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This framework provides a unifying approach to match and improve all known results in D\/A\/E-design and to obtain new results in previously unknown settings. For combinatorial algorithms, we provide a new analysis of the classical Fedorov's exchange method. We prove that this simple local search algorithm works well as long as there exists an almost optimal solution with good condition number. Moreover, we design a new combinatorial local search algorithm for E-design using the regret minimization framework. For rounding algorithms, we provide a unified randomized exchange algorithm to match and improve previous results for D\/A\/E-design. Furthermore, the algorithm works in the more general setting to approximately satisfy multiple knapsack constraints, which can be used for weighted experimental design and for incorporating fairness constraints into experimental design.<\/jats:p>","DOI":"10.1137\/20m1386542","type":"journal-article","created":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T15:20:53Z","timestamp":1657207253000},"page":"900-951","source":"Crossref","is-referenced-by-count":7,"title":["A Local Search Framework for Experimental Design"],"prefix":"10.1137","volume":"51","author":[{"given":"Lap Chi","family":"Lau","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0784-4073","authenticated-orcid":true,"given":"Hong","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2022,7,7]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1145\/2746539.2746610"},{"key":"atypb2","first-page":"126","volume-title":"Proceedings of the 34th International Conference on Machine Learning","author":"Allen-Zhu Z.","year":"2017"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01464-2"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022821128753"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198522546.001.0001"},{"key":"atypb6","volume-title":"Oxford Statist. 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