CA","edition":"2"},{"issue":"3","key":"215_CR14","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1023\/A:1022607507153","volume":"92","author":"BS Goh","year":"1997","unstructured":"Goh BS (1997) Algorithms for unconstrained optimization via control theory. J Optim Theory Appl 92(3):581\u2013604","journal-title":"J Optim Theory Appl"},{"issue":"1","key":"215_CR15","doi-asserted-by":"publisher","first-page":"45","DOI":"10.3934\/naco.2020014","volume":"11","author":"MS Lee","year":"2021","unstructured":"Lee MS, Harno HG, Goh BS, Lim KH (2021) On the bang-bang control approach via a component-wise line search strategy for unconstrained optimization. Numerical Algebra, Control and Optimization 11(1):45\u201361","journal-title":"Numerical Algebra, Control and Optimization"},{"key":"215_CR16","doi-asserted-by":"crossref","unstructured":"Clarke F (2004) Lyapunov functions and feedback in nonlinear control. In: de Queiroz MS, Malisoff M, Wolenski P (eds) Optimal control, stabilization and nonsmooth analysis. Lecture Notes in Control and Information Science, vol 301. Springer, Berlin, Heidelberg, pp 267\u2013282","DOI":"10.1007\/978-3-540-39983-4_17"},{"key":"215_CR17","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718669","volume-title":"Control Perspectives on Numerical Algorithms and Matrix Problems","author":"A Bhaya","year":"2006","unstructured":"Bhaya A, Kaszkurewicz E (2006) Control Perspectives on Numerical Algorithms and Matrix Problems. SIAM, Philadelphia, PA"},{"key":"215_CR18","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal J, Wright S (2006) Numerical Optimization, 2nd edn. Springer, New York, NY","edition":"2"},{"key":"215_CR19","volume-title":"Convex Analysis and Minimization Algorithms I","author":"J-B Hiriart-Urruty","year":"1996","unstructured":"Hiriart-Urruty J-B, Lemar\u00e9chal C (1996) Convex Analysis and Minimization Algorithms I. Springer-Verlag, Berlin Heidelberg GmbH"},{"key":"215_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-31256-9","volume-title":"Convex Analysis and Nonlinear Optimization: Theory and Examples","author":"J Borwein","year":"2006","unstructured":"Borwein J, Lewis A (2006) Convex Analysis and Nonlinear Optimization: Theory and Examples, 2nd edn. Springer, New York, N.Y","edition":"2"},{"key":"215_CR21","volume-title":"Convex Optimization","author":"S Boyd","year":"2009","unstructured":"Boyd S, Vandenberghe L (2009) Convex Optimization. Cambridge University Press, Cambridge, UK"},{"key":"215_CR22","unstructured":"Davidon WC (1991) Variable metric method for minimization, SIAM J. optimization, 1\/1, pp.\u00a01\u201317 (originally published as Argonne National Laboratory Research and Development Report 5990, May 1959; revised November 1959)"}],"container-title":["Operations Research Forum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s43069-023-00215-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s43069-023-00215-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s43069-023-00215-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T12:04:08Z","timestamp":1688385848000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s43069-023-00215-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,31]]},"references-count":22,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,6]]}},"alternative-id":["215"],"URL":"https:\/\/doi.org\/10.1007\/s43069-023-00215-6","relation":{},"ISSN":["2662-2556"],"issn-type":[{"type":"electronic","value":"2662-2556"}],"subject":[],"published":{"date-parts":[[2023,3,31]]},"assertion":[{"value":"26 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 March 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author declares no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}],"article-number":"31"}}