Sparse approximation of triangular transports. II: The infinite-dimensional case

DOI10.1007/s00365-022-09570-9OpenAlexW4220936630MaRDI QIDQ2672290

J. Zech, Youssef M. Marzouk

Publication date: 8 June 2022

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13422

zbMATH Keywords

samplingsparse approximationdomains of holomorphytransport maps

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Domains of holomorphy (32D05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Projected Wasserstein Gradient Descent for High-Dimensional Bayesian Inference ⋮ Generative Stochastic Modeling of Strongly Nonlinear Flows with Non-Gaussian Statistics ⋮ Residual-based error correction for neural operator accelerated Infinite-dimensional Bayesian inverse problems ⋮ Control of neural transport for normalising flows ⋮ Data assimilation -- mathematical foundation and applications. Abstracts from the workshop held February 20--26, 2022

Uses Software

• DLMF
• Wasserstein GAN

Cites Work

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• Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
• Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs
• Bayesian inference with optimal maps
• Error bounds for approximations with deep ReLU networks
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Partial regularity for optimal transport maps
• The Wasserstein distances between pushed-forward measures with applications to uncertainty quantification
• Sparse deterministic approximation of Bayesian inverse problems
• An Introduction to Computational Stochastic PDEs
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
• Electromagnetic wave scattering by random surfaces: Shape holomorphy
• Convergence rates of high dimensional Smolyak quadrature
• Triangular transformations of measures
• Optimal Transport

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