Mario Ullrich

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 33

Top Topics

Smooth Functions

Numerical Integration

Top Venues

J. Approx. Theory

SIAM J. Numer. Anal.

Publications

David Krieg, Erich Novak, Mario Ullrich
On the power of adaption and randomization. CoRR (2024)
David Krieg, Kateryna Pozharska, Mario Ullrich, Tino Ullrich
Sampling projections in the uniform norm. CoRR (2024)
Mathias Sonnleitner, Mario Ullrich
On the power of iid information for linear approximation. CoRR (2023)
David Krieg, Kateryna Pozharska, Mario Ullrich, Tino Ullrich
Sampling recovery in the uniform norm. CoRR (2023)
David Krieg, Pawel Siedlecki, Mario Ullrich, Henryk Wozniakowski
-approximation with function values. Adv. Comput. Math. 49 (2) (2023)
Mario Ullrich, Jan Vybíral
Deterministic Constructions of High-Dimensional Sets with Small Dispersion. Algorithmica 84 (7) (2022)
Erich Novak, Joscha Prochno, Mario Ullrich
Approximation and Geometry in High Dimensions. J. Complex. 71 (2022)
Matthieu Dolbeault, David Krieg, Mario Ullrich
. CoRR (2022)
David Krieg, Pawel Siedlecki, Mario Ullrich, Henryk Wozniakowski
-approximation with function values. CoRR (2022)
David Krieg, Mario Ullrich
-approximation: Part II. J. Complex. 66 (2021)
David Krieg, Mario Ullrich
-Approximation. Found. Comput. Math. 21 (4) (2021)
Christopher Kacwin, Jens Oettershagen, Mario Ullrich, Tino Ullrich
Numerical Performance of Optimized Frolov Lattices in Tensor Product Reproducing Kernel Sobolev Spaces. Found. Comput. Math. 21 (3) (2021)
David Krieg, Mario Ullrich
-approximation: Part II. CoRR (2020)
Mario Ullrich
-approximation with high probability. CoRR (2020)
Mario Ullrich
On the worst-case error of least squares algorithms for L2-approximation with high probability. J. Complex. 60 (2020)
Vladimir N. Temlyakov, Mario Ullrich
On the fixed volume discrepancy of the Fibonacci sets in the integral norms. J. Complex. 61 (2020)
Mario Ullrich
A note on the dispersion of admissible lattices. Discret. Appl. Math. 257 (2019)
Aicke Hinrichs, Joscha Prochno, Mario Ullrich, Jan Vybíral
The minimal k-dispersion of point sets in high dimensions. J. Complex. 51 (2019)
Mario Ullrich, Jan Vybíral
Deterministic constructions of high-dimensional sets with small dispersion. CoRR (2019)
Peter Kritzer, Frances Y. Kuo, Dirk Nuyens, Mario Ullrich
Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension. J. Approx. Theory 240 (2019)
Vladimir N. Temlyakov, Mario Ullrich
On the fixed volume discrepancy of the Fibonacci sets in the integral norms. CoRR (2019)
Aicke Hinrichs, Joscha Prochno, Mario Ullrich
The curse of dimensionality for numerical integration on general domains. J. Complex. 50 (2019)
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)
Mario Ullrich, Jan Vybíral
An upper bound on the minimal dispersion. J. Complex. 45 (2018)
Daniel Rudolf, Mario Ullrich
Comparison of hit-and-run, slice sampler and random walk Metropolis. J. Appl. Probab. 55 (4) (2018)
Christopher Kacwin, Jens Oettershagen, Mario Ullrich, Tino Ullrich
Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces. CoRR (2018)
Mario Ullrich
A lower bound for the dispersion on the torus. Math. Comput. Simul. 143 (2018)
Mario Ullrich
A Monte Carlo Method for Integration of Multivariate Smooth Functions. SIAM J. Numer. Anal. 55 (3) (2017)
Erich Novak, Mario Ullrich, Henryk Wozniakowski, Shun Zhang
Complexity of oscillatory integrals on the real line. Adv. Comput. Math. 43 (3) (2017)
Mario Ullrich
A note on the dispersion of admissible lattices. CoRR (2017)
Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Wozniakowski
Product rules are optimal for numerical integration in classical smoothness spaces. J. Complex. 38 (2017)
Mario Ullrich, Tino Ullrich
The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative. SIAM J. Numer. Anal. 54 (2) (2016)
Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki
Lattice based integration algorithms: Kronecker sequences and rank-1 lattices. CoRR (2016)
Erich Novak, Mario Ullrich, Henryk Wozniakowski
Complexity of oscillatory integration for univariate Sobolev spaces. J. Complex. 31 (1) (2015)
Mario Ullrich
A lower bound for the dispersion on the torus. CoRR (2015)
Aicke Hinrichs, Erich Novak, Mario Ullrich
On weak tractability of the Clenshaw-Curtis Smolyak algorithm. J. Approx. Theory 183 (2014)
Mario Ullrich
On "Upper Error Bounds for Quadrature Formulas on Function Classes" by K.K. Frolov. MCQMC (2014)
Mario Ullrich
Swendsen-Wang Is Faster than Single-Bond Dynamics. SIAM J. Discret. Math. 28 (1) (2014)
Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Wozniakowski
The curse of dimensionality for numerical integration of smooth functions II. J. Complex. 30 (2) (2014)
Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Wozniakowski
The curse of dimensionality for numerical integration of smooth functions. Math. Comput. 83 (290) (2014)
Catherine S. Greenhill, Mario Ullrich
Heat-bath Markov chains have no negative eigenvalues CoRR (2013)
Mario Ullrich
Comparison of Swendsen-Wang and heat-bath dynamics. Random Struct. Algorithms 42 (4) (2013)
Mario Ullrich
Rapid mixing of Swendsen-Wang and single-bond dynamics in two dimensions CoRR (2012)
Mario Ullrich
Swendsen-Wang is faster than single-bond dynamics CoRR (2012)