Kashkan, Kirill A new construction of forests with low visibility. (English) Zbl 07983197 Mathematika 71, No. 2, Article ID e70013, 8 p. (2025). MSC: 11B05 11K38 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weiss, Christian On the discrepancy of low-dimensional probability measures. (English) Zbl 07939845 Theory Probab. Math. Stat. 111, 199-209 (2024). Reviewer: Peter Kritzer (Linz) MSC: 11K38 60B10 28A12 11J71 11K06 × Cite Format Result Cite Review PDF Full Text: DOI
Bilyk, Dmitriy; Mastrianni, Michelle; Steinerberger, Stefan Single radius spherical cap discrepancy via gegenbadly approximable numbers. (English) Zbl 1547.52011 Adv. Math. 452, Article ID 109812, 18 p. (2024). MSC: 52A40 11K38 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferizović, Damir Spherical cap discrepancy of perturbed lattices under the Lambert projection. (English) Zbl 07851505 Discrete Comput. Geom. 71, No. 4, 1352-1368 (2024). Reviewer: Anton Shutov (Vladimir) MSC: 11K38 52C99 52A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chatterjee, Kashinath; Liu, Min-Qian; Qin, Hong; Yang, Liuqing Construction of optimal mixed-level uniform designs. (English) Zbl 1534.62115 J. Syst. Sci. Complex. 37, No. 2, 841-862 (2024). MSC: 62K15 62K05 × Cite Format Result Cite Review PDF Full Text: DOI
Grepstad, Sigrid Bounded distance equivalence of cut-and-project sets and equidecomposability. arXiv:2409.05450 Preprint, arXiv:2409.05450 [math.DS] (2024). MSC: 52C23 52B45 11K38 × Cite Format Result Cite Full Text: arXiv OA License
Beretti, Thomas The Fourier transform of planar convex bodies and discrepancy over intervals of rotations. arXiv:2408.15412 Preprint, arXiv:2408.15412 [math.NT] (2024). MSC: 42B10 11K38 52A10 52C05 × Cite Format Result Cite Full Text: arXiv OA License
Manole, Tudor; Ramdas, Aaditya Martingale methods for sequential estimation of convex functionals and divergences. (English) Zbl 1542.62107 IEEE Trans. Inf. Theory 69, No. 7, 4641-4658 (2023). MSC: 62L12 60G42 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferizović, Damir; Hofstadler, Julian; Mastrianni, Michelle The spherical cap discrepancy of HEALPix points. (English) Zbl 07829402 Stud. Sci. Math. Hung. 60, No. 4, 249-273 (2023). MSC: 11K38 52C99 52A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bansal, Nikhil Discrepancy theory and related algorithms. (English) Zbl 07822590 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5178-5210 (2023). MSC: 68Rxx 05D40 11K38 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Berkes, István; Borda, Bence Random walks on the circle and Diophantine approximation. (English) Zbl 1539.11106 J. Lond. Math. Soc., II. Ser. 108, No. 2, 409-440 (2023). Reviewer: Christoph Aistleitner (Graz) MSC: 11K38 11K60 60J05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weiss, Christian Approximation of discrete measures by finite point sets. (English) Zbl 1539.11105 Unif. Distrib. Theory 18, No. 1, 31-38 (2023). Reviewer: Roman Urban (Wrocław) MSC: 11K36 11K38 11J71 11K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Glaubitz, Jan Construction and application of provable positive and exact cubature formulas. (English) Zbl 07726044 IMA J. Numer. Anal. 43, No. 3, 1616-1652 (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auricchio, Gennaro; Codegoni, Andrea; Gualandi, Stefano; Zambon, Lorenzo The Fourier discrepancy function. (English) Zbl 1518.60003 Commun. Math. Sci. 21, No. 3, 627-639 (2023). MSC: 60B05 60E10 60E15 60A10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. (English) Zbl 07698576 Constr. Approx. 57, No. 3, 983-1026 (2023). MSC: 65T40 65T50 42C10 42B10 43A65 43A85 60B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brandolini, Luca; Gariboldi, Bianca; Gigante, Giacomo; Monguzzi, Alessandro On a discrete approach to lower bounds in discrepancy theory. arXiv:2312.10668 Preprint, arXiv:2312.10668 [math.CA] (2023). MSC: 11K38 39A12 × Cite Format Result Cite Full Text: arXiv OA License
Ferizović, Damir Uniform distribution via lattices: from point sets to sequences. arXiv:2308.13297 Preprint, arXiv:2308.13297 [math.CA] (2023). MSC: 11K36 11K38 52C99 × Cite Format Result Cite Full Text: arXiv
Bukh, Boris; Chao, Ting-Wei; Holzman, Ron On convex holes in \(d\)-dimensional point sets. (English) Zbl 1511.52018 Comb. Probab. Comput. 31, No. 1, 101-108 (2022). MSC: 52C10 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bukh, Boris; Chao, Ting-Wei Digital almost nets. (English) Zbl 1520.11072 Electron. J. Comb. 29, No. 4, Research Paper P4.27, 10 p. (2022). Reviewer: Peter Kritzer (Linz) MSC: 11K38 52C10 65D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reichel, Lothar; Ugwu, Ugochukwu O. Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. (English) Zbl 1497.65071 J. Comput. Appl. Math. 415, Article ID 114488, 21 p. (2022). MSC: 65F22 15A69 65D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bell, Paul C.; Potapov, Igor Towards uniform online spherical tessellations. (English) Zbl 1507.68317 Discrete Comput. Geom. 67, No. 4, 1124-1146 (2022). MSC: 68U05 11K38 52C35 52C45 68W27 × Cite Format Result Cite Review PDF Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. (English) Zbl 07511593 Numer. Linear Algebra Appl. 29, No. 1, e2412, 34 p. (2022). MSC: 65F22 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xiaorun Higher moments for lattice point discrepancy of convex domains and annuli. (English) Zbl 1489.11156 J. Number Theory 235, 382-400 (2022). MSC: 11P21 11H06 52C07 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qi, Yu-Chan; Liu, Hua-Ning On uniformly distributed \([0,1)\) sequences and binary sequences constructed by discrete logarithms. (English) Zbl 1499.11249 Publ. Math. Debr. 100, No. 1-2, 69-86 (2022). Reviewer: Oto Strauch (Bratislava) MSC: 11K38 11K45 11L40 11L07 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Mustafa, Nabil H. Sampling in combinatorial and geometric set systems. (English) Zbl 1489.68003 Mathematical Surveys and Monographs 265. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6156-0/pbk; 978-1-4704-6873-6/ebook). xv, 251 p. (2022). MSC: 68-01 05-01 52-01 60-01 62-01 05D40 11K38 52C45 62D05 68Q25 68Q87 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. (English) Zbl 1481.65060 J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022). MSC: 65F22 65F10 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Hengzhen; Yu, Huangsheng; Liu, Min-Qian; Wu, Dianhua Construction of uniform designs and complex-structured uniform designs via partitionable \(t\)-designs. (English) Zbl 1524.62368 Stat. Sin. 31, No. 4, 1689-1706 (2021). MSC: 62K15 05B15 62K99 × Cite Format Result Cite Review PDF Full Text: DOI
Lobos, Antoine Pinochet; Pittet, Christophe The exact convergence rate in the ergodic theorem of Lubotzky-Phillips-Sarnak and a universal lower bound on discrepancies. (English) Zbl 1492.37003 Enseign. Math. (2) 67, No. 1-2, 63-94 (2021). MSC: 37A15 37A30 22E40 22D40 × Cite Format Result Cite Review PDF Full Text: DOI
Marzo, Jordi; Mas, Albert Discrepancy of minimal Riesz energy points. (English) Zbl 1496.11102 Constr. Approx. 54, No. 3, 473-506 (2021). Reviewer: Damir Ferizović (Leuven) MSC: 11K38 31C20 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bai, Xianglan; Buccini, Alessandro; Reichel, Lothar Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066 BIT 61, No. 4, 1093-1114 (2021). MSC: 65F22 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrož, Petr; Masáková, Zuzana; Pelantová, Edita Lattice bounded distance equivalence for 1D Delone sets with finite local complexity. (English) Zbl 1515.11074 J. Geom. Symmetry Phys. 59, 1-29 (2021). MSC: 11K16 11K38 52C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. (English) Zbl 1465.65035 Appl. Numer. Math. 166, 186-207 (2021). MSC: 65F22 15A69 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Anari, Nima; Vuong, Thuy-Duong An extension of Plücker relations with applications to subdeterminant maximization. (English) Zbl 07758358 Byrka, Jarosław (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 23rd international conference, APPROX 2020, and 24th international conference, RANDOM 2020, August 17–19, 2020, Virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 176, Article 56, 16 p. (2020). MSC: 68W20 68W25 90C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Subbotina, Nina N. Calculus of variations in solutions of dynamic reconstruction problems. (English) Zbl 1484.49064 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 367-377 (2020). Reviewer: Martin Gugat (Erlangen) MSC: 49N45 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Chamizo, Fernando; Pastor, Carlos Lattice points in bodies of revolution. II. (English) Zbl 1473.11187 Math. Nachr. 293, No. 6, 1074-1083 (2020). MSC: 11P21 11L07 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jia, Zhongxiao; Yang, Yanfei A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. (English) Zbl 1452.65076 Appl. Numer. Math. 157, 159-177 (2020). MSC: 65F22 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikolov, Aleksandar Some of Jiří Matoušek’s contributions to combinatorial discrepancy theory. (English) Zbl 1444.05138 Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 147-172 (2020). MSC: 05D05 11K38 52C99 × Cite Format Result Cite Review PDF Full Text: DOI
Gariboldi, Bianca Discrepancy of a convex set with zero curvature at one point. (English) Zbl 1451.11087 Mathematika 66, No. 2, 458-474 (2020). Reviewer: Christoph Aistleitner (Graz) MSC: 11K38 11H06 42B05 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skriganov, M. M. Bounds for \(L_p\)-discrepancies of point distributions in compact metric measure spaces. (English) Zbl 1477.11131 Constr. Approx. 51, No. 2, 413-425 (2020). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 11K06 11K38 11K55 52C99 × Cite Format Result Cite Review PDF Full Text: DOI
Bell, Paul C.; Potapov, Igor Towards uniform online spherical tessellations. (English) Zbl 1434.68687 Manea, Florin (ed.) et al., Computing with foresight and industry. 15th conference on computability in Europe, CiE 2019, Durham, UK, July 15–19, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11558, 120-131 (2019). MSC: 68W27 52C20 52C22 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dadush, Daniel; Garg, Shashwat; Lovett, Shachar; Nikolov, Aleksandar Towards a constructive version of Banaszczyk’s vector balancing theorem. (English) Zbl 1494.52002 Theory Comput. 15, Paper No. 15, 58 p. (2019). MSC: 52A20 52B55 52C07 × Cite Format Result Cite Review PDF Full Text: DOI
Frettlöh, Dirk; Garber, Alexey Weighted \(1\times 1\) cut-and-project sets in bounded distance to a lattice. (English) Zbl 1498.52033 Discrete Comput. Geom. 62, No. 3, 649-661 (2019). MSC: 52C23 11J72 11K38 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skriganov, M. M. Point distributions in two-point homogeneous spaces. (English) Zbl 1477.11135 Mathematika 65, No. 3, 557-587 (2019). MSC: 11K38 22F30 52C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colzani, Leonardo; Gariboldi, Bianca; Gigante, Giacomo \(L^{p}\) norms of the lattice point discrepancy. (English) Zbl 1432.11069 J. Fourier Anal. Appl. 25, No. 4, 2150-2195 (2019). Reviewer: Florian Pausinger (Belfast) MSC: 11H06 42B05 52C07 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colzani, Leonardo; Gariboldi, Bianca; Gigante, Giacomo Mixed \(L^{p}(L^{2})\) norms of the lattice point discrepancy. (English) Zbl 1419.52015 Trans. Am. Math. Soc. 371, No. 11, 7669-7706 (2019). MSC: 52C07 11H06 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilyk, Dmitriy; Dai, Feng; Steinerberger, Stefan General and refined Montgomery lemmata. (English) Zbl 1419.42005 Math. Ann. 373, No. 3-4, 1283-1297 (2019). MSC: 42B05 11K38 35B05 35B40 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilyk, Dmitriy; Matzke, Ryan W. On the Fejes Tóth problem about the sum of angles between lines. (English) Zbl 1458.11119 Proc. Am. Math. Soc. 147, No. 1, 51-59 (2019). MSC: 11K38 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Wang, Zhenghong; Qin, Hong Uniformity pattern and related criteria for mixed-level designs. (English) Zbl 1508.62195 Commun. Stat., Theory Methods 47, No. 13, 3192-3203 (2018). MSC: 62K15 62K05 × Cite Format Result Cite Review PDF Full Text: DOI
Antil, Harbir; Walker, Shawn W. Optimal control of a degenerate PDE for surface shape. (English) Zbl 1404.49001 Appl. Math. Optim. 78, No. 2, 297-328 (2018). MSC: 49J20 49K40 49M25 35Q35 35R35 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grepstad, Sigrid; Lev, Nir Riesz bases, Meyer’s quasicrystals, and bounded remainder sets. (English) Zbl 1390.42013 Trans. Am. Math. Soc. 370, No. 6, 4273-4298 (2018). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 52C22 52C23 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prochno, Joscha (ed.); Thäle, Christoph (ed.); Werner, Elisabeth (ed.) Mini-workshop: Perspectives in high-dimensional probability and convexity. Abstracts from the mini-workshop held February 5–11, 2017. (English) Zbl 1390.00109 Oberwolfach Rep. 14, No. 1, 499-526 (2017). MSC: 00B05 00B25 52A20 60D05 65D30 11K38 52A22 52A23 65C10 60-06 52-06 × Cite Format Result Cite Review PDF Full Text: DOI
Skriganov, M. M. Point distributions in compact metric spaces. (English) Zbl 1393.11057 Mathematika 63, No. 3, 1152-1171 (2017). Reviewer: Peter Kritzer (Linz) MSC: 11K38 52C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zwaan, Ian N.; Hochstenbach, Michiel E. Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. (English) Zbl 1370.65021 J. Sci. Comput. 70, No. 3, 990-1009 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F22 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Gigante, Giacomo; Leopardi, Paul Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces. (English) Zbl 1366.52020 Discrete Comput. Geom. 57, No. 2, 419-430 (2017). Reviewer: Anton Shutov (Vladimir) MSC: 52C22 11K38 28A75 54E45 65D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rothvoss, Thomas Constructive discrepancy minimization for convex sets. (English) Zbl 1359.52009 SIAM J. Comput. 46, No. 1, 224-234 (2017). MSC: 52A20 05D05 52B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiraga, Takeharu; Yamauchi, Yukiko; Kijima, Shuji; Yamashita, Masafumi Total variation discrepancy of deterministic random walks for ergodic Markov chains. (English) Zbl 1432.60071 Fill, James Allen (ed.) et al., Proceedings of the 13th workshop on analytic algorithmics and combinatorics, ANALCO ’16, Arlington, VA, USA, January 11, 2016. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). 138-148 (2016). MSC: 60J10 05C81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dadush, Daniel; Garg, Shashwat; Lovett, Shachar; Nikolov, Aleksandar Towards a constructive version of Banaszczyk’s vector balancing theorem. (English) Zbl 1398.52007 Jansen, Klaus (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. Proceedings of the 19th international workshop on approximation algorithms for combinatorial optimization problems, APPROX 2016, and the 20th international workshop on randomization and computation, RANDOM 2016, Paris, France, September 7–9, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-018-7). LIPIcs – Leibniz International Proceedings in Informatics 60, Article 28, 12 p. (2016). MSC: 52A20 52B55 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolountzakis, M. N. Discrepancy of line segments for general lattice checkerboards. (English) Zbl 1374.11073 Anal. Math. 42, No. 1, 31-41 (2016). Reviewer: Robert F. Tichy (Graz) MSC: 11K38 52C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hongyi; Ou, Zujun; Li, Qisheng New lower bounds to discrete discrepancy in mixed two- and three-level fractional factorial designs. (Chinese. English summary) Zbl 1363.62098 J. Fuzhou Univ., Nat. Sci. 44, No. 3, 375-378 (2016). MSC: 62K15 × Cite Format Result Cite Review PDF
Li, Hongyi; Ou, Zujun; Li, Qisheng Uniformity in mixed levels saturated orthogonal designs in term of generalized discrete discrepancy. (Chinese. English summary) Zbl 1363.62097 J. Fuzhou Univ., Nat. Sci. 44, No. 3, 368-374 (2016). MSC: 62K15 × Cite Format Result Cite Review PDF
Dick, Josef; Rudolf, Daniel; Zhu, Houying Discrepancy bounds for uniformly ergodic Markov chain quasi-Monte Carlo. (English) Zbl 1351.60100 Ann. Appl. Probab. 26, No. 5, 3178-3205 (2016). MSC: 60J22 65C40 62F15 65C05 60J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Guangxin; Reichel, Lothar; Yin, Feng Projected nonstationary iterated Tikhonov regularization. (English) Zbl 1341.65017 BIT 56, No. 2, 467-487 (2016). MSC: 65F22 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongyi; Chatterjee, Kashinath; Li, Bo; Qin, Hong Construction of Sudoku-based uniform designs with mixed levels. (English) Zbl 1338.62172 Stat. Probab. Lett. 114, 111-118 (2016). MSC: 62K15 62K10 62K99 × Cite Format Result Cite Review PDF Full Text: DOI
Balakrishnan, Narayanaswamy; Qin, Hong; Chatterjee, Kashinath Generalized projection discrepancy and its applications in experimental designs. (English) Zbl 1349.62354 Metrika 79, No. 1, 19-35 (2016). MSC: 62K15 62K05 × Cite Format Result Cite Review PDF Full Text: DOI
Albani, Vinicius; De Cezaro, Adriano; Zubelli, Jorge P. On the choice of the Tikhonov regularization parameter and the discretization level: a discrepancy-based strategy. (English) Zbl 1334.35416 Inverse Probl. Imaging 10, No. 1, 1-25 (2016). MSC: 35R30 65J22 47J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilyk, Dmitriy; Ma, Xiaomin; Pipher, Jill; Spencer, Craig Diophantine approximations and directional discrepancy of rotated lattices. (English) Zbl 1334.11059 Trans. Am. Math. Soc. 368, No. 6, 3871-3897 (2016). Reviewer: Huaning Liu (Shaanxi) MSC: 11K38 11K60 28A78 52C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brandolini, Luca; Colzani, Leonardo; Gigante, Giacomo; Travaglini, Giancarlo \(L^p\) and weak-\(L^p\) estimates for the number of integer points in translated domains. (English) Zbl 1371.11136 Math. Proc. Camb. Philos. Soc. 159, No. 3, 471-480 (2015). MSC: 11P21 11H06 11K70 42B37 52C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hongyi; Li, Qisheng; Ou, Zujun Uniformity in complementary designs in term of generalized discrete discrepancy. (Chinese. English summary) Zbl 1363.62096 J. Cent. China Norm. Univ., Nat. Sci. 49, No. 4, 492-496 (2015). MSC: 62K15 × Cite Format Result Cite Review PDF
Wang, Zhenghong; Qin, Hong Discrete discrepancy \(D(d; \gamma)\) and its applications in experimental designs. (Chinese. English summary) Zbl 1349.62357 Acta Math. Appl. Sin. 38, No. 5, 944-955 (2015). MSC: 62K15 62K99 × Cite Format Result Cite Review PDF
Qin, Hong; Wang, Zhenghong Application of minimum projection uniformity criterion in complementary designs for \(q\)-level factorials. (English) Zbl 1328.62494 Front. Math. China 10, No. 2, 339-350 (2015). MSC: 62K15 62K05 × Cite Format Result Cite Review PDF Full Text: DOI
Cavazos-Cadena, Rolando; Montes-De-oca, Raúl; Sladký, Karel Sample-path optimal stationary policies in stable Markov decision chains with the average reward criterion. (English) Zbl 1327.90366 J. Appl. Probab. 52, No. 2, 419-440 (2015). MSC: 90C40 93E20 60J05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kobylkin, K. S. Lower bounds for the number of hyperplanes separating two finite sets of points. (English. Russian original) Zbl 1327.52041 Proc. Steklov Inst. Math. 289, Suppl. 1, S126-S138 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 210-222 (2014). Reviewer: Kelly J. Pearson (Murray) MSC: 52C35 52C45 × Cite Format Result Cite Review PDF Full Text: DOI
Viloche Bazán, Fermín S. Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems. (English) Zbl 1323.65038 J. Sci. Comput. 63, No. 1, 163-184 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Xiao-Guang; Huang, Ting-Zhu; Jiang, Le; Liu, Jun Two global iterative methods for ill-posed problems from image restoration. (English) Zbl 1320.65036 J. Comput. Anal. Appl. 18, No. 2, 219-237 (2015). MSC: 65D18 94A08 65F22 × Cite Format Result Cite Review PDF
Migliorati, Giovanni; Nobile, Fabio Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. (English) Zbl 1320.62076 J. Complexity 31, No. 4, 517-542 (2015). MSC: 62G05 65Y20 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Richter, Mathias Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083 Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria On Krylov projection methods and Tikhonov regularization. (English) Zbl 1312.65065 ETNA, Electron. Trans. Numer. Anal. 44, 83-123 (2015). MSC: 65F22 65F10 × Cite Format Result Cite Review PDF Full Text: EMIS
Beltrán, Carlos A facility location formulation for stable polynomials and elliptic Fekete points. (English) Zbl 1315.65051 Found. Comput. Math. 15, No. 1, 125-157 (2015). Reviewer: Hang Lau (Montréal) MSC: 65K05 31A10 11K38 90B80 × Cite Format Result Cite Review PDF Full Text: DOI
Kelmer, Dubi; Kontorovich, Alex On the pair correlation density for hyperbolic angles. (English) Zbl 1318.30066 Duke Math. J. 164, No. 3, 473-509 (2015). Reviewer: Christoph Aistleitner (Kobe) MSC: 30F35 22E40 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Kelly, Michael; Sadun, Lorenzo Pattern equivariant cohomology and theorems of Kesten and Oren. (English) Zbl 1402.52023 Bull. Lond. Math. Soc. 47, No. 1, 13-20 (2015). MSC: 52C23 37B50 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aistleitner, Christoph Fully explicit large deviation inequalities for empirical processes with applications to information-based complexity. arXiv:1504.00143 Preprint, arXiv:1504.00143 [math.PR] (2015). MSC: 60F10 62G30 65D32 65C05 52C17 11K38 × Cite Format Result Cite Full Text: arXiv OA License
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria Embedded techniques for choosing the parameter in Tikhonov regularization. (English) Zbl 1340.65068 Numer. Linear Algebra Appl. 21, No. 6, 796-812 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hongyi; Li, Qisheng; Ou, Zujun Construction of Sudoku designs and Sudoku-based uniform designs. (English) Zbl 1287.62015 Stat. Probab. Lett. 89, 51-57 (2014). MSC: 62K99 62K10 62K15 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Makoto; Saito, Mutsuo; Matoba, Kyle A computable figure of merit for quasi-Monte Carlo point sets. (English) Zbl 1330.11051 Math. Comput. 83, No. 287, 1233-1250 (2014). Reviewer: Huaning Liu (Shaanxi) MSC: 11K38 11K45 65C05 65D30 65T50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huxley, M. N. A fourth power discrepancy mean. (English) Zbl 1371.11137 Monatsh. Math. 173, No. 2, 231-238 (2014). MSC: 11P21 11K70 52C05 × Cite Format Result Cite Review PDF Full Text: DOI
Dick, Josef; Matsumoto, Makoto On the fast computation of the weight enumerator polynomial and the \(t\) value of digital nets over finite abelian groups. (English) Zbl 1316.11068 SIAM J. Discrete Math. 27, No. 3, 1335-1359 (2013). Reviewer: Maria Infusino (Konstanz) MSC: 11K38 11K45 65D30 94B05 11T71 65T50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viloche Bazán, Fermín S.; Borges, Leonardo S.; Francisco, Juliano B. On a generalization of Regińska’s parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization. (English) Zbl 1293.65061 Appl. Math. Comput. 219, No. 4, 2100-2113 (2012). MSC: 65F20 65F22 × Cite Format Result Cite Review PDF Full Text: DOI
Gräf, Manuel; Potts, Daniel; Steidl, Gabriele Quadrature errors, discrepancies, and their relations to halftoning on the torus and the sphere. (English) Zbl 1261.65066 SIAM J. Sci. Comput. 34, No. 5, A2760-A2791 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K10 53B21 49M15 33C55 46E22 49J52 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Min; Lu, Shuai; Cheng, Jin Multiscale analysis for ill-posed problems with semi-discrete Tikhonov regularization. (English) Zbl 1254.65071 Inverse Probl. 28, No. 6, Article ID 065019, 19 p. (2012). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J20 46E35 47A52 65J10 65J22 × Cite Format Result Cite Review PDF Full Text: DOI
Neuman, A.; Reichel, L.; Sadok, H. Implementations of range restricted iterative methods for linear discrete ill-posed problems. (English) Zbl 1241.65045 Linear Algebra Appl. 436, No. 10, 3974-3990 (2012). MSC: 65F22 × Cite Format Result Cite Review PDF Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Combining approximate solutions for linear discrete ill-posed problems. (English) Zbl 1241.65043 J. Comput. Appl. Math. 236, No. 8, 2179-2185 (2012). MSC: 65F22 65F20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nowak, W. G. Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method. (English) Zbl 1299.11062 Acta Math. Hung. 134, No. 1-2, 12-28 (2012). MSC: 11L40 11K38 11P21 × Cite Format Result Cite Review PDF Full Text: DOI
Berthé, Valérie; Labbé, Sébastien Uniformly balanced words with linear complexity and prescribed letter frequencies. (English) Zbl 1331.68161 Ambrož, Petr (ed.) et al., Proceedings of the 8th international conference, Words 2011, Prague, Czech Republic, September, 12–16, 2011. Sydney: NICTA. Electronic Proceedings in Theoretical Computer Science 63, 44-52 (2011). MSC: 68R15 11Y65 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten A finite element model for the data completion problem: analysis and assessment. (English) Zbl 1242.65191 Inverse Probl. Sci. Eng. 19, No. 8, 1063-1086 (2011). MSC: 65M32 35J25 35R30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Schulze, Bernd On the area discrepancy of triangulations of squares and trapezoids. (English) Zbl 1222.52017 Electron. J. Comb. 18, No. 1, Research Paper P137, 16 p. (2011). MSC: 52C15 51M20 05B45 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Krätzel, Ekkehard; Nowak, Werner Georg The lattice discrepancy of certain three-dimensional bodies. (English) Zbl 1258.11087 Monatsh. Math. 163, No. 2, 149-174 (2011). Reviewer: Adam J. Harper (Montreal) MSC: 11P21 11N37 11K38 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chatterjee, Kashinath; Qin, Hong Generalized discrete discrepancy and its applications in experimental designs. (English) Zbl 1200.62083 J. Stat. Plann. Inference 141, No. 2, 951-960 (2011). MSC: 62K15 62K05 × Cite Format Result Cite Review PDF Full Text: DOI
Garcia, V. C.; Nowak, W. G. A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1218.11091 Acta Math. Hung. 128, No. 1-2, 106-115 (2010). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11P21 11K38 52C07 × Cite Format Result Cite Review PDF Full Text: DOI
Damelin, S. B.; Hickernell, F. J.; Ragozin, D. L.; Zeng, X. On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space. (English) Zbl 1292.49041 J. Fourier Anal. Appl. 16, No. 6, 813-839 (2010). MSC: 49Q20 28A78 31C20 41A55 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhongying; Cheng, Sirui; Nelakanti, Gnaneshwar; Yang, Hongqi A fast multiscale Galerkin method for the first kind ill-posed integral equations via Tikhonov regularization. (English) Zbl 1219.65160 Int. J. Comput. Math. 87, No. 3, 565-582 (2010). MSC: 65R20 65R30 45A05 45B05 × Cite Format Result Cite Review PDF Full Text: DOI