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For each architecture, we provide its mathematical formulation, the ideas underlying its design, a detailed model description, a running implementation and quantitative results.<\/jats:p>","DOI":"10.1007\/s42979-021-00702-9","type":"journal-article","created":{"date-parts":[[2021,5,27]],"date-time":"2021-05-27T06:02:37Z","timestamp":1622095357000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":80,"title":["A Survey on Variational Autoencoders from a Green AI Perspective"],"prefix":"10.1007","volume":"2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9677-6350","authenticated-orcid":false,"given":"Andrea","family":"Asperti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Davide","family":"Evangelista","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elena","family":"Loli Piccolomini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,5,27]]},"reference":[{"key":"702_CR1","unstructured":"Alemi AA, Poole B, Fischer I, Dillon JV, Saurous RA, Murphy K. 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