Friedrich Pillichshammer

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 54

Top Topics

Monte Carlo Methods

Complete Picture

Top Venues

J. Comput. Appl. Math.

J. Approx. Theory

Publications

Erich Novak, Friedrich Pillichshammer
-discrepancy and integration in non-homogeneous tensor product spaces. CoRR (2024)
Erich Novak, Friedrich Pillichshammer
-discrepancy for finite p>1 suffers from the curse of dimensionality. CoRR (2024)
Erich Novak, Friedrich Pillichshammer
Intractability results for integration in tensor product spaces. CoRR (2024)
Erich Novak, Friedrich Pillichshammer
-discrepancy with finite p. CoRR (2023)
Erich Novak, Friedrich Pillichshammer
. J. Complex. 79 (2023)
Friedrich Pillichshammer
The BMO-discrepancy suffers from the curse of dimensionality. J. Complex. 76 (2023)
Friedrich Pillichshammer
The BMO-discrepancy suffers from the curse of dimensionality. CoRR (2023)
Tiangang Cui, Friedrich Pillichshammer
Bernstein approximation and beyond: proofs by means of elementary probability theory. CoRR (2023)
Nicki Holighaus, Günther Koliander, Clara Hollomey, Friedrich Pillichshammer
Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation. CoRR (2023)
Nicki Holighaus, Günther Koliander, Clara Hollomey, Friedrich Pillichshammer
Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation. IEEE ACM Trans. Audio Speech Lang. Process. 31 (2023)
Tiangang Cui, Josef Dick, Friedrich Pillichshammer
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. CoRR (2023)
Gunther Leobacher, Friedrich Pillichshammer, Adrian Ebert
-approximation and integration in weighted Hermite spaces of finite smoothness. J. Complex. 78 (2023)
Friedrich Pillichshammer
-discrepancy and diaphony bounds for higher order digital sequences. CoRR (2022)
Adrian Ebert, Peter Kritzer, Friedrich Pillichshammer
Tractability of approximation in the weighted Korobov space in the worst-case setting. CoRR (2022)
Gunther Leobacher, Friedrich Pillichshammer, Adrian Ebert
-approximation and integration in weighted Hermite spaces of finite smoothness. CoRR (2022)
Mathias Sonnleitner, Friedrich Pillichshammer
-approximation in Sobolev spaces. J. Complex. 67 (2021)
Ana-Isabel Gómez, Domingo Gómez-Pérez, Friedrich Pillichshammer
Secure pseudorandom bit generators and point sets with low star-discrepancy. J. Comput. Appl. Math. 396 (2021)
Josef Dick, Friedrich Pillichshammer
Weighted integration over a hyperrectangle based on digital nets and sequences. J. Comput. Appl. Math. 393 (2021)
Friedrich Pillichshammer
A note on Korobov lattice rules for integration of analytic functions. J. Complex. 63 (2021)
Adrian Ebert, Friedrich Pillichshammer
Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. J. Complex. 67 (2021)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
On quasi-Monte Carlo methods in weighted ANOVA spaces. Math. Comput. 90 (329) (2021)
Adrian Ebert, Friedrich Pillichshammer
Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. CoRR (2021)
Friedrich Pillichshammer, Mathias Sonnleitner
A note on isotropic discrepancy and spectral test of lattice point sets. J. Complex. 58 (2020)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. J. Complex. 61 (2020)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. CoRR (2020)
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer
-discrepancy of Korobov's p-sets. CoRR (2020)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On efficient weighted integration via a change of variables. Numerische Mathematik 146 (3) (2020)
Friedrich Pillichshammer
A note on Korobov lattice rules for integration of analytic functions. CoRR (2020)
Josef Dick, Friedrich Pillichshammer
Weighted integration over a cube based on digital nets and sequences. CoRR (2020)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On alternative quantization for doubly weighted approximation and integration over unbounded domains. J. Approx. Theory 256 (2020)
Peter Kritzer, Friedrich Pillichshammer, Greg W. Wasilkowski
On Quasi-Monte Carlo Methods in Weighted ANOVA Spaces. CoRR (2020)
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno
Tractability properties of the discrepancy in Orlicz norms. J. Complex. 61 (2020)
Mathias Sonnleitner, Friedrich Pillichshammer
-approximation in Sobolev spaces. CoRR (2020)
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno
Tractability properties of the discrepancy in Orlicz norms. CoRR (2019)
Aicke Hinrichs, Friedrich Pillichshammer, Shu Tezuka
Tractability properties of the weighted star discrepancy of the Halton sequence. J. Comput. Appl. Math. 350 (2019)
Aicke Hinrichs, Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Truncation dimension for linear problems on multivariate function spaces. Numer. Algorithms 80 (2) (2019)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Truncation in average and worst case settings for special classes of ∞-variate functions. Math. Comput. Simul. 161 (2019)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On alternative quantization for doubly weighted approximation and integration over unbounded domains. CoRR (2019)
Josef Dick, Christian Irrgeher, Gunther Leobacher, Friedrich Pillichshammer
On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness. SIAM J. Numer. Anal. 56 (2) (2018)
Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof
Editorial. Math. Comput. Simul. 143 (2018)
Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki
Digital net properties of a polynomial analogue of Frolov's construction. Finite Fields Their Appl. 51 (2018)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer
Integration and approximation in cosine spaces of smooth functions. Math. Comput. Simul. 143 (2018)
Friedrich Pillichshammer
Tractability properties of the weighted star discrepancy of regular grids. J. Complex. 46 (2018)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
A note on equivalence of anchored and ANOVA spaces; lower bounds. J. Complex. 38 (2017)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
-Approximation in Korobov spaces with exponential weights. J. Complex. 41 (2017)
Peter Hellekalek, Peter Kritzer, Friedrich Pillichshammer
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. J. Complex. 33 (2016)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Approximation in Hermite spaces of smooth functions. J. Approx. Theory 207 (2016)
Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki
Lattice based integration algorithms: Kronecker sequences and rank-1 lattices. CoRR (2016)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Very low truncation dimension for high dimensional integration under modest error demand. J. Complex. 35 (2016)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. J. Approx. Theory 207 (2016)
Christian Irrgeher, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Integration in Hermite spaces of analytic functions. J. Complex. 31 (3) (2015)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. J. Comput. Appl. Math. 276 (2015)
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer
Proof techniques in quasi-Monte Carlo theory. J. Complex. 31 (3) (2015)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Numerical integration in log-Korobov and log-cosine spaces. Numer. Algorithms 70 (4) (2015)
Josef Dick, Friedrich Pillichshammer
The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers. SETA (2014)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Math. Comput. 83 (287) (2014)
Peter Kritzer, Friedrich Pillichshammer
Tractability of Multivariate Integration in Hybrid Function Spaces. MCQMC (2014)
Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Approximation of analytic functions in Korobov spaces. J. Complex. 30 (2) (2014)
Josef Dick, Dirk Nuyens, Friedrich Pillichshammer
Lattice rules for nonperiodic smooth integrands. Numerische Mathematik 126 (2) (2014)
Friedrich Pillichshammer, Gottlieb Pirsic
On the existence and distribution quality of hyperplane sequences. Finite Fields Their Appl. 22 (2013)
Julia Greslehner, Friedrich Pillichshammer
Discrepancy of higher rank polynomial lattice point sets. Monte Carlo Methods Appl. 18 (1) (2012)
Jan Baldeaux, Josef Dick, Gunther Leobacher, Dirk Nuyens, Friedrich Pillichshammer
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. Numer. Algorithms 59 (3) (2012)
Jan Baldeaux, Josef Dick, Friedrich Pillichshammer
Duality theory and propagation rules for higher order nets. Discret. Math. 311 (5) (2011)
Jan Baldeaux, Josef Dick, Julia Greslehner, Friedrich Pillichshammer
Construction algorithms for higher order polynomial lattice rules. J. Complex. 27 (3-4) (2011)
Gottlieb Pirsic, Friedrich Pillichshammer
Extensible hyperplane nets. Finite Fields Their Appl. 17 (5) (2011)
Josef Dick, Gerhard Larcher, Friedrich Pillichshammer, Henryk Wozniakowski
Exponential convergence and tractability of multivariate integration for Korobov spaces. Math. Comput. 80 (274) (2011)
Friedrich Pillichshammer
Euler's Constant and Averages of Fractional Parts. Am. Math. Mon. 117 (1) (2010)
Andreas Hofinger, Friedrich Pillichshammer
Learning a function from noisy samples at a finite sparse set of points. J. Approx. Theory 161 (2) (2009)
Gerhard Larcher, Friedrich Pillichshammer
The Sum of Distances between Vertices of a Convex Polygon with Unit Perimeter. Am. Math. Mon. 115 (4) (2008)
Aicke Hinrichs, Friedrich Pillichshammer, Wolfgang Ch. Schmid
Tractability properties of the weighted star discrepancy. J. Complex. 24 (2) (2008)
Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse
The construction of good extensible rank-1 lattices. Math. Comput. 77 (264) (2008)
Benjamin Doerr, Michael Gnewuch, Peter Kritzer, Friedrich Pillichshammer
Component-by-component construction of low-discrepancy point sets of small size. Monte Carlo Methods Appl. 14 (2) (2008)
Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse
The construction of good extensible Korobov rules. Computing 79 (1) (2007)
Ligia L. Cristea, Josef Dick, Gunther Leobacher, Friedrich Pillichshammer
The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets. Numerische Mathematik 105 (3) (2007)
Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Wolfgang Ch. Schmid
On the existence of higher order polynomial lattices based on a generalized figure of merit. J. Complex. 23 (4-6) (2007)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Finite Fields Their Appl. 13 (4) (2007)
Josef Dick, Friedrich Pillichshammer
Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. J. Complex. 23 (4-6) (2007)
Gottlieb Pirsic, Josef Dick, Friedrich Pillichshammer
Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces. SIAM J. Numer. Anal. 44 (1) (2006)
Ligia L. Cristea, Josef Dick, Friedrich Pillichshammer
discrepancy of randomized digital nets in prime base. J. Complex. 22 (5) (2006)
Josef Dick, Friedrich Pillichshammer
Diaphony, discrepancy, spectral test and worst-case error. Math. Comput. Simul. 70 (3) (2005)
Josef Dick, Gunther Leobacher, Friedrich Pillichshammer
Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy. SIAM J. Numer. Anal. 43 (1) (2005)
Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan
Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74 (252) (2005)
Josef Dick, Friedrich Pillichshammer
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. J. Complex. 21 (2) (2005)
Friedrich Pillichshammer
A lower bound for rank 2 lattice rules. Math. Comput. 73 (246) (2004)
Friedrich Pillichshammer
discrepancy of scrambled nets. J. Complex. 20 (5) (2004)
Gunther Leobacher, Friedrich Pillichshammer
discrepancy and tractability of integration. J. Complex. 19 (4) (2003)
Gunther Leobacher, Friedrich Pillichshammer
A Method for Approximate Inversion of the Hyperbolic CDF. Computing 69 (4) (2002)
Gerhard Larcher, Friedrich Pillichshammer
-Discrepancy of the Sobol-Hammersley Net in Dimension 3. J. Complex. 18 (2) (2002)