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We show that this fact is implied by an ordering among conditional variances. We demonstrate that ordering estimates of these variances yields a simple yet state-of-the-art method for causal structure learning that is readily extendable to high-dimensional problems.<\/jats:p>","DOI":"10.1093\/biomet\/asz049","type":"journal-article","created":{"date-parts":[[2019,8,27]],"date-time":"2019-08-27T07:35:46Z","timestamp":1566891346000},"page":"973-980","source":"Crossref","is-referenced-by-count":34,"title":["On causal discovery with an equal-variance assumption"],"prefix":"10.1093","volume":"106","author":[{"given":"Wenyu","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Statistics, University of Washington, Box 354322, Seattle, Washington, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mathias","family":"Drton","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technical University of Munich, Boltzmannstra\u00dfe 3, 85748 Garching bei M\u00fcnchen, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Y Samuel","family":"Wang","sequence":"additional","affiliation":[{"name":"Booth School of Business, The University of Chicago, 5807 South Woodlawn Avenue, Chicago, Illinois, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2019,9,24]]},"reference":[{"key":"2019111117160482400_B1","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1198\/jasa.2011.tm10155","article-title":"A constrained $\\ell_1$ minimization approach to sparse precision matrix estimation","volume":"106","author":"Cai,","year":"2011","journal-title":"J. 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