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ORCIDAnatoly A. Zhigljavsky
Person information
- affiliation: Cardiff University, Department of Mathematics, UK
- affiliation: University of Nizhnii Novgorod, Russia
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Books and Theses
- 2008
[b3]Anatoly A. Zhigljavsky, Antanas Zilinskas:
Stochastic Global Optimization. Optimization and its applications 1, Springer 2008, ISBN 978-0-387-74022-5, pp. I-IX, 1-262- 2001
- [b2]Nina Golyandina, Vladimir Nekrutkin, Anatoly A. Zhigljavsky:
Analysis of Time Series Structure - SSA and Related Techniques. Monographs on statistics and applied probability 90, Chapman & Hall 2001, ISBN 978-1-58488-194-0, pp. I-XII, 1-305 - 1999
- [b1]Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky:
Dynamical Search - Applications of Dynamical Systems in Search and Optimization: Interdisciplinary Statistics. CRC Press 1999, ISBN 978-0-8493-0336-4, pp. 1-221
Journal Articles
- 2024
- [j40]Jack Noonan, Anatoly Zhigljavsky
:
Improving exploration strategies in large dimensions and rate of convergence of global random search algorithms. J. Glob. Optim. 88(1): 1-26 (2024) - 2023
- [j39]Jonathan Gillard, Emily O'Riordan, Anatoly Zhigljavsky:
Polynomial whitening for high-dimensional data. Comput. Stat. 38(3): 1427-1461 (2023) - [j38]Luc Pronzato, Anatoly A. Zhigljavsky:
Quasi-uniform designs with optimal and near-optimal uniformity constant. J. Approx. Theory 294: 105931 (2023) - 2022
- [j37]Jack Noonan, Anatoly Zhigljavsky:
Efficient Quantisation and Weak Covering of High Dimensional Cubes. Discret. Comput. Geom. 68(2): 540-565 (2022) - 2021
- [j36]Jack Noonan, Anatoly Zhigljavsky:
Approximations for the boundary crossing probabilities of moving sums of normal random variables. Commun. Stat. Simul. Comput. 50(11): 3547-3568 (2021) - [j35]Luc Pronzato, Anatoly Zhigljavsky:
Minimum-energy measures for singular kernels. J. Comput. Appl. Math. 382: 113089 (2021) - [j34]Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly Zhigljavsky:
Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms". J. Comput. Appl. Math. 393: 113545 (2021) - [j33]Antanas Zilinskas, Jonathan Gillard, Megan Scammell, Anatoly Zhigljavsky:
Multistart with early termination of descents. J. Glob. Optim. 79(2): 447-462 (2021) - [j32]Holger Dette, Anatoly A. Zhigljavsky:
Reproducing Kernel Hilbert Spaces, Polynomials, and the Classical Moment Problem. SIAM/ASA J. Uncertain. Quantification 9(4): 1589-1614 (2021) - 2020
- [j31]Luc Pronzato, Anatoly Zhigljavsky:
Bayesian Quadrature, Energy Minimization, and Space-Filling Design. SIAM/ASA J. Uncertain. Quantification 8(3): 959-1011 (2020) - [j30]Anatoly Zhigljavsky, Jack Noonan:
Covering of High-Dimensional Cubes and Quantization. Oper. Res. Forum 1(3) (2020) - [j29]Andrey Pepelyshev, Anatoly Zhigljavsky:
Discrete uniform and binomial distributions with infinite support. Soft Comput. 24(23): 17517-17524 (2020) - 2019
- [j28]Luc Pronzato, Anatoly Zhigljavsky:
Measures Minimizing Regularized Dispersion. J. Sci. Comput. 78(3): 1550-1570 (2019) - [j27]Anatoly Zhigljavsky, Antanas Zilinskas:
Selection of a covariance function for a Gaussian random field aimed for modeling global optimization problems. Optim. Lett. 13(2): 249-259 (2019) - 2018
- [j26]Jonathan Gillard, Anatoly Zhigljavsky:
Optimal estimation of direction in regression models with large number of parameters. Appl. Math. Comput. 318: 281-289 (2018) - [j25]Renato De Leone, Yaroslav D. Sergeyev, Anatoly Zhigljavsky:
Guest editors' preface to the special issue devoted to the 2nd International Conference "Numerical Computations: Theory and Algorithms", June 19-25, 2016, Pizzo Calabro, Italy. J. Glob. Optim. 71(1): 1-4 (2018) - [j24]Andrey Pepelyshev, Anatoly Zhigljavsky, Antanas Zilinskas:
Performance of global random search algorithms for large dimensions. J. Glob. Optim. 71(1): 57-71 (2018) - [j23]Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky:
Simplicial variances, potentials and Mahalanobis distances. J. Multivar. Anal. 168: 276-289 (2018) - 2016
- [j22]Antanas Zilinskas, Anatoly Zhigljavsky:
Stochastic Global Optimization: A Review on the Occasion of 25 Years of Informatica. Informatica 27(2): 229-256 (2016) - [j21]Jonathan Gillard, Anatoly A. Zhigljavsky:
Weighted norms in subspace-based methods for time series analysis. Numer. Linear Algebra Appl. 23(5): 947-967 (2016) - [j20]Antanas Zilinskas, Anatoly Zhigljavsky:
Branch and probability bound methods in multi-objective optimization. Optim. Lett. 10(2): 341-353 (2016) - 2015
- [j19]Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly A. Zhigljavsky:
Preface to the special issue NUMTA 2013. Commun. Nonlinear Sci. Numer. Simul. 21(1-3): 1-2 (2015) - [j18]Jonathan W. Gillard, Anatoly A. Zhigljavsky:
Stochastic algorithms for solving structured low-rank matrix approximation problems. Commun. Nonlinear Sci. Numer. Simul. 21(1-3): 70-88 (2015) - 2014
- [j17]Holger Dette, Andrey Pepelyshev, Anatoly A. Zhigljavsky:
'Nearly' universally optimal designs for models with correlated observations. Comput. Stat. Data Anal. 71: 1103-1112 (2014) - [j16]Anatoly A. Zhigljavsky:
Ya. D. Sergeyev, R. G. Strongin and D. Lera: Introduction to global optimization exploiting space-filling curves - Springer briefs in optimization, Springer, 2013, 131 pp, USD 40, £ 30. J. Glob. Optim. 60(3): 595-596 (2014) - [j15]Anatoly A. Zhigljavsky:
R. Paulavičius and J. Žilinskas: Simplicial global optimization - Springer briefs in optimization, Springer, 2014, 137 pp, pg USD 40, £36. J. Glob. Optim. 60(4): 801-802 (2014) - 2013
- [j14]Jonathan Gillard, Anatoly A. Zhigljavsky:
Optimization challenges in the structured low rank approximation problem. J. Glob. Optim. 57(3): 733-751 (2013) - [j13]Anatoly A. Zhigljavsky, Luc Pronzato, Elena Bukina:
An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost. Optim. Lett. 7(6): 1047-1059 (2013) - 2012
- [j12]Renato De Leone, Yaroslav D. Sergeyev, Anatoly A. Zhigljavsky:
Foreword: Special issue INFINITY 2010. Appl. Math. Comput. 218(16): 7977-7978 (2012) - [j11]Anatoly A. Zhigljavsky:
Computing sums of conditionally convergent and divergent series using the concept of grossone. Appl. Math. Comput. 218(16): 8064-8076 (2012) - 2011
- [j10]Luc Pronzato, Anatoly A. Zhigljavsky:
Gradient algorithms for quadratic optimization with fast convergence rates. Comput. Optim. Appl. 50(3): 597-617 (2011) - [j9]Jonathan Gillard, Anatoly A. Zhigljavsky:
Analysis of Structured Low Rank Approximation as an Optimization Problem. Informatica 22(4): 489-505 (2011) - 2010
- [j8]Anatoly A. Zhigljavsky, Emily Hamilton:
Stopping rules in k-adaptive global random search algorithms. J. Glob. Optim. 48(1): 87-97 (2010) - 2009
- [j7]Hossein Hassani, Anatoly A. Zhigljavsky:
Singular spectrum analysis: methodology and application to economics data. J. Syst. Sci. Complex. 22(3): 372-394 (2009) - 2008
- [j6]Holger Dette, Andrey Pepelyshev, Anatoly A. Zhigljavsky:
Improving updating rules in multiplicative algorithms for computing D-optimal designs. Comput. Stat. Data Anal. 53(2): 312-320 (2008) - 2006
- [j5]Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky:
Asymptotic behaviour of a family of gradient algorithms in Rd and Hilbert spaces. Math. Program. 107(3): 409-438 (2006) - 2001
- [j4]Martin N. Huxley, Anatoly A. Zhigljavsky:
On the distribution of Farey fractions and hyperbolic lattice points. Period. Math. Hung. 42(1-2): 191-198 (2001) - 1999
- [j3]Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky:
Finite Sample Behaviour of an Ergodically Fast Line-Search Algorithm. Comput. Optim. Appl. 14(1): 75-86 (1999) - 1997
- [j2]Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky:
Stochastic Analysis of Convergence via Dynamic Representation for a Class of Line-search Algorithms. Comb. Probab. Comput. 6(2): 205-229 (1997) - 1995
- [j1]Henry P. Wynn, Anatoly A. Zhigljavsky:
Achieving the Ergodically Optimal Convergence Rate for a One-Dimensional Minimization Problem. J. Complex. 11(2): 196-226 (1995)
Conference and Workshop Papers
- 2017
- [c5]Jonathan Gillard, Anatoly A. Zhigljavsky:
Global Optimization Challenges in Structured Low Rank Approximation. LION 2017: 326-330 - [c4]Andrey Pepelyshev, Vladimir Kornikov, Anatoly A. Zhigljavsky:
Statistical Estimation in Global Random Search Algorithms in Case of Large Dimensions. LION 2017: 364-369 - 2016
- [c3]Andrey Pepelyshev, Yuri Staroselskiy, Anatoly A. Zhigljavsky, Roman Guchenko:
Adaptive Targeting in Online Advertisement: Models Based on Relative Influence of Factors. MOD 2016: 159-169 - 2015
- [c2]Andrey Pepelyshev, Yuri Staroselskiy, Anatoly A. Zhigljavsky:
Adaptive Targeting for Online Advertisement. MOD 2015: 240-251 - 1997
- [c1]Sylvie Icart, Joël Le Roux, Luc Pronzato, Eric Thierry, Anatoly A. Zhigljavsky:
Blind equalization in presence of bounded errors. ICASSP 1997: 3949-3952
Parts in Books or Collections
- 2016
- [p1]Gareth Davies, Jonathan Gillard, Anatoly Zhigljavsky:
Comparative Study of Different Penalty Functions and Algorithms in Survey Calibration. Advances in Stochastic and Deterministic Global Optimization 2016: 87-127
Editorship
- 2016
- [e1]Panos M. Pardalos, Anatoly Zhigljavsky, Julius Zilinskas:
Advances in Stochastic and Deterministic Global Optimization. Springer Optimization and Its Applications 107, Springer 2016, ISBN 978-3-319-29973-0 [contents]
Reference Works
- 2011
- [r3]Anatoly A. Zhigljavsky:
Singular Spectrum Analysis for Time Series. International Encyclopedia of Statistical Science 2011: 1335-1337 - [r2]Anatoly A. Zhigljavsky:
Statistical Modelling in Market Research. International Encyclopedia of Statistical Science 2011: 1450-1452 - [r1]Anatoly A. Zhigljavsky:
Stochastic Global Optimization. International Encyclopedia of Statistical Science 2011: 1521-1524
Informal and Other Publications
- 2021
- [i3]Holger Dette, Anatoly Zhigljavsky:
Reproducing kernel Hilbert spaces, polynomials and the classical moment problems. CoRR abs/2101.11968 (2021) - [i2]Luc Pronzato, Anatoly Zhigljavsky:
Quasi-uniform designs with optimal and near-optimal uniformity constant. CoRR abs/2112.10401 (2021) - 2019
- [i1]Nina Golyandina, Anatoly Zhigljavsky:
Blind deconvolution of covariance matrix inverses for autoregressive processes. CoRR abs/1909.07216 (2019)
Coauthor Index
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