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Integration against, and hence sampling from, high-dimensional probability distributions is of essential importance in many application areas and has been an active research area for decades.
Quadrature and interpolation formulas for tensor products of certain classes of functions
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Number-Theoretic Methods in Statistics , volume 51 of Monographs on Statistics and Applied Probability
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Explicit cost bounds of algorithms for multivariate tensor product problems
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T. Gerstner and M. Griebel · 1998
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E. Novak and K. Ritter · 1999
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E. Novak, K. Ritter, R. Schmitt, and A. Steinbauer · 1999
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Annealed importance sampling
R. M. Neal · 2001
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P. Del Moral · 2004
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Monte Carlo Statistical Methods
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Multidimensional variation for quasi-Monte Carlo
A. B. Owen · 2005
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Pattern recognition and machine learning
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P. Del Moral, A. Doucet, and A. Jasra · 2006
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Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands
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S. Meyn and R. L. Tweedie · 2009
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Optimal Transport: Old and New , volume 338 of Grundlehren der Mathematischen Wissenschaften
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Flexible variational Bayes based on a copula of a mixture of normals, 2021
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