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Our techniques apply to a large class of distributions including the exponential family, and establish a rigorous connection between sample amplification and distribution learning.<\/jats:p>","DOI":"10.1214\/24-aos2444","type":"journal-article","created":{"date-parts":[[2024,12,19]],"date-time":"2024-12-19T01:23:07Z","timestamp":1734571387000},"page":"2767-2790","source":"Crossref","is-referenced-by-count":0,"title":["On the statistical complexity of sample amplification"],"prefix":"10.1214","volume":"52","author":[{"given":"Brian","family":"Axelrod","sequence":"first","affiliation":[{"name":"Department of Computer Science, Stanford University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shivam","family":"Garg","sequence":"additional","affiliation":[{"name":"Microsoft Research"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanjun","family":"Han","sequence":"additional","affiliation":[{"name":"Courant Institute of Mathematical Sciences and Center for Data Science, New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vatsal","family":"Sharan","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Southern California"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gregory","family":"Valiant","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Stanford University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"108","reference":[{"key":"33","doi-asserted-by":"publisher","unstructured":"<small>Le Cam, L.<\/small> (1986). <i>Asymptotic Methods in Statistical Decision Theory<\/i>. <i>Springer Series in Statistics<\/i>. 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