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Wasilkowski, Grzegorz W.

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Author ID: wasilkowski.grzegorz-w Recent zbMATH articles by "Wasilkowski, Grzegorz W."
Published as: Wasilkowski, G. W.; Wasilkowski, Grzegorz W.; Wasilkowski, Grzegorz

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111 Publications have been cited 1,888 times in 899 Documents Cited by Year
Information-based complexity. Zbl 0654.94004
Traub, Joseph F.; Wasilkowski, G. W.; Woźniakowski, H.
237
1988
Information, uncertainty, complexity. (Informatsiya, neopredelennost’, slozhnost’). Transl. from the English by O. R. Chuyan. Transl. ed. by A. G. Sukharev. (Informatsiya, neopredelennost’, slozhnost’.) Zbl 0674.68039
Traub, J. F.; Wasilkowski, G. W.; Wozniakowski, H.
231
1988
Explicit cost bounds of algorithms for multivariate tensor product problems. Zbl 0819.65082
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
110
1995
On decompositions of multivariate functions. Zbl 1196.41022
Kuo, F. Y.; Sloan, I. H.; Wasilkowski, G. W.; Wozniakowski, H.
68
2010
The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065
Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
56
2001
Information, uncertainty, complexity. Zbl 0522.68041
Traub, J. F.; Wasilkowski, G. W.; Wozniakowski, H.
46
1983
Weighted tensor product algorithms for linear multivariate problems. Zbl 0939.65079
Wasilkowski, G. W.; Woźniakowski, H.
45
1999
Approximation of linear functionals on a Banach space with a Gaussian measure. Zbl 0602.65036
Lee, D.; Wasilkowski, G. W.
42
1986
Information of varying cardinality. Zbl 0615.94004
Wasilkowski, G. W.
41
1986
Liberating the dimension. Zbl 1203.65057
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
39
2010
On the average complexity of multivariate problems. Zbl 0723.68050
Papageorgiou, A.; Wasilkowski, G. W.
34
1990
Tractability of infinite-dimensional integration in the worst case and randomized settings. Zbl 1230.65037
Plaskota, L.; Wasilkowski, G. W.
31
2011
Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions. Zbl 0872.62063
Ritter, Klaus; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
30
1995
On the power of standard information for multivariate approximation in the worst case setting. Zbl 1181.41038
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
29
2009
Can adaption help on the average? Zbl 0555.65030
Wasilkowski, G. W.; Woźniakowski, H.
29
1984
On tractability of path integration. Zbl 0863.65006
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
25
1996
On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
23
2004
On the power of standard information for weighted approximation. Zbl 1001.41013
Wasilkowski, G. W.; Woźniakowski, H.
22
2001
Average case optimality. Zbl 0586.68040
Wasilkowski, G. W.
21
1985
Probabilistic and average linear width in \(L_ \infty\)-norm with respect to \(r\)-fold Wiener measure. Zbl 0835.41025
Maiorov, V. E.; Wasilkowski, G. W.
20
1996
Average case optimality for linear problems. Zbl 0543.68029
Traub, J. F.; Wasilkowski, G. W.; Woźniakowski, H.
20
1984
Average case optimal algorithms in Hilbert spaces. Zbl 0588.41008
Wasilkowski, G. W.; Woźniakowski, H.
20
1986
A new algorithm and worst case complexity for Feynman-Kac path integration. Zbl 1052.81520
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
19
2000
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. Zbl 1208.65008
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
18
2010
Tractability of approximation of \(\infty\)-variate functions with bounded mixed partial derivatives. Zbl 1360.65056
Wasilkowski, G. W.
18
2014
Complexity of weighted approximation over \(\mathbb{R}\). Zbl 0977.41009
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
18
2000
Adaption allows efficient integration of functions with unknown singularities. Zbl 1083.65031
Plaskota, Leszek; Wasilkowski, Grzegorz W.
17
2005
Liberating the dimension for function approximation: standard information. Zbl 1227.65140
Wasilkowski, G. W.; Woźniakowski, H.
16
2011
Liberating the dimension for \(L_2\)-approximation. Zbl 1247.65013
Wasilkowski, G. W.
16
2012
Randomization for continuous problems. Zbl 0675.65012
Wasilkowski, G. W.
16
1989
Optimal algorithms for linear problems with Gaussian measures. Zbl 0622.65041
Wasilkowski, G. W.
16
1986
Liberating the dimension for function approximation. Zbl 1208.65024
Wasilkowski, G. W.; Woźniakowski, H.
15
2011
Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
15
2016
The power of adaption for approximating functions with singularities. Zbl 1198.65262
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Zhao, Yaxi
15
2008
Randomly shifted lattice rules for unbounded integrands. Zbl 1112.65003
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
15
2006
The power of standard information for multivariate approximation in the randomized setting. Zbl 1116.65003
Wasilkowski, G. W.; Woźniakowski, H.
15
2007
Multivariate \(L_{\infty}\) approximation in the worst case setting over reproducing kernel Hilbert spaces. Zbl 1154.41016
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
14
2008
Some nonlinear problems are as easy as the approximation problem. Zbl 0559.41018
Wasilkowski, G. W.
14
1984
On equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_1\) or \(L_\infty\). Zbl 1342.46032
Hefter, M.; Ritter, K.; Wasilkowski, G. W.
14
2016
Liberating the dimension for function approximation and integration. Zbl 1271.65049
Wasilkowski, G. W.
13
2012
Finite-order weights imply tractability of linear multivariate problems. Zbl 1064.41025
Wasilkowski, G. W.; Woźniakowski, H.
12
2004
The power of adaptive algorithms for functions with singularities. Zbl 1213.65047
Plaskota, Leszek; Wasilkowski, Grzegorz W.
12
2009
On tractability of linear tensor product problems for \(\infty \)-variate classes of functions. Zbl 1296.65146
Wasilkowski, G. W.
12
2013
On tractability of weighted integration for certain Banach spaces of functions. Zbl 1041.65006
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
11
2004
On the complexity of stochastic integration. Zbl 0970.60060
Wasilkowski, G. W.; Wozniakowski, H.
11
2001
Complexity of weighted approximation over \(\mathbb{R}^d\). Zbl 0997.65015
Wasilkowski, G. W.; Woźniakowski, H.
11
2001
Tractability of approximation and integration for weighted tensor product problems over unbounded domains. Zbl 1002.65022
Wasilkowski, G. W.; Woźniakowski, H.
11
2002
Infinite-dimensional integration and the multivariate decomposition method. Zbl 1370.65013
Kuo, F. Y.; Nuyens, D.; Plaskota, L.; Sloan, I. H.; Wasilkowski, G. W.
11
2017
Integration and approximation of multivariate functions: Average case complexity with isotropic Wiener measure. Zbl 0770.41020
Wasilkowski, G. W.
10
1993
On the power of adaptive information for functions with singularities. Zbl 0751.65008
Wasilkowski, G. W.; Gao, F.
10
1992
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\). Zbl 1377.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
10
2017
Average case \(\epsilon\)-complexity in computer science - a Bayesian view. Zbl 0678.68040
Kadane, J. B.; Wasilkowski, G. W.
10
1985
On strong tractability of weighted multivariate integration. Zbl 1071.41027
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
9
2004
Optimal designs for weighted approximation and integration of stochastic processes on \([0,\infty)\). Zbl 1053.60038
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
9
2004
Uniform approximation of piecewise \(r\)-smooth and globally continuous functions. Zbl 1190.65021
Plaskota, Leszek; Wasilkowski, Grzegorz W.
9
2009
On multivariate integration for stochastic processes. Zbl 0791.41026
Ritter, Klaus; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
9
1993
Lattice algorithms for multivariate \(L_{\infty}\) approximation in the worst-case setting. Zbl 1182.65025
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
9
2009
A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
9
2017
Integration and approximation of multivariate functions: Average case complexity with isotropic Wiener measure. Zbl 0840.65150
Wasilkowski, G. W.
8
1994
The strong tractability of multivariate integration using lattice rules. Zbl 1042.65004
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
7
2004
Average case complexity of weighted approximation and integration over \(\mathbb R_{+}\). Zbl 1006.65006
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
7
2002
Computing convex hull in a floating point arithmetic. Zbl 0809.65148
Jaromczyk, Jerzy W.; Wasilkowski, G. W.
7
1994
Average case tractability of approximating \(\infty\)-variate functions. Zbl 1301.41026
Wasilkowski, G. W.
7
2014
Polynomial-time algorithms for multivariate linear problems with finite-order weights: worst case setting. Zbl 1103.41025
Wasilkowski, G. W.; Wozniakowski, H.
7
2005
Maximum likelihood estimators and worst case optimal algorithms for system identification. Zbl 0648.93066
Tempo, R.; Wasilkowski, G. W.
7
1988
How powerful is continuous nonlinear information for linear problems? Zbl 0618.65043
Kacewicz, B.; Wasilkowski, G. W.
7
1986
A piecewise constant algorithm for weighted \(L_{1}\) approximation over bounded or unbounded regions in \(\mathbb R^s\). Zbl 1103.65018
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
6
2005
New averaging technique for approximating weighted integrals. Zbl 1180.65032
Plaskota, L.; Wasilkowski, G. W.; Zhao, Y.
6
2009
On tractability of approximation in special function spaces. Zbl 1255.65042
Hegland, M.; Wasilkowski, G. W.
6
2013
Efficient implementations of the multivariate decomposition method for approximating infinite-variate integrals. Zbl 1401.65028
Gilbert, Alexander D.; Kuo, Frances Y.; Nuyens, Dirk; Wasilkowski, Grzegorz W.
6
2018
Small superposition dimension and active set construction for multivariate integration under modest error demand. Zbl 1372.65079
Gilbert, A. D.; Wasilkowski, G. W.
6
2017
An adaptive algorithm for weighted approximation of singular functions over \(\mathbb{R}\). Zbl 1278.65009
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Zhao, Yaxi
5
2013
Average case complexity of weighted integration and approximation over \(\mathbb{R}^d\) with isotropic weight. Zbl 1002.65021
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
5
2002
Numerical stability of a convex hull algorithm for simple polygons. Zbl 0783.68132
Jaromczyk, J. W.; Wasilkowski, G. W.
5
1993
On adaption with noisy information. Zbl 0661.94004
Kadane, J. B.; Wasilkowski, G. W.; Woźniakowski, H.
5
1988
Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
5
2019
Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034
Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
5
2019
Can any stationary iteration using linear information be globally convergent? Zbl 0439.65045
Wasilkowski, G. W.
5
1980
Any iteration for polynomial equations using linear information has infinite complexity. Zbl 0496.65024
Wasilkowski, G. W.
5
1983
Average condition number for solving linear equations. Zbl 0603.65025
Weiss, N.; Wasilkowski, G. W.; Woźniakowski, H.; Shub, M.
5
1986
A new optimal algorithm for weighted approximation and integration over R. Zbl 0966.41018
Han, Lei; Wasilkowski, G. W.
4
2000
Efficient algorithms for multivariate and \(\infty\)-variate integration with exponential weight. Zbl 1303.65009
Plaskota, L.; Wasilkowski, G. W.
4
2014
Worst case complexity of weighted approximation and integration over \(\mathbb{R}^d\). Zbl 1005.41017
Li, Youming; Wasilkowski, Grzegorz W.
4
2002
On average complexity of global optimization problems. Zbl 0787.90092
Wasilkowski, G. W.
4
1992
A note on the trade-off between sampling and quantization in signal processing. Zbl 0643.94005
Lee, D.; Pavlidis, T.; Wasilkowski, G. W.
4
1987
On optimal algorithms in an asymptotic model with Gaussian measure. Zbl 0649.65030
Wasilkowski, G. W.; Woźniakowski, H.
4
1988
On polynomial-time property for a class of randomized quadratures. Zbl 1067.65007
Wasilkowski, G. W.
3
2004
The exponent of discrepancy is at most \(1.4778\dotsc\). Zbl 0876.11041
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
3
1997
Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions. Zbl 0873.41025
Ritter, Klaus; Wasilkowski, Grzegorz W.
3
1996
Polynomial-time algorithms for multivariate linear problems with finite-order weights: Average case setting. Zbl 1170.65007
Wasilkowski, G. W.; Woźniakowski, H.
3
2009
On the average case complexity of solving Poisson equations. Zbl 0856.65120
Ritter, Klaus; Wasilkowski, Grzegorz W.
3
1996
Smolyak’s algorithm for integration and \(L_1\)-approximation of multivariate functions with bounded mixed derivatives of second order. Zbl 1069.41022
Plaskota, Leszek; Wasilkowski, Grzegorz W.
3
2004
Truncation dimension for function approximation. Zbl 1405.65021
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W.
3
2018
A survey of average case complexity for linear multivariate problems. Zbl 1298.62127
Wasilkowski, G. W.; Woźniakowski, H.
2
2009
The exact exponent of sparse grid quadratures in the weighted case. Zbl 0997.65001
Plaskota, Leszek; Wasilkowski, Grzegorz W.
2
2001
The strength of nonstationary iteration. Zbl 0543.65025
Wasilkowski, G. W.
2
1983
A clock synchronization problem with random delays. Zbl 0673.68033
Wasilkowski, G. W.
2
1989
On adaptive information with varying cardinality for linear problems with elliptically contoured measures. Zbl 0688.65037
Wasilkowski, G. W.
2
1989
On piecewise-polynomial approximation of functions with a bounded fractional derivative in an \(L_ p\)-norm. Zbl 0734.41008
Wasilkowski, G. W.
1
1990
Average case complexity of multivariate integration and function approximation. An Overview. Zbl 0868.68068
Wasilkowski, G. W.
1
1996
Quasi-Monte Carlo and \(\varepsilon\)-truncation dimension in ANOVA spaces. Zbl 1469.65019
Wasilkowski, G. W.
1
2021
On efficient weighted integration via a change of variables. Zbl 1451.65020
Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W.
1
2020
\( \varepsilon \)-superposition and truncation dimensions in average and probabilistic settings for \(\infty \)-variate linear problems. Zbl 1431.65013
Dingess, J.; Wasilkowski, G. W.
1
2020
Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
5
2019
Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034
Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
5
2019
Efficient implementations of the multivariate decomposition method for approximating infinite-variate integrals. Zbl 1401.65028
Gilbert, Alexander D.; Kuo, Frances Y.; Nuyens, Dirk; Wasilkowski, Grzegorz W.
6
2018
Truncation dimension for function approximation. Zbl 1405.65021
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W.
3
2018
Infinite-dimensional integration and the multivariate decomposition method. Zbl 1370.65013
Kuo, F. Y.; Nuyens, D.; Plaskota, L.; Sloan, I. H.; Wasilkowski, G. W.
11
2017
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\). Zbl 1377.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
10
2017
A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
9
2017
Small superposition dimension and active set construction for multivariate integration under modest error demand. Zbl 1372.65079
Gilbert, A. D.; Wasilkowski, G. W.
6
2017
Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
15
2016
On equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_1\) or \(L_\infty\). Zbl 1342.46032
Hefter, M.; Ritter, K.; Wasilkowski, G. W.
14
2016
Optimal algorithms for doubly weighted approximation of univariate functions. Zbl 1329.41021
Kuo, F. Y.; Plaskota, L.; Wasilkowski, G. W.
1
2016
Tractability of approximation of \(\infty\)-variate functions with bounded mixed partial derivatives. Zbl 1360.65056
Wasilkowski, G. W.
18
2014
Average case tractability of approximating \(\infty\)-variate functions. Zbl 1301.41026
Wasilkowski, G. W.
7
2014
Efficient algorithms for multivariate and \(\infty\)-variate integration with exponential weight. Zbl 1303.65009
Plaskota, L.; Wasilkowski, G. W.
4
2014
On tractability of linear tensor product problems for \(\infty \)-variate classes of functions. Zbl 1296.65146
Wasilkowski, G. W.
12
2013
On tractability of approximation in special function spaces. Zbl 1255.65042
Hegland, M.; Wasilkowski, G. W.
6
2013
An adaptive algorithm for weighted approximation of singular functions over \(\mathbb{R}\). Zbl 1278.65009
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Zhao, Yaxi
5
2013
Liberating the dimension for \(L_2\)-approximation. Zbl 1247.65013
Wasilkowski, G. W.
16
2012
Liberating the dimension for function approximation and integration. Zbl 1271.65049
Wasilkowski, G. W.
13
2012
Tractability of infinite-dimensional integration in the worst case and randomized settings. Zbl 1230.65037
Plaskota, L.; Wasilkowski, G. W.
31
2011
Liberating the dimension for function approximation: standard information. Zbl 1227.65140
Wasilkowski, G. W.; Woźniakowski, H.
16
2011
Liberating the dimension for function approximation. Zbl 1208.65024
Wasilkowski, G. W.; Woźniakowski, H.
15
2011
On decompositions of multivariate functions. Zbl 1196.41022
Kuo, F. Y.; Sloan, I. H.; Wasilkowski, G. W.; Wozniakowski, H.
68
2010
Liberating the dimension. Zbl 1203.65057
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
39
2010
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. Zbl 1208.65008
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
18
2010
On the power of standard information for multivariate approximation in the worst case setting. Zbl 1181.41038
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
29
2009
The power of adaptive algorithms for functions with singularities. Zbl 1213.65047
Plaskota, Leszek; Wasilkowski, Grzegorz W.
12
2009
Uniform approximation of piecewise \(r\)-smooth and globally continuous functions. Zbl 1190.65021
Plaskota, Leszek; Wasilkowski, Grzegorz W.
9
2009
Lattice algorithms for multivariate \(L_{\infty}\) approximation in the worst-case setting. Zbl 1182.65025
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
9
2009
New averaging technique for approximating weighted integrals. Zbl 1180.65032
Plaskota, L.; Wasilkowski, G. W.; Zhao, Y.
6
2009
Polynomial-time algorithms for multivariate linear problems with finite-order weights: Average case setting. Zbl 1170.65007
Wasilkowski, G. W.; Woźniakowski, H.
3
2009
A survey of average case complexity for linear multivariate problems. Zbl 1298.62127
Wasilkowski, G. W.; Woźniakowski, H.
2
2009
On the power of standard information for \(L_{\infty}\) approximation in the randomized setting. Zbl 1178.65013
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
1
2009
The power of adaption for approximating functions with singularities. Zbl 1198.65262
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Zhao, Yaxi
15
2008
Multivariate \(L_{\infty}\) approximation in the worst case setting over reproducing kernel Hilbert spaces. Zbl 1154.41016
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
14
2008
The power of standard information for multivariate approximation in the randomized setting. Zbl 1116.65003
Wasilkowski, G. W.; Woźniakowski, H.
15
2007
Randomly shifted lattice rules for unbounded integrands. Zbl 1112.65003
Kuo, Frances Y.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
15
2006
Adaption allows efficient integration of functions with unknown singularities. Zbl 1083.65031
Plaskota, Leszek; Wasilkowski, Grzegorz W.
17
2005
Polynomial-time algorithms for multivariate linear problems with finite-order weights: worst case setting. Zbl 1103.41025
Wasilkowski, G. W.; Wozniakowski, H.
7
2005
A piecewise constant algorithm for weighted \(L_{1}\) approximation over bounded or unbounded regions in \(\mathbb R^s\). Zbl 1103.65018
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
6
2005
On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
23
2004
Finite-order weights imply tractability of linear multivariate problems. Zbl 1064.41025
Wasilkowski, G. W.; Woźniakowski, H.
12
2004
On tractability of weighted integration for certain Banach spaces of functions. Zbl 1041.65006
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
11
2004
On strong tractability of weighted multivariate integration. Zbl 1071.41027
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
9
2004
Optimal designs for weighted approximation and integration of stochastic processes on \([0,\infty)\). Zbl 1053.60038
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
9
2004
The strong tractability of multivariate integration using lattice rules. Zbl 1042.65004
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
7
2004
On polynomial-time property for a class of randomized quadratures. Zbl 1067.65007
Wasilkowski, G. W.
3
2004
Smolyak’s algorithm for integration and \(L_1\)-approximation of multivariate functions with bounded mixed derivatives of second order. Zbl 1069.41022
Plaskota, Leszek; Wasilkowski, Grzegorz W.
3
2004
Tractability of approximation and integration for weighted tensor product problems over unbounded domains. Zbl 1002.65022
Wasilkowski, G. W.; Woźniakowski, H.
11
2002
Average case complexity of weighted approximation and integration over \(\mathbb R_{+}\). Zbl 1006.65006
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
7
2002
Average case complexity of weighted integration and approximation over \(\mathbb{R}^d\) with isotropic weight. Zbl 1002.65021
Plaskota, Leszek; Ritter, Klaus; Wasilkowski, Grzegorz W.
5
2002
Worst case complexity of weighted approximation and integration over \(\mathbb{R}^d\). Zbl 1005.41017
Li, Youming; Wasilkowski, Grzegorz W.
4
2002
The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065
Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
56
2001
On the power of standard information for weighted approximation. Zbl 1001.41013
Wasilkowski, G. W.; Woźniakowski, H.
22
2001
On the complexity of stochastic integration. Zbl 0970.60060
Wasilkowski, G. W.; Wozniakowski, H.
11
2001
Complexity of weighted approximation over \(\mathbb{R}^d\). Zbl 0997.65015
Wasilkowski, G. W.; Woźniakowski, H.
11
2001
The exact exponent of sparse grid quadratures in the weighted case. Zbl 0997.65001
Plaskota, Leszek; Wasilkowski, Grzegorz W.
2
2001
A new algorithm and worst case complexity for Feynman-Kac path integration. Zbl 1052.81520
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
19
2000
Complexity of weighted approximation over \(\mathbb{R}\). Zbl 0977.41009
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
18
2000
A new optimal algorithm for weighted approximation and integration over R. Zbl 0966.41018
Han, Lei; Wasilkowski, G. W.
4
2000
Weighted tensor product algorithms for linear multivariate problems. Zbl 0939.65079
Wasilkowski, G. W.; Woźniakowski, H.
45
1999
The exponent of discrepancy is at most \(1.4778\dotsc\). Zbl 0876.11041
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
3
1997
On tractability of path integration. Zbl 0863.65006
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
25
1996
Probabilistic and average linear width in \(L_ \infty\)-norm with respect to \(r\)-fold Wiener measure. Zbl 0835.41025
Maiorov, V. E.; Wasilkowski, G. W.
20
1996
Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions. Zbl 0873.41025
Ritter, Klaus; Wasilkowski, Grzegorz W.
3
1996
On the average case complexity of solving Poisson equations. Zbl 0856.65120
Ritter, Klaus; Wasilkowski, Grzegorz W.
3
1996
Average case complexity of multivariate integration and function approximation. An Overview. Zbl 0868.68068
Wasilkowski, G. W.
1
1996
Cubature and reconstruction of smooth isotropic random functions. Zbl 0925.65043
Ritter, K.; Wasilkowski, G. W.
1
1996
Explicit cost bounds of algorithms for multivariate tensor product problems. Zbl 0819.65082
Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
110
1995
Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions. Zbl 0872.62063
Ritter, Klaus; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
30
1995
Integration and approximation of multivariate functions: Average case complexity with isotropic Wiener measure. Zbl 0840.65150
Wasilkowski, G. W.
8
1994
Computing convex hull in a floating point arithmetic. Zbl 0809.65148
Jaromczyk, Jerzy W.; Wasilkowski, G. W.
7
1994
Integration and approximation of multivariate functions: Average case complexity with isotropic Wiener measure. Zbl 0770.41020
Wasilkowski, G. W.
10
1993
On multivariate integration for stochastic processes. Zbl 0791.41026
Ritter, Klaus; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
9
1993
Numerical stability of a convex hull algorithm for simple polygons. Zbl 0783.68132
Jaromczyk, J. W.; Wasilkowski, G. W.
5
1993
There exists a linear problem with infinite combinatory complexity. Zbl 0778.68047
Wasilkowski, G. W.; Woźniakowski, H.
1
1993
On detecting regularity of functions: A probabilistic analysis. Zbl 0852.65013
Gao, F.; Wasilkowski, G. W.
1
1993
On the power of adaptive information for functions with singularities. Zbl 0751.65008
Wasilkowski, G. W.; Gao, F.
10
1992
On average complexity of global optimization problems. Zbl 0787.90092
Wasilkowski, G. W.
4
1992
On the average complexity of multivariate problems. Zbl 0723.68050
Papageorgiou, A.; Wasilkowski, G. W.
34
1990
On piecewise-polynomial approximation of functions with a bounded fractional derivative in an \(L_ p\)-norm. Zbl 0734.41008
Wasilkowski, G. W.
1
1990
Randomization for continuous problems. Zbl 0675.65012
Wasilkowski, G. W.
16
1989
A clock synchronization problem with random delays. Zbl 0673.68033
Wasilkowski, G. W.
2
1989
On adaptive information with varying cardinality for linear problems with elliptically contoured measures. Zbl 0688.65037
Wasilkowski, G. W.
2
1989
Mixed settings for linear problems. Zbl 0691.65038
Wasilkowski, G. W.; Woźniakowski, H.
1
1989
Information-based complexity. Zbl 0654.94004
Traub, Joseph F.; Wasilkowski, G. W.; Woźniakowski, H.
237
1988
Information, uncertainty, complexity. (Informatsiya, neopredelennost’, slozhnost’). Transl. from the English by O. R. Chuyan. Transl. ed. by A. G. Sukharev. (Informatsiya, neopredelennost’, slozhnost’.) Zbl 0674.68039
Traub, J. F.; Wasilkowski, G. W.; Wozniakowski, H.
231
1988
Maximum likelihood estimators and worst case optimal algorithms for system identification. Zbl 0648.93066
Tempo, R.; Wasilkowski, G. W.
7
1988
On adaption with noisy information. Zbl 0661.94004
Kadane, J. B.; Wasilkowski, G. W.; Woźniakowski, H.
5
1988
On optimal algorithms in an asymptotic model with Gaussian measure. Zbl 0649.65030
Wasilkowski, G. W.; Woźniakowski, H.
4
1988
A note on the trade-off between sampling and quantization in signal processing. Zbl 0643.94005
Lee, D.; Pavlidis, T.; Wasilkowski, G. W.
4
1987
Approximation of linear functionals on a Banach space with a Gaussian measure. Zbl 0602.65036
Lee, D.; Wasilkowski, G. W.
42
1986
Information of varying cardinality. Zbl 0615.94004
Wasilkowski, G. W.
41
1986
Average case optimal algorithms in Hilbert spaces. Zbl 0588.41008
Wasilkowski, G. W.; Woźniakowski, H.
20
1986
Optimal algorithms for linear problems with Gaussian measures. Zbl 0622.65041
Wasilkowski, G. W.
16
1986
How powerful is continuous nonlinear information for linear problems? Zbl 0618.65043
Kacewicz, B.; Wasilkowski, G. W.
7
1986
Average condition number for solving linear equations. Zbl 0603.65025
Weiss, N.; Wasilkowski, G. W.; Woźniakowski, H.; Shub, M.
5
1986
...and 11 more Documents
all top 5

Cited by 750 Authors

99 Woźniakowski, Henryk
77 Wasilkowski, Grzegorz W.
44 Novak, Erich
34 Pillichshammer, Friedrich
32 Ritter, Klaus
31 Kuo, Frances Y.
31 Sloan, Ian Hugh
28 Plaskota, Leszek
27 Heinrich, Stefan
27 Werschulz, Arthur G.
24 Gnewuch, Michael
24 Hinrichs, Aicke
24 Kacewicz, Bolesław Z.
24 Kritzer, Peter
23 Przybyłowicz, Paweł
21 Dick, Josef
19 Hickernell, Fred J.
19 Müller-Gronbach, Thomas
15 Nuyens, Dirk
14 Milanese, Mario
14 Wang, Heping
14 Xu, Guiqiao
12 Griebel, Michael
10 Schwab, Christoph
10 Ullrich, Mario
10 Ullrich, Tino
9 Nobile, Fabio
9 Papageorgiou, Anargyros
8 Doerr, Benjamin
8 Fang, Gensun
8 Mathé, Peter
8 Potts, Daniel
8 Tempo, Roberto
7 Kon, Mark A.
7 Morkisz, Paweł M.
7 Tamellini, Lorenzo
7 Tempone, Raúl F.
7 Wang, Xiaoqun
6 Aistleitner, Christoph
6 Hefter, Mario
6 Kämmerer, Lutz
6 Khartov, Alekseĭ Andreevich
6 Krieg, David
6 Kunsch, Robert J.
6 Leovey, Hernan
6 Liu, Yongping
6 Siedlecki, Paweł
6 Temirgaliev, Nurlan Temirgalievich
6 Traub, Joseph Frederick
6 Zhai, Xuebo
5 Borodachov, Sergiy V.
5 Duan, Liqin
5 Jiang, Tianzi
5 Leobacher, Gunther
5 Li, Youming
5 Partington, Jonathan R.
5 Rahman, Sharif
5 Seleznjev, Oleg
5 Sickel, Winfried
5 Volkmer, Toni
5 Vybíral, Jan
5 Ye, Peixin
4 Babenko, Vladyslav Fedorovych
4 Blanke, Delphine
4 Bosserhoff, Volker
4 Daun, Thomas
4 Hofmann, Norbert
4 Irrgeher, Christian
4 Makila, Pertti M.
4 Novara, Carlo
4 Pausinger, Florian
4 Pereverzev, Sergei V.
4 Petras, Iasonas
4 Prochno, Joscha
4 Römisch, Werner
4 Schmischke, Michael
4 Suryanarayana, Gowri
4 Vial, Céline
4 Vicino, Antonio
4 Weimar, Markus
4 Yaroslavtseva, Larisa
3 Brattka, Vasco
3 Calvin, James M.
3 Chen, Guanggui
3 Cools, Ronald
3 Creutzig, Jakob
3 Cucker, Felipe
3 Dahlke, Stephan
3 Gensun, Fang
3 Gilbert, Alexander D.
3 Goda, Takashi
3 Gunzburger, Max D.
3 Haji-Ali, Abdul-Lateef
3 Harbrecht, Helmut
3 Herrmann, Lukas
3 Jackowski, Tomasz
3 Jiménez Rugama, Lluís Antoni
3 Lifshits, Mikhail A.
3 Maiorov, Vitaly Evgen’evich
3 Oates, Chris J.
...and 650 more Authors
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Cited in 167 Serials

324 Journal of Complexity
45 Mathematics of Computation
42 Journal of Approximation Theory
20 Numerische Mathematik
16 Automatica
16 Journal of Computational and Applied Mathematics
14 Numerical Algorithms
14 Foundations of Computational Mathematics
12 Constructive Approximation
11 Journal of Computational Physics
11 SIAM Journal on Numerical Analysis
8 Computer Methods in Applied Mechanics and Engineering
8 BIT
8 Theoretical Computer Science
8 Systems & Control Letters
8 The Annals of Applied Probability
8 SIAM Journal on Scientific Computing
7 Applied Mathematics and Computation
7 Aequationes Mathematicae
7 Bulletin of the American Mathematical Society. New Series
6 The Annals of Statistics
6 Journal of Scientific Computing
6 SIAM/ASA Journal on Uncertainty Quantification
5 Numerical Functional Analysis and Optimization
5 Mathematical Programming. Series A. Series B
5 Russian Mathematics
4 Journal of Mathematical Analysis and Applications
4 Ukrainian Mathematical Journal
4 International Journal for Numerical Methods in Engineering
4 Mathematics and Computers in Simulation
4 Journal of Integral Equations and Applications
4 Computational Geometry
4 International Journal of Computer Mathematics
4 Advances in Computational Mathematics
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Statistics and Computing
3 Computers & Mathematics with Applications
3 International Journal of Control
3 Journal of Mathematical Physics
3 Journal of Optimization Theory and Applications
3 Journal of Statistical Planning and Inference
3 Proceedings of the American Mathematical Society
3 Statistics & Probability Letters
3 International Journal of Computational Geometry & Applications
3 SIAM Review
3 Stochastic Processes and their Applications
3 Computational Optimization and Applications
3 Applied and Computational Harmonic Analysis
3 Monte Carlo Methods and Applications
3 Optimization Methods & Software
3 Journal of Inequalities and Applications
3 Acta Mathematica Sinica. English Series
3 Acta Numerica
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Applicable Analysis
2 Computer Physics Communications
2 International Journal of Systems Science
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Transport Theory and Statistical Physics
2 The Mathematical Intelligencer
2 Computing
2 Fuzzy Sets and Systems
2 Journal of the American Statistical Association
2 Transactions of the American Mathematical Society
2 Stochastic Analysis and Applications
2 Annals of Pure and Applied Logic
2 Applied Numerical Mathematics
2 Journal of Economic Dynamics & Control
2 Journal of Theoretical Probability
2 Applied Mathematics Letters
2 Science in China. Series A
2 International Journal of Adaptive Control and Signal Processing
2 Journal of Global Optimization
2 Computational Statistics
2 European Journal of Operational Research
2 Cybernetics and Systems Analysis
2 Mathematical Logic Quarterly (MLQ)
2 ETNA. Electronic Transactions on Numerical Analysis
2 The Journal of Fourier Analysis and Applications
2 Methodology and Computing in Applied Probability
2 Mathematical Modelling and Analysis
2 Quantum Information Processing
2 Analysis and Applications (Singapore)
2 Electronic Journal of Statistics
2 Science China. Mathematics
2 East Asian Journal on Applied Mathematics
2 Sampling Theory, Signal Processing, and Data Analysis
1 Advances in Applied Probability
1 Artificial Intelligence
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Metrika
1 Physics Letters. A
1 Physics Reports
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Chaos, Solitons and Fractals
...and 67 more Serials
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Cited in 45 Fields

591 Numerical analysis (65-XX)
273 Approximations and expansions (41-XX)
173 Computer science (68-XX)
126 Probability theory and stochastic processes (60-XX)
69 Statistics (62-XX)
64 Functional analysis (46-XX)
54 Number theory (11-XX)
50 Operator theory (47-XX)
45 Systems theory; control (93-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
43 Partial differential equations (35-XX)
33 Operations research, mathematical programming (90-XX)
31 Information and communication theory, circuits (94-XX)
27 Ordinary differential equations (34-XX)
22 Quantum theory (81-XX)
21 Integral equations (45-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Measure and integration (28-XX)
14 Real functions (26-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
11 Mathematical logic and foundations (03-XX)
11 Convex and discrete geometry (52-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
6 Fluid mechanics (76-XX)
5 Special functions (33-XX)
5 Mechanics of deformable solids (74-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Biology and other natural sciences (92-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
4 Algebraic topology (55-XX)
3 General topology (54-XX)
2 Geometry (51-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

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