Space-Filling in High-Dimensional Sets
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[1] Luc Pronzato,et al. Design of computer experiments: space filling and beyond , 2011, Statistics and Computing.
[2] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[3] Martin N. Huxley,et al. On the distribution of Farey fractions and hyperbolic lattice points , 2001, Period. Math. Hung..
[4] Luc Pronzato,et al. Measures Minimizing Regularized Dispersion , 2018, Journal of Scientific Computing.
[5] Gillis Pagés,et al. A space quantization method for numerical integration , 1998 .
[6] V. V. Petrov. Limit Theorems of Probability Theory: Sequences of Independent Random Variables , 1995 .
[7] G. Tóth,et al. Packing and Covering with Convex Sets , 1993 .
[8] N. J. A. Sloane,et al. Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.
[9] G. Larcher,et al. Weighted Discrepancy and High-Dimensional Numerical Integration , 2003 .
[10] K. Ball. An Elementary Introduction to Modern Convex Geometry , 1997 .
[11] A. Zhigljavsky,et al. Non-lattice Covering and Quantization of High Dimensional Sets , 2020, 2006.02705.
[12] J. Franel,et al. Les suites de Farey et le problème des nombres premiers , 1924 .
[13] M. E. Johnson,et al. Minimax and maximin distance designs , 1990 .
[14] Robert F. Tichy,et al. Sequences, Discrepancies and Applications , 1997 .
[15] F. Dress. Discrépance des suites de Farey , 1999 .
[16] N. J. A. Sloane,et al. Voronoi regions of lattices, second moments of polytopes, and quantization , 1982, IEEE Trans. Inf. Theory.
[17] Paul Deheuvels,et al. Strong bounds for multidimensional spacings , 1983 .
[18] A. G. Sukharev. Optimal strategies of the search for an extremum , 1971 .
[19] Fred J. Hickernell,et al. A generalized discrepancy and quadrature error bound , 1998, Math. Comput..
[20] A. Zhigljavsky,et al. Asymptotic Distribution of the Distance Function to the Farey Points , 1997 .
[21] A. Zhigljavsky,et al. Covering of High-Dimensional Cubes and Quantization , 2020, SN Operations Research Forum.
[22] Avrim Blum,et al. Foundations of Data Science , 2020 .
[23] Qiang Du,et al. Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..
[24] Svante Janson,et al. Maximal spacings in several dimensions , 1987 .
[25] S. Kanemitsu,et al. Farey series and the Riemann hypothesis , 1996 .
[26] Luc Pronzato,et al. Bayesian Quadrature, Energy Minimization, and Space-Filling Design , 2020, SIAM/ASA J. Uncertain. Quantification.
[27] Gunzburger,et al. Advances in Studies and Applications of Centroidal Voronoi Tessellations , 2010 .
[28] Antanas Zilinskas. On the worst-case optimal multi-objective global optimization , 2013, Optim. Lett..
[29] Vladimir N. Temlyakov,et al. Cubature formulas, discrepancy, and nonlinear approximation , 2003, J. Complex..
[30] E. Saff,et al. Distributing many points on a sphere , 1997 .
[31] Alvise Sommariva,et al. Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra , 2010, SIAM J. Numer. Anal..
[32] N. J. A. Sloane,et al. Fast quantizing and decoding and algorithms for lattice quantizers and codes , 1982, IEEE Trans. Inf. Theory.