LIST OF PUBLICATIONS
Leszek Plaskota
Monograph:
- L. Plaskota,
"Noisy Information and Computational Complexity",
Cambridge University Press, Cambridge, 1996.
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Papers:
- L. Plaskota, and G.W. Wasilkowski,
Uniform approximation of piecewise r-smooth and globally
continuous functions, submitted.
- L. Plaskota, G.W. Wasilkowski, and Y. Zhao,
The power of adaption for approximating functions with singularities,
Mathematics of Computation, to appear.
- L. Plaskota, and G.W. Wasilkowski,
Adaption allows efficient integration of functions with unknown singularities,
Numerische Mathematik 102 (2005), pp. 123-144.
- M.A. Kon, and L. Plaskota,
Information-based nonlinear approximation: an average case setting,
J. Complexity 21 (2005), pp.211-229.
- L. Plaskota, and G.W. Wasilkowski,
Smolyak's algorithm for integration and L1-approximation
of multivariate functions with bounded mixed derivatives
of second order, Numerical Algorithms 36 (2004),
pp.229-246.
- P. Gajda, Y. Li, L. Plaskota, and G.W. Wasilkowski,
A Monte Carlo algorithm for average case weighted integration
over Rd,
Math. Comp. 73 (2004), pp.813-825.
- L. Plaskota, K. Ritter, and G.W. Wasilkowski,
Optimal designs for weighted approximation and integration
of stochastic processes on R+,
J. Complexity 20 (2004), pp.108-131.
- L. Plaskota, K. Ritter, and G.W. Wasilkowski,
Average case complexity of weighted integration
and approximation over Rd with isotropic weight,
in Proc. of MCQMC 2002, Hong-Kong 2000,
Springer 2002, pp.446-459.
- L. Plaskota, K. Ritter, and G.W. Wasilkowski,
Average case complexity of weighted approximation and
integration over R+, J. Complexity 18
(2001), pp.517-544.
- L. Plaskota and G.W. Wasilkowski,
The exact exponent of sparse grid quadratures
in the weighted case,
J. Complexity 17 (2001), pp.840-849.
- M. Kon and L. Plaskota,
Complexity of neural network approximation
with limited information: a worst case approach,
J. Complexity 17 (2001), pp.345-365.
- L. Plaskota, G.W. Wasilkowski, and H. Wozniakowski,
A new algorithm and worst case complexity for Feynman-Kac
path integration,
J. Comput. Physics 164 (2000), pp.335-353.
- M. Kon and L. Plaskota,
Information complexity of neural networks,
Neural Networks 13 (2000), pp.365-376.
- L. Plaskota,
The exponent of discrepancy of sparse grids is at least 2.1933,
Advances in Comput. Math. 12 (2000), pp.2-24.
- L. Plaskota,
Average case uniform approximation in the presence of Gaussian
noise, J. Approx. Theory 93 (1998), pp. 501-515.
- L. Plaskota,
Worst case complexity of problems with random information
noise, J. Complexity 12 (1996), pp. 416-439.
- L. Plaskota, Survey of computational complexity with noisy information,
in ``The Mathematics of Numerical Analysis'', vol. 32 (1996),
Proc. of 1995 AMS-SIAM Summer Seminar in Appl. Math.,
Park City, Utah, ser. Lecture in Appl. Math.,
eds. J. Renegar, M. Shub, and S. Smale, pp. 651-664.
- L. Plaskota, How to benefit from noise, J. Complexity
12 (1996), pp. 175-184.
- L. Plaskota, Complexity of problems with noisy information, in
``Applied Stochastic and Optimization'', Special Issues of
Zeitschrift für Angewandte Mathematik und Mechanik
(ZAMM), Issue 3, O. Mohrenholtz, K. Morti, R. Mennicken
(eds.), Proc. of ICIAM/JuneGAMM 95 Symposium in Hamburg, Germany,
pp. 116-120.
- L. Plaskota, Average complexity for linear problems in a model with
varying information noise, J. Complexity
11 (1995), pp. 240-264.
- L. Plaskota, Average case approximation of linear functionals based on
information with deterministic noise, J. Computing and
Information 4 (1994), pp. 21-39.
- L. Plaskota, A note on varying cardinality in the average case setting,
J. Complexity 9 (1993), pp.458-470.
- L. Plaskota,
Optimal approximation of linear operators based on noisy data
on functionals, J. Approx. Theory 73 (1993),
pp.93-105.
- B.Z. Kacewicz and L. Plaskota, The minimal cost of approximating linear
operators using perturbed information,
J. Complexity 9 (1993), pp.113-134.
- L. Plaskota, Function approximation and integration on the Wiener space
with noisy data, J. Complexity 8 (1992),
pp.301-323.
- B.Z. Kacewicz and L. Plaskota, Termination conditions for approximating
linear problems with noisy information,
Math. of Comput. 59 (1992), pp.503-513.
- B.Z. Kacewicz and L. Plaskota, Noisy information for linear problems
in the asymptotic setting, J. Complexity
7 (1991), pp.35-57.
- B.Z. Kacewicz and L. Plaskota, On the minimal cost of approximating
linear problems based on information with deterministic noise,
Numer. Funct. Anal. and Optimiz. 11 (1990), pp.511-528.
- L. Plaskota, On average case complexity of linear problems with noisy
information, J. Complexity 6 (1990), pp.199-230.
- L. Plaskota, Asymptotic error for the global maxima of functions in
$s$ dimensions, J. Complexity 5 (1989), pp.369-378.
- L. Plaskota, Optimal linear information for the search for the maximum
of real functions (in Russian), Zh. Vychisl. Mat.
i Mat. Fiz. 26 (1986), pp.934-938.