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This additional flexibility, compared to many classical cubature methods, comes at a computational cost which is cubic in the number of evaluations of the integrand. It has been recently observed that fully symmetric point sets can be exploited in order to reduce\u2014in some cases substantially\u2014the computational cost of the standard Bayesian cubature method. This work identifies several additional symmetry exploits within the Bayesian cubature framework. In particular, we go beyond earlier work in considering non-symmetric measures and, in addition to the standard Bayesian cubature method, present exploits for the Bayes\u2013Sard cubature method and the multi-output Bayesian cubature method.<\/jats:p>","DOI":"10.1007\/s11222-019-09896-8","type":"journal-article","created":{"date-parts":[[2019,9,10]],"date-time":"2019-09-10T08:05:57Z","timestamp":1568102757000},"page":"1231-1248","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Symmetry exploits for Bayesian cubature methods"],"prefix":"10.1007","volume":"29","author":[{"given":"Toni","family":"Karvonen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simo","family":"S\u00e4rkk\u00e4","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chris. 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