On the expected \(\mathcal{L}_2\)-discrepancy of jittered sampling
From MaRDI portal
Publication:6169854
DOI10.2478/udt-2023-0005arXiv2208.08924OpenAlexW4385730063MaRDI QIDQ6169854
Florian Pausinger, Nathan Kirk
Publication date: 15 August 2023
Published in: Uniform Distribution Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.08924
star-discrepancyjittered sampling\(\mathcal{L}_2\)-discrepancyHickernell \(\mathcal{L}_2\)-discrepancy
Partitions of sets (05A18) Combinatorial probability (60C05) Irregularities of distribution, discrepancy (11K38)
Cites Work
- Bounds for the weighted \(L^p\) discrepancy and tractability of integration
- Funktionen von beschränkter Variation in der Theorie der Gleichverteilung
- A Koksma-Hlawka inequality for general discrepancy systems
- Finding optimal volume subintervals with \( k\) points and calculating the star discrepancy are NP-hard problems
- On the \(L_2\)-discrepancy for anchored boxes
- An exact formula for the \(L_2\) discrepancy of the symmetrized Hammersley point set
- Discrepancy of stratified samples from partitions of the unit cube
- On a partition with a lower expected \(\mathcal{L}_2\)-discrepancy than classical jittered sampling
- Computing discrepancies of Smolyak quadrature rules
- Monte Carlo and quasi-Monte Carlo sampling
- The mean square discrepancy of randomized nets
- A generalized discrepancy and quadrature error bound
- Efficient algorithms for computing the $L_2$-discrepancy
- A sharp discrepancy bound for jittered sampling
- Calculation of Discrepancy Measures and Applications
- On functions of bounded variation
- Introduction to Quasi-Monte Carlo Integration and Applications
- Some applications of multidimensional integration by parts
- Geometric discrepancy. An illustrated guide
- On the discrepancy of jittered sampling
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the expected \(\mathcal{L}_2\)-discrepancy of jittered sampling
