{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T07:50:30Z","timestamp":1771573830535,"version":"3.50.1"},"reference-count":7,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T00:00:00Z","timestamp":1590969600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p>The Macaulay2 [5] package AlgebraicOptimization implements methods for determining the algebraic degree of an optimization problem. We describe the structure of an algebraic optimization problem and explain how the methods in this package may be used to determine the respective degrees. Special features include determining Euclidean distance degrees and maximum likelihood degrees. To our knowledge, this is the first comprehensive software package combining different methods in algebraic optimization. The package is available at https:\/\/github.com\/Macaulay2\/Workshop-2020-Cleveland\/tree\/ISSAC-AlgOpt\/alg-stat\/AlgebraicOptimization.<\/jats:p>","DOI":"10.1145\/3427218.3427222","type":"journal-article","created":{"date-parts":[[2020,9,29]],"date-time":"2020-09-29T22:08:58Z","timestamp":1601417338000},"page":"44-48","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Algebraic optimization degree"],"prefix":"10.1145","volume":"54","author":[{"given":"Marc","family":"H\u00e4rk\u00f6nen","sequence":"first","affiliation":[{"name":"Georgia Institute of Technology"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benjamin","family":"Hollering","sequence":"additional","affiliation":[{"name":"North Carolina State University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fatemeh Tarashi","family":"Kashani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jose Israel","family":"Rodriguez","sequence":"additional","affiliation":[{"name":"University of Wisconsin"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2020,9,29]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2018.04.016"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1353\/ajm.2006.0019"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-014-9240-x"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/bdn114"},{"key":"e_1_2_1_5_1","unstructured":"D. R. Grayson and M. E. Stillman. Macaulay2 a software system for research in algebraic geometry. Available at http:\/\/www.math.uiuc.edu\/Macaulay2\/.  D. R. Grayson and M. E. Stillman. Macaulay2 a software system for research in algebraic geometry. Available at http:\/\/www.math.uiuc.edu\/Macaulay2\/."},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-004-0156-8"},{"key":"e_1_2_1_7_1","series-title":"MOS-SIAM Ser","first-page":"203","volume-title":"Semidefinite optimization and convex algebraic geometry","author":"Rostalski P.","year":"2013","unstructured":"P. Rostalski and B. Sturmfels . Dualities . In Semidefinite optimization and convex algebraic geometry , volume 13 of MOS-SIAM Ser . Optim., pages 203 -- 249 . SIAM , Philadelphia, PA, 2013 . P. Rostalski and B. Sturmfels. Dualities. In Semidefinite optimization and convex algebraic geometry, volume 13 of MOS-SIAM Ser. Optim., pages 203--249. SIAM, Philadelphia, PA, 2013."}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3427218.3427222","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3427218.3427222","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T22:02:24Z","timestamp":1750197744000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3427218.3427222"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["10.1145\/3427218.3427222"],"URL":"https:\/\/doi.org\/10.1145\/3427218.3427222","relation":{},"ISSN":["1932-2240"],"issn-type":[{"value":"1932-2240","type":"print"}],"subject":[],"published":{"date-parts":[[2020,6]]},"assertion":[{"value":"2020-09-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}