Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces | Paper Citation Record

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi-monte carlo feature maps for shift-invariant kernels

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces On the optimality of linear methods for operator approximation in convex classes of functions

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces The Gaussian wave packet transform via quadrature rules

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Sparse grids

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Sparse quadrature for high-dimensional integration with Gaussian measure

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces High-Dimensional Adaptive Sparse Polynomial Inter- polation and Applications to Parametric PDEs

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Multilevel and quasi-Monte Carlo methods for uncertainty quantification in particle travel times through random heterogeneous porous media

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces On the Optimal Order of Integra- tion in Hermite Spaces with Finite Smoothness

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces High-dimensional integration: The quasi-Monte carlo way

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Dick and F

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Optimal numerical integration and approximation of functions on Rd equipped with Gaussian measure

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces D˜ ung, V

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Multidimensional projection filters via automatic dif- ferentiation and sparse-grid integration

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Learning to Integrate

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces On Expansions and Nodes for Sparse Grid Col- location of Lognormal Elliptic PDEs

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Numerical Simulation for Asset-Liability Management in Life Insurance

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Glasserman

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Countable tensor products of Hermite spaces and spaces of Gaussian kernels

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Infinite-dimensional integration and L2-approximation on Hermite spaces

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Recent advances in higher order quasi-Monte Carlo methods

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Optimal Order Quadrature Error Bounds for Infinite- Dimensional Higher-Order Digital Sequences

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi- Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quadrature error bounds with applications to lattice rules

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Derivative polynomials for tangent and secant

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Integration in Hermite spaces of analytic functions

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Gaussian filters for nonlinear filtering problems

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi-Monte Carlo methods for lattice systems: A first look

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Sparse Gauss-Hermite Quadrature Filter with Application to Spacecraft Attitude Estimation

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Fast approximation by pe- riodic kernel-based lattice-point interpolation with application in uncertainty quantification

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi–Monte Carlo integration with product weights for elliptic PDEs with log- normal coefficients

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Suboptimality of Gauss–Hermite quadrature and op- timality of the trapezoidal rule for functions with finite smoothness

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi-Monte Carlo sampling method for simulation-based dynamic probabilistic risk assessment of nuclear power plants

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quasi-Monte Carlo methods with applications in finance

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces PDE-Constrained Optimal Control Problems with Uncertain Pa- rameters using SAGA

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Enhancing Accuracy of Deep Learning Algorithms by Training with Low-Discrepancy Sequences

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Fast CBC construction of randomly shifted lattice rules achieving convergence for unbounded integrands over in weighted spaces with POD weights

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Low-discrepancy and low-dispersion sequences

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Low-discrepancy sequences and global function fields with many rational places

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Niederreiter

Reference 52

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Novak and H

Reference 53

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Novak and H

Reference 54

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This paper cites Scaled lattice rules for integration on Rd achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces.

Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Scaled lattice rules for integration on Rd achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces

Reference 55

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Multiple sparse-grid Gauss– Hermite filtering

Reference 56

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Reed and B

Reference 57

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces A Multi-Index Quasi–Monte Carlo Algorithm for Lognormal Diffusion Problems

Reference 58

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces When are quasi-monte carlo algorithms efficient for high dimensional integrals?

Reference 59

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

Reference 60

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Quadrature and interpolation formulas for tensor products of certain classes of functions

Reference 61

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Distribution of points in a cube and approximate evaluation of integrals

Reference 62

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Optimality of the double exponential formula – functional analysis approach –

Reference 63

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces M¨ obius-transformed trapezoidal rule

Reference 64

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Explicit Cost Bounds of Algorithms for Multivari- ate Tensor Product Problems

Reference 65

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces On sparse grid interpolation for American option pricing with multiple underlying assets

Reference 66

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

Reference 102

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

Reference 707

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

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Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces Unresolved cited work

Reference 1198

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