A Tool for Custom Construction of QMC and RQMC Point Sets
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Publication:6154305
DOI10.1007/978-3-030-98319-2_3arXiv2012.10263MaRDI QIDQ6154305
Pierre Marion, Pierre L'Ecuyer, Florian Puchhammer, Maxime Godin
Publication date: 14 February 2024
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.10263
Monte Carlo methods (65C05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)
Cites Work
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- Constructing Sobol Sequences with Better Two-Dimensional Projections
- Variance bounds and existence results for randomly shifted lattice rules
- Construction algorithms for higher order polynomial lattice rules
- Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules
- Construction of interlaced scrambled polynomial lattice rules of arbitrary high order
- Quasi-Monte Carlo methods with applications in finance
- The jackknife estimate of variance
- On the \(L_2\)-discrepancy for anchored boxes
- Scrambled net variance for integrals of smooth functions
- The discrepancy and gain coefficients of scrambled digital nets.
- Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences
- Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
- One more experiment on estimating high-dimensional integrals by quasi-Monte Carlo methods
- Hiding the weights -- CBC black box algorithms with a guaranteed error bound
- An algorithm to compute the \(t\)-value of a digital net and of its projections
- Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces
- Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules
- Good lattice rules in weighted Korobov spaces with general weights
- Component-by-component construction of good lattice rules
- An Explicit Construction of Optimal Order Quasi--Monte Carlo Rules for Smooth Integrands
- Variance Reduction via Lattice Rules
- 4. Recent advances in higher order quasi-Monte Carlo methods
- Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces
- Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions
- Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order
- Low-discrepancy point sets obtained by digital constructions over finite fields
- Latin supercube sampling for very high-dimensional simulations
- A generalized discrepancy and quadrature error bound
- Monte Carlo Variance of Scrambled Net Quadrature
- Randomized Polynomial Lattice Rules for Multivariate Integration and Simulation
- The Mean Square Discrepancy of Scrambled (t,s)-Sequences
- Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature
- Variance with alternative scramblings of digital nets
- Optimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness
- Construction algorithms for polynomial lattice rules for multivariate integration
- On Figures of Merit for Randomly-Shifted Lattice Rules
- Algorithm 823
- On the distribution of points in a cube and the approximate evaluation of integrals
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